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Kazeer [188]
2 years ago
15

A bank offers two different types of interest on saving accounts

Mathematics
2 answers:
Lena [83]2 years ago
7 0

Answer:

What is the answer

Step-by-step explanation:

goldenfox [79]2 years ago
4 0

Answer:

(a) The closet to the simple interest eaened in 5 years is $275.00.

(b) The closet to the compound interest earned in 5 years is $276.28.

Step-by-step explanation:

These can be determine as follows:

(a) Simple Interest

The interest earned and be determined using the simple interest formula as follows:

Simple interest = P * R * T ....................... (1)

Where;

P = Principal = $1,000

R = interest rate = 5.5%

T = term = 5

Substituting the values into equation (1), we have:

Simple interest = $1,000 * 5.5% * 5 = $275.00

(b) Compound Interest

The interest earned and be determined using the compound interest formula as follows:

Compound interest = P(1 + R)^T - P ....................... (2)

Where;

P = Principal = $1,000

R = interest rate = 5%, or 0.05

T = term = 5

Substituting the values into equation (2), we have:

Compound interest = $1,000(1 + 0.05)^5 - $1,000 = ($1,000 * 1.05^5) - $1,000 = ($1,000 * 1.2762815625) - $1,000 =$1,276.28 - $1,000 = $276.28

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$18.45

Step-by-step explanation:

1.45 in nickels

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2 years ago
Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that
AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let <em>x</em> is the money deposit in the bank and <em>y</em> is the money deposit in stock fund.

Therefore,

<em>x</em> + <em>y</em> = 27000

<em>x</em>  = 27000 - <em>y</em>

The bank account will pay 2.4% annual interest.

\frac{2.4}{100}x+x=1.024x

Stock fund pays 7.2% annual interest.

\frac{7.2}{100}y+y=1.072y

Therefore,

1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000

Substitute the <em>x</em>  = 27000 - <em>y</em> in above equation.

1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000

27648 − 1.024 <em>y</em> + 1.072 <em>y</em> = 28620

0.048 <em>y</em> = 28620-27648

0.048 <em>y</em> = 972

<em>y</em> = 20250

Now, substitute the <em>y</em> = 20250 in <em>x</em>  = 27000 - <em>y</em>.

<em>x</em> = 27000 − 20250

<em>x</em> = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

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3 years ago
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