You invest $1000
in an account at 2.5% per year simple interest. How much
will you have in the account at the beginning of the 4th year? Round your
answer to the nearest whole dollar.
A. $1075
B. $1163
C. $3250
• D. $1088

Answers

Answer 1

i dont speak English 3456


Related Questions

Bob has decided to make his move to his new house easier, so he is going to rent a truck to get it all moved in one trip. He is looking at two truck rental companies. U-Haul rents a 32 ft truck for $19.95 plus 49 cents per mile driven. The formula to calculate the cost with U-Haul is C = 19.95 + 0.49x, where x represents the number of miles driven. Penske rents a truck for 69 cents per mile but has no extra fees. The formula to calculate costs for Penske is C = 0.69x, where x represents miles driven. How many miles indicate that the cost of renting a truck from U-Haul is equal to the cost of renting a truck from Penske?

Answers

equation for U haul is C = 19.95+ 0.49x
equation for Penske is C = 0.69x a)
cost of renting is equal equatin is
19.95 + 0.49x = 0.69x
b) solving the equation 19.95 + 0.49x = 0.69x
19.95 = 0.69x - 0.49x x=99.75
x=99.75
c) inequality is
19.95 + 0.49x > 0.69x
d) solving the inequality 19.95 > 0.2xx < 99.75
x<99.75
e)
U haul can be used if the miles driven is less than
99.75 miles
then it will be less expensive

What’s the slope of this graph? Can y’all guys help please ! Thank y’all

Answers

Answer:

-3

Step-by-step explanation:

/= negative slope; \= positive slope

The y-intercept is 2 because this is where it crosses the y-axis

Then you find the next point that touches the graph on an exact point which is (-2,-4)

So, your points are (0,2) and (-2,-4) then you do the slope formula of y2-y1 divided by x2-x1

-4-2/-2-0 = 3 and because the line is / then it is -3

A major airline is planning to purchase new airplanes. It wants to borrow $800 million by
issuing bonds. The bonds are for a 10-year period with simple interest computed quarterly at
a rate of 2 percent per quarter. Interest is to be paid each quarter to bondholders.
How much (in millions) will the airline have to pay in quarterly interest? $
million
How much interest (in millions) will it pay over the 10-year period? $ million

Answers

Answer:

look at the picture

Step-by-step explanation:

look at the picture

GUYS HELP NOW PLS WHAT IS THE PROBABILITY NOTATION FOR THE PROBABILITY OF CHOOSING A GREEN MARBLE HELPPPP PLS

Answers

The probability notation for the probability of choosing a green marble is P(G)

What is probability?

This is simply defined as the extent to which something is likely to occur.

The probability that an event will occur is given as the ratio of the number of favorable outcomes to the total number of outcomes.

How to determine the probability notation

Probability notation is a symbol used in indicating the probability of an occurring event. Since our focus is on the probability of obtaining a green marble, then the probability notation will be P(G). This is illustrated below:

Event of green marble = nGTotal event = nTProbability of green marble = P(G)

P(G) = nG / nT

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An investor decides to invest some cash in an account paying 13% annual interest, and to put the rest in a stock fund that ends up earning 7% over the course of a year. The investor puts $1300 more in the first account than in the stock fund, and at the end of the year finds the total interest from the two investments was $1270. How much money was invested at each of the two rates? Round to the nearest integer.

Answers

A percentage is a way to describe a part of a whole. The investment that was put in the account is 6805, while the amount that is invested in the stock is 5505.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Le the amount that is put into the account is x, while the amount that is invested in the stock market is y. Given the investor puts $1300 more in the first account than in the stock fund, therefore, the equation can be written as,

x - y =1300

x = 1300 + y

Also,  at the end of the year the total interest from the two investments was $1270. Therefore, we can write,

0.13x + 0.07y = 1270

Substitute the value of x from the above,

0.13(1300 + y) + 0.07y = 1270

169 + 0.13y + 0.07y = 1270

0.20y = 1101

y = 5505

substitute the value of y in the first equation,

x - y = 1300

x = 6805

Hence, the investment that was put in the account is 6805, while the amount that is invested in the stock is 5505.

