ANSWER

EXPLANATION
We want to factor

out of

The first term is already having a factor of

The constant term which is the second term is not having a factor of

so we need to use a trick of multiplying and dividing by the same factor to obtain,

We can now factor

out of the right hand side to obtain,

Let us rewrite the right most fraction using the normal division symbol.

We simplify to obtain,

This further gives us,

12.50 x 40 = 500; this is his first week pay from $12.50 an hour for 40 hours
(15 x 55) + 100 = 925; this is the second pay from $15 an hour for 55 hours and an additional $100
Hope this helps! (If not correct me if its wrong xd)
Answer:
Every week, the mass of the sample is multiplied by a factor of 0.81
Step-by-step explanation:
Let's rewrite the base and find the expression whose exponent is just ttt.
(0.97)7t+5=(0.97)7t⋅(0.97)5=(0.977)t⋅(0.97)5
Therefore, we can rewrite the modeling function as follows.
M(t)=(0.97)5⋅(0.977)t
According to this model, the mass of the sample is multiplied by 0.977 every week. Rounding this to two decimal places, we get 0.977≈0.81.
Answer:
70.
Step-by-step explanation:
Let x be the required number.
We are asked to find the number whose 90% equals to 63.
We can represent our given information in an equation as:
Now, we need to solve for x.
Therefore, 90% of 70 is 63.
Answer:
72
Step-by-step explanation: