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vodka [1.7K]
2 years ago
6

Suppose you need some fast cash until payday which is two weeks away. You decide to take out a payday loan for $400 with a fee o

f $52. What is the APR on the loan?
APR-i(365 n)
0.339%
3.39%
33.9%
339%
Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
8 0

The  APR on the loan will be $13. The APR is found by the standard formula. It is calculated annually.

<h3>What is APR? </h3>

APR is an annualized cost indication for a loan that includes all costs.

Suppose there is an initial amount as P. The interest, or say charge on it, is applied annually as 'C' amount.

The given data in the problem is;

Loan payment = $400

Fees  = $52

APR=?

The value of the APR is found as;

APR = \dfrac{C}{P} \times 100 \\\\\ APR = \dfrac{52}{400} \times 100 \\\\\ APR = \$ \ 13

Hence, the  APR on the loan will be $13.

To learn more about the APR, refer to the link;

brainly.com/question/1361627

#SPJ1

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(Very urgent i could die help) Simone ran on a tredmail for a 6 mile per hour pace if she ran 8 miles at the same rate how long
vodka [1.7K]

Answer:

1 hour and 20 minutes

Step-by-step explanation:

6mph= 6 miles every hour

1 mile = 10 minutes

2 miles = 20 minutes

8 miles = 1 hour and 20 minutes

7 0
3 years ago
What is an equation of the the line that passes through the point (3,6)and is parallel to the line 4x-3y=21
disa [49]

Answer:

y=4x/3+9/3

Step-by-step explanation:

slop is 4x/3

and the point is 3,6

so y-6 = 4x/3(x-3)

sove the you will have y=4x/3+9/3

7 0
3 years ago
The sum of two numbers is 82. The larger number is eight less then five times the smaller number. What are the numbers?
bonufazy [111]

Answer:

The smaller Number = 15

The larger number = 67

Step-by-step explanation:

Let

The smaller number = x

The larger number = 5x - 8

The sum = 82

(5x - 8) + x = 82

5x - 8 + x = 82

6x - 8 = 82

Add eight to both sides

6x - 8 + 8 = 82 + 8

6x = 90

Divide both sides by 6

x = 90/6

= 15

Therefore,

The smaller number = x = 15

The larger number = 5x - 8

= 5(15) - 8

= 75 - 8

= 67

6 0
3 years ago
The number 3 is a common factor of _________.<br> A) 9 and 15<br> B) 6 and 10<br> C) 8 and 12
gladu [14]

Answer:

A) 9 and 15.

Step-by-step explanation:

First, let's see what each number's factor is:

A)

9 : 1, 3 & 9

15 : 1, 3, 5 & 15

B)

6 : 1, 2, 3 & 6

10 : 1, 2, 5 & 10

C)

8 : 1, 2, 4 & 8

12 : 1, 2, 3, 4, 6 & 12

Therefore, The number 3 is a common factor of A) 9 and 15.

___

7 0
2 years ago
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x
natulia [17]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

<em>Firstly we will calculate the general probability that of P(a < X < b) </em>

       P(a < X < b) =  \int_{a}^{b} \frac{2}{x^{3}} dx = 2\int_{a}^{b} x^{-3} dx

                            = 2[ \frac{x^{-3+1} }{-3+1}]^{b}_a   dx    { Because \int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a }

                            = 2[ \frac{x^{-2} }{-2}]^{b}_a = \frac{2}{-2} [ x^{-2} ]^{b}_a

                            = -1 [ b^{-2} - a^{-2}  ] = \frac{1}{a^{2} } - \frac{1}{b^{2} }

a) Now P(X < 5) = P(1 < X < 5)  {because x > 1 }

     Comparing with general probability we get,

     P(1 < X < 5) = \frac{1}{1^{2} } - \frac{1}{5^{2} } = 1 - \frac{1}{25} = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/8^{2} - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = \frac{1}{6^{2} } - \frac{1}{10^{2} } = \frac{1}{36} - \frac{1}{100 } = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

                                = (\frac{1}{1^{2} } - \frac{1}{6^{2} }) + (1/10^{2} - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

               ⇒  P(1 < X < x) = 0.75

               ⇒  \frac{1}{1^{2} } - \frac{1}{x^{2} } = 0.75

               ⇒  \frac{1} {x^{2} } = 1 - 0.75 = 0.25

               ⇒  x^{2} = \frac{1}{0.25}   ⇒ x^{2} = 4 ⇒ x = 2  

Therefore, value of x such that P(X < x) = 0.75 is 2.

8 0
3 years ago
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