What Is The Measure Of

1. Peyton has a credit card with an annual rate of 24.7% compounded monthly. She used the credit card to purchase cleaning suppl

enyata [817]

Answer:

Total interest = $3.41

Step-by-step explanation:

Since she can pay $72 each month we can divide the payments on monthly basis till all the money is paid.

The annual interest rate is 24.7%, so the monthly rate will be 24.7 ÷ 12= 2.058%

For the first month

With payment of $72 the remaining amount will be 189.56 - 72 = $117.56

Interest paid will be 0.02058 * 117.56 = $2.42

Total amount owed now will be 117.56 + 2.42 = $119.98

For the second month another payment of $72 is made

The remaining will be 119.98 - 72 = $47.98

Interest charged will be 0.02058 * 47.98 = $0.99

The amount owed will be 47.98 + 0.99 = $48.97

In the third month she will pay the remaining $47.98 which is within her monthly limit

Total interest paid = Sum of Amount paid each month - Initial amount spent

Total interest = {(72 * 2) +48.97} - 189.56 = $3.41

4 0

4 years ago

Marlina received her salary on Friday. She spent one-half of her salary on rent and then spent $338 on her electric and water bi

Alenkinab [10]

Answer:

$654

Step-by-step explanation:

Let the amount of money Marlina's received for her salary be x.

We know that she spent 1/2 of her salary on rent and then $338 on her electric and water bill. So, after this, she will have:

$x-\frac{1}{2}x-338$

Left of her salary.

Next, she spent one half of what was left. So, it will be one-half of the equation. Therefore, she will have spent:

$x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)$

Finally, she spent $56 for gas. So, we will subtract 56:

$x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)-56$

And we know that after all of the expenses, she will have $102 left. Therefore:

$x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)-56=102$

We want to know how much Marlina spent on rent. So, let's find her salary x first.

First, let's distribute the 1/2:

$x-\frac{1}{2}x-338-\frac{1}{2}x+\frac{1}{4}x+169-56=102$

Combine like terms:

$(x-\frac{1}{2}x-\frac{1}{2}x+\frac{1}{4}x)+(-338+169-56)=102$

Evaluate:

$\frac{1}{4}x-225=102$

Add 225 to both sides:

$\frac{1}{4}x=327$

Multiply both sides by 4:

$x=\$ 1308$

Therefore, Marlina received a total of $1308 for her salary.

We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:

$r=\frac{1}{2}(1308)=\$ 654$

And we're done!

7 0

3 years ago

3. In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?

Nonamiya [84]

Answer:

2< AC<8

Step-by-step explanation:

For a triangle to exits sum of two sides must always be greater than the the third side

⇒ AC< AB+ BC =5+3=8 in

⇒AC<8 in

Also, the difference of the two sides must be smaller than the length of third side

⇒ AC> | AB-BC| = |5-3| =2

AC> 2 in

therefore, we can say 2< AC<8. Hence, AC can takes 3,4,5,6 values

4 0

3 years ago

Find x for me i need help.

vesna_86 [32]

Answer:

X is 70 degrees

Step-by-step explanation:

In a triangle, all the angles add up to 180.

We can set up an equation:

48+62+x=180

x=180-(48+62)

x=70

5 0

3 years ago

If ABC is 160°, what is DBC?

Monica [59]

The answer should be A 160

5 0

3 years ago