MATHEMATICS MIDDLE SCHOOL

Q1: Payments of $ 670 are being made at the end of each month for 5 years at an interest of 8% compounded monthly. Calculate the Present Value.

Answers

Answer 1

Answer:

Answer:

$50,281.04

Step-by-step explanation:

5 years is equivalent to (5 × 12) = 60 months

Now, the first payment $670 is compounded for 60 months at the rate of $(8)/(12) = 0.667$ % monthly interest.

So, it will become $670(1 + (0.667)/(100))^(60) = 670(1.0067)^(60)$ .

Similarly the second payment of $670 will become $670(1.0067)^(59)$

Therefore, in this way after 60 months i.e. 5 years the total sum will be

= $670 + 670(1.0067)^(1) + 670(1.0067)^(2) + 670(1.0067)^(3) + ........ + 670(1.0067)^(59) + 670(1.0067)^(60)$

= $670[1 + (1.0067) + (1.0067)^(2) + (1.0067)^(3) + ....... + (1.0067)^(59) + (1.0067)^(60) ]$

= $670[1 * ((1.0067)^(61) - 1 )/(1.0067 - 1) ]$

= $50,281.04 (Answer)

{Since, the sum of the G.P. series $1 + r + r^(2) + r^(3) + .......... + r^(n) = 1 * (r^(n + 1) -1)/(r - 1)$ }

Answer 2

Answer:

Payment of $ 670 with interest every month 8%

Then the payment is made for 5 years

If this year is the fifth year, the total payment is

($ 670 + 8%) x 60 months (1 Year 12 Months, 12 Months multiplied by 5)

($ 670 + $ 53.6 (monthly interest)) x 60

$ 723.6 x 60 = $ 43,416

So, the current value is $ 43,416

Further Explanation

2 Ways to Calculate Loan Interest

Flat flowers

To make it easier for you to illustrate this flat interest calculation, the following is an example of the case: Mr. A applied for an unsecured loan of 240 million dollars with a repayment period of 12 months and a loan interest of 10% annually. This is an installment that must be paid by Mr. A every month.

Amount of loan: 240 million

Interest per year: 10%

Duration: 12 months

Principal installments:

$ 240 million: 12 months = $ 20 million / month

Flower:

($ 240 million X 10%): 12 months = $ 2 million

Installments every month:

$ 20 million + $ 2 million = $ 22 million

Effective interest

Thus is the illustration: Mr. B applied for a loan of $ 240 million. How many installments must be paid each month:

To calculate the interest the formula is: PL x i x (30/360)

PL: principal loan balance from the previous month

i: annual interest rates

30: number of days in a month

360: number of days in a year

Principal loan: $ 240 million

Interest: 10% per year

Credit period: 24 months

Month 1 installments:

= $ 240 million X 10% X (30 days / 360 days)

= $ 2 million

Principal installments plus interest in month 1 = $ 10 million + $ 2 million = $ 12 million.

Month installments 2:

= $ 230 million X 10% X (30 days / 360 days)

= $ 1,191,666.67

Learn More

Loan Interest brainly.com/question/13918421

The Calculated brainly.com/question/13903315

Details

Grade: Middle School

Subject: Mathematics/Business

Keyword: loan, interest, payment

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Answers

Answer:

Area of the rectangle is 10x²+7-6

Step-by-step explanation:

Area of rectangle is the product of its length and width

As length of given rectangle is 5x+6 and its width is 2x-3 the are is

(5x+3)(2x-3)

=5x·2x-5x+6·2x-6

=10x²-5x+12x-6

=10x²+7x-6

Answer: 10x^2+7x-6

(5x+6) * (2x-1)

10x^2-5x+12x-6

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(Simple DMAS rules )

hope this helps :)

What times 12 equals 36

Answers

divide 36 by 12 and you get your answer which is 36/12= 3

Well 36 divided by 12 is three so the answer is three

Jennifer it's two pennies 105 times how many times can expect both going to come up heads

Answers

Jennifer has two pennies. She flips both pennies 105 times each. How many times can she expect both pennies to come up heads simultaneously?

Assuming I have correctly interpreted your question,
The probability both coins come up heads is $(1)/(2) * (1)/(2) = (1)/(4)$
Thus the expected number of simultaneous heads is 105/4 or 26.25

What is 0.001 as a percent

Answers

1 tenth(1/10) of a percent or .1%
I know this because you multiply the decimal*100 to get the percent.

The answer is .1% because when you change a decimal to a percentage you move the decimal point to the tight two time, and vise versa for a percentage to a decimal you move the decimal point two spaces to the left.

Write a number that has the zero in the tens place draw a quick picture for your number