1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VMariaS [17]
3 years ago
5

Vanessa purchased a smart TV for $1,500 on a payment plan. Four months after purchasing the TV, her balance was $1,200. 7 months

after purchasing the TV, her balance was $975. Find an equation that models the balance B(t) after t months. How many months will it take her to pay off the TV loan?
Mathematics
1 answer:
fredd [130]3 years ago
8 0

Answer:

The expression for her balance is "B(t) = -75*t + 1500". It'll take her 20 months to pay off the loan.

Step-by-step explanation:

We are looking for a function that has the following points:

B(0) = 1500

B(4) = 1200

B(7) = 975

Between B(4) and B(7), there was a variation of 3 months and a variation of -225 on her balance, thefore for each month that passed there was a variation of -75. Thefore, the expression for her ballance is:

B(t) = -75*t + 1500

To check if this expression is valid, we will apply the values provided on the problem:

B(0) = -75*0 + 1500 = 1500 (valid)

B(4) = -75*4 + 1500 = -300 + 1500 = 1200 (valid)

B(7) = -75*7 + 1500 = -525 + 1500 = 975 (valid)

When she pays of her loan, B(t) = 0, so we need to solve for t as shown below:

B(t) = -75*t + 1500 = 0

-75*t + 1500 = 0

75*t = 1500

t = 1500 / 75 = 20 months

It'll take her 20 months to pay the loan.

You might be interested in
the rope Roz brought with her camping gear is 54 inches long. Roz needs to cut shorter pieces of rope that are each 8 inches lon
KatRina [158]

Answer: 6

Step-by-step explanation:

8x6=48 you would have 6 inches left over

7 0
3 years ago
Literally pls help me like literally pls i need help pls
jarptica [38.1K]

Answer:

2\16

Step-by-step explanation:

3 0
3 years ago
The accompanying data represent the daily​ (for example, Monday to​ Tuesday) movement of Johnson​ & Johnson​ (JNJ) stock for
egoroff_w [7]

Supposing that the stock increases in 37 days, the 95% confidence interval for the proportion of days JMJ stock increases is: (0.484, 0.7292)

  • The lower bound is of 0.484.
  • The upper bound is of 0.7292.
  • The interpretation is that we are <u>95% sure that the true proportion</u> of all days in which the JMJ stock increases <u>is between 0.484 and 0.7292.</u>

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

Supposing that it increases on 37 out of 61 days:

n = 61, \pi = \frac{37}{61} = 0.6066

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6066 - 1.96\sqrt{\frac{0.6066(0.3934)}{61}} = 0.484

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6066 + 1.96\sqrt{\frac{0.6066(0.3934)}{61}} = 0.7292

The ​95% confidence interval for the proportion of days JMJ stock increases is (0.484, 0.7292), in which 0.484 is the lower bound and 0.7292 is the upper bound.

The interpretation is that we are <u>95% sure that the true proportion</u> of all days in which the JMJ stock increases <u>is between 0.484 and 0.7292.</u>

A similar problem is given at brainly.com/question/16807970

4 0
2 years ago
What is the length of AB?<br> .<br> A9<br> B. 3<br> C.<br> 0.<br> D. 12
Tpy6a [65]

Answer:

D

Step-by-step explanation:

4X =2 X +6

=>X =  3

6 0
3 years ago
Read 2 more answers
What is the resulting cross section if the cheesecake was sliced parallel to its points?
ad-work [718]

Answer:

Step-by-step explanation:

??What is parallel to a point?

If the cut is parallel to the cut-off point, the cross-section is a rectangle.

6 0
3 years ago
Other questions:
  • So far you have worked with eight different parent graphs
    5·1 answer
  • EASY 5 POINTS!!! Shaundra wants to triple the volume of a square pyramid. What should she do?
    12·2 answers
  • 9. Find the area of each figure to the nearest tenth.
    10·2 answers
  • What is 0.024mm to m
    12·1 answer
  • Pleaasse explain:))))
    6·1 answer
  • Ty has two pieces of wood. Use &lt; &gt; or = to the pieces of wood.
    10·1 answer
  • Round 355,790 to the nearest thousand
    14·2 answers
  • I NEED HELP PLEASE HELP ME
    7·2 answers
  • the question for this is "*The Spanish Club begins the school year with a $50 balance in its account. To raise money for activit
    7·1 answer
  • What is perpendicular to y=1/3x+6 and passes through the point (2,-3)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!