Answer: 8% interest rate
Step-by-step explanation: intrest = 484
you’re welcome!
Remark
The easiest way to do this is to find the radius of both spheres . That gives you the scale factor. The answer to the next two parts might surprise you.
Step one
Find the volume of the small sphere.
V = 4/3 pi r^3
V = 250 yards^3
pi = 3.14
r = ???
Sub and solve
250 = 4/3 pi * r^3 Multiply both sides by 3/4 to get rid of the fraction on the right.
250 * 3/4 = pi * r^3
187.5 = pi r^3 Divide by pi
187.5 / pi = r^3
59.71 = r^3 Take the cube root of both sides.
cube root (59.71) = cube root(r^3)
r = 3.91
Step 2
find the radius of the large sphere.
I'm just going to give you the answer. Follow the above steps to confirm it.
V = 686 cubic yards
pi = 3.14
r = ??
r = cube root (514.5/3.14)
r = 5.472
Step 3
Find the ratio
r_large/r_small = 5.472/3.91 = 1.3995
I'm going to leave the Area calculations to you
The area ratios should come to 1.96 (about)
The volume ratios should come to 1:2.74
To find this answer, first subtract 1,500 from the amount your class raises (16, 600) so you are just left with the 'leftover' money for students to board.
16600-1500= 15100.
Then, divide 15100 into 367 to find out how many can go.
15100/367= 41.1444. Round down to 41.
41 students can attend, and there will be a bit of leftover money. (if you want to figure out how much is left over, multiply 41 by 367, and then subtract 15100 by the product)
24:
1 and 24
6 and 4
2 and 3 2 and 2
So 24 = 1 X 2^3 X 3
28:
1 and 28
7 and 4
2 and 2
So 28 = 1 X 2^2 X 7
Therefore the greatest common factor of 24 and 28 is 2.
3 1/4 = 13/4
1 2/4 = 6/4
So 13/4 - 6/4 = 7/4
7/4 = 1 3/4