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SVEN [57.7K]
2 years ago
6

A company has a bonus incentive for its employees. The company pays employees an initial signing bonus of $1000 and invests that

amount for the employees. Suppose the investment earns 8% interest compounded quarterly.
a. If an employee receiving this incentive withdraws the balance of the account after 5 years, how much will be in the account? Round to the nearest cent.
b. If an employee receiving this incentive withdraws the balance of the account after 35 years, how much will be in the account? Round to the nearest cent.
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
6 0

Since this is a compound interest, we will use this formula: A = P(1+r/n)^n*t

P = $1000 --> the amount that we start with

r = 8% --> this is the rate

n = 4 --> This is because it is compounded quarterly.

t = 5 --> the amount of years

A = 1,000.00(1 + 0.02)^(20)

So our final value after inserting those numbers in the equation is: $1,485.95.

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SIZIF [17.4K]

<em>Missing Options:</em>

<em>A. Erica's graph is incorrect, because the slope  should be greater than 9.5. </em>

<em>B. Erica's graph is incorrect, because the y-intercept should be greater than 9.5. </em>

<em>C. Erica's graph is correct, because the slope  should be less than 9.5. </em>

<em>D. Erica's graph is correct, because the y–intercept  should be less than 9.5.</em>

<em></em>

Answer:

A. Erica's graph is incorrect, because the slope  should be greater than 9.5.

Step-by-step explanation:

Given

Clive:

d = 9.5h

Erica:

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b =0 --- y intercept

First, we need to determine the equation of Erica's earnings using

d = mh + b

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b = y intercept = 0

So, the equation becomes

d = 9 * h + 0

d = 9h + 0

d = 9h

This implies that Erica earns 9 dollars per hour

For Clive:

d = 9.5h

This means that Clive earns 9.5 dollars per hour

From the question, we understand that Erica earns more than Clive.

<em>So, we can conclude that Erica's graph is incorrect because the slope must be greater than 9.5.</em>

<em>When the slope is greater than 9.5, then she earns  more than Clive.</em>

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Step-by-step explanation:

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