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NeX [460]
3 years ago
13

Suppose Lisa places $8500 in an account that pays 16% interest compounded each year. Assume that no withdrawals are made from th

e account.
Follow the instructions below. Do not do any rounding.

(a) Find the amount in the account at the end of 1 year.

(b) Find the amount in the account at the end of 2 years.
Mathematics
1 answer:
luda_lava [24]3 years ago
7 0
You can use the compounded formula.
A = P(1 + \frac{r}{n})^{nt}

A = total amount 
P = principal or amount of money deposited,
r = annual interest rate 
n = number of times compounded per year
t = time in years

A = 8500(1 + \frac{.16}{1})^{1\times1}   <------ First Year

A = 8500(1 + \frac{.16}{1})^{1\times2}   <-----Second Year

A = $9860           <----First Year

A = $11,437.60   <----Second Year

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Please i need help with the answers this is due later on today
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Answer:

384, 216, 290, 192, 384

1446, 1 roll

Step-by-step explanation:

For rectangular boxes, calculate the sum of each side, then multiply it by two.

Box 1: 2(18 x 5) + 2(18 x 4) + 2(5 x 4) = 364

Box 3: 2(11 x 8) + 2(8 x 3) + 2(3 x 11) = 290

Box 5 is a cube (all sides equal), so you can find 1 side's area and multiply it by 6.

Box 5: 6(8 x 8) = 384

For triangular boxes, calculate the edges, then find the triangular area using area = 0.5(base x height).

Box 2: (15 x 3) + (9 x 3) + (12 x 3) + 2(0.5)(9 x 12) = 216

Box 4: 2(13 x 2) + (10 x 2) + 2(0.5)(10 x 12) = 192

Total: 364 + 290 + 384 + 216 + 192 = 1446

Rolls of wrapping paper:

Area of 1 roll = 30 x 60 = 1800

Since 1446 is less than 1800, you only need 1 roll of wrapping paper.

8 0
3 years ago
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Pavlova-9 [17]

probability of getting black card an ace =2/52=1/26

5 0
2 years ago
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andriy [413]

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A rectangle has a perimeter of 30 ft. Find a function that models its area A in terms of the length x of one of its sides. What
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

Given P = 30ft, on substituting P = 30 into the expression;

30 = 2(x+y)

x+y = 15

y = 15-x

Also since the area of the rectangle is xy;

A = xy

Substitute y = 15-x into the area;

A = x(15-x)

A = 15x-x²

The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

dA/dx = 15-2x

15-2x = 0

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x = -15/-2

x = 7.5 ft

Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

y = 7.5

Area of the rectangle = 7.5*7.5

Area of the rectangle = 56.25ft²

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Carlos is in the 12% tax bracket. Over the course of the year, he paid $2,000 in student loan interest. This $2,000 decrease in
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Answer:

The $2,000 decrease in Carlos's taxable income will save him

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Step-by-step explanation:

i) Carlos is in the 12% tax bracket.

ii)The $2,000 decrease in Carlos's taxable income will save him

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