Last one can anyone help me plz

Mathematics

1 answer:

meriva4 years ago

5 0

Answer:

(f - g)(x) = -x² + 2x +1

Step-by-step explanation:

Given

f(x) = 2x
g(x) = x² - 1
(f - g)(x) = ?

Solution

(f - g)(x) = 2x - (x² - 1) = 2x - x² + 1 = -x² + 2x +1
(f - g)(x) = -x² + 2x +1

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Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. after c years, calvin has $658.80. makayl

vodomira [7]

You will need a special formula to compute this.
Years = log (total/principal) / [n * log * (1 + rate / n)]

Part A) Calvin $400 5% monthly 658.80 Time = ?
Monthly compounding "n" = 12
Years = log(658.80/400) / [12 * log(1+ (.05/n))
Years = log ( 1.647 ) / (12 * log ( 1.0041666667 )
Years = 0.21669359917 / 12 * 0.0018058008777
Years = 0.21669359917 / 0.0216696105 
Years = 9.999884362 


Part B) Makayla 300 6% quarterly 613.04Time=?
Quarterly compounding
n = 4
Years = log (total/principal) / [n * log * (1 + rate / n)]
Years = log (613.04/300) / [4 * log (1 + .06/4)]
Years = log ( 2.0434666667 ) / 4 * log (1.015)
Years = 0.31036755784 / 4 * 0.0064660422492
Years = 0.31036755784 / 0.025864169 
Years = 11.9999044949 

So, the difference is roughly 3 years.