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Question 4 of 5
Select the correct answer.
Which statement is true about the graph of the given function?
O
f(x) = (x - 2)³
The graph touches the x-axis at x = -2 but does not cross it.
The graph crosses the x-axis at x = 2.
The graph touches the x-axis at x = 2 but does not cross it.
The graph crosses the x-axis at x = -2.
Submit

Answers

Answer: The graph crosses the x-axis at x = 2.

Step-by-step explanation:

The root has a multiplicity of 3, meaning that it crosses the x axis at x=2.

How many square decimeters are in 687.1 cm²?​

Answers

Answer:

6.871 decimeters

Step-by-step explanation:

687.1 square centimeters = 6.871 square decimeters

1 dm² = 100 cm²

Answer:

6.871

Step-by-step explanation:

calculator

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C? Diagram shows a line segment with endpoints A(2, minus 6) and B(10, 2). Point D lies on this line segment. A dashed segment extends up from point A until point C and then extends horizontally to right until point D, forming a right triangle. A. (2, -1) B. (2, -3) C. (5, -3) D. (7, -1) Reset Next

Answers

The coordinates of point C that forms the triangle is; (2, -1)

How to partition a line segment?

We are told that point D divides line segment AB in the ratio of 5:3.

The line segment division formula is;

(x, y) = (m₁x₂ + m₂x₁)/(m₁ + m₂), (m₁y₂ + m₂y₁)/(m₁ + m₂)

For this question;

x₁ = 2; y₁ = -6; x₂ = 10; y₂ = 2; m₁ = 5; m₂ = 3

Thus, (x, y) gives us;

(5*10 + 3*2)/(5 + 3), (5*2 + 3*-6)/(5 + 3)

D(x, y) = (7, -1)

Now, we need to find the coordinates of C

We will use coordinate system which means the coordinate of x will be the as x coordinate of A since, AC is vertical line

And coordinate of y will be same as y in D since CD is horizontal line. Thus, coordinate of C is; C(2,-1).

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A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval


The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The exponential function decays at three-fourths the rate of the quadratic function.

Answers

The exponential function decays at three-fourths the rate of the quadratic function.

The given inequality is -2≤x≤0.

We need to determine how do the decay rates of the functions compare over the interval.

What is the quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree.

We calculate the average slope of each graph in the indicated interval, the slope can be calculated as [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Now, for the exponential function:

[tex]m_{c} =\frac{4-1}{-2-0} =\frac{3}{-2}[/tex]

For the quadratic function:

[tex]m_{q} =\frac{4-0}{-2-0} =\frac{4}{-2}=-2[/tex]

Now, the ratio of both average slopes is[tex]\frac{m_{c} }{m_{q}} =\frac{\frac{3}{-2} }{-2} =\frac{3}{4}[/tex].

Therefore, the exponential function decays at three-fourths the rate of the quadratic function.

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How can the next term in the infinite sequence 1, 5, 12, 22, 35, be generated? O Square the term number, subtract the term number from the result, multiply by 3, and divide the result by 2. O Square the term number, multiply the result by 3, divide by 2, and subtract the term number from the result. O Square the term number, divide the result by 2, subtract the term number, and multiply the result by 3. O Square the term number, multiply the result by 3, subtract the term number, and divide the result by 2.

Answers

Check the forward differences of the sequence.

