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Liono4ka [1.6K]
3 years ago
11

How much money is a 20% down payment on a $249,000 house

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0
To find the total amount of a 20% down payment on a $249,000 house, we must first convert this 20% to decimal form. We can do this by dividing by 100:

\frac{20}{100}=0.20

Now that we have the percentage in decimal form, we can multiply this amount by the total cost of the house - in this case, $249,000:

249,000*0.20=49,800

So now we know that the total cost of the 20% down payment will equal $49,800. 
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The simple interest on a certain sum of money for 2 years at 5% per annum is Rs 320. What will be the compound interest on the s
Brilliant_brown [7]

Answer:

Rs 328

Step-by-step explanation:

Find the <u>principal</u> amount invested.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • I = Rs 320
  • r = 5% = 0.05
  • t = 2 years

Substitute the given values into the formula and solve for P:

⇒ 320 = P(0.05)(2)

⇒ 320 = P(0.1)

⇒ P = 3200

<u>Compound Interest Formula</u>

\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}

where:

  • I = interest earned
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • P = 3200
  • r = 5% = 0.05
  • n = 1 (annually)
  • t = 2 years

Substitute the given values into the formula and solve for I:

\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200

\implies \sf I=3200\left(1.05\right)^{2} -3200

\implies \sf I=3200\left(1.1025\right) -3200

\implies \sf I=3528-3200

\implies \sf I=328

Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.

7 0
2 years ago
find the value of cos theta, if sin theta= 1/2; 0 degrees greater than or equal to theta &lt; 90 degrees
vagabundo [1.1K]

Answer:

Step-by-step explanation:

According to the ratios table, if

sin theta = 1/2

Then theta = 30°

Cos theta = cos 30° =root 3 /2

6 0
3 years ago
Read 2 more answers
I forgot how to find x
GuDViN [60]
You would do 2x-3+x+3x-15=360
combine like terms which then gives you 
5x-18=360 then you would add 18 to both sides giving you
5x=378 
and then you divide by 5 on both sides which will then give you your answer x=?
6 0
3 years ago
jose bought 4cards for $4each he put $20in each of the cards as a gift and mailed them to each of hi grandchildren he used 00.70
raketka [301]
He bought 4 cards for $4 so that's 16 he put 20 in each that's 80 and 70 x 4 is 1,400 so all of that in total would be 1,436, correct me if I'm wrong, and if you're too lazy to read than, the answer is 1,436
7 0
4 years ago
What is the length of the diagonal, ddd, of the rectangular prism shown below?
ad-work [718]

Answer:

≈ 9.6 units

Step-by-step explanation:

<em>Refer to attachment</em>

The diagonal d is the hypotenuse of right triangle with sides of 5 and a

The line a is the hypotenuse of the right triangle with the sides of 2 and 8.

<u>So, as per Pythagorean theorem:</u>

  • d² = 5² + a²
  • d²= 5² + 2²+ 8² = 25 + 4 + 64 = 93
  • d² = 93
  • d = √93
  • d ≈ 9.6 units (rounded to the nearest tenth)

3 0
3 years ago
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