Answer:
Step-by-step explanation:
<u>The volume formula:</u>
<u>Given:</u>
- d = 0.75 in ⇒ r = d/2 = 0.75/2 in
- h = 0.04 in
<u>The volume of each penny:</u>
<u>The volume of 100 pennies:</u>
- V = 100*π(0.75/2)²(0.04) = π(0.75/2)²(4)
Correct choice is B
The percent of the increase is

I is the increasing value
N is the new value
O is the original value
The price of the cooler is $28.50, then
O = 28.50
The selling price of the cooler is $40.76, then
N = 40.76
We will substitute them in the rule above to find I

Let us calculate it
I = 43.0175 %
Round it to the nearest percent
I = 43%
The answer is D
Answer:
d + n = 147
0.10d + 0.05n = 11.65
d = 86, n = 61
Step-by-step explanation:
Let
Number of dimes = d
Number of nickels = n
Total coins = 147
Total value = $11.65
d + n = 147 (1)
0.10d + 0.05n = 11.65 (2)
From (1)
d = 147 - n
Substitute d = 147 - n into
0.10d + 0.05n = 11.65
0.10(147 - n) + 0.05n = 11.65
14.7 - 0.10n + 0.05n = 11.65
- 0.10n + 0.05n = 11.65 - 14.7
-0.05n = -3.05
n = -3.05 / -0.05
= 61
n = 61
Substitute n = 61 into
d + n = 147
d + 61 = 147
d = 147 - 61
d = 86
143 is composite. To be prime it has to have only 2 divisors i.e it's self and one but since it has 4 divisors ( 143, 1, 11 and 13) it is composite.