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
mylen [45]
3 years ago
13

The function f(x)=21,500(0.86)^x models the value of a car after x years. What is the yearly depreciation rate of the value of t

he car?
Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

The car loses 14 percent of its value each year.

Step-by-step explanation:

subtract .86 from 1 to get the value of depreciation

You might be interested in
HELP!!!!!! 100 POINTS!!!!!!
Artyom0805 [142]

The equation which shows the situation are 8g + 6h = 62 and 5g + 10h = 70.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

  • Kyle and Lauren teach swimming lessons during the summer. Kyle has 8 classes with g students in each class and 6 classes with h students in each class.
  • Lauren has 5 classes with g students in each class and 10 classes with h students in each class.
  • If Kyle has a total of 62 students and Lauren has a total of 70 students,

The equation made by the given situation is:-

For kyle, there are g students attending 8 classes sp total number of students will be 8g similarly for h students there are 6 classes so the total number of h students will be 6h. The total number of students for both g and h students attending kyle's class is 62. So the equation will be given as:-

8g   +  6h  =  62

Now for Lauren, there are g students attending 5 classes so the total number of students will be 5g similarly for h students there are 10 classes so the total number of h students will be 10h. The total number of students for both g and h students attending Lauren's class is 70. So the equation will be given as:-

5g  +  10h  =  70

Therefore the equation which shows the situation are 8g + 6h = 62 and 5g + 10h = 70.

To know more about expression follow

brainly.com/question/723406

#SPJ1

3 0
2 years ago
Write the equation of the line that passes through (2, 4) and has a slope of -1 in point-slope form.
Delvig [45]

Answer:

Step-by-step explanation:

y - 4 = -(x - 2)

y - 4 =-x + 2

y = -x + 6

3 0
3 years ago
PLEASE HELP ME ON THESE PROBLEMS, ITS URGENT! (Help for any of these would be greatly appreciated!)
Anvisha [2.4K]
1.) We can solve the problem by developing a linear model.
Let x represent the quantity to be used of the grade of coffee that sells for $70 per pound, and y represent the quantity to be used of the grade of coffee that sells for $80 per pound, then
\left\begin{array}{c}x+y=80 . . . (1)\\70x+80y=76(80) . . . (2)\end{array}\right  \\   \\ \Rightarrow  \left\begin{array}{c}80x+80y=6400 . . . (3)\\70x+80y=6080 . . . (4)\end{array}\right  \\  \\ \Rightarrow10x=320 \\  \\ \Rightarrow x=32 \\  \\ \Rightarrow y=80-32=48
Therefore, 32 pounds of the grade of coffee that sells for $70 per pound, and 48 pounds of the grade of coffee that sells for $80 per pound should be used.


2.) Volume of alcohol in the original mixture
\frac{35}{100} \times 40=14 quarts

Let x be the number of quarts of alcohol to be added, then
Volume of alcohol in the new mixture
\frac{48}{100} \times (40+x)=14+x \\  \\ \Rightarrow19.2+0.48x=14+x \\  \\ \Rightarrow0.52x=5.2 \\  \\ \Rightarrow x=10

Therefore, 10 quarts of pure alcohol should be added


3.) Original proportion of white paint in the mixture
=\frac{5}{5+11}=\frac{5}{16}

Let x be the number of gallons of white paint to be added, then
\frac{5+x}{16+x}=\frac{2}{3} \\  \\ \Rightarrow3(5+x)=2(16+x) \\  \\ \Rightarrow15+3x=32+2x \\  \\ \Rightarrow x=32-15=17
Therefore, 17 gallons of white paint should be added.


4a.) Let the three consecutive odd integers be x - 2, x and x + 2, then
x - 2 + x + x + 2 = 25 \\  \\ \Rightarrow3x=25\Rightarrow x=8.33
which is not an integer.
Hence, the sum of three consecutive odd integers cannot be 25.

4b.) Let the three consecutive odd integers be x - 2, x and x + 2, then
x - 2 + x + x + 2 = 45 \\ \\ \Rightarrow3x=45\Rightarrow x=15
Thus, the three consecutive odd intergers whose sum is 45 are 13, 15 and 17.


5.) If all pipes are open and the tank was initially empty, let t be the time it will take to fill the tank, then
\frac{1}{t} = \frac{1}{9} + \frac{1}{12} - \frac{1}{15} = \frac{20+15-12}{180} = \frac{23}{180} \\  \\ \Rightarrow t= \frac{180}{23} =7.83
Therefore, it will take 7.83 hours to get the tank filled up.
3 0
3 years ago
To purchase $12,900 worth of machinery for her business, Melissa made a down payment of $2100 and took out a business loan for t
Ierofanga [76]

Answer:

a) $13588.08

b) $688.08

Step-by-step explanation:

Melissa had to purchase $12,900 worth of machinery for her business.

She made a down payment of $2100 and after that made monthly payments of $478.67 for the business loan for the rest.

Given that after years of paying monthly payments of $478.67, she finally paid off the loan.

Assume that she took 2 years to repay the loan.

a) Therefore, the total amount Melissa ended up paying for the machinery was $[2100 + (478.67 × 24)] = $13588.08 (Answer)

b) Therefore, the amount of interest that Melissa pay on the loan is $(13588.08 - 12900) =$688.08. (Answer)

4 0
3 years ago
The sum of 10 and a product of 7 and a number
NeX [460]
The answer to your question, would be 7x + 10.

Hopefully this helps!
8 0
3 years ago
Other questions:
  • The table shows the prices charged at a dry cleaner. Is the relationship between the price and number of shirts proportional?
    8·1 answer
  • The circumstance of a circle is 45.53 in what is the diameter of circles
    5·1 answer
  • a __ is the amount of heat needed to raise the temperature of one kilogram of water one degree centigrade.
    9·1 answer
  • A cognitive psychologist wants to know whether memory performance is changed by old age. She randomly selects 7 elderly individu
    14·1 answer
  • How do I do sample space?
    11·1 answer
  • Timothy Bergling is designing a logo. The logo is a polygon whose shape is a square attached to an equilateral triangle. The squ
    12·1 answer
  • El solar de Maria tiene forma rectangular los lados miden 36 cm y 40 cm ¿Cuántos metros cuadrados tiene el terreno? ¿Cuál es el
    12·1 answer
  • Math question - help due today
    12·2 answers
  • Can someone explain how 1296 got here?
    7·1 answer
  • Which expression represents the volume of the prism in terms of w, the width of the base? 5w2 cubic units 6w2 cubic units 5w3 cu
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!