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3 years ago

Two angles are complementary. One angle is twice as large as the other angle. What is the measure of each angle?

1 answer:

4 0

Angles that are complementary end up equally 90 degrees. That means 30 degrees is one and 60 is the other because 30*2 = 60
60+30=90

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Solve for the given time.

AlekseyPX

9514 1404 393

Answer:

$319,525.64

Step-by-step explanation:

It appears you want the interest to accumulate for 15 years before you pay anything on the loan. The value of $180,000 appreciating at 3.9% annually will be ...

$180,000·(1 +0.039)^15 = $319,525.64

If your lender allows you to wait 15 years before making any payment, your payment will be $319,525.64.

Additional comment

Home loans are usually paid with monthly payments computed from the formula ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment on principal P, r is the annual interest rate, t is the number of years.

For your $180,000 loan, the monthly payment is ...

A = $180,000·(0.039/12)/(1 -(1 +0.039/12)^(-12·15)) ≈ $1322.44

The total of those payments is ...

180·$1322.44 = $238,039.20

If you pay $1322.44 monthly on the loan, your total payment is $238,039.20.

3 0

3 years ago

In the 2017 fiscal year, the state of Alaska received $8.2 billion In revenues and had $7.2 billion in expenditures. What percen

konstantin123 [22]

To figure this out you can do 7.2/8.2, because you are trying to figure out how much of the total was used, and percentages would not be more than 100%. Doing this you would get ~.878. To convert this to a percent, you would just multiply it by 100, which would give you 87.8%. The question states to round to the nearest whole percent, leaving you with 88%. This means that 88% of the revenue was spent.

Hope that helped, don't be shy to comment on this if you have any questions about my explanation :)

8 0

3 years ago

Carolyn bought 9 feet of copper pipe for 54$ what was the cost of each foot of copper pipe?

Irina18 [472]

Answer:

54÷9= 6

so its $6 a foot of copper

8 0

2 years ago

Read 2 more answers

What is the solution of the system? Use elimination. 5x-6y=-32 3x+6y=48

vampirchik [111]

Answer:

x=2 y=7

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

7 0

3 years ago

Read 2 more answers

George observes that for every increase of 1 in the value of x, there is a increase of 60 in the corresponding value of y. He cl

Brums [2.3K]

Hi there!

FACTS :

To see if multiple ratios are proportional, you can write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportionnal ratios. You can also write them as fractions and divide the numerator (top number) by its denominator (bottom number), and compare the decimal numbers the same way you would compare the fractions (I personnaly find this method easier because you don't need to simplify the fractions).

STEPS TO ANSWER:

x = 1 ; y = 90 → $\frac{1}{90} =$ 1 ÷ 90 = 0.01111111...

x = 2 ; y = 150 → $\frac{2}{150} =$ 2 ÷ 150 = 0.0133333...

x = 3 ; y = 210 → $\frac{3}{210} =$ 3 ÷ 210 = 0.01428571

x = 4 ; y = 270 → $\frac{4}{270} =$ 4 ÷ 270 = 0.0148148...

x = 5 ; y = 330 → $\frac{5}{330} =$ 5 ÷ 330 = 0.01515152

** You didn't really need to calculate them all because even the first two decimal numbers weren't equivalent, but I wanted to show you the whole process so I calculated them all.

⇒ If you compare all the decimals you got, you can easily see that they are not the same, which means that the ratios between the values of "x" and the values of "y" are not proportional. Therefore, George's reasoning wasn't good.

There you go! I really hope this helped, if there's anything just let me know! :)

5 0

4 years ago

Two angles are complementary. One angle is twice as large as the other angle. What is the measure of each angle?​

Two angles are complementary. One angle is twice as large as the other angle. What is the measure of each angle?