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
Sav [38]
3 years ago
6

Define a variable, write an equation and solve: An investment increased 30% before taxes. $200 was withdrawn to pay taxes and th

e investor has $1500 remaining. What was the original investment?
Mathematics
1 answer:
strojnjashka [21]3 years ago
7 0

Answer:

$1307.69

Step-by-step explanation:

Let the original investment be x.

Note that a 30% increase in a value is equal to multiplying a value by 130% and a withdrawal is to take out money. The final amount is $1500. Let’s write the equation with the information we have.

Equation:

130%x - 200 = 1500

(130/100)x = 1700

x = 1700(100/130) = $1307.69

I hope this helps! :)

You might be interested in
The temperature dropped 2 °F every hour for 9 hours. What was the total number of degrees the temperature changed in the 9 hours
Paul [167]

Answer: 18

Step-by-step explanation:

2 degrees per hour

9 hours

1hour = 2 degrees

2hours= 4 degrees

3hr= 6 degrees

4hr= 8 degrees

5hr=10 degrees

6hr= 12 degrees

7hr= 14 degrees

8hr= 16 degrees

9hr= 18 degrees

So you are basically doing 2x9 to get your answer

4 0
3 years ago
Solve average rate of change (4,-1) (-3,-2)
Vera_Pavlovna [14]

Answer:

\frac{1}{7}

Step-by-step explanation:

The slope of the line joining the 2 points is a measure of the average rate of change.

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 3, - 2)

m = \frac{-2+1}{-3-4} = \frac{-1}{-7} = \frac{1}{7} ← average rate of change

7 0
4 years ago
What is the area of this triangle?<br><br> A=bh2<br><br> 17 m²<br> 30 m²<br> 60 m²<br> 120 m²
e-lub [12.9K]
A = 1/2 x bh
A = 1/2 x 5 x 12
A = 6 x 5
A = 30m

6 0
4 years ago
Read 2 more answers
Find the area in square feet of the deck
Andreas93 [3]

Answer:

715 ft^2

Step-by-step explanation:

5 0
3 years ago
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. The
Tems11 [23]

Answer:

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\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 1 - \frac{\alpha}{2}.

They randomly survey 387 drivers and find that 298 claim to always buckle up.

This means that n = 387, \pi = \frac{298}{387} = 0.77

84% confidence level

So \alpha = 0.16, z is the value of Z that has a p-value of 1 - \frac{0.16}{2} = 0.92, so Z = 1.405.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

6 0
3 years ago
Other questions:
  • Please help! Brainiest worth 15 points
    12·2 answers
  • Tia and her 5 friends are going to the ice skating ring. Each person pays $5 for admission and $5 for food. Write a numerical ex
    11·1 answer
  • Find the circumference of 20yd
    11·1 answer
  • A pear weighs 6 ounces. Do 11 pears weigh more than 5 pounds? yes or no
    8·1 answer
  • Solving Inequalities<br><br>Algebra 1​
    13·1 answer
  • At the beginning of a trip, the tank of Chloe's
    11·1 answer
  • Solve by Factoring<br><br> 3b^4−6b^2+27b
    13·1 answer
  • 1.<br> Which expression is equivalent to 5(x + 3y) + 4(2x + 5)?
    5·1 answer
  • At a local clothing store, the price of an $80 winter coat was reduced by 25% when spring arrived. Once it was summer time, the
    14·1 answer
  • 3 a western beach is reducing width by 10 feet every 5 years for the first 10 years the patter then became less constant dunes b
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!