PreCalculus Question Please show work!!! 9. a) You hope to retire in 35 years an

Question

PreCalculus Question

Please show work!!!

9. a) You hope to retire in 35 years and save up $1,500,000 in your 401K retirement account. You invest your money in the stock market which generates an average return of 13% annually. Find the initial investment needed when your money is compounded continuously for 35 years? The value C of a Chevy VXZ SUV that is x years old is modeled by C(x) = 61,250(0.87)" b) How much should a 7 year old VXZ be worth? c) What is the amount (in dollar) of depreciation after 7 years? d) Calculate the percentage of deprecation after 7 years. e) According to the model, when will the SUV be worth of $8,000? 10. Solve for x, log2(x + 1) + log2(x-5) = 3

Explanation / Answer

b. The new Suv c will cost C (0)= 61250 (0.87)0=61250

After 7 years it should be = 61250× (.87)7= 23,106.85

c. Depreciation amount = 61,250- 23,106.85= 38,143.15

d. % of depreciation =

(depreciation amount/ original amount)×100

= (23,106.85/61250)× 100= 37.72%

e. Use the equation 8000= 61250 (.87)x here try to convert 8000/61250 in terms of .87 and then equate the powers.

10. Log2 ((x-1)(x-5))= 3

(X-1)(x-5)= 23

x2-5x-x+5=8

x2-6x-3=0

x=[ 6 (+/-)(36-12)]

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