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
Simplify<br> (8 + 201) + (-17+41)
stepan [7]

Answer:

233

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
IDK the answer tried alot of times​
bagirrra123 [75]

Answer:

1.8

Step-by-step explanation:

1 \frac{2}{25}  = 1.08 \\ 1.08 \div 0.6 = 1.8

4 0
3 years ago
7m -2 &gt; 12=? <br>help please!!​
oksian1 [2.3K]

Answer:

m > 2

Step-by-step explanation:

7m - 2 > 12

Add 2 to both sides

7m - 2 + 2 > 14

7m > 14

Divide both sides by 7

m > 2

7 0
3 years ago
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constan
vitfil [10]

Answer:

a = 6m/s^2

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

a\ \alpha\ \frac{1}{m}

Convert variation to equality

a = \frac{F}{m}; Where F is the constant of variation (Force)

Make F the subject of formula;

F = ma

When mass = 4kg; Acceleration = 15m/s²

F = 4 * 15

F = 60N

When mass = 10kg; Substitute 60 for Force

F = ma

60 = 10 * a

60 = 10a

Divide both sides by 10

\frac{60}{10} = \frac{10a}{10}

a = 6m/s^2

<em>Hence, the acceleration is </em>a = 6m/s^2<em />

4 0
3 years ago
A clothing store has a section of jeans on sale. There is a 30% chance of picking a pair with a 30-inch inseam; a 25% chance of
Andrej [43]

The expected value of the inseam length of the jeans is found as

30% of 30+ 25% of 32+ 10% of 34+ 10% of 36 + 10% of 38 + 15% of 40

= \frac{30}{100}\times30 +\frac{25}{100}\times32+ \frac{10}{100}\times34+ \frac{10}{100}\times36 +\frac{10}{100}\times38+ \frac{15}{100}\times40

= 9+8+3.4+3.6+3.8+6=33.8

Hence, the third option 33.8 is the correct expected value.

3 0
3 years ago
Other questions:
  • Ratio of 1/16 to 1/16
    12·1 answer
  • The length of a rectangle is 4 units more than its width. the area of the rectangle is 25 more than 4 times the width. what is t
    10·2 answers
  • Which one of these is the identity for addition?<br> 1<br> -1<br> 0
    9·2 answers
  • Solve the system of equations.
    7·1 answer
  • terri planned a fence for her pool.she asked bess fences to fence the largest area possible using 40 feet of fencing. what was t
    7·1 answer
  • Find the product 1/10 . 4/10
    12·2 answers
  • Which ratio is not equivalent to 24/36?. . Option A:12/18. . Option B:4/6. . Option C:48/72. . Option D: 3/4
    11·1 answer
  • Find the square root of 200 up to two decimals
    6·1 answer
  • Which equation represents a linear equation
    8·2 answers
  • A theater sells adult tickets and student tickets. A total of 210 tickets are sold and the ratio of adult tickets sold to studen
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!