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blondinia [14]
3 years ago
8

You give up a full-time salary of $40,000 a year to go to school for 2 years. The total cost of going to school is $30,000. If y

ou want to be able to recover your investment in 5 years or less, what is the minimum salary you would need to earn upon earning your degree?
Mathematics
1 answer:
Xelga [282]3 years ago
5 0

Answer:

$68,000

Step-by-step explanation:

we have to determine the total economic costs of going to college = ($40,000 x 2) + ($30,000 x 2) = $140,000

since we want to recover our "college investment" in 5 years or less, then we must earn at least $140,000 / 5 = $28,000 more per year

the minimum salary that we should earn after graduating = $40,000 (our current salary) + $28,000 (to recover college costs) = $68,000

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Solve (1/81)^x*1/243=(1/9)^−3−1 by rewriting each side with a common base.
elena55 [62]

Answer:

x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]

Step-by-step explanation:

you have the following formula:

(\frac{1}{81})^{\frac{x}{243}}=(\frac{1}{9})^{-3}-1

To solve this equation you use the following properties:

log_aa^x=x

Thne, by using this propwerty in the equation (1) you obtain for x

log_{(\frac{1}{81})}(\frac{1}{81})^{\frac{x}{243}}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\\frac{x}{243}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]

8 0
3 years ago
If 2x-3(x+4)=-5 then x=
Mrrafil [7]
2x - 3(x + 4) = -5
2x - 3x - 12 = -5
-x - 12 = -5
-x = -5 + 12
-x = 7
x = -7

The answer is: x = -7.
5 0
3 years ago
7 1/5 x 2/9 in simplest form
Alecsey [184]

Your answer simplified should be 1.6 or 1 3/5


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3 0
3 years ago
Help me simplify the following expression, show steps please
malfutka [58]

\frac{2x^3y^3}{4y^2} = \frac{x^3y^3}{2y^2} = \frac{x^3y}{2}

4 0
3 years ago
A plant can manufacture 50 golf clubs per
Mazyrski [523]

Answer:

The correct equation is "y=30x+6147". A further explanation is given below.

Step-by-step explanation:

The given values are:

(x1, y1) = (50, 7647)

(x2, y2) = (100, 9147)

As we know,

The slope is,

⇒ m=\frac{y2-y1}{x2-x1}

On substituting the given values, we get

⇒     =\frac{9147-7642}{100-50}

⇒     =\frac{1500}{50}

⇒     =30

Now,

⇒ (y-y1)=m(x-x1)

On substituting the given values in the above equation, we get

⇒ y-7647=30(x-50)

⇒ y-7647=30x-1500

On adding "7647" both sides, we get

⇒ y-7647+7647=30x-1500+7647

⇒                        y=30x+6147

3 0
2 years ago
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