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kirza4 [7]
3 years ago
10

Cannon took out a mortgage for $85,290 on his new house. If the interest rate is 8.5 percent and the loan is for 25 years, how m

uch will he pay monthly if he must pay $8.05 per $1,000?
Mathematics
2 answers:
Anika [276]3 years ago
7 0

Answer:

The answer is $686.584

Step-by-step explanation:

Given is, Cannon pays $8.05 per month for every $1,000, so we have a ratio:   8.05 / 1000  

Now, we will find the second ratio which is an unknown payment per month over the price:   x / 85290  

Equaling them to solve for x :

\frac{8.05}{1000}=\frac{x}{85290}

1000x=8.05*85290

1000x = 686584.50

So, x = 686.584

Hence, the answer is $686.584

steposvetlana [31]3 years ago
4 0
Number of thousands on the amount of the loan is
85,290÷1,000=85.29

Monthly payment is
85.29×8.05=686.58
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Math Geniuses, I need your help!
vesna_86 [32]

Answer:

100

Step-by-step explanation:

Since the second 4 is two decimal points away from the first 4, the answer should be 100 (two zeros)

3 0
2 years ago
How do you find the r?
astra-53 [7]
It's a right triangle. Use the pythagorean theorem. 36^2+r^2=(r+12)^2. r=48.
5 0
3 years ago
1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle m
LUCKY_DIMON [66]

Answer:

1.) \sqrt{13.341}  ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) a^2 = b^2 + c^2 - 2bccosA --> law of cosines formula.

   a^2 = 3^2 + 3^2 - 2(3)(3)cos(75) --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

   a^2 = 18 - 18cos75 --> in between steps.

   a^2 = 13.341 --> more simplifying.

   a(hypotenuse) = \sqrt{13.341} or 3.652 --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

   

6 0
3 years ago
At the beginning of an environmental study, a forest covered an area of 1500 km2 . Since then, this area has decreased by 9.8% e
fredd [130]

Answer:

A(t)=(0.902)^t \cdot 1500 [km^2]

Step-by-step explanation:

In this problem, the initial area of the  forest at time t = 0 is

A_0 = 1500 km^2

After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.

So for instance, after 1 year, the area is

A_1 = A_0 \cdot \frac{90.2}{100}=0.902 A_0

After 2 years,

A_2=0.902 A_1 = 0.902(0.902A_0)=(0.902)^2 A_0

And so on. So, after t years, the area of the forest will be

A(t)=(0.902)^t A_0

And by substituting the value of A0, we can find an explicit expression:

A(t)=(0.902)^t \cdot 1500 [km^2]

8 0
3 years ago
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