Suppose you are committed to owning a $200,000 Ferrari. If you believe your mutual fund can achieve an annual return of 10.65 percent, and you want to buy the car in 11 years on the day you turn 30, how much must you invest today? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) Amount to be invested $

Amount to be invested is

$6564.10

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

A = 200000

r = 10.65% = 10.65/100 = 0.1065

n = 1 because it was compounded once in a year.

t = 11 year

Therefore,.

200000 = P(1+0.10659/1)^1 × 11

200000 = P(1.10659)^11

P = 200000/(1.10659)^11

P = $6564.10

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.