Answer:28%
Step-by-step explanation:
First we can simplify a bit by dividing by 2500:
3 = 8 * (0.85)^x => 0.85^x = 3/8
next, we can take the log() on both sides, and use the fact that log(a^b)=b*log(a)
log(3/8) = log(0.85^x) => log(3/8) / log(0.85) = x
If you calculate this, you find x ≈ 6.03
Y = -t ^ 2 + 300t - 16
We find the first derivative and calculate its roots.
We make the second derivative, and calculate the sign taken in it by the roots of the first derivative, and if:
f '' (a) <0 is a relative maximum
f '' (a)> 0 is a relative minimum
y '= - 2t + 300 = 0
-2t + 300 = 0
t = 300/2 = 150
y'' = - 2
y'' (150) = - 2 (is a relative maximum)
the highest point of the trajectory is reached for t = 150s.
The height for that time is
y = - (150) ^ 2 + 300 (150) - 16 = 67484
answer
67484
t = 150s.
Answer:
The interest was 2,300 and he had to pay 22,300 at the end of the loan
Step-by-step explanation:
he only had to make a one time payment so he only has to make the interest one time. take 20,000 times .115 which is 11.5% in decimal form which is 2,300, that is how much interest he had to pay. the total amount he had to pay was the loan ($20,000) plus the interest ($2,300) so he paid in total $22,300
