Answer:
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Step-by-step explanation:
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Answer: $151377.5 should be invested.
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
A = $300000
r = 3.8% = 3.8/100 = 0.038
t = 18 years
Therefore,
300000 = P x 2.7183^(0.038 x 18)
300000 = P x 2.7183^(0.684)
300000 = 1.9818P
P = 300000/1.9818
P = $151377.5
Answer:
x = - 2, x = 7
Step-by-step explanation:
Given
f(x) = 4x² - 20x - 56
To find the zeros let f(x) = 0, that is
4x² - 20x - 56 = 0 ( divide through by 4 )
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 7 = 0 ⇒ x = 7
