Find the savings plan balance after 18 months with an apr of 6% and monthly payments of $800. assume an ordinary annuity. a. $15,028.63 c. $15, 360.28 b. $15,280.36 d. $15, 306.82

Comparing the value of 1 lbs of the candy we observe that, store A sells the candy at a much cheaper price and hence it has the better buy.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Given the number of candies the store sells for a given amount:

Store A:

2 1/4 lbs candy = $13.50

1 lbs candy = x

[tex]x = \frac{13.50}{\frac{9}{4} } \\\\x = \frac{(13.50)(4)}{9}\\ \\x=6[/tex]

Hence, store A sells 1 lbs of candy for $6.

Store B:

1 1/2 lbs candy = $15.75

1 lbs candy = y

[tex]y = \frac{15.75}{\frac{3}{2} } \\\\y = \frac{(15.75)(2)}{3}\\ \\y = 10.5[/tex]

Store B sells 1 lbs of candy for $ 10,5.

Comparing the value of 1 lbs of the candy we observe that, store A sells the candy at a much cheaper price and hence it has the best buy.

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Answer:

D. x-7

Step-by-step explanation:

less than means subtract so julians height would be x-7

you got this <3

Answer

X-7

Step-by-step explanation:

X is a unknown variable which is her sisters hight.

We do not know Julian’s sisters hight so that is X

Julian sister=x

Julian is 7 inches shorter than his sister so that is the same as -7

So to find his hight do x-7.

Answer:

To answer this question, we need to use the properties of a normal distribution. So, the answer is b. 10,200

Step-by-step explanation:

The mean and standard deviation serve as the defining characteristics of a normal distribution, a form of probability distribution. The average tire lifespan in this situation is 50,000 miles, with a standard variation of 5,000 miles.

The number of tires that should last between 45,000 and 55,000 miles, or the region under the normal distribution curve between these two figures, is what we're looking for. The conventional normal table or a calculator using the inverse cumulative probability function can be used to find this region.

We can standardize the values by using the standard normal table, which is (X-mean)/standard deviation.

(45,000-50,000) / 5,000 = -1

(55,000-50,000) / 5,000 = 1

The area between -1 and 1 standard deviation from the mean is about 0.6826, which is the proportion of the tires that are expected to last between 45,000 and 55,000 miles.

To find the number of tires, we can multiply the proportion by the sample size (15,000)

0.6826 * 15,000 = 10,200

So, the answer is b. 10,200

The degree of measure of the angle ACP is 31.5°

The term angle in math is defined as the figure that is formed when two rays are joined together at a common point.

Here we have given that the total area of the given diagram is the sum of two semicircles with arc AB and arc CB having radius R and r respectively

Then it can be written as

=> R = AC

And the value of r = DB

Then the value of R is written as

=> R = 2 × r

So here we know that the area of the semicircles are given as follows

Here we have to write the semicircle with arc AB is written as

=> A₁ = π × R²/2 =

=> A₁ = π × (2×r)²/2

Then the value of A₁ is 2πr²

Similarly for the semicircle with arc CB is calculated as,

=> A₂ = π × r²/2

=> A₂ = 1/2πr²

Therefore, the degree of angle is 31.5°

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Since the remaining distance is negative, it implies that Sam has already exceeded his goal distance. Therefore, he doesn't need to walk any further to reach his goal.

To find the remaining distance that Sam needs to walk to reach his goal of (3)1/2 miles, we need to subtract the distance he has already walked from his goal distance.

Sam walks (1)1/8 miles before lunch and 3/4 miles after resting. To calculate the total distance he has walked, we add these two distances:

Total distance walked = (1)1/8 + 3/4

To add these fractions, we need to find a common denominator, which is 8 in this case

Total distance walked = (9/8) + (6/8)

= 15/8

= 1 (7/8)

Now, we subtract the total distance walked from Sam's goal distance:

Remaining distance = (3)1/2 - 1 (7/8)

To subtract fractions, we also need a common denominator. The common denominator is 2 in this case:

Remaining distance = (6/2 + 1/2) - (15/8)

= (12/8 + 1/8) - (15/8)

= 13/8 - 15/8

= -2/8

= -1/4

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DNA is a double-stranded molecule that runs in an antiparallel direction, with the ratio of adenine to guanine equal to the ratio of cytosine to thymine.

