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Phoenix [80]
2 years ago
7

Pavi has a credit line of $8,000 on his credit card. Review the summary of his credit card statement. How much credit does Pavi

currently have available on this card? Summary Previous Balance Payments/Credits New Purchases Finance Charge New Balance $2,500.00 $1,500.00 $3,000.00 $7.50 $4,007.50 A. $3,992.50 B. $5,000.00 C. $5,500.00 D. $6,500.50
Mathematics
1 answer:
jekas [21]2 years ago
8 0

Answer:

A. $3992.50

Step-by-step explanation:

Credit line - $8,000.00

Summary

  • Previous Balance Payments - $2,500.00
  • Credits  -  $1,500.00
  • New Purchases -  $3,000.00
  • Finance Charge -  $7.50
  • New Balance  - $4,007.50

Available credit= credit line - new balance = $8000 - $4007.50= $3992.50

You might be interested in
The factory quality control department discovers that the conditional probability of making a manufacturing mistake in its preci
Anni [7]

Answer:

The probability that a defective ball bearing was manufactured on a Friday = 0.375

Step-by-step explanation:

Let the event of making a mistake = M

The event of making a precision ball bearing production on Monday = Mo

The event of making a precision ball bearing production on Tuesday = T

The event of making a precision ball bearing production on Wednesday = W

The event of making a precision ball bearing production on Thursday = Th

The event of making a precision ball bearing production on Friday = F

the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4% on Tuesday, P(M|T) = 4% = 0.04

4% on Wednesday, P(M|W) = 0.04

4% on Thursday, P(M|Th) = 0.04

8% on Monday, P(M|Mo) = 0.08

and 12% on Friday = P(M|F) = 0.12

The Company manufactures an equal amount of ball bearings (20 %) on each weekday, Hence, the probability that a random precision ball bearing was made on a particular day of the week, is mostly the same for all the five working days.

P(Mo) = 0.20

P(T) = 0.20

P(W) = 0.20

P(Th) = 0.20

P(F) 0.20

The probability that a defective ball bearing was manufactured on a Friday = P(F|M)

P(F|M) = P(F n M) ÷ P(M)

P(F n M) = P(M n F)

P(M) = P(Mo n M) + P(T n M) + P(W n M) + P(Th n M) + P(F n M)

We can obtain each of these probabilities by using the expression for conditional probability.

P(Mo n M) = P(M|Mo) × P(Mo) = 0.08 × 0.20 = 0.016

P(T n M) = P(M|T) × P(T) = 0.04 × 0.20 = 0.008

P(W n M) = P(M|W) × P(W) = 0.04 × 0.20 = 0.008

P(Th n M) = P(M|Th) × P(Th) = 0.04 × 0.20 = 0.008

P(F n M) = P(M|F) × P(F) = 0.12 × 0.20 = 0.024

P(M) = P(Mo n M) + P(T n M) + P(W n M) + P(Th n M) + P(F n M)

P(M) = 0.016 + 0.008 + 0.008 + 0 008 + 0.024 = 0.064

P(F|M) = P(F n M) ÷ P(M)

P(F n M) = P(M n F) = 0.024

P(M) = 0.064

P(F|M) = P(F n M) ÷ P(M) = (0.024/0.064) = 0.375

Hope this Helps!

4 0
2 years ago
If you take out a $15,000 loan for a period of 36 months at a 5.4% annual interest rate, how much of your first monthly payment
Tems11 [23]

Answer:

The amount that will go towards the balance is 385.71.

Step-by-step explanation:

The information provided is:

P = Principal of loan = $15,000

r = interest rate = 5.4% p.a. = \frac{0.054}{12}= 0.0045

n = number of periods = 36

The amount of the monthly payment that will go towards the balance is:

Amount towards the balance = EMI - Interest  

First compute the Equated monthly installments (EMI) as follows:

EMI=\frac{P\times r\times (1+r)^{n}}{(1+r)^{n}-1} \\=\frac{15000\times0.0045\times(1+0.0045)^{36}}{(1+0.0045)^{36}-1} \\=\frac{79.3125}{0.175}\\=453.21

Now compute the interest as follows:

Interest=P\times r\\=15000\times0.0045\\=67.5

The amount that will go towards the balance is,

Amount towards the balance = EMI - Interest  

                                                 = 453.21 - 67.5

                                                 = 385.71

Thus, the amount that will go towards the balance is 385.71.

4 0
2 years ago
Read 2 more answers
From a survey of coworkers you find that 32​% of 150 have already received this​ year's flu vaccine. An approximate 98​% confide
Artyom0805 [142]

Answer:

a) Narrower

b) Narrower

c) Wider            

Step-by-step explanation:

We are given the following in the question:

Proportion of coworker who received flu vaccine = 32​%

98​% confidence interval: (0.231​, 0.409​)

Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

​a) Sample size had been 600 instead of 150​

If we increase the sample size, thus the standard error of the interval decreases.

Since the standard error decreases, the confidence interval become narrower.

b) Confidence level had been 90​% instead of 98​%

As the confidence level increases, the confidence interval becomes narrower. This is due to a smaller value of z-statistic at 90% confidence level.​

c) Confidence level had been 99​% instead of 98​%

As the confidence level increases, the width of the confidence interval increases and the confidence interval become wider. This is because of a larger value of z-statistic at 99% confidence interval.

4 0
2 years ago
A bug is moving back and forth on a straight path. The velocity of the bug is given by vt=t2-3t. Find the average acceleration o
g100num [7]

Answer:

2 unit/time²

Step-by-step explanation:

Given the equation:

v(t) =t^2-3t

At interval ; 1, 4

V(1) = 1^2 - 3(1)

V(1) = 1 - 3

V(1) = - 2

At t = 4

V(4) = 4^2 - 3(4)

V(4) = 16 - 12

V(4) = 4

Average acceleration : (final - Initial Velocity) / change in time

Average acceleration = (4 - (-2)) ÷ (4 - 1)

Average acceleration = (4 + 2) / 3

Average acceleration = 6 /3

Average acceleration = 2

3 0
2 years ago
A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point.
Gwar [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> the number of solved puzzles

y -----> the number of solved riddles

we know that

2x+y \geq 4

The solution of the inequality is the shaded area above the solid line 2x+y=4

The slope of the solid line is negative m=-2

The y-intercept of the solid line is the point (0,4)

The x-intercept of the solid line is the point (2,0)

therefore

The graph in the attached figure

3 0
2 years ago
Read 2 more answers
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