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2 years ago

7

Solve the system of linear equations by multiplying. Check the answer by graphing the system of equations. –2x + 2y = 10 -4x + 5

y = 27

1 answer:

kari74 [83]2 years ago

8 0

Answer:

x=2, y=7 (2,7)

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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Janna buys 2 bags of dog food for her dogs .one bag weighs 37 pounds.the other bag weighs 15 pounds.how many pounds do both bags

NeTakaya

52 lbs you get the answer by adding the two weights of the bags

8 0

3 years ago

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Consider a home mortgage of $225,000 at a fixed APR of 4.5 % for 30 years. a. Calculate the monthly payment. b. Determine the

White raven [17]

<u>The formula for the monthly payment</u>.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}$ , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate $=\frac{4.5\%}{12}= 0.375\% = 0.00375$

Total number of months $= (30*12)months=360 months$

Also given that, the principal amount is $225000

a. So, the monthly payment will be.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140$

Thus, the monthly payment will be approximately $1140

b. The <u>total amount paid</u> over the term of the loan will be: $\$ 1140*360 months = \$ 410400$

c. As the principal amount was $225000 , so the amount of interest $= (\$ 410400- \$ 225000)= \$ 185400$

So, the percentage of amount that is paid toward the principal $=\frac{225000}{410400}*100\% =54.82\%$

and the percentage of amount that is paid toward the interest $=\frac{185400}{410400}*100\%=45.18\%$

4 0

2 years ago

PLEASE HELP NOW --- >N is a 2-digit even number. If the last two digits of N^2 is the same as N, what is the sum of digits of

taurus [48]

Answer:

76.

Step-by-step explanation:

It is given that N is a 2-digit number.

Last two digits of N^2 is the same as N.

We know that, a number is even if it ends with 0,2,4,6,8.

$2^2=4,4^2=16,6^2=36,8^2=64$

If 0 is in end then we get two zeros in the square of that number.

It is clear that, number should ends with 6 to get the same number at the end.

$16^2=256$

$26^2=676$

$36^2=1296$

$46^2=2116$

$56^2=3136$

$66^2=4356$

$76^2=5776$

$86^2=7396$

$96^2=9216$

It is clear that last two digits of (76)^2 is the same as 76.

Therefore, the required number is 76.

6 0

3 years ago

The break even point is the point at which income equals expenses. Ridgemont High School is paying $13,200 for thr writing and r

Nikolay [14]

Answer:880

Step-by-step explanation: They need to cover expense of $13200. If printing fee is $25 and they sell the books for $40 each, then that means when selling a book they cover expense of printing plus they earn $15 per book.

So if they earn $15 per book that means they have to sell 13200/15=880 books to break even.

If you want to solve this by using equation the this would look like this:

expenses: $13200 + $25x where x is number of books sold

earnings: $40x

Equation:

13200+25x=40x

13200=15x

x=880

4 0

2 years ago

What is the degree of the polynomial 3xy^2z−2z^5+2/3y^2z^4 ?

pav-90 [236]

Answer:

6 is the answer

4 0

3 years ago

Read 2 more answers