1. Identify the given information in the problem: (A + G)/(C + T) = 1.0, (A + T)/(C + G) = 1.0

2. Calculate the ratio of adenine to guanine: A/(G + T) = 1.0

3. Calculate the ratio of cytosine to thymine: C/(A + G) = 1.

4. Calculate the ratio of adenine to thymine: A/(C + G) = 1.0

5. Calculate the ratio of guanine to thymine: G/(A + C) = 1.0

6. Use the ratios to determine that the DNA is double-stranded and runs in an antiparallel direction with the ratio of adenine to guanine equal to the ratio of cytosine to thymine. Antiparallel, double-stranded,

(A + G)/(C + T) = 1.0, and (A + T)/(C + G) = 1.0

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Answer:

  1a.  x = 0.08; y = 0.03; z = 0.17

  1b.  P(B) = 0.25

Step-by-step explanation:

Given a Venn diagram with some numbers filled in, you want to find the missing numbers given that the probability of at least one is 0.92, and of exactly one is 0.70.

The missing values are found by understanding the given information and what that means in relation to the diagram.

The total area enclosed by the circles is the probability of "at least one." The total probability represented by the entire diagram is 1, so that means ...

  x = 1 - 0.92 = 0.08 . . . . . . . area not in any circle

It also means that ...

  0.26 +0.05 +y +z +0.41 = 0.92 . . . . . . . area enclosed by circles

  y + z = 0.20 . . . . . . . . . . . . . . . . . subtract 0.72

The probability of exactly one is the sum of areas inside exactly one circle:

  0.26 +y +0.41 = 0.70

  y = 0.03

Using this with the above equation in y and z, we find ...

  z = 0.20 -y = 0.17

The area inside circle B is ...

  0.05 +y +z = 0.05 +0.20 = 0.25

The probability a contributor sponsors Bandicoots Unbanned is 0.25.

(ii) 2.5 cm, 3.5 cm, 6.0 cm and (iii) 2.5 cm, 4.2 cm, 8 cm cannot be the sides of a triangle.

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

(i) 4.5 cm, 3.5 cm, 6.4 cm

4.5 + 3.5 = 8 > 6.4

4.5 + 6.4 =10.9 > 3.5

3.5 + 6.4 = 9.9 > 4.5

so these lengths can form a triangle.

(ii) 2.5 cm, 3.5 cm, 6.0 cm

2.5 + 3.5 = 6.0 = 6.0

2.5 + 6.0 = 8.5 > 3.5

3.5 + 6.0 = 9.5 > 2.5

so these lengths cannot form a triangle.

(iii) 2.5 cm, 4.2 cm, 8 cm:

2.5 + 4.2 = 6.7 < 8

2.5 + 8 = 10.5 > 4.2

4.2 + 8 = 12.2 > 2.5

so these lengths cannot form a triangle.

Therefore, (ii) and (iii) cannot be the sides of a triangle.

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The common difference is 4. To find it, you subtract the first two terms (5 and 9) to get 4. You can then use this answer to find the common difference in the sequence by subtracting each consecutive term. For example, 9-5=4, then 13-9=4, and so on.

The common difference is an important part of any arithmetic sequence. It is the number that is added to each term in the sequence to generate the next term. For example, the first two terms of the sequence are 5 and 9. The common difference of 4 is added to the first term (5) to get the second term (9). The common difference is then added to the second term (9) to get the third term (13), and so on. This is how the sequence is generated.  

The common difference is an important tool for analyzing the behavior of an arithmetic sequence. Knowing a common difference allows you to determine the nth term of the sequence, as well as the sum of the first n terms. It also helps you to identify patterns in the sequence and make predictions about future terms. Knowing a common difference is an essential part of analyzing arithmetic sequences.

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the percentage of information remembered at the moment it is first learned is 100%.

