Answer:
A
Step-by-step explanation:
Answer:
A = $45948
Step-by-step explanation:
Given the following data;
Principal = $8000
Interest rate = 6% = 6/100 = 0.06
Time = 30 years
To find the future value, we would use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
t is the number of years for the compound interest.
Substituting into the equation, we have;

A = $45948
Answer:
Last one
t = 1.5; it takes 1.5 seconds to reach the maximum height of 36 meters.
Step-by-step explanation:
h(t) = −16t² + 48t
h(t) = -16(t² - 3t)
h(t) = -16(t² - 2(t)(1.5) + 1.5² - 1.5²)
h(t) = -16(t - 1.5)² + 36
Axis of symmetry:
t = 1.5
Max height = 36
Answer:
Option B. 
Step-by-step explanation:
step 1
Find the central angle of the shaded sector
Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)
so
Let
x -----> the measure of the central angle of the shaded sector
∠x+72°=180°
∠x=180°-72°=108°
step 2
Find the area of the circle
The area of the circle is

we have

assume

substitute


step 3
Find the area of the shaded sector
Remember that the area of the complete circle subtends a central angle of 360 degrees
so
by proportion find the area of a sector by a central angle of 108 degrees
