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loris [4]
3 years ago
7

Jade invested $13,500 at 5.2% interest, compounded semiannually, and she wants to know how much her investment will be worth in

8 years

Part 1: What is the periodic interest rate of jade investment
Part 2: How many compounding periods does jades investment offer in a year? how about in 8 years?

Mathematics
2 answers:
rodikova [14]3 years ago
5 0
Part 1: <span>What is the periodic interest rate of jade investment?

Each compounding period is done semi-annually, which means twice a year. Since the given interest rate is annual, then 5.2% divided by half should yield the period interest rate, which is 2.6%

Part 2: </span><span>How many compounding periods does Jade's investment offer in a year? how about in 8 years?

In 1 year, there are 2 compounding periods. In 2 years, there are 16 compounding periods.</span>
Tpy6a [65]3 years ago
3 0

Answer:

Part 3: What expression can Jade write to figure out how much her investment will be worth in 8 years?   F = $13,500.00 * (1 + .052/2) ^ (2*8)

Part 4: How much will Jade's investment be worth in 8 years?  $20,355.96

Step-by-step explanation:

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I made 12 dog treats using 1 cup of peanut butter. If I want to make 36 dog treats, how much peanut butter will I need? Write a
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Answer:

You will need 3 cups peanut butter to  make 36 dogs treats.

Peanut butter Cup  :  The dog treats made =  1: 12

Step-by-step explanation:

12 dog treats  = 1 cup  

So, by UNITARY METHOD

1 dog treat = (1/12) cup

So, 36 dog treats = 36 x (1/12) cup = 3 cups

So, you will need 3 cups peanut butter to  make 36 dogs treats.

If 1 cup = 12 Dog Treats

then 1 x 3 cup = 12 x 3 dog treats

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A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
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The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

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2 years ago
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