D because on the Y-axis it’s going to always be 5
Answer:
1) 81.67 cm² (Option A)
2) 28.26 m² (Option B)
3) 153.86 mi.² (Option D)
4) 329.90 m² (Option A)
5) 63.585 ft.² (Option C)
Step-by-step explanation:
<u>GENERAL FORMULAES TO BE USED IN THIS QUESTION :-</u>
Diameter of a circle with radius 'r' = 2r
Area of a circle with radius 'r' = πr²
<u>SOLUTION :-</u>
1) Diameter of the dinner plate = 10.2 cm
Radius of the dinner plate = 10.2/2 = 5.1 cm
⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²
2) Length of his leash = 3m
⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²
3) Radius of the circular range of storm = 7 mi.
⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²
4) Diameter of carousel = 20.5 m
Radius of carousel = 20.5/2 = 10.25 m
⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²
5) Radius of the range of sprinkler = 4.5 ft.
⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²
The total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.
<h3>What is invested amount?</h3>
An investment is a payment made to acquire the securities of other firms with the intention of making a profit.
We are assuming the interest will be compounded annually
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have:
P = $7000
r = 3% = 0.03
t = 10 years
n = 1
After calculating:
A = $9407.41
I = A - P = 9407.41 - 7000 = $2,407.41
Thus, the total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.
Learn more about the invested amount here:
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We have that
<span>negative 3, left-parenthesis space right-parenthesis, negative 1 and one-eighth
</span>[-3,( ),-1,1/8]
we know that
<span>the number to insert must be between -3 and -1------> (-3,-1)
</span>
<span>A. negative 3 and one-half -------> is not in the interval (-3,-1)
B. 0 </span>-------> is not in the interval (-3,-1)<span>
C. negative 2 and one-fourth ----> -2 1/4 belong to the interval (-3,-1)
D. one and one-half </span> -------> is not in the interval (-3,-1)
therefore
the answer is the option
C. negative 2 and one-fourth
