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Question

1.) What change do you have to make to the graph of f (x) = 4x in order to graph the function g (x) = 4x+5?

Shift the graph _____ units _____.

A.) 4, right

B.) None of these

C.) 4, left

D.) 5, left

E.) 5, right

2.) What is the total amount for an investment of $2150 invested at 5.3% for 16 years and compounded continuously?

A.) ≈ $5020.19

B.) ≈ $5152.68

C.) ≈ $5968.93

D.) ≈ $6000

Answer 1

1.) In the graph of f(x) if we will replace x by x + a the graph will shift to the left with the a' unit

In the given function f(x) x is replaced by x+5 so the graph will be a shift to 5 unit left

Hence option D is correct.

2) The total investment is $5020.19

Step-by-step explanation:

Given: $2150 invested at 5.3% for 16 years and compounded continuously

To find: What is the total investment?

Solution :

The formula of continuously compounded interest is

Where A = amount invested

P = principal = $2150

e = Euler's number (on calculator)

r = interest rate as decimal = 5.3%=0.053

t = time in years = 16 years

Substitute the value in the formula,

Therefore, Option 4 is correct.

The total investment is $5020.19.