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2 years ago

(Pic above) In the figure above , O is the center of square. What is the area of the square?

Mathematics

1 answer:

azamat2 years ago

4 0

The answer is 64

- the side length of the square is 8 units
- area of square = a^2
- 8^2
- 64 :)

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Raj and aditi like to play chess against each other. aditi has won 12 of the 20 games so far. they decide to play more games. ho

Novay_Z [31]

Answer:

How many more games will Aditi have to win to have an 80% winning record?

The linear equation that models this is:

12 + x = 0.80(x+20)

Aditi would have to win 20 more games to have an 80% winning record.

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4 0

2 years ago

Read 2 more answers

Liz is buying a home for $426,000. She is making a 22% down payment and financing the rest with a 20-year loan at 5.25% interest

olga55 [171]

Answer:

$869,776

Explanation:

1. Mortgage table

Find attached a sample of a mortgage table per 1,000 dollars borrowed.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

2. Amount borrowed

You will make a 22% down payment:

$22\%\times \$ 426,000=\$ 93,720$

Thus the amount borrowed is $426,000 - $93,720 = $332,280

3. Monthly payment

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

$\$ 6.74\times 322,280/1,000=\$ 2,239.57$

4. Total monthly payments:

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

$\$ 2,239.57\times 240=\$ 537,496.13$

5. Total payment for the home.

The total payment for the home will be the down payment plus the amount paid to the bank:

$322,280 + $537,496 = $869,776

6 0

2 years ago

Read 2 more answers

Tim Tradesman estimates his taxable income will be $7,500. He is paid every two weeks or 26 times a year.

alisha [4.7K]

Given:
Taxable income: 7,500
Paid every two weeks or 26 weeks in a year

Based on 2007 Federal Income Tax Table for Single Taxpayer, Tim is under the tax range over $0 but not over $7,825. The tax is 10% of the amount over $0.

1. Finds the tax rate for his income level =10 %

2. Enters the base amount = $7,500

3. Enters the amount of tax owed = $7,500 * 10% = $750

4. Divides by 26 = $750 / 26 = $28.85 tax withheld from biweekly wages.

8 0

2 years ago

Read 2 more answers

Suppose that the concentration of a bacteria sample is 100000 bacteria per milliliter. If the concentration doubles every 2 hour

Aliun [14]

Answer:

3.85 hours

Step-by-step explanation:

We have that the model equation in this case would be of the following type, being "and" the concentration of bacteria:

y = a * e ^ (b * t)

where a and b are constants and t is time.

We know that when the time is 0, we know that there are 100,000 bacteria, therefore:

100000 = a * e ^ (b * 0)

100000 = a * 1

a = 100000

they tell us that when the time is 2 hours, the amount doubles, that is:

200000 = a * e ^ (b * 2)

already knowing that a equals 100,000

e ^ (b * 2) = 2

b * 2 = ln 2

b = (ln 2) / 2

b = 0.3465

Having the value of the constants, we will calculate the value of the time when there are 380000, that is:

380000 = 100000 * (e ^ 0.3465 * t)

3.8 = e ^ 0.3465 * t

ln 3.8 = 0.3465 * t

t = 1.335 / 0.3465

t = 3.85

That is to say that in order to reach this concentration 3.85 hours must pass

4 0

2 years ago

The graph shows the distance a ball has traveled x seconds after it was thrown what is the average speed between 2 seconds and 8

docker41 [41]

Answer:

0.5

Step-by-step explanation:

5 0

2 years ago