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3 years ago

4. An investment account pays 4.6%

Mathematics

1 answer:

gulaghasi [49]3 years ago

5 0

Answer:

Step-by-step explanation:

Use the formula

$A(t)=P(1+\frac{r}{n})^{(n)(t)}$

where A(t) is the amount after all the compounding is done, P is the initial investment, r is the interest rate as a decimal, n is the number of times the investment is compounded each year, and t is time in years. For us,

P = 6050

r = .046

n = 4

t = 6

A(t) = ?

Filling in our given info:

$A(t)=6050(1+\frac{.046}{4})^{(4)(6)}$

which simplifies to

$A(t)=6050(1+.0115)^{24}$

which simplifies a bit more to

$A(t)=6050(1.0115)^{24}$ and

A(t) = 6050(1.31577397) so

A(t) = $7960.43

which is choice C

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Nadusha1986 [10]

The paper is 7 cm by (x + 8) cm.

A photo is 5 cm by (x + 6) cm, and is printed in the middle of the paper.

The area of the border/space around the photo is 50 cm².

To find the area of the border around the photo, you find the area of the paper and subtract it by the area of the photo.

The area of the paper:

A = 7 · (x + 8)

The area of the photo:

A = 5 · (x + 6)

Your equation to find the area of the border around the photo is:

(7 · (x + 8)) - (5 · (x + 6)) = A

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Since you know the area of the border, you can plug it in:

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Multiply the 7 into (x + 8), and multiply the 5 into (x + 6)

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Combine like terms

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2 years ago

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Luba_88 [7]

Answer:

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Step-by-step explanation:

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Recall that distance = rate times time, so time = distance / rate.

Time spent going was (280 mi) / r1, or (280 mi) / (r2 + 9 mph).

Time spend returning was (280 mi) / r2.

The total time was 14 hrs, so (280 mi) / (r2 + 9 mph) + (280 mi) / r2 = 14 hrs

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Dividing all 3 terms by 14 hrs yields:

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------------------- = 1 or ------------------

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Then 20(r2) = (r2)^2 + 9(r2). This is reducible by dividing all terms by r2:

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3 years ago

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