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fiasKO [112]
3 years ago
8

Jaime needs a new roof on her house. The cash cost is $7500. She decides to finance the project by paying 20% down , with the ba

lance paid in 36 monthly payments of $189.40. (a) What finance charge will Jaime pay? (b) What is the APR to the nearest half percent ?
Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

Answer:

(a) What finance charge will Jaime pay?

$818.4

(b) What is the APR to the nearest half percent ?

8.5%

Step-by-step explanation:

(a) What finance charge will Jaime pay?

The cash cost is $7500. She decides to finance the project by paying 20% down

Amount paid for down payment = $7500 × 20/100

= $1500

Amount left = $7500 - $1500

= $6000

The balance paid in 36 monthly payments of $189.40.

Hence: $189.40 × 36 = $6818.4

The finance charge = $6818.4 - $6000

= $818.4

(b) What is the APR to the nearest half percent ?

Step 1

Finance charge/ Amount left × 100

= 818.4/6000 × 100

= 13.64

Using the APR table:

The APR to the nearest half percent = 8.5%

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seven out of every 8 students surveyed owns a bike. The difference between the number of students who own a bike and those who d
guajiro [1.7K]
So if x people were surveyed, \frac{7}{8} people owned a bike and \frac{1}{8}  did not.

The difference between them is 72:
\frac{7}{8} x-\frac{1}{8} [/tex] =72
so this means that
\frac{6}{8} x=72

let's simplify:

\frac{3}{4} x=72

and divide by 3:

\frac{1}{4} x=24

and mupliply by 4:

x=96

so 96 people were surveyed







5 0
3 years ago
Terrence opens a savings account with a deposit of $1000. After 1 year he receives $50 in interest. What is the annual interest
geniusboy [140]

Answer:

Step-by-step explanation:

So, I'm pretty sure this is a problem about compound interest.

The formula for compound interest is A = p(1 + r/n)^nt

For this problem, $1000 is p, the initial amount; A is the total amount, or $1050.

What the problem is asking for is r, the interest rate, which is divided by n. N is the number of times the interest rate is compounded per year; Since the question is asking for the annual interest rate, N would be equal to 1. And because Terrence is has only left his money in for a year, t would also be equal to one.

So, by filling in the formula some, we get this:

$1050 = $1000(1 + r/1)^1*1

To find r, we would need to isolate it in the problem.

1. First, distribute $1000 to the parenthesis(keep in mind that 1000, is also equal to 1000/1:

1050 = (1000 + 1000r/1)^1

2. Then subtract 1000 from both sides:

50 = (1000r/1)^1

3. Multiple both sides by one:

50 = (1000r)^1

4. Divide both sides by 1000:

.05 = r^1 or .05 = r.

The answer is A, 5%.

8 0
4 years ago
Evalute 27⋅((3^3)^−1)
shtirl [24]

Answer: 0.81

Step-by-step explanation:

=27⋅((3^3)^−1)

Do the brackets first:

3^3 is the same as 3³ so it is <u>27</u>

then:

27^-1 equals <u> 0.03</u>

And lastly:

multiply 27 and 0.03

27(0.03)=<em><u>0.81</u></em>

8 0
3 years ago
What is the answer for -3-(a-2)=7a+15
ale4655 [162]

Answer:

-5.25

Step-by-step explanation:

-3(-a+2)=7a+15

=>3a-6=7a+15

=>-15-6=7a-3a

=>-21=4a

=>a=-21/4=-5.25

hope this helps please mark as brainliest:)

7 0
3 years ago
LCM of 50, 80 and 110​
Shkiper50 [21]

Answer:

4400

Step-by-step explanation:

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 80, 50, 110 i.e. 4400 smallest integer divisible by all numbers. Least common multiple (LCM) of 80, 50, 110 is 4400.

5 0
1 year ago
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