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity). The concept of a function was formalized at the end of the 19th century in terms of set theory, and this greatly enlarged the domains of application of the concept.

Your question is incomplete but most probably your full question was:

In college, we study large volumes of information - information that, unfortunately, we do not often retain for very long. The function f(x) = 80e-0.5x + 20

describes the percentage of Q. information, p, that a particular person remembers x weeks after learning the information. Substitute 0 for x and find the percentage of information remembered at the moment it is first learned.

a 100%

b 95%

c 90%

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Answer:

234565432344343

Answer:

0,277777777777777777

By applying the Least Common Multiple theory, it can be concluded that Philip has to buy 2 packs of pencils and 3 packs of erasers.

Least Common Multiple (LCM) of two or more numbers is the smallest positive integer that could be divided by those numbers.

The simplest way to find the LCM of two or more numbers is to list the multiples of each number.

Then, check the smallest multiple that appears in all of the multiple lists. This value is the LCM of those numbers.

From the question, we know that Philip wants to have the same number of pencils as erasers. Whilst they come in different packages. To do so, firstly we list the multiples of each package.

Pencil: 18 : 18, 36, 54, 72, 90, ...

Eraser: 12 : 12, 24, 36, 48, 60, ...

Now we check the smallest multiple that appears in all of the multiple lists, the LCM is 36.

36 pencils means 36 : 18 = 2 packs of pencils

36 erasers means 36 : 12 = 3 packs of erasers

Thus, Philip has to buy 2 packs of pencils and 3 packs of erasers

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The typical definition of the melting point is the temperature at which a substance transforms from a solid to a liquid.

What do you mean by melting point?

melting point, temperature at which the solid and liquid forms of a pure substance can exist in equilibrium. As heat is applied to a solid, its temperature will increase until the melting point is reached.

The melting point of a liquid is the temperature at which the liquid transforms from a solid to a liquid under atmospheric pressure. This is the location where the liquid and solid phases are equally present. The substance's melting point varies with pressure as well and is reported at standard pressure.

As the melting point is 0 °C.

So, it melts at 2 C. It can melt from 0 °C – 2 °C to 0 °C + 2 °C.

Range = [-2, 2] in °C.

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Thus, the solution of equation problem is  they need to be rewarded a minimal of 26 more times than usual to be able to enjoy a party.

A formula requires the equals sign (=). Because there is a scalar value on either part of an equation, you should think of it as either a left variable but a right side. As a set of scales, think of an equation. For it to be resolved, each side should be equally balanced, even though you can use various amounts on each side. In an algebraic equation, an unknown will be always present. Symbols like x, y, etc z are used to represent this.

Given:

Mrs. Morton places three marbles in a marble jar to give as a reward to her pupils for good conduct.

if the container holds 24 marbles. The essential equation is 24 + 3r 100 when r stands for how many extra awards there are for the class.

We'll get the bare minimum of marbles the jar can contain, which is 24 if we can figure it out.

Take 24 away from each side to find the answer to the puzzle.

=> 3r ≥100 -24

=> 76≤3r

=>76/3 ≤ r

=> r ≥ 25.33

=> r≈ 26

So they need to be rewarded at least an additional 26 times before they may enjoy a party.

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The value of x (hypotenuse) by using trigonometry is 2√5.

What is trigonometry ?

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

The area of mathematics known as trigonometry examines the link between the ratios of a right-angled triangle's sides to its angles. Trigonometric ratios, such as sine, cosine, tangent, cotangent, secant, and cosecant, are employed to analyze this connection.

The measurement of angles and issues relating to angles are covered in the fundamentals of trigonometry. Trigonometry has three fundamental operations: sine, cosine, and tangent. The cotangent, secant, and cosecant are three crucial trigonometric functions that may be derived from these three fundamental ratios or functions. These functions serve as the foundation for all the key ideas in trigonometry.

In the triangle height = √15  and hypotenuse as x

The value of the angle is  60°

by using trigonomtry we can write

sin60° = height/ hypotenuse

√3/2 = √15/ x

x = (√15 * 2)/√3

x = 2√5

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The probability that a randomly selected customer likes hot or iced coffee is 0.83.

