Help!

Para determinar el monto del interés de un depósito con cierta tasa de interés , capital inicial
y tiempo , se usa la siguiente expresión: =
∙ (1 +

100)

. Carlos depositó un capital de
$ 1.500.000 durante un año y medio a una tasa de interés mensual del 2,5 %, ¿cuál es el monto que
retirará Carlos después de este período?

Answers

Answer 1

The balance of Carlos account after this period, using simple interest, is of:

$2,339,488.08.

How to obtain the balance?

This is a simple interest problem, hence the balance of the account can be obtained using an exponential function, defined as follows:

[tex]B(n) = B(0)(1 + r)^n[/tex]

In which the parameters of the exponential function are defined as follows:

B(0) is the initial deposit.r is the interest rate, as a decimal.n is the number of periods.

In the context of this problem, the values of these parameters are given as follows:

B(0) = 1500000, r = 0.025, n = 18, as one and a half year = 18 months.

Then the balance of Carlos account is obtained as follows:

B(18) = 1500000(1.025)^18 = $2,339,488.08

Translation

Carlos deposited: $1,500,000.Time of 1.5 years.Interest rate of 2.5% montly.Asks for the balance.

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Related Questions

farrow co. expects to sell 150,000 units of its product in the next period with the following results.

Answers

Farrow co has to accept the offer.

Given that,

In the upcoming time frame, Farrow Co. anticipates selling 150,000 pieces of its product, with the following outcomes.

The calculation of the total combined net income is displayed below:

           Normal Volume         Additional Volume              Total

Sales    $2,250,000                  $180,000                           $2,430,000

                                                   (15,000 × $12)

Costs and expenses:    

Direct materials $300,000           $30,000                         $330,000

Direct labor  $600,000                   $60,000                         $660,000

Overhead     $150,000                    $22,500                          $172,500

                                                  ($150,000 × 15%)

Selling expenses $225,000                                            $225,000

Administrative expenses $385,500 $64,500                          $450,000

Total costs and expenses $1,660,500 $177,000          $1,837,500

Incremental income (loss) from new business $589,500 $3,000 $592,500  

Therefore, the company should accept the offer      

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which is not true about the pascals triangle

Answers

The statement which not true about the Pascal’s Triangle is that it is not symmetrical.

What are the correct statements about Pascal’s Triangle?

It is symmetrical.The first diagonal is all 1’s.The second diagonal is the counting numbers.Any number in the triangle is the sum of the two numbers directly above it.Each row adds to a power of 2.The first and last numbers of a row are always 1.The nth row gives the coefficients in the expansion of (x+y)^n.

Pascal's Triangle presents us how many ways heads and tails can combine. This can then show us the probability of any combination.

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Given the function f(x) = x²-4x, evaluate f(2)

Answers

Answer:

f(2) = -4

Step-by-step explanation:

f(x) = x²-4x

f(2) = (2)²-4(2)  ==> plugin 2 for x

f(2) = 4 - 4 * 2  ==> simplify

f(2) = 4 - 8

f(2) = -4

What is the value of |โ32|?

Answers

The value of |-32| is 32.

|−32| is the absolute value or modulus of −32 . Absolute value or modulus of a real number is always positive i.e. without its sign (i.e. negative or positive) and in value is equal to just physical value of the number under consideration. So |−32|=32 .

Modulus

The meaning of MODULUS is the factor by which a logarithm of a number to one base is multiplied to obtain the logarithm of the number to a new base.

A modulus function is a function which gives the absolute value of a number or variable. It produces the magnitude of the number of variables.

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8188.8
A new washing machine used 3½ gallons of water per full load to clean clothes. If Sam
washed 3% loads of clothes, how many gallons of water would be used?

