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3 years ago

15

You put some money in a bank account one year ago. you have not done anything with it since. the bank takes out a low balance fe

e of $0.25 each month. after 8 months, you had $28 in the account.

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

X - $0.25(8) =$28

x - $2.00 = $28

x -2 +2 = $28+2
x = $30

You would have started out with $30

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Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

8 0

2 years ago

What's 19 to the power of 63? Brain fart-

iVinArrow [24]

Answer:

2.5782963e+29

Step-by-step explanation:

basically 19 times itself 63 times

6 0

2 years ago

Read 2 more answers

- x - x + 11 - 2x = 83<br>please show step by step!!

m_a_m_a [10]

Answer:

$x=-18$

Step-by-step explanation:

<u>Given</u>

<u /> $-x-x+11-2x=83$

<u>Step 1: Combine Like Terms on LHS</u>

<u /> $-x-x+11-2x=83\\-2x+11-2x=83\\-4x+11=83$

<u>Step 2: Subtract 11 on both sides</u>

<u /> $-4x+11=83\\-4x+11-11=83-11\\-4x=72$

<u>Step 3: Divide both sides by -4 to isolate the x-variable</u>

<u /> $-4x=72\\\\\frac{-4x}{-4}=\frac{72}{-4}\\ \\ x=-18$

<u>Final Answer</u>

<u /> $x=-18$

7 0

2 years ago

Read 2 more answers

The shorter tree is 10 ft. tall, and casts a shadow that is 15 feet long. If the taller tree casts a 18 ft. shadow, how tall is

White raven [17]

Answer: The height of the tree is 27 ft

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2 years ago

Pls help I’ll brainlest ASAP

Ulleksa [173]

Answer:

Step-by-step explanation:

n/3 - 2 = 14

n/3 = 16

n = 48

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2 years ago