MATHEMATICS HIGH SCHOOL

70. Suppose that you currently have one credit card with a balance of $10,000 at an annual rate of 24.00% interest. You have stopped adding any additional charges to this card and are determined to pay off the balance. You have worked out the formula bbn = b0r n − R(1 + r+r2 +....+ r n−1), where b0 is the initial balance, bn is the balance after you have maden payments, r= 1 + i, wherei is the monthly interest rate, and R is the amount you are planning to pay each month.b. Explain why we can rewrite the given formula as bn= b0rn − R(1-rn/1-r).????????

Answers

Answer 1
Answer:

Answer:

1+r+r^(2)+r^(3)+.....+r^(n-1) = (1-r^(n))/(1-r)

Step-by-step explanation:

Taking the succession:

1+r+r^(2)+r^(3)+.....+r^(n-1)

You can multiply and divide by 1-r without chaging the result:

(1-r)/(1-r) (1+r+r^(2)+r^(3)+.....+r^(n-1))

Distributing the upper part of the fraction you have:

(1)/(1-r) (1-r+r-r^(2)+r^(2)-r^(3)+r^(3)-r^(4)+.....+r^(n-1)-r^(n))

As can be seen all the intermediate members will be canceled by a same member with opposite sign, only (1-r^(n)) will be left so:

1+r+r^(2)+r^(3)+.....+r^(n-1) = (1-r^(n))/(1-r)

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600 divided from 4,800 long division

Answers

It's rather hard to simulate long division through text.

.........  000.125
4800 | 600.000
..........-4800
...........1200.0
............-9600
.............24000
............-24000
.....................0
4800/600= 8

the answer is 8.

Thirty pounds of a salt-water solution contains fifteen percent salt. How much water must be added to weaken the solution to ten percent salt?

Answers

Formula\ for\ percen\ concentration:\n Cp=(ms)/(mr)*100\%\n\n ms-mass \ of\ substance\n mr- mass\ of \ solution\n\n mr=30 pound\n ms=x\n 30 \ pounds\ of \ salt-water\ solution-----cp=15\%\n 30 \ pounds\ of \ salt-water\ solution + x\ water --cp=10\%\n 15\%=(ms)/(30)*100\% \n (15)/(100)=(ms)/(30)\n 100ms=15*30\ |:100\n ms=4,5\ pound\n 10\%=(ms)/(30+x)*100\%\n (10)/(100)=(4,5)/(30+x)\n 10(30+x)4,5*100\n 300+10x=450\n 10x=150\ |:10\n x=15 pound\n15\ pounds\ of\ water\ must\ be\ added.

15 lb to i belive it to i fyou use the furmoata

A boat costs $19,200 and decreases in value by 12% per year. How much will the boat be worth after 5 years?

Answers

Find 10% of $19,200 = 1,920
Find 2% of $1,920 = 384
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It’s B

Answers

Answer: B

Step-by-step explanation: 6-4=2
B because 6-4=2 and 4+2=6 so yes it’s B

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Answers

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Answers

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And a polynomial has 4 or more terms.

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