Answers

Answer: 13.4 oz
Explanation: you would first convert gallons to oz. Then take that number and times it by the percentage, 3%X448=13.44 fluid ounces

Se tiene que f varía directamente con j

Si f=27 cuando j=9

Calcule el valor de j cuando f=9

Answers

Using direct variation, the value of j when f equals 9 is 3

Variations

A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

In the question given, we have f varying directly with j

f ∝ j

f = k j

k = f / j

f₁ / j₁ = f₂ / j₂

Substituting the values into the equation;

27 / 9 = 9 / j₂

j₂ = 9 * 9 / 27

j₂ = 81 / 27

j₂ = 3

The value of j₂ = 3

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Translation: We have that f varies directly with j, if f = 27 when j = 9. Calculate the value of j when f = 9

The wholesale price for a shirt is 5.50. A certain department store marks up the wholesale price by 90%. Find the price of the shirt in the department store.
Round your answer to the nearest cent, as necessary.

Answers

The price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is  $10.45.

What is the Wholesale price?

The cost price of a certain product plus the profit margin earned by the manufacturer equals the wholesale price.

Given:

The wholesale price for a shirt is $5.50,

The markup price  = 90%

Calculate the markup price as shown below,

The markup price  = 90% of $5.50

The markup price  = 90 / 100 × 5.50

The markup price  = $4.95

Calculate the price of the shirt as shown below,

The price of a shirt = The markup price  + The wholesale price of the shirt

The price of a shirt =  $5.50 + $4.95

The price of a shirt =  $10.45

Therefore, the price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is  $10.45.

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if opposite angles of a quadrilateral are supplementary then the quadrilateral is a parallelogram? true or false?

Answers

False. If opposite angles of a quadrilateral are supplementary then the quadrilateral is not a parallelogram.

What are supplementary angles?

Two angles are said to be supplementary angles if their sum is equal to 180 degrees.

What are the angle properties of a parallelogram?

In a parallelogram the sum of adjacent angles is equal to 180 degrees which means that the adjacent angles are supplementary. Whereas, the opposite angles in a parallelogram are congruent (equal). Hence, the statement is false.

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Draw a graph with at least 5 nodes and 15 edges.

Answers

It is possible to draw   graph with 5 nodes and 15 edges.

What are nodes and edges?

Nodes are points on graph in where curves, lines or scatters are met.

Edges are curves, lines or arcs presented on the graph connected by one or more nodes.

How to draw graph with nodes and edges?

So as to draw graph using nodes and edges, we have to follow a formula that allow us about how many nodes and edges can be used at a time.

If we have N nodes, then we have N-1 edges available connect directly to other nodes. Therefore, maximum number of edges available in such case for connecting directly or indirectly to the nodes is calculated by the formula below.

Maximum number of edges =N×(N-1), when we have N nodes.

in the question, we are said to draw graph with 5 nodes and 15 edges.

we have maximum number of edges = 5×(5-1) = 20 edges

hence, it is possible to draw graph with 5 nodes and 15 edges.

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Chris and Layla bought new fish for their home aquariums. Chris bought 4 guppies and 3 platys for a total of $25.80. Layla bought 4 guppies and 2 platys for a total of $22.92. Find the price of a guppy and the price of a platy.

Answers

Solving system of equations we get price of the guppy is  $4.29 and  platy is $ 2.88.

How to Find the price of a guppy and the price of a platy ?A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

Let

price of guppie  = x

price of platy = y.

Chris bought 4 guppies and 3 platys for a total of $25.80.

i. e.

4x + 3y = 25.80-----------1

Layla bought 4 guppies and 2 platys for a total of $22.92.

4x + 2y = 22.92-----------------2

equation  1 - 2

then we get

y = 2.88

put y = 2.88 in to equation 1

4x + 3 ( 2.88) = 25.80

then we get

X = 4.29

price of the guppy is  $4.29.

price of the platy is $ 2.88.

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what is the value of the estimated standard error for the following set of d-scores? scores: 2, 2, 10, 2. a) 3 b) square root 3 c) 4 D) 2

Answers

The value of the estimated standard error for the following set of D scores 2, 2, 10, 2 is 4 .

