The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t
Give, a lump sum of $2000 is invested at 4.2% compounded continuously.
Hence we have:
P = $2000
rate of interest = 4.2%
years = t
we know that A = Pe^rt
Substitute the above values in the formula.
Amount = f(t)
f(t) = 2000.e⁰·°⁴²t
hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t
Therefore we get the required function.
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Answer: The price of the shirt becomes 14.4 after using the 20% off coupon. Why?
Step-by-step explanation:
Multiply the number by the percent ( 18* 20 = 360)
Divide the answer by 100 (e.g. 360/100 = 3.6)
18.00 - 3.6 = 14.4
Answer:
90
Step-by-step explanation:
Answer:
f(t) = 15.06 m
Step-by-step explanation:
The relationship between the height of the rocket and the time after launch, t. In seconds is given by :

We need to find the maximum height the rocket will reach the ground.
When it reaches the ground,
f(t) = 0
So,
Maximum height,
f'(t) = 0

Put t = 1.63 in equation (1).

So, the maximum height of the rocket is 15.06 m.
Answer:
8x + 9
Step-by-step explanation:
Perimeter is the sum of all sides:
2x + x+8 + 5x+1 = 8x + 9