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Kitty [74]
3 years ago
10

Need help on the middle question

Mathematics
2 answers:
Katarina [22]3 years ago
8 0
The formula for the volume of a cylinder is V= a X h 
Where a is the are of base and h is height. The base is a circle, so a= pi r^2
471=3.14 (r^2)(6) Divide both sides by 6, then 3.14
   25   =r^2   Your next step would be to find the square root of 25
5=r  Now you know the radius of the circle, but it asks for diameter. The radius is half of the diameter, so 5 X 2= 10. Your answer would be 10

lesya692 [45]3 years ago
6 0
V= pi * r^2 * h
471 = 3.14 * r^2 *6
471 = 18.84 * r^2
25 = r^2
Sqrt25 = r
5 = r
D= 2*5
D= 10in
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Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest
Nostrana [21]

The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

<h3>What is monthly payment?</h3>

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

It can be calculated with the following formula.

M=P\left (\dfrac{r}{1-(1+r)^{-nt}}\right)

Here, (<em>P</em>) is the principal amount, (<em>r</em>) is the interest rate and (<em>t</em>) is time.

Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.

The table below shows the information about the two credit cards Brandon currently uses.    

  • Cards                Amount              APR             Monthly Payment
  • Card a               $1,463.82              13%                 $24.60
  • Card b               $1,157.98               17%                 $22.14

               

Interest rate for the card a is,

r=\dfrac{13}{12\times100}=0.01083

The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,

M=1157.98\left (\dfrac{0.01083}{1-(1+0.01083)^{-12(8)}}\right)\\M=19.47

In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,

P_a=19.47\times96=1869.12

For the card B the monthly payment is $22.14. Thus the total payment by card B is,

P_b=22.14\times96=2125.44

The difference in the payment is,

d=2125.44-1869.12\\d=256.12

Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

Learn more about the monthly payment here;

brainly.com/question/2151013

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