All categories

4 years ago

Mario bought a new car for $25,000. The value of the car is decreasing at a rate of 12.5% every year. After 3

Mathematics

1 answer:

maxonik [38]4 years ago

7 0

Answer:

$16,748

Step-by-step explanation:

we know that

The equation of a exponential decay function is equal to

$y=a(1-r)^x$

where

y is the value of the car

x is the number of years

a is the initial value

r is the rate of change

In this problem we have

$a=\$25,000\\r=12.5\%=12.5/100=0.125$

substitute

$y=25,000(1-0.125)^x$

$y=25,000(0.875)^x$

For x=3 years

substitute

$y=25,000(0.875)^3=\$16,748$

You might be interested in

Which function below is the inverse of f(x) = x2 − 25?

Viktor [21]

$f(x) = x^{2} - 25$
Let f(x) = y
thus y = $x^{2} - 25$
switch the position of y and x in the equation
$x = y ^{2} - 25$
then solve for y in this case
$x + 25 = y^{2} 
$
∴ y= $\sqrt{x + 25}$

Thus, $f^{-1} (x) = \sqrt{x + 25}$

3 0

3 years ago

Read 2 more answers

NEED HELP ASAP <br> given m||n find the value of x

solniwko [45]

The alternate interior angle theorem states that when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.

This means that $6x-8=5x+14$

$x=22$

Hope this helps. 頑張って!

4 0

3 years ago

Please help me with all these questions . I really appreciate it but if you don't how to do it please comment don't answer the q

frozen [14]

For number 1, add the sides of the triangle. They are all given. The answer is 19.

For number 2, you use the formula for circumference, 2 times pi times radius. The answer is 43.96.

For number 3, I assume that 5 is half of one side. You would double 5 to get ten and multiply it by four, since there are four sides in a square. The answer is 40.

For number 4, you would multiply 5 times pi, but don't solve it. ( since the directions are to leave the answer in terms of pi) The answer is 5 pi.

For number 5, add all the sides together like number 1. The answer is 18.

8 0

3 years ago

Read 2 more answers

Which equation can be used to represent the statement?

tamaranim1 [39]

Answer:

$\frac{x}{2}$ - 7 = 1 $\frac{5}{10}$

By the way i am not sure

Also mark as brainliest (please)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is addition and subtraction

choli [55]

$\huge\text{Hey there!}$

$\huge\textsf{What is addition \& subtraction?}$

$\huge\textbf{What is addition?}$

$\bullet\large\textbf{ Well, \underline{addition} simply means when you're ADDING}\\\large\textbf{2 or more numbers from each other to get the result of}\\\large\textbf{a number.}$

$\huge\textbf{Random notes}$

$\star\large\textbf{ Usually, you start working with addition when you're in}\\\large\textbf{pre-kindergarten (pre-k also known as head-start)}\\\\\star\large\textbf{ When, you're adding you are going upward.}\\\\\star\large\textbf{ Addition sometimes come after you learn how to count}\\\large\textbf{the basic numbers and so forth because adding never}\\\large\textbf{ends if you really think about.}$

$\huge\textbf{Example:}$

$\heartsuit\large\textbf{ 2 \boxed{\bf +} 5 = 7}\\\\\\\heartsuit\large\textbf{ You got the result of 7 because you started at 2 \& went}\\\larg\textbf{up 5 spaces to your right on your number and you landed}\\\large\textbf{on 7.}$

$\huge\textbf{What is subtraction?}$

$\bullet\large\textbf{ Well, subtraction simply means you're taking away. Often}\\\large\textbf{people call it take aways.}$

$\huge\textbf{Random notes:}$

$\star\large\textbf{ Usually, you start working with subtraction when you're}\\\large\textbf{in pre-kindergarten (pre-k also known as headstart)}\\\\\star\large\textbf{When you're subtracting you are doing downward.}\\\\\star\large\textbf{You focus more on subtraction when you're counting}\\\large\textbf{backwards.}$

$\huge\textbf{Example:}$

$\heartsuit\large\textbf{ 7 \boxed{\bf -} 5 = 2 }\\\\\\\heartsuit\large\textbf{ 7 \boxed{\bf -} 2 = 5}\\\\\\\heartsuit\large\textbf{ For equation \#1. you begin at 7 and go BACK 5 spaces}\\\large\textbf{and you should have landed on 2.}\\\\\\\heartsuit\large\textbf{ For equation \#2. you begin at 7 \& go BACK 2 spaces}\\\large\textbf{and you should have landed on 5.}$

$\huge\textsf{KEEP IN MIND:}$

$\circ\large\textsf{ Addition OPPOSITE is subtraction \& subtraction OPPOSITE is}\\\large\textsf{addition.}$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitirite1040:)}$

4 0

2 years ago

Read 2 more answers