The standard error of a statistic is the standard deviation of the sample distribution, or a close approximation of that standard deviation. A statistic that is the sample mean is referred to as having a "standard error of the mean."

The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation. In statistics, a sample mean deviates from the actual mean of a population; this deviation is the standard error of the mean.

Consider the following set of D scores,

2, 2, 10, 2

We will calculate ∑D and ∑D² to find the SS for the D scores.

Therefore,

∑D = 2 + 2 + 10 + 2

We can sum or difference of the coefficients,

∑D = 4 + 10 + 2

∑D = 14 + 2

∑D = 16

Then,

∑D² = 2² + 2² + 10² + 2²

∑D² = 4 + 4 + 100 + 4

∑D² = 8 + 100 + 4

∑D² = 100 + 12

∑D² = 112

So,

The formula for the standard score is given as:

SS = ∑[tex]D^{2}[/tex] - (∑D*∑D) / n

SS = 112 - [ (16)² /4 ]

SS = 112 - [ 256 /4 ]

SS = 112 - 64

SS = 48

Then,

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{SS}{n-1} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{48}{4-1} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{48}{3} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{16}[/tex]

[tex]S_{D}[/tex] = 4

Therefore,

The value of the estimated standard error for the following set of D scores 2, 2, 10, 2 is 4 .

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The angle
θ
1
θ
1

theta, start subscript, 1, end subscript is located in Quadrant
II
IIstart text, I, I, end text, and
sin

(
θ
1
)
=
9
41
sin(θ
1

)=
41
9

sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 9, divided by, 41, end fraction .
What is the value of
cos

(
θ
1
)
cos(θ
1

)cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Express your answer exactly.
cos

(
θ
1
)
=
cos(θ
1

)=

Answers

The value of cosθ₁ is -40/41 when angle θ₁ is located in quadrant II and sinθ₁=9/41.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that angle θ₁ is located in quadrant II and sinθ₁=9/41.

We need to find the value of cosθ₁.

We know that sinθ is opposite side/hypotenuse .

opposite side=9 and hypotenuse is 41.

By pythagoras theorem we find the adjacent side.

41²=9²+x²

41²-9²=x²

1681-81=x²

Taking square root on both sides

x=40

So adjacent side is 40.

cosθ₁=Adj/hyp

=40/41

Since it is in second quadrant the value of cosθ₁ will be -40/41.

Hence, angle θ₁ is located in quadrant II and sinθ₁=9/41 then value of cosθ₁ is -40/41.

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The variable p varies inversely as the square of q. When p = 36, q = 25.
When p = 4, q=
When q = 10, p =

Answers

Answer:

p=4: q = 75q=10: p = 225

Step-by-step explanation:

You want to know various values of p and q when p varies inversely as the square of q, and p=36 when q=25.

Variation

A formula describing the variation of one variable with another will generally have a constant of variation, which we choose to represent here by the letter k.

Since p varies inversely as the square of q, the formula can be written as ...

  [tex]p=\dfrac{k}{q^2}[/tex]

Multiplying by q² gives us a way to find the value of k from known values of p and q:

  k = p·q²

  k = 36·25² = 22500 . . . . . . using the given values of p and q

We can also rearrange the formula to give q as a function of p:

  q = √(k/p)

Table of values

We are interested in q for p=4, and in p for q=10.

  q = √(22500/4) = 75

  p = 22500/10² = 225

When p=4, q = 75When q=10, p = 225

QUESTION 12/15 Which tools would you use to make Chart 1 look like Chart 2? Select all that apply.

Answers

The tool that is used to make Chart1 look like Chart2 is data lables .

What are Charts ?

Charts can be defined as graphical way that represents data elements.

the forms of charts are tables and graph .

From the attachment we can see that both the charts are circle graphs .

and the chart2's data label is visible and chart's 1 data label is not visible .

