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Nutka1998 [239]
3 years ago
15

George earned $3,200 for one month of work. He paid $640 in income tax for the month. What percent tax did he pay? (Ignore the p

ercent sign when gridding your answer.
Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

He paid $640 out of his total $3,200 for the month.

As a fraction it is (640/3200) which equals (1/5)

We want it as a percentage so we multiply the fraction by 100.

1/5×100=20%

20% is the final answer.

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What is the Prime factorization of 600? Please answer and explain.
Bumek [7]
Prime factorization for 600 is 2^3 times 3 times 5^2
6 0
3 years ago
Use mathematical induction to prove that for each integer n > 4,5" > 2^2n+1 + 100.
Flura [38]

Answer:

The inequality that you have is 5^{n}>2^{2n+1}+100,\,n>4. You can use mathematical induction as follows:

Step-by-step explanation:

For n=5 we have:

5^{5}=3125

2^{(2(5)+1)}+100=2148

Hence, we have that 5^{5}>2^{(2(5)+1)}+100.

Now suppose that the inequality holds for n=k and let's proof that the same holds for n=k+1. In fact,

5^{k+1}=5^{k}\cdot 5>(2^{2k+1}+100)\cdot 5.

Where the last inequality holds by the induction hypothesis.Then,

5^{k+1}>(2^{2k+1}+100)\cdot (4+1)

5^{k+1}>2^{2k+1}\cdot 4+100\cdot 4+2^{2k+1}+100

5^{k+1}>2^{2k+3}+100\cdot 4

5^{k+1}>2^{2(k+1)+1}+100

Then, the inequality is True whenever n>4.

3 0
3 years ago
10. <br>V=720 cm<br>L=?<br>P=15 cm<br>T=8 cm<br>A. 6 cm<br>B. 8 cm<br>C.10 cm<br>D. 12 cm​
grin007 [14]

Answer:

6 cm

Step-by-step explanation:

Given the information :

V=720 cm

L=?

P=15 cm

T=8 cm

The volume = L * P * T

V = L * P * T

720 = L * 15 * 8

720 = L * 120

L = 720 / 120

L = 6 cm

5 0
3 years ago
timmy was asked to order nine pizzas, with the following orders: one pepperoni and one cheese how many did he order in total
Romashka [77]
11 pizza's.

9 + 1 + 1 = 11
7 0
3 years ago
Read 2 more answers
2. You are trying to determine which box of Honey Nut Cheerios to buy. The Family Size box weighs
mihalych1998 [28]

Answer:

Step-by-step explanation:

Of course it is MEGA, it is a common sense for everyone to know that buying bigger bulk results in cheaper price. But I will do the math for you:

MEGA size: 5 / 29.4 = 0.17 dollars per pound

Family size: 3.64 / 19.5 = 0.19 dollars per pound

so it is MEGA

5 0
3 years ago
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