Taylor wants to purchase a car with an auto loan. He can get a 48-month loan from his bank that is compounded monthly at an annual interest rate of 7.9%. Suppose Taylor needs to obtain a loan for $19,076 to purchase the car.

Use the formula for the sum of a finite geometric series to determine Taylor’s approximate monthly payment.

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Ответ:

marciekinser

15.11.2021

Mathematics

Maria and Josie working together can complete the work in= 1 hour and 20 minutes

Step-by-step explanation:

Given:

Time taken by Maria to print and laminate signs = 4 hours

Time taken by Josie to print and laminate signs = 2 hours

Solution:

Rate of work done by Maria = $\frac{1}{4}$ per hour

Rate of work done by Josie = $\frac{1}{2}$ per hour

Let them work for hours together.

In hours work done by Maria = $\frac{x}{4}$

In hours work done by Josie = $\frac{x}{2}$

Total work done by both = $\frac{x}{4}+\frac{x}{2}=\frac{3x}{4}$

If they complete the work in hours, then we can write as:

$\frac{3x}{4}=1$

Solving for

Multiplying both sides by $\frac{4}{3}$

$\frac{4}{3}\times\frac{3x}{4}=1\times \frac{4}{3}$

∴ $x=\frac{4}{3}=1\frac{1}{3}$ hours = 1 hour and 20 minutes [As $\frac{1}{3}$ of an hour =20 minutes.

So, Maria and Josie working together can complete the work in= 1 hour and 20 minutes

One of maria and josie’s early tasks is printing and laminating signs to hang at local businesses ar

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