The data label of chart1 needs to be visible for both the chart to look alike .

Therefore , the tool that is used to make both the charts lookalike is data labels .

The given question is incomplete , the complete question is

Which tools would you use to make Chart 1 look like Chart 2 ?

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Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the index of summation. 1+41+4+9+16+25+36

Answers

The sigma notation is:

Σ (6 to k=1) k²

Given:

The summation symbol, S, tells us to add up the sequence's components. To the right of the summation sign is a typical component of the sequence that is being summed. An index that appears below the summation sign designates the variable of summation.

Typically, a sum of several terms is represented by the symbol "sigma." Typically, this symbol is accompanied by an index that changes to include all terms that must be taken into account while calculating the sum.

use 1 as the lower limit of summation and k for the index of summation. 1+41+4+9+16+25+36

⇒ 1+4+9+16+25+36

⇒ 1² + 2² + 3² + 4² + 5² + 6²

⇒ Σ (6 to k=1) k²

Hence we get the required answer.

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Which of the following is a polynomial ? (a) 1/x+1 (b) 1/√x+1 (c) 1/x²+x+1 (d) x³+1

Answers

Answer:

Before you get into classifying polynomials, let’s define what polynomials are!

Polynomials are a specific type of mathematical expression that has all of the following:

One or more terms

Variables with only positive whole-number exponents

No variables in the denominators of any term

So, let's discuss the questions:

A)1/x+1 is not a polynomial

B)1/√x+1 is not a polynomial

C)1/x²+x+1 is not a polynomial

D) x^3+1 is a polynomial bc it has positive whole number exponent, their no variables in the denominators and its more than 1 terms

Step-by-step explanation:

hope this helps <3

a grocery store is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts. a random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box. the sample results are given below. brand a brand b mean

Answers

Therefore ,Based on this sample, of 90% confidence interval that Hot'n Now doughnuts will remain fresher for an additional 1.1 to 2.4 days than Sugar Yum doughnuts.

What is  confidence interval ?

An estimation range for an unknowable parameter is referred to as a confidence interval in frequentist statistics. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals.

Here,

Given: random sample of 100 boxes of each brand

The difference of the means,μhn−μsy had a 90% confidence interval that was calculated as follows: (1.1,2.4).

Therefore,

Based on this sample, we are 90% confidence interval that Hot'n Now doughnuts will remain fresher for an additional 1.1 to 2.4 days than Sugar Yum doughnuts.

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Determine the Type II error if the null hypothesis, H0, is: researchers claim that 65% of college students will graduate with debt. Select the correct answer below:
a.The researchers cannot conclude that greater than or less than 65% of college students will graduate with debt when, in fact, 65% will graduate with debt.
b.The researchers cannot conclude that 65% of college students will graduate with debt when, in fact, more or less than 65% of college students will graduate with debt.
c.The researchers cannot conclude that 65% of college students will graduate with debt when, in fact, 65% of college students really will graduate with debt.
d.The researchers cannot conclude that greater than or less than 65% of college students will graduate with debt when, in fact, greater than or less than 65% of college students will graduate with debt.

Answers

Since type I error is to reject the null hypothesis when null is true that's why the Correct option is C.

The researchers believe that more than or less than 65% of college students will graduate with debt, when in fact, 65% will.

The null hypothesis is true if the experimental result matches the predicted theoretical result. The null hypothesis is disproved and we examine an alternative one if there are any variations in the observed parameters between the samples. The null hypothesis was rejected, which opens the door for additional study but does not imply that the first experimentation was flawed. Usually, the null hypothesis is used to gauge the strength of the evidence.

Hence we get the required answer and the correct option is c.

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The temperature cooled by 4° on the first day of the year together on the 1st 2 days of the year the temperature heated up 7°

Answers

The temperature on the second day is 11°.

How to calculate the temperature?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Temperature is a unit used to express hotness or coldness on any of a number of scales, including Fahrenheit and Celsius. The direction that heat energy will spontaneously flow depending on temperature.

