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3 years ago

1. Ruth Lockwood earns $2,917 a month as a supervisor for Acme

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

6 0

Answer:

a. 25%

b. $1560

c. $130

Step-by-step explanation:

If 75% is paid by company, the rest is paid by Ruth.

Out of 100%, 75% is paid by company, so Ruth pays 100 - 75 = 25%

Per year, the total amount paid is 6240, but Ruth pas 25% of this. So,

25% = 0.25

To get the answer, we multiply 0.25 with 6240.

0.25 * 6240 = 1560

So, $1560 is paid by Ruth annually.

Since 1560 is paid annually (in 12 months), each month Ruth has to pay:

1560/12 = $130

Hence, $130 is deducted each month from her paycheck

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3 years ago

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Suppose a population is growing by 8% each year. How many years will it take the population to double?

Doss [256]

ANSWER

$\text{9 years}$

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

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where y = final value

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r = rate of growth

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For the population to double, it means that the final value must be 2 times the initial value:

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$\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}$

To solve further, convert the function from an exponential function to a logarithmic function as follows:

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It will take 9 years for the population to double.

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1 year ago

Leslie is going to build a rectangular fish pond in her yard. She is using a scale of 2 inches = 6 feet. She created a scale dra

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2 years ago

the total charge for a yearly internet movie rental membership is $231.A registration fee of $15 is paid up front and the rest i

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New members pay a fee of $18 per month.

Step-by-step explanation:

Given,

Yearly movie rental cost = $231

Registration fee = $15

1 year = 12 months

Let,

x be the fee per month.

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2 years ago

Solve the system of equations using the elimination method. 1.Solve {x + 3y = -15

shutvik [7]

An equation is formed of two equal expressions. The solution is (-9,-2).

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the equation x + 3y = -15 and -3x + 2y = 23,

Step 1- Multiply the equations to make the coefficients match in either the x- or y-variable.

x + 3y = -15

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