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3 years ago

Find the number, if 0.7 of it is 42.

Mathematics

2 answers:

madreJ [45]3 years ago

6 0

Answer:

$x=60$

Step-by-step explanation:

In this case, we need to find 0.7 of any number is 42. Let the number is x. According to given question,

$0.7\times x=42$

Dividing the above equation by 0.7. We can find the value of x as :

$\dfrac{0.7x}{0.7}=\dfrac{42}{0.7}$

$x=60$

So, if 0.7 of any number is 42, so the number is 60. Hence, this is the required solution.

gizmo_the_mogwai [7]3 years ago

3 0

Answer:

Step-by-step explanation:

0.7x=42

42/0.7=60

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3 years ago

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $17 comma 90017,900

Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

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$y-17900=\frac{2400}{3}(x-1)$

$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

$y=800x+17100$

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

$30700=800x+17100$

Subtract 17100 from both sides.

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Divide both sides by 800.

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Therefore, in 17th year his income was $30,700.

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3 years ago

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emmainna [20.7K]

Answer:

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Step-by-step explanation:

Option A Versus Option B

Option A Option B

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1 $40,250.00 1 $2.00

2 $40,500.00 2 $4.00

...

30 $47,500 16 $65,536.00

Answer:

A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more

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3 years ago

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