Let the temperature on the second day be x.

Based on the information, temperature cooled by 4° on the first day of the year together on the 1st 2 days of the year the temperature heated up.

-4 + x = 7

Collect the like terms

x = 7 + 4..

x = 11

The temperature is 11°

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The temperature cooled by 4° on the first day of the year together on the 1st 2 days of the year the temperature heated up 7°. What is the Temperature on tue second day?

Bones from the skeleton of a fish have lost 22 percent of their carbon-14. Note that for carbon-14,the constant of proportionality is approximately k = 0.000124. Estimate the age of the bones: Round to the nearest tenth of ayear. Answer How to enter your answer Keypad years

Answers

The age of the bones from the skeleton of s fish is 2000 years.

The formula to be used for calculation of age is-

ln (N/No) = - kt, where N/No represents remaining time, k represents constant of proportionality and t refers to the age or time period.

The remaining time = 100 - 22

Remaining time = 78% or 0.78

Keep the values in mentioned formula to find the time.

ln 0.78 = - 0.000124t

Keeping the value of ln 0.78 on Left Hand Side of the equation

- 0.248 = - 0.000124t

Negative sign will be cancelled as it is present on both sides of the equation

t = 0.248/0.000124

Performing division on Right Hand Side of the equation

t = 2000

Hence, the age is around 2000 years.

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Skylar went shopping for a new video game. To find the total plus tax, she multiplied the price of the video game by 1.0775. What percent tax did she pay?

Answers

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Roberto's employer offers a sliding paid vacation. when he started work, he was given three paid days of vacation. For each six-month period he stays at the job, his vacation is increased by two days. Let x represent the number of 6-month periods worked and y represent the total number of paid vacation days. Write an equation that modes the relationship between these two variables.

Answers

Answer:

telecomunication of te following

2. The equation and the graph represent two functions. Use the equation
y 4 and the graph to answer the questions, Besson 5-7)
6 7 8 9 10 11 12
a. When x is 4, is the output of the equation or the graph greater?
b. What value for x produces the same output in both the graph and
the equation?

Answers

The equation y = 4 has a greater output at x = 4

The graph and the equation have the same output at x = 6

The greater output at x = 4

From the question, we have

The linear graph The equation y = 4

From the graph, we can see that

When x = 4, the output is 3

The equation y = 4 implies that, the output is always 4 irrespective of the input value

Hence, the equation has a greater output.

The value of x for same output

Here, we have the same parameters above

From the graph, we can see that

When y = 4, the input is 6

The equation y = 4 implies that, the output is always 4 irrespective of the input value

Hence, they have the same output at x = 6

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Two mobile phone companies have different data rates. Company A has a rate of
$100 for unlimited data, and Company B has a flat fee of $20 plus $5 per gigabyte of data. The point of intersection between these two linear relations is (16, 100).

What does this point of intersection represent?

a) Both phone companies would charge $16 per gigabyte used with a bill of $100.

b) Both phone companies would charge $100 if the customer used 16 gigabytes of data.

c) Both companies would charge $100 with a flat fee of $16.

d) Both companies would charge $16 per gigabyte if the customer used 100 gigabytes.

Answers

Answer:  Choice B

Explanation:

x = number of gigabytes of data used

y = total price

Company A has the equation y = 100. The x variable is not involved since the cost is $100 no matter what.

Meanwhile, company B has the equation y = 5x+20

The slope of 5 indicates how much per gigabyte is charged. The 20 at the end is the flat fee, aka y intercept.

If we were to graph those equations, then we'd find they intersect at (16,100) as mentioned.

This means x = 16 and y = 100 pair up together.

It further tells us that both companies charge the same ($100) when x = 16 gigabytes of data are used.

This points us to choice B as the final answer.

suppose you calculate a 95% confidence interval for a proportion to to be: 0.17 to 0.97. determine the margin of error

Answers

The margin of error with a confidence interval of 0.17 to 0.97 is 0.4.

