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Illusion [34]
3 years ago
13

Tyler has $1000 that he wants to put in a savings account. He wants to save the money for 6 years. After 6 years he plans to tak

e the money out and spend it on college. He looks at two different banks, and they offer him different interest options.
Bank A offers Tyler 4% simple interest. How much would Tyler’s investment be worth after 6 years in this account? Show your calculations below.
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
6 0
Tyler's $1,000 investment will be worth $1,240 after 6 years, invested at 4% interest rate.

The problem gives the following relevant data:

Principal = $1000
Interest rate = 4% simple interest
Term or time period = 6 years

Since simple interest is given, we need to use the simple interest formula;

I = P x R x T

where: P is the principal, R is the interest rate, and T is the time the money will be invested.

I = $1000 x 4% x 6yrs
I = $1000 x 0.04 x 6
I = 40 x 6
I = 240  ==> Interest earned after 6 years is $240.

Total Investment = Principal + Interest
T.I. = $1,000 + $240
T.I. = $1,240  ==> the value of Tyler's investment after 6 years.
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So we have the equation:

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A)

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B)

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C)

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If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:

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So, C is also correct.

D)

We have:

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Note that this is not correct.

This attempted to use the distributive property. However, the distribute property does <em>not work</em> for multiplication. For instance:

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However:

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So, choice D is not equivalent.

So choice D is our answer :)

If we evaluate it, we will get 30, in contrast to the 60 of the others.

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