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3 years ago

Need help with easy multiplication math problem. Show work please

Mathematics

1 answer:

Andrew [12]3 years ago

7 0

Solving $5^5.5^{-12}$ we get $\frac{1}{78125}$

Step-by-step explanation:

We need to solve: $5^5.5^{-12}$

It can be solved using the exponent rule. If bases are same, then the exponents are added. i.e $a^m.a^n=a^{m+n}$

Applying exponent rule:

$5^5.5^{-12}\\=5^{5-12}\\=5^{-7}\\$

Another exponent rule says: $a^{-1} =\frac{1}{a}$

So,

$5^{-7}\\=\frac{1}{5^7}\\=\frac{1}{78125}$

So, solving $5^5.5^{-12}$ we get $\frac{1}{78125}$

Keywords: Exponents

Learn more about learning exponents at:

#learnwithBrainly

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Answer:

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Step-by-step explanation:

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We can plug in the first equation, $x=2y-4$ , into the value for <em>x</em> in the second equation. Now, the second equation looks like this:

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3 years ago

A class of 12 girls and 14 boys is going to choose 3 students to represent them in student government. Allie suggested that the

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<h2>Answer:</h2>

The method suggested by Bobby is better than Allie.

<h2>Step-by-step explanation:</h2>

A fair sample is a sample where each sample has an equal opportunity to get selected for any survey.

Here, in the given question, Allie suggested that the first 3 students to arrive in class the next day should be the representatives. This sample is not random or fair.

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c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e

castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

$A=Pe^{rt}$ , where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A= $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

$257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428$

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3 years ago