• first-order differences

5 - 1 = 4

12 - 5 = 7

22 - 12 = 10

35 - 22 = 13

• second-order differences (i.e. differences of the first differences)

7 - 4 = 3

10 - 7 = 3

13 - 10 = 3

The second differences are all 3 (as far as we know), so the sequence of first differences is arithmetic/linear, which means the original sequence is quadratic. Let the [tex]n[/tex]-th term be

[tex]x_n = an^2 + bn + c[/tex]

Given that [tex]x_1=1[/tex], [tex]x_2=5[/tex], and [tex]x_3=12[/tex], we have

[tex]\begin{cases} a + b + c = 1 \\ 4a + 2b + c = 5 \\ 9a + 3b + c = 12 \end{cases} \implies a=\dfrac32, b=-\dfrac12, c=0[/tex]

and so the [tex]n[/tex]-th term of the sequence is generated by the rule

[tex]x_n = \dfrac{3n^2 - n}2[/tex]

which most closely resembles the last option,

Square the term number, multiply the result by 3, subtract the term number, and divide the result by 2.

RQ=5x+1 and QT =3x+15. Find QT.

Answers

The length QT is 36 units

How to determine the length QT?

The attached image represents the missing information in the question

From the image, we have:

RQ =QT

Substitute known values

5x + 1 = 3x + 15

Evaluate the like terms

2x = 14

Divide by 2

x = 7

Substitute x = 7 in QT = 3x + 15

QT = 3 * 7 + 15

Evaluate

QT = 36

Hence, the length QT is 36 units

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Which of the following values are in the domain of the function graphed
below? Check all that apply.

Answers

Answer:

A. -2B. -1D. 0E. 4

Step-by-step explanation:

The domain includes all x values, and here, it is [-2, 4].

Use Modus Ponens to deduce the conclusion from each of the following pairs of premises:
a = b ∧ b = c
(a = b ∧ b = c) ⇒ a = c

Answers

The conclusion is a=c statement

A modus ponens argument has the same structure as a syllogism, with two premises and a conclusion:

If P, then Q.

P occurs.

Consequently, Q occurs.

The Modus Ponens rule of inference or rule of logic requires a single premise and its logical consequences. A conditional statement states that if event 1 occurs, event 2 will also occur and that event 2 will be inferred as the outcome if event 1 occurs. For instance, if A implies B and A is assumed to be true, then it follows that B must also be true according to the Modus Ponens rule.

Hence, By modus Ponens

a=b∧b=c ⇒ a=c

So, given a=b∧b=c Then

⇒a=c.

Hence the conclusion is a=c statement .

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Rewrite the following expression
X 9/7

Answers

Answer:

X1 2/7

Step-by-step explanation:

Step-by-step explanation:

We can write it in radical form, and the denominator of the exponent became the power of the radical. That is

And

We can also write it as

And that's the simplified form of the given exponential form .

Please help! Will give the brainliest :)

Answers

Answer:

First figure out the angle measure of CBA and DBE to find out what Angle measure of ABE is.

Angle CBA and DBE are vertical angles, meaning they are congruent.

so set the equation as:

(2x+21)=(5x)

21=5x-2x

21=3x

x=7

It doesn't matter in which angle you plug 7 you get the same angle measure, so : 5x=5(7)=35 degrees

So to find angle measure of ABE:

We know that ABE and DBE form linear pair, so

180-35=145 degrees

145 degrees is the answer.

Hope it helps!

Answer:

∠ABE = 145°

Step-by-step explanation:

because angle CBA and ABE form a straight line, we know that they must add together to 180 degrees

and because DBE and ABE also form a straight line/angle, they must add together to 180 degrees

we can set this up as a system of equations (I will be writing ABE as "y")

2x + 21 + y = 180

5x + y = 180

We can combine this to beL

2x + 21 + y = 5x + y

 - 2x              -2x

21 + y = 3x + y

   - y       - y

21 = 3x

x = 7

If we plug this back into our original equations (which is set to 180 degrees), we can find y

2(7) + 21 + y = 180

14 + 21 + y = 180

35 + y = 180

- 35       - 35                  

y = 145

(remember, "y" is angle ABE)

we can check this value (ABE = 145) by substituting our second equation

5(x) + ABE = 180

35 + 145 = 180

       180 = 180

(TRUE)

so, the measure of ∠ ABE is 145°

hope this helps!!

Can y’all help me with ! I need correct anwsers ! Please

Answers

Answer:

-0.875

Step-by-step explanation:

So you have the points -4.25 and 2.50. To find the midpoint you simply add the two and then divide by 2. This results in (-4.25 + 2.50) / 2 = -0.875

I’m pretty sure it’s -0.875

I need help pronto!!

Answers

Answer:

There were 42 fewer students who chose Football than Hockey.

Step-by-step explanation:

Fraction of students who chose Hockey

= 1 - [tex]\frac{1}{6}[/tex] - [tex]\frac{1}{3}[/tex]

= [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{2}[/tex] units = 21

 1 unit = 42

No. of students who chose Football

= 2 units ([tex]\frac{2}{6}[/tex])

= 84 students

No. of students who chose Hockey

= 3 units ([tex]\frac{3}{6}[/tex])

= 126 students

Difference between no. of students who chose Football and Hockey

= 126 - 84

= 42 students

∴There were 42 fewer students who chose Football than Hockey.

42 fewer students ……….

f(x)=2(x)^2+5√(x+2)
f(2)=

Answers

Answer:

f(2) =  18

Step-by-step explanation:

Put '2' into the equation where 'x' is to get :

f(2)  =  2 (2^2) + 5 (sqrt(2+2)

        =  8        + 5 (2)   =  18



Find the domain and range of the relation graphed below. Write your answers in interval notation.

Answers

Answer:

Domain: [tex][-1, 3][/tex]Range: [tex][0, 4][/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

The adjusted trial balance columns of the worksheet for Whispering Winds Company are as follows.

Answers

Answer:

Question?

Step-by-step explanation:

What is the simplified form of StartRoot 144 x Superscript 36 Baseline EndRoot?

12x6
12x18
72x6
72x18

Answers

The simplified form of the provided expression is 12x¹⁸ option second is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an expression:

[tex]\rm = \sqrt{144x^{36}}[/tex]

[tex]\rm = \sqrt{(12^2)(x^{36})}[/tex]

[tex]\rm = \sqrt{(12^2)}\sqrt{(x^{36})}[/tex]

12x¹⁸

Thus, the simplified form of the provided expression is 12x¹⁸ option second is correct.

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Answer:

12x18

Step-by-step explanation:

Edge 2023

Val's whole-house central air conditioner uses 3,000 watts when running. Val runs the AC 8 hours per summer day. Electricity costs (18 cents)/(1 kilowatt-hour). How much does Val's AC cost to run for a summer month of 30 days?

Answers

Step-by-step explanation:

3x8=24

24x30=720

720÷18=40 cents

Juan is learning about like terms in his math class. He must check all the combinations below that are like terms which ones should he check

Answers

Step-by-step explanation:

please attach a picture for us to see the choices

What are m and b in the linear equation y=2x+8

Answers

Answer:

m=2 and b=8

Step-by-step explanation:

this is a linear equation, which takes on the formula of y=mx+b
therefore in the equation y=2x+8, 2 is the m, and 8 is the b

D − 37 = 40
D =
Check your solution.
− 37 = 40

Answers

the answer is D= 77, 77-37=40
The answer is D=77

Checking the solution 77-37=40

Giving the brainliest to those who answer!

Answers

I think the answers B - could be wrong tho
The answer would be B the value decreases each year by &500

Suppose you are standing in a parking lot near a building, and the winter air temperature is 0 degrees Celsius. At that temperature, sound travels about 331 meters per second. If you sound a horn and it takes 0.7 seconds to hear the echo, how far away is the building?

Answers

The building is 231.7 m far away.Distance can refer to a physical length or an estimate based on other factors in physics or common use.

What is distance?

Distance is a numerical representation of the space between two objects or locations. |AB| is a symbol for the distance between two points A and B.

