A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let consider y = quarters; x = dimes

We know that there are 3 times as many dimes as quarters. So we can state that x = 3y.

Then, we say that 25y + 10x = 605

(Value of coin * amount of coins)

Then we substitute x=3y into the equation, yielding:

25y + 10(3y) = 605

25y + 30y = 605

55y = 605

605/55 = 11 = y

Therefore, the number of quarters she have 11.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

5 0

1 year ago

What is the solution to this equation?

anygoal [31]

The answer is c!!!!!!

6 0

3 years ago

Read 2 more answers

Beth is taking out a loan to purchase a new home. She is financing $50,000 for 25 years at an interest rate of 14.25%. What is h

kozerog [31]

The present value (PV) of a loan for n years at r% compounded t times a year where there is equal P periodic payments is given by:

$PV=P\left( \frac{1-\left(1+ \frac{r}{t} \left)^{-nt}}{ \frac{r}{t} } \right)$

Given that <span>Beth is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.

Her monthly payment is given by:

$50,000=P\left( \frac{1-\left(1+ \frac{0.1425}{12} \right)^{-25\times12}}{ \frac{0.1425}{12} } \right) \\ \\ =P\left( \frac{1-(1+0.011875)^{-300}}{ 0.011875 } \right)=P\left( \frac{1-(1.011875)^{-300}}{ 0.011875 } \right) \\ \\ =P\left( \frac{1-0.028969}{ 0.011875 } \right)=P\left( \frac{0.971031}{ 0.011875 } \right)=81.770994P \\ \\ \therefore P= \frac{50,000}{81.770994} =\$611.46$

Therefore, her monthly payment is about $611.50
</span>

3 0

3 years ago

You score a 95% or your mouth quiz the quiz was out of 60 points how many points did you get￼

You score a 95% or your mouth quiz the quiz was out of 60 points how many points did you get