Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:
The answer is 
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula 
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:
<em>rounding to the nearest whole number, it is </em>151 units^2
Step-by-step explanation:
principal= 24000$
rate=8.25%
time=36months=3years
now,
simple interest =PTR/100
=24000×8.25×3/100
=594000/100
=5940
so,
amount=simple interest +principal
=5940+24000
=29940$
he had to pay back 29940$
hope it could help
Answer:
7680πyd³
Step-by-step explanation:
The formula to calculate the volume of the cylinder is πr² h
Here radius (r) = 16 yd
height (h) = 30 yd
Now
the volume is
= πr²h
= 16² * 30 * π
= 7680 π yd³
Hope it will help :)❤
Answer:
It takes 75 years for the investment to quadruple in value
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this question:
4% simple interest per year, so I = 0.04.
Quadruple:
t when T = 4P.
The interest earned is:
Now we find the time.
It takes 75 years for the investment to quadruple in value
F(x) means "function of" and x represents the day number, example: day 6 would be f(6)=(20×6)+95
