Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
1) From the information given,
P = cost of gym = $2200
R = 6%
T = 3 years
I = (2200 × 6 × 3)/100 = $395
The total amount that he would pay after 3 years is
2200 + 395 = $2596
If he decides to continue going to the gym, the total amount that the would pay in 3 years(3 × 12 = 36 is
80 × 36 = 2880
Therefore, paying for the gym would cost more. He should take the loan.
2) if she takes the loan, the interest would be
I = (18000 × 7.5 × 5)/100 = $6750
The total amount that she would pay back after 5 years is
6750 + 18000 = $24750
Since the value that would be added to her house is $25000, therefore, she should buy it.
Given:
Dimensions of Kendra's yard are 24.6 feet by 14.8 feet.
To find:
The area of her yard.
Solution:
Let as consider,
Length of yard = 24.6 ft
Width of yard = 14.8 ft
We know that,
Area of a rectangle = Length × Width
Using the above formula, we get the area of her yard.
Area of her yard is 364.08 ft² and without including the units ft², we get 364.08.
Therefore, the area of her yard is 364.08.
The volume of the prop is calculated to be 2,712.96 cubic inches.
<u>Step-by-step explanation:</u>
Step 1:
The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying 
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.
The volume of the cone : 
= 
= 1,186.92 cubic inches.
Step 3:
The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying 
with π and the cube of the radius (r³).
Here the radius is 9 inches. We take π as 3.14.
The volume of a full sphere = 
= 
= 3,052.08 cubic inches.
The volume of the half-sphere = 
= 1,526.04 cubic inches.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.
X= 2 over 9 or in decimal form 0.2222....
Set 4 is the correct answer because if you multiply 10 by 10 + 20 times 20, you will get 400 and when you multiply 30 by 30 you also get 400 which is equal to 400 there for you answer would be set 4.
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