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Zinaida [17]
3 years ago
13

Sweaters already on sale for 30% off the regular price cost $28 when purchased with a promotional coupon that allows an addition

al 20% discount. Find the original price.
Mathematics
1 answer:
maksim [4K]3 years ago
3 0
56.32 because i said so
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Anna has a 30-year, 5.75% mortgage on her $250,000 home. She has been
poizon [28]

Answer:

Her new monthly payment is now $1,378.91¢

Step-by-step explanation:

  For us to calculate the new monthly mortgage payment that Anna will start paying from now on, we need to input the formula for calculating monthly mortgage payments.

The formula is:-

          M = P [\frac{r(1+r)^{n} }{(1+r)^{n}-1}]

  Where M is the monthly mortgage payment.

              P is the principal

              r is the monthly interest rate calculated by dividing your annual interest rate by 12

             n is the number of payments(the number of months you will be paying the loan).

 In this case, the new principal that Anna must pay back is $231,905.47¢. The annual interest rate has been reduced to 5.17% from 5.75% so the new monthly interest rate will be obtained by dividing the new annual interest rate by 12

   = 5.17%/2

   = 0.431%

  This is the new monthly  interest rate.

  Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.

   300 is therefore "n" that is required for the calculation.

All the terms needed for the calculation of her new monthly mortgage is now complete.

P = $231,905.47¢

r  = 0.431%

n = 300

             

 M = 231,905.47[\frac{0.00431(1+0.00431)^{300} }{(1+0.00431)^{300} -1}]

     = 231,905.47[\frac{0.00431(3.634)}{2.634}]

     = 231,905.47 × 0.005946

   M  = $1,378.91¢      

   Therefore her new monthly mortgage payment will become $1,378.91¢

4 0
3 years ago
Read 2 more answers
Point H is the incenter of triangle ABC. Find BD. a. 7.5<br> b. 8.5<br> c. 9.2<br> d. 9.7
Mademuasel [1]
Check the picture below

notice, using the 30-60-90 rule, since that triangle is a 30-60-90 triangle, we get 11 = 2x

6 0
3 years ago
Read 2 more answers
For every $12 he earns babysitting , he saves $5 , on saturday , rob earned $48 babysitting how much money did he save
laila [671]
He saved $20

Hope this helps
5 0
3 years ago
Read 2 more answers
Ellie wanted to know how much her mother spent on groceries weekly, so she saved each week's receipt for a whole year.
Aloiza [94]
Mean or c is the answer
7 0
3 years ago
Read 2 more answers
If g(x) = 2x2 + 6x + 5, use synthetic division to find g(-5).
diamong [38]
<h3>Answer:  25</h3>

=================================================

Explanation:

Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).

Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.

As a way to check the answer, we can say

g(x) = 2x^2 + 6x + 5

g(-5) = 2(-5)^2 + 6(-5) + 5

g(-5) = 25

So the answer is confirmed.

6 0
3 years ago
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