What is probability?

To find the probability that a randomly selected customer likes hot or iced coffee, we need to add the probability of liking hot coffee and the probability of liking iced coffee, while subtracting the probability of liking both (since we don't want to count those customers twice).

So, P(H or I) = P(H) + P(I) - P(H and I)

We are given that P(H) = 0.75, P(I) = 0.30, and P(H and I) = 0.22 (from the venn diagram).

Therefore, P(H or I) = 0.75 + 0.30 - 0.22 = 0.83

So the probability that a randomly selected customer likes hot or iced coffee is 0.83.

Therefore, the answer is 0.83.

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Complete question is: according to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. the venn diagram displays the coffee preferences of the customers. a venn diagram titled coffee preferences. one circle is labeled h, 0.53, the other circle is labeled i, 0.08, the shared area is labeled 0.22, and the outside area is labeled 0.17. a randomly selected customer is asked if they like hot or iced coffee. let h be the event that the customer likes hot coffee and let i be the event that the customer likes iced coffee. the probability that a randomly selected customer likes hot or iced coffee is 0.83.

The point of maximum curvature of the curve y = 9 ln(x) occurs when the second derivative of the curve is equal to zero, which is when x = e. At this point, the curvature of the curve is equal to k(x) = 9/e^2.

Infinity is a concept used to describe something that is limitless or without end. It is typically used to describe a quantity, such as an infinite number of objects or an infinite amount of time. It is also used to describe the concept of something that is boundless or has no boundaries. Infinity is an abstract concept and is not considered a number or a measurement.

As x rightarrow infinity, the value of k(x) approaches zero, because the second derivative of the curve approaches zero. Therefore, k(x) approaches zero as x rightarrow infinity.

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Step-by-step explanation:

[tex]\tt 33-5(x-4)=3[/tex]

[tex]\tt 33-5x+20=3[/tex]

[tex]\tt 53-5x=3[/tex]

[tex]\tt -5x=3-53[/tex]

[tex]\tt 5x=50[/tex]

[tex]\tt x=10[/tex]

I hope it's helpful

if you used the same experimental design, but instead used an endotherm, you would expect to see a difference in the organism's ability to regulate its body temperature

If the same experimental design was used but with an endotherm (an organism that generates heat internally) instead of an ectotherm (an organism that relies on external sources of heat), I would expect to see a difference in the organism's ability to regulate its body temperature. Endotherms have a higher metabolic rate and are able to generate heat internally, whereas ectotherms rely on external sources of heat to regulate their body temperature. This means that endotherms would be less affected by changes in external temperature and would be able to maintain a more stable body temperature. Additionally, endotherms would likely have a higher tolerance for cold temperatures. I came to this conclusion because endotherms have internal heat regulation mechanisms that allow them to maintain a stable body temperature, whereas ectotherms do not.

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Answer:

A. We can write a function to represent the cost of each quote using the information provided.

For Decks and More:

C(h) = 1800 + 70h

Where C is the cost and h is the number of hours of labor.

For Just Decks:

C(h) = 2000 + 50h

Where C is the cost and h is the number of hours of labor.

B. To determine which company Aaron should use, we need to substitute the estimated number of hours into the functions for both companies and compare the total costs.

For Decks and More:

C(18) = 1800 + 70(18) = 1800 + 1260 = 3060

For Just Decks:

C(18) = 2000 + 50(18) = 2000 + 900 = 2900

Since Just Decks quote is cheaper, Aaron should use Just Decks.

There is a 1/2 probability that both spinners will produce an odd number.

The probability is equal to the variety of possible outcomes.

The total number of outcomes that could occur.

For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.

So, assume that:

Both the spinners have 1 positive number and 1 odd number.

Probability formula:

P(E) = Favourable events/Total events

Now, calculate as follows:

P(E) = Favourable events/Total events

P(E) = 2/4

P(E) = 1/2

Therefore, there is a 1/2 probability that both spinners will produce an odd number.

