Answer:
FV= $34,222.33
Step-by-step explanation:
<u>First, we need to calculate the weekly interest rate:</u>
Weekly interest rate= 0.0289/52= 0.00056
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= {A*[(1+i)^n-1]}/i
A= weekly deposit
n= 15*52= 780
A= $35
FV= {35*[(1.00056^780) - 1]} / 0.00056
FV= $34,222.33
Obtuse triangle Pythagorean Theorem
c² > a² + b²
20² > x² + 3x²
400 > 4x²
<u>÷4 ÷4</u>
<u> 100 > x²</u>
10 > x
400 > 4(7.1)²
400 > 4(50.41)
400 > 201.64
The greatest possible value of x is 7.10
Answer:
C. 28 ft³
Step-by-step explanation:
The general formula for the volume of a pyramid:
V =
, where B = the area of the base and h = height of the pyramid
Since the base is a rectangle, we can find area using the formula:
A = l x w or A = 3 x 4 = 12 ft²
Using B = 12 and h = 7:
V = 
V = 28 ft³
Answer:
Her usual driving speed is 38 miles per hour.
Step-by-step explanation:
We know that:

In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.
We have that:
At speed s, she takes two hours to drive. So


However, on one particular trip, after 40% of the drive, she had to reduce her speed by 30 miles per hour, driving at this slower speed for the rest of the trip. This particular trip took her 228 minutes.
228 minutes is 3.8 hours. So

So




Her usual driving speed is 38 miles per hour.