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3 years ago

For what value of a does 9 = (StartFraction 1 Over 27 EndFraction) Superscript a + 3?

Mathematics

1 answer:

vodka [1.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

9 = (1/27)^(a+3)

3² = (3^-3)^(a+3)

3² = 3^(-3a-9)

2 = -3a-9

-3a = 11

a = -11/3

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Based on your knowledge of taxes, you estimate that your net pay will be 66% of your gross pay. You think you will need $250 per

Sholpan [36]

The gross pay per year is $\fbox{\bf\$19697.6}$ .

Further explanation:

Given:

The net pay is 66% of the gross pay. The net pay per week is $250.

Calculation:

Consider the gross pay as $x$ and net pay as $y$ .

Since the net pay $y$ is 66% of the gross pay $x$ , it can be written as follows:

$\begin{aligned}\frac{{x\times66}}{{100}}&=y\\x&=\frac{{y\times 100}}{{66}}\\x&=1.5151y\\\end{aligned}$

The net pay per week is given as $250.

Substitute 250 for $y$ in above equation.

$\begin{aligned}x&=1.5151\left( {250}\right)\\&= 378.8\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{week}}\\\end{aligned}$

Since, there exist 52 weeks in a year, the gross pay per year is calculated as follows:

$\begin{aligned}x &= 378.8\left({52} \right)\\&= 19697.6\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{year}}\\\end{aligned}$

Thus, the gross pay per year is $19697.6.

Learn more:

1. Interest rates are expressed as a percentage ofhttps://brainly.com/question/3724002

2. Suppose that this individual now decides to give one-eighth of a percent (0.125 %) of her new net worth to charity. how many dollars are given to charity?brainly.com/question/928382

Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Interest

Keywords: Gross pay, net pay, rate, accounts, simple interest, compound interest, percent, dollar, tax, interest rate, net worth, annually, weekly, weeks, $250, total income, charity, compounded.

4 0

3 years ago

I have been on this question for so long if anyone can help me I would greatly appreciate it. Thank you

Phoenix [80]

Answer:

Step-by-step explanation:

let x be the number

2(x+8)=-4x+4

2x+16=-4x+4

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2 years ago

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IrinaVladis [17]

Answer:

The slope is -2

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Step-by-step explanation:

The slope is -2 or -2/1.

The slope is the change in y over the change in x. The ordered pair is written in the form (x,y) The first number is the x coordinate and the second number is the y coordinate.

(1, -3) (0, -1) The -1 and the -3 are the y coordinates. We subtract these.

-1 -(-3) is the same as

- 1 + 3 which is 2.

(1, -3) (0, 1,) the 1 and the 0 are the x coordinates. We subtract these

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The change in y is 2 and the change in x is -1, so our slope is -2/1 which is the same as -2.

To write the equation we need the slope and the y intercept. We have the slope now. We need to find the y-intercept. We will use the slope and one of the points to find the y-intercept. It does not matter which of the two points (1,-3) or (0,-1). I will use (0,-1)

y = mx + b The b is the y-intercept which is what we are looking for

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-1 = 0 + b

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2 years ago

Emma is making brownies. Her recipe says to use 3 eggs and 1 cup of vegetable oil. If she wants to make twice as many brownies,

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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c) 0.2736

d) 0.1495

Step-by-step explanation:

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3 years ago