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2 years ago

Find the future value of 575 at 5.5% compounded quarterly for 5 years. Round to the nearest cent

Mathematics

1 answer:

Readme [11.4K]2 years ago

4 0

Answer:

Future value = $755.61 ( to the nearest cent)

Step-by-step explanation:

The formula for calculating the future value of an invested amount compounded periodically for a number of years is given as:

$FV = PV (1+\frac{r}{n} )^{n*t}$

where:

FV = future value = ???

PV = present value = $575

r = interest rate in decimal = 5.5% = 0.055

n = number of compounding periods per year = quarterly = 4

t = time of investment = 5 years

∴ $FV = 575 (1+\frac{0.055}{4} )^{4*5}$

$FV = 575 (1+0.01375)^{20}\\FV = 575 (1.01375 )^{20}\\FV = 575 * 1.3141\\FV = 755.607$

∴ Future value = $755.61 ( to the nearest cent)

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Angela purchased a storage cube with a volume of 10 cubic feet. She wants to put it on a shelf that is 24 inches tall.

bulgar [2K]

Answer:

Step-by-step explanation:

10 cubic feets volume is equivilant o 25.85 inches.

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3 years ago

The Children’s Hospital sponsors a 10K race to raise money. It receives $75 per race entry and $10,000 in donations, but it must

svetlana [45]

THE ANSWER:

There would need to be at least 1,800 entries in order for them to meet their goal.

Step-by-step explanation:

To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.

75x - 25x

Then we can add the number of donations.

75x - 25x + 10,000

Then we can set it as greater than or equal to the goal number.

75x - 25x + 10,000 ≥ 100,000

Now we solve this using the order of operations.

75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms

50x + 10,000 ≥ 100,000 ------> Subtract 10,000

50x ≥ 90,000 -----> Divide by 50

~~~~~~~~~x ≥ 1,800~~~~~

4 0

3 years ago

Read 2 more answers

Do you know what 2/9 x 3 is?

ohaa [14]

Answer:

$answer = \frac{2}{3}$

$\frac{2}{9} \times \frac{3}{1} \\ = \frac{6}{9} = \frac{2}{3}$

7 0

2 years ago

Read 2 more answers

A transformation T : (x, y) → (x + 3, y + 1). Find the preimage of the point (4, 3) under the given transformation. (7, 4) (1, 2

motikmotik

Answer:

(1, 2)

Step-by-step explanation:

Remember that the final shape and position of a figure after a transformation is called the image, and the original shape and position of the figure is the pre-image.

In our case, our figure is just a point. We know that after the transformation T : (x, y) → (x + 3, y + 1), our image has coordinates (4, 3).

The transformation rule T : (x, y) → (x + 3, y + 1) means that we add 3 to the x-coordinate and add 1 to the y-coordinate of our pre-image. Now to find the pre-image of our point, we just need to reverse those operations; in other words, we will subtract 3 from the x-coordinate and subtract 1 from the y-coordinate.

So, our rule to find the pre-image of the point (4, 3) is:

T : (x, y) → (x - 3, y - 1)

We know that the x-coordinate of our image is 4 and its y-coordinate is 3.

Replacing values:

(4 - 3, 3 - 1)

(1, 2)

We can conclude that our pre-image is the point (1, 2).

6 0

2 years ago

Jin tried to evaluate 5 + 2 x 9 step-by-step.

Zigmanuir [339]

Answer:

5 + 2 x 9

Step 1 = 7 x 9

Step 2 = 63

Step-by-step explanation:

= 5 + 2 x 9

= 5 + ( 2 x 9 )

= 5 + 18

= 23

Step 2 = 7 x 9

= 63

Step 3 = 63

C. jin did not make a mistake

Sorry i'm wrong :)

4 0

3 years ago