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Therefore , the solution of the given problem of the perimeter of given figure is  18 + √34 cm or  18 + 5.83 = 23.83 cm

In geometry, a shape's perimeter is referred as the entire length of its boundary. The perimeter of a form is created by adding the dimensions of all of its edges and the edges that surround it. Utilizing linear distance measures like centimeters, meters, inches, or feet, it is calculated.

Given:

5 + 8 + 5 + x  = 18 +x

=> To find the value of x ,

We use pythagoras theorem :

thus,

=> 5² + 3² = x²

=>   x² = 34

=> x = √34

The perimeter of given figure is  18 + √34 cm or  18 + 5.83 = 23.83 cm

Therefore , the solution of the given problem of the perimeter of given figure is  18 + √34 cm or  18 + 5.83 = 23.83 cm

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The quotient when 21x^3-42x² + 3x is divided by 3x is 7x^2 - 14x + 3.

When we divide a number, the result we ultimately get is the quotient. Division is a mathematical operation that involves dividing items into equal groups. It is represented by the symbol (÷). For instance, three groups of 15 balls each need to be equally divided. Therefore, the division formula is 15 3 = 5 when we divide the balls into three equal groups. Here, the quotient is 5, so. This implies that there will be 5 balls in each group.

The given expression is:

21x^3 - 42x^2 + 3x

Divide the equation by 3x:

21x^3 - 42x^2 + 3x / 3x

Divide each term with 3x.

Using the rule of exponents we have a^n/ a^m = a^(n-m):

7x^2 - 14x + 3

Hence the quotient when 21x^3-42x² + 3x is divided by 3x is 7x^2 - 14x + 3.

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The value of (m+n) is 634.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty.

The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To get the multiples of [tex]10^{99}[/tex]

we need to take [tex]{(2)^{88}.........(2)^{99}}[/tex] and [tex]{(5)^{88}.........(5)^{99}}[/tex]

there are 12*12= 144

Probability = 14/(100)² = 144/10000 = 9/625

Thus, m = 9 and n = 626

Hence, m+n = 9+625 =634

Therefore, The value of (m+n) is 634.

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Answer: SAS

Step-by-step explanation:

Henry's trumpet which is made of an alloy brass contains 9.6 ounces of zinc.

Brass is an alloy created using 80% copper and 20% zinc, which means that for every 100% of the alloy, 80% is copper and 20% is zinc.

If henry's trumpet contains 48 ounces of copper, we can use the proportion of copper and zinc in the alloy to find the number of ounces of zinc.

First, we can convert the percentage of zinc to a decimal by dividing by 100: 20% = 0.20

Next, we can set up an equation using the proportion of zinc in the alloy to the number of ounces of zinc in the trumpet:

0.20 = x/48 ounces of zinc

To solve for x, we can multiply both sides of the equation by 48:

0.20 * 48 = x

x = 9.6 ounces of zinc

So, Henry's trumpet contains 9.6 ounces of zinc.

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The value of the expression 3.10(9 + 1)²2 is 620.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

An expression,

3.10(9 + 1)²2.

Solving the expression by the help of PEMDAS,

First, we solve the parenthesis,

3.10(10)²2

= 3.10 x 100 x 2

Now, applying multiplication,

3.10 x 100 x 2,

= 620

Therefore, the value is 620.

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Given that each additional call will cost Rs. 1,

The total cost of the additional calls is Rs. 1332 calls.

Given that there is a charge for up to 175 calls, Rs 200.

And each subsequent call will cost Rs 1.

Additionally, there are 13% VAT and 10% TSC.

Taxes total 10 + 13 = 23 %.

And the full amount owed is Rs 1988.8.

Finding the monthly total of additional calls is necessary.

Therefore, the amount before tax would be

1998.8 -14% of 1988.8

- 1988.8 - 1988.8 x 14/100

=1988.8 - 457.424

=1531.376.

Additionally, the minimum telephone fee is Rs 200.

After the minimum charge, the amount is 1531.376-200.

Rs 1331.376

Given that each additional call will cost Rs. 1,

The total cost of the additional calls is Rs.

1 = 1331.376/Rs = 1332 calls.

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