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BaLLatris [955]
2 years ago
5

an employer will do a 50% match on your investment to a 401k retirement plan. If you decide to contribute a monthly amount of $2

20,how much should be in the account after 15 years? The interest rate is fixed at 2.05%.
Mathematics
1 answer:
faltersainse [42]2 years ago
6 0

Answer:

The amount that should be in the account after 15 years is $95,321.85

Step-by-step explanation:

According to the given data, we have the following:

monthly amount of $220=R

interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017

t=15years×12=180 months

In order to calculate how much should be in the account after 15 years, we would have to use the following formula:

Ap=<u>R(1-(1+i)∧-t)</u>

             i

Ap=<u>220(1-(1+0.0017)∧-180)</u>

                       0.0017

Ap=<u>162,04</u>

      0.0017

Ap=$95,321.85

The amount that should be in the account after 15 years is $95,321.85

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Answer: Jack can fill his feeder 12 times with 4 pounds of birdseed.

Step-by-step explanation:

You need to analize the information given in the exercise, You know that every time Jack fills the feeder, he put \frac{1}{3} pounds into it.

Then, in order to solve this exercise, let "x" represents the number of times that Jack can fill his  feeder with 4 pounds of birdseed.

Keeping on mind the data provided in the exercise, you can set up de following proportion:

\frac{1}{\frac{1}{3}} = \frac{x}{4}

Finally, you must solve for "x" in order to find its value.

You get that this  is:

3= \frac{x}{4}\\\\(3)(4)=x\\\\x=12

Therefore, you can conclude that Jack can fill his feeder 12 times with 4 pounds of birdseed.

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<em>"Associate with people who are likely to improve you."</em>
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