<span>A(t) = −(t − 8)2 + 535
You would like to find the maximum of this function:</span> −(t − 8)^2<span>This part is always negative or zero as a number squared cannot be negative and you multiply by -1: Thus the maximum of this part MAX:</span>−(t − 8)^2=0
<span>The max will be when t=8 and its value is 535
</span>
P(B) = 0.75.
For independent events, P(A and B) = P(A)*P(B). This gives us
1/8 = 1/6(x)
Divide both sides by 1/6:
1/8 ÷ 1/6 = x
1/8 × 6/1 = x
6/8 = x
3/4 = x
0.75 = x
$7881.18
Step-by-step explanation:
Let the initial Investment be
. The Interest is compounded on a monthly basis at 12% annual interest rate. After 17 years, the Investment amounts to $60,000.
As the annual interest rate is 12%, the monthly interest rate is 1%.
Since this is a compound interest problem, the total amount can be modeled as follows: 
Here
is the interest rate, i.e
, and t is the number of time periods, i.e
= 


∴ Initial Investment = $7881.18
Answer: C
Step-by-step explanation:
We are given the information that:
- The airplane is at 50,000 feet
- It descends 2,500 feet in 1 minute
- x = minutes
For ease of solving this question, let's set the number of minutes (x) to 1.
- In one minute, we know the plane will drop to 47,500 feet. (50,000 - 2,500(x))
There are multiple ways to write this equation bu shifting around negative and positive values. Another way to write this equation would be (-2,500(x) + 50,000). That would be choice C.
Try it out~

It works, so our answer is C.