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:
(0.353, -48)
Step-by-step explanation:
dy/dx = 9x² + 28x - 11 = 0
Using the quadratic formula:
x = -3.46 and 0.353
d²y/dx² = 18x + 28
Minima when d²y/dx² is positive
x = 0.35284 or (-14+sqrt(295))/9
y = 3x³ + 14x² - 11x - 46
y = -48.00651351
Answer:
x = 
Step-by-step explanation:
note that 64 = 
and 32 = 
, thus
= 
, that is
= 
= 
Since the bases on both sides are equal, then equate the exponents
12x - 6 = 5x + 5 ( subtract 5x from both sides )
7x - 6 = 5 ( add 6 to both sides )
7x = 11 ( divide both sides by 7 )
x =
The answer would be C) Triangle ABC. This would because it matches with triangle XYZ's each respective angle. Hope this helped!
