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Pavel [41]
3 years ago
15

Let f(x)=6/5x−1/2. Describe the transformations from the graph of f to the graphs of g(x)=−f(x) and h(x)=f(−x).

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Answer:

g(x)=-6/5x+1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

1).   g(x)=−f(x) ?

f(x)=6/5x−1/2

g(x)=−(6/5x−1/2)

<u>g(x)=-6/5x+1/2</u>

2). h(x)=f(−x) ?

f(-x)=6/5(-x)−1/2

f(-x)=-6/5x-1/2

h(x)=-6/5x-1/2

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The balance, in dollars, (future value) when the pension plan earns 6% compounded monthly is <u>$372,134.19</u>.

<h3>What is future value?</h3>

The future value refers to the compounded future value of an asset, for example, a pension plan, based on a growth rate of interest for a future period.

The future value can be determined with the FV formula, table, or using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

N (# of periods) = 528 months (68 - 24 x 12 months)

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PV (Present Value) = $0

PMT (Periodic Payment) = $144

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FV = $372,134.19

Sum of all periodic payments = $76,032 ($144 x 528)

Total Interest = $296,102.19

Thus, the balance, in dollars, (future value) when the pension plan earns 6% compounded monthly is <u>$372,134.19</u>.

Learn more about calculating future values at brainly.com/question/24703884

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