Given data;

Speed of sound  = 331 meters per second

Time = 0.7 sec

The distance from the building is;

d=v×t

d=331 m/sec × 0.7 sec

d=231.7 m

Hence the building is 231.7 m far away.

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Find the inverse of the function.
y=x+8

Answers

Answer:

y^-1= x +8

Step-by-step explanation:

this may be helpful for you

A boat travels upstream for 42 miles in 3 hours and returns in 2 hours traveling downstream in a river. What is the rate of the boat in still water and the rate of the current?

The rate of the boat in still water is : miles per hour

The rate of the current is: miles per hour:

Answers

Answer:

17.5 mph

Step-by-step explanation:

Let the speed of the boat in still water be B mph
Let the rate of the current be R mph

When going upstream the effective speed is B-R mph. In terms of values given effective upstream speed = 42/3 = 14 mph

So,

B-R = 14  ... (1)

Similarly downstream speed is  B + R (faster downstream)

B + R = 42/2 = 21 ....  (2)

(1) + (2) ==> 2B = 35

B = 35/2 = 17.5 mph

If k(x) = 5x-6, which expression is equivalent to (k+ k)(4)?

Answers

Adding Functions

Example:

[tex](f+g)(x)=f(x)+g(x)[/tex]

To add this, we can substitute in the functions and combine like terms.

Solving the Question

We're given:

[tex]k(x)=5x-6[/tex][tex](k+k)(4)=?[/tex]

Add k to k:

[tex](k+k)(x) = k(x)+k(x)\\(k+k)(x) = 5x-6+5x-6\\(k+k)(x) = 10x-12[/tex]

Input x as 4:

[tex](k+k)(4) = 10x-12\\(k+k)(4) = 10(4)-12\\(k+k)(4) = 40-12\\(k+k)(4) = 28[/tex]

Answer

[tex](k+k)(4)=28[/tex]

(k+k)(4) is equivalent to 28.

What is function ?

If we have two non-empty sets X & Y, then each element of X is relative to at least one element of Y. This relation between elements of two sets is called function.

Addition of two functions : If f(x) & g(x) be two functions, then

(f+g)(x) = f(x)+g(x)

What is the required result ?

Given, k(x) = 5x-6

Now, Adding function k with k we get,

(k+k)(x) = k(x)+k(x)

           = (5x-6)+(5x-6)

           = 5x-6+5x-6

           = 10x-12

We have to find, (k+k)(4)

∴  (k+k)(4) = (10×4)-12

                = 40-12

                = 28

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Although Orcas are not an endangered species, some local populations are considered threatened or endangered due to pollution, depletion of prey species, conflicts with fishing activities and vessels, habitat loss, and whaling. Based on your preview of the passage above, what do you predict the rest of the text will be about? Will it be: a. An explanation of the reasons why Orcas are in danger b. A history of Orcas bred in captivity c. A description of the hunting techniques of Orcas d. all of the above Which adaptation of this excerpt best indicates a change in time period?Look at this computer tablet to highlight that you are all alone.If you read this book, it will show Hamlet that you are alone.Read this book; that will emphasize that you dont need him.To show her that you are indeed alone, read this book. 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The buyer frequently permitted the dogs to run free within his fenced yard where the dogs, in addition to barking incessantly, would urinate and defecate within the view of the restaurant's patrons. The restaurant experienced a decrease in business attributable to the presence of the dogs. Without contacting the buyer, the chef initiated a lawsuit that alleges that the dogs constitute a private nuisance. Which of the following is the buyer's best argument against liability?A. The chef did not own the property on which the restaurant operated.B. The chef did not suffer a physical harm from the presence of the dogs.C. The chef had not tried to resolve the matter before filing the action.D. The buyer had acquired the dogs for his personal protection. Which part of an apple tree can make seeds? Select the correct answer.One tactor of the polynomial 253 - 352 - 35 + 2 is (x - 2). Which expression represents the other factor, or factors, of the polynomial?OA. (2:2 + 1)OB. (252 - 5 + 1)OC. 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