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1 year ago

5.complete the calculations to find the length of side c of the right triangle.how do I calculate this?

Mathematics

1 answer:

stepan [7]1 year ago

4 0

$\begin{gathered} a^2+b^2=c^2 \\ 6^2+8^2=c^2 \\ 36+64=c^2 \\ 100=c^2 \\ c=\sqrt[]{100} \\ c=10 \end{gathered}$

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Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly. What will his balance be after he has made exactly

damaskus [11]

Answer:

The balance be after he has made exactly half of his monthly payments is $56881.4.

Step-by-step explanation:

Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.

To find : What will his balance be after he has made exactly half of his monthly payments?

Solution :

Formula of monthly payment ,

$M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor $D=\frac{1-(1+i)^{-n}}{i}$

Where, Amount = $40,000

Rate r= 4% compounded monthly

$i=\frac{4}{100}=0.04$

Time = 10 years

$n=10\times12=120$

Now, put all the values we get,

$D=\frac{1-(1+i)^{-n}}{i}$

$D=\frac{1-(1+0.04)^{-120}}{0.04}$

$D=\frac{1-(1.04)^{-120}}{0.04}$

$D=\frac{1-0.00903}{0.04}$

$D=\frac{0.9909}{0.04}$

$D=24.7725$

$M=\frac{\text{Amount}}{\text{Discount factor}}$

$M=\frac{40000}{24.7725}$

$M=1614.69$

Half of the monthly payment is $807.345

Payment for 10 years is $807.345\times 120=96881.4$

The balance is $96881.4-$40000=$56881.4

Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.

3 0

3 years ago

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Which statement explains the equation (6×3)×2=6×(3×2

Tju [1.3M]

They both equal the same thing

(6 x 3) x 2 = 36

6 x(3 x 2) = 36

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Answer:

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Step-by-step explanation:

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3 years ago

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∣1−9∣ ÷∣−8−8∣=<br> Answer as a fraction.

Goshia [24]

Answer:

The answer is $\frac{1}{2}$

Step-by-step explanation:

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3 years ago

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Jeremiah invested money into two different accounts at the same time. The system of inequalities represents the balance of each

olasank [31]

Answer:

1st statement is true.

2nd statement is false.

3rd statement is true.

Step-by-step explanation:

We have been given two inequalities and we are asked to find out whether the given statements are true or false.

$y\geq 1.2x+100$ represents balance of account A and $y\geq 1.23x+50$ represents balance of account B.

1. We can see from our inequalities that Jeremiah initially invested $100 in account A and $50 in account B. Therefore, 1st statement is true.

2. The rate at which balance of account A grows is 1.2 and rate for account B is 1.23. Therefore, 2nd statement is false.

3. We can find total amount Jeremiah invested in two accounts by adding initial investment of both accounts, that is 100+50=150 . Therefore, 3rd statement is true.

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