An indicator of the extent of random sampling error in survey results is the margin of error. In other words, the percentage point difference between the results and the actual population value is indicated by the margin of error. The confidence interval form is given by Confidence Interval = [lower confidence interval limit, upper confidence interval limit]. The confidence interval's total width divided by two is the margin of error.

Here, 95% confidence interval = [0.17, 0.97]. Then, the margin of error is,

[tex]\begin{aligned}\text{Margin of error (E)}&=\frac{\text{(upper confidence interval limit-lower confidence interval limit)}}{2}\\&=\frac{0.97-0.17}{2}\\&=\frac{0.8}{2}\\&=0.4\end{aligned}[/tex]

The answer is 0.4.

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on the 9th of february 2012, the heights of the water in the bristol channel in cardiff, uk were as follows. low tide was 1.2 m at 2:00 am and high tide was 12.4 m at 7:56 am. assuming sinusoid periodicity, estimate the height of the water at sunset (5:16 pm on that day). give your answer as a decimal (in metres) rounded to 1 decimal place.

Answers

It should be close to 7m at around 5pm. In fact, this is the time of day when the water rises the fastest, so perhaps 8m

What is the period of the sinusoidal signal?

The interval between successive peaks in the sinusoidal signal graph, or period, is only the number of seconds needed for one cycle of the sinusoid.

Are all sinusoidal sequences periodic?

Depending on the values of angular frequency (), discrete-time sinusoidal sequences may or may not be periodic. A discrete-time sinusoidal signal must have an angular frequency () that is a multiple of 2 to be considered periodic.

It takes roughly 6 hours from low tide to high tide, or 12 hours for the entire tide cycle. Since low tide was at 2 a.m., low tide will be at around 2 p.m. as well. Three hours later, or at around 5 p.m., the water should be at the average level, which should be at (12.4+1.2)/2=6.8 m. Therefore, it should be close to 7m around 5:45. Actually, this is when the water rises the fastest, so it's probably close to 8m. Your 5.5m is obviously too low, regardless of where it is.

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Vinnie's Mini-Golf hosts children's birthday parties. Parents can reserve the party room for kids to eat pizza and cake after playing golf. The total price for a party with c children is 8.5c + 35 dollars. Mrs. Kim scheduled her son's party for 8 children.

What price will Mrs. Kim pay for her son's party?

Answers

Mrs Kim will pay 103 dollars for her son's party.

What is a substitution method?

The algebraic approach to solving simultaneous linear equations is known as the substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

Given, the total price for the party with c children = 8.5c + 35 dollars

For 8 children, c = 8 then,

Total price = 8.5*8 + 35 = 103 dollars

Hence, Mrs Kim will pay 103 dollars for her son's party.

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1600 people had visited his website by 13:30.
A total of 15,000 people had visited his website by 19:45.
Calculate the number of visits per hour that Jack's website received
between 13:30 and 19:45.

Answers

Answer:

2,144

Step-by-step explanation:

[tex]\frac{15000 - 1600}{6.25}[/tex]  The number of visitors during the time period divided by the total hours.  

2,144

Can a triangle have sides with the given lengths? 11, 12, 15

Answers

Yes because yessssss
I think it 11 or maybe 15

Mr. Freeze is a freelance ice artist who creates ice sculptures. He is paid $30 per pound of ice he uses. Last week it took him 73 hours to sculpt 5 sculptures weighing a total of 530 pounds. Based on this, what is his approximate hourly wage?

Answers

Answer:

$217.81/hr

Step-by-step explanation:

The 5 sculptures contain 530 lbs of ice, which Nr. Freeze sells at $30/lb:

His total income is:  (530 lbs)*($30/lb) = $1590

The sculptures required 73 hours to create.  Mr Freeze's hourly wage is therefore ($1590/73 hr) = $217.81/hr (!)

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