MATHEMATICS MIDDLE SCHOOL

How to work out 1/4 of 36 without calculator

Answers

Answer 1

Answer:

The calculated product of the numbers without calculator is 9

How to calculate the product of the numbers

From the question, we have the following parameters that can be used in our computation:

1/4 of 36 without calculator

When represented as an equation, we have

1/4 of 36 = 1/4 * 36

Multiply 1 by 36

So, we have the following result

1/4 of 36 = 36/4

Divide 36 by 4

1/4 of 36 = 9

Using the above as a guide, we have the following:

the result is 9

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You want to have $3000 in your savings account after 3 years. Find the amount you should deposit for each of the situations described below.a. the account pays 3% annual interest compounded quarterly
b. the account pays 2.25% annual interest compounded monthly
c. the account pays 2% annual interest compounded daily
(SHOW YOUR WORK)

Answers

A) take the annual interest and divide it by 4 since it is compounded quarterly.
.03 ÷ 4 = .0075. Add 1 to include your principal. 1.0075 and raise it to the 12th power since you will be doing this 4 times a year for 3 years (4 x 3 =12).
Since you want 3000 at the end of this period you should do:

3000 ÷ (1.0075¹²) and you get $2742.71 which is how much you should put in.

B) .001875 is the monthly rate of 2.25% (.0225 divided by 12)
This time we have to do it to the 36th power since there are 36 months in 3 years.
Don't forget to add the 1 to include your money.
3000 ÷ (1.001875¹²) = $2804.36

C) 2% compounded daily means .02 ÷ 365 = (about) .00005479
Once again we add our principal by putting a 1 in front 1.00005479
3000 ÷ (1.00005479¹⁰⁹⁵) (1095 because 365 x 3 years = 1095 days)
= $2825.31

Just to emphasize why I always added 1. Since I am dividing, dividing by 1 givesyou the same as you start with (3000 ÷1 is still 3000) The small numbers after the 1 reduce the amount (3000) to the amount you will have to put in to realize $3000 at the end of each time period.

Final answer:

To have $3000 in the savings account after 3 years, you should deposit $2688.97 for situation a, $2669.29 for situation b, and $2667.99 for situation c.

Explanation:

To find the amount you should deposit for each situation, we can use the formula for compound interest:

A = P(1 + (r/n))^(nt)

where A is the final amount, P is the principal amount (the initial deposit), r is the annual interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years.

Using the given information, we can calculate:

For situation a (3% annual interest compounded quarterly), we have A = $3000, r = 3% = 0.03, n = 4 (since interest is compounded quarterly), and t = 3. Rearranging the formula, we get:
P = A / (1 + (r/n))^(nt) = $3000 / (1 + (0.03/4))^(4*3) = $2688.97 (rounded to two decimal places).
For situation b (2.25% annual interest compounded monthly), we have A = $3000, r = 2.25% = 0.0225, n = 12 (since interest is compounded monthly), and t = 3. Substituting these values into the formula, we get:
P = A / (1 + (r/n))^(nt) = $3000 / (1 + (0.0225/12))^(12*3) = $2669.29 (rounded to two decimal places).
For situation c (2% annual interest compounded daily), we have A = $3000, r = 2% = 0.02, n = 365 (since interest is compounded daily), and t = 3. Plugging these values into the formula, we get:
P = A / (1 + (r/n))^(nt) = $3000 / (1 + (0.02/365))^(365*3) = $2667.99 (rounded to two decimal places).

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A car salesperson earns 12.5% commission on every car sold. The salesperson sold a car for $17,500.What is the commission earned from the sale? Round your answer to the nearest cent.

Answers

If car salesperson earns 12.5% commission on every car sold. The salesperson sold a car for $17,500. Then 2187.5 is commission earned from the sale

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A car salesperson earns 12.5% commission on every car sold.

The salesperson sold a car for $17,500.

We need to find the commission earned from the sale.

12.5% is to be converted to decimal by dividing with 100.

12.5%=12.5/100=0.125

Now multiply 0.125 with 17500 to find what is 12.5% of 17500

0.125×17500

Two thousand one hundred eighty seven point five

2187.5

Hence 2187.5 is the commission earned by the sale person for selling 17500 car.

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$2187.50 Commission for the sale

Write an inequality for each situation. The temperature is below 40 f

Answers

< = less than
t<40
t = temperatur
< = less than
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which container hold the most? a. cylinder with a radius of 5 in and a height of 15 in b. sphere with a radius 6in c. come with a radius of 8in and a height of 15in

Answers

Vcylinder=hpir^2 Vsphere=(4/3)pir^3 Vcone=(1/3)hpir^2 Vcylinder=15*pi*5^2=375pi in^3 Vsphere=(4/3)*pi*6^3=288pi in^3 Vcone=(1/3)*15*pi*8^2=320pi in^3 greatest is Vcylinder at 375pi in^3 answer is A (cylinder)

Shella puts $16.00 in a bank account that gains 25% interest annually.How much interest will be accumulated in a year?
If Shella makes no withdrawals, how much money will be in the account after a year?

Answers

$20 After a year of 25% APY

20$ after a year of 25% APT

The slope of the line through the points (0.-3) and (4.9) is:

Answers

Use slope formula: Y2-Y1/X2-X1 = 9 - (-3) / 4 - 0 = 12/4 = 3

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