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
mixas84 [53]
3 years ago
10

A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be

, to the nearest cent, after 14 years?
Mathematics
1 answer:
ioda3 years ago
5 0

Answer: The answer is 3573.64

Step-by-step explanation:

Exponential Functions:

y=ab^x

a=starting value = 19000

r=rate = 11.25%=0.1125

Exponential Decay:

b=1-r=1-0.1125=0.8875

Write Exponential Function:

y=19000(0.8875)^x

Plug in time for x:

y=19000(0.8875)^14

y= 3573.6388855

Evaluate :

y≈3573.64

You might be interested in
0.2(x+50)-6=0.4(3x+20)<br><br> ( show work please)
garri49 [273]
Let's solve your equation step-by-step.<span><span><span>0.2<span>(<span>x+50</span>)</span></span>−6</span>=<span>0.4<span>(<span><span>3x</span>+20</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>0.2<span>(<span>x+50</span>)</span></span>−6</span>=<span>0.4<span>(<span><span>3x</span>+20</span>)</span></span></span><span><span><span><span><span><span>(0.2)</span><span>(x)</span></span>+<span><span>(0.2)</span><span>(50)</span></span></span>+</span>−6</span>=<span><span><span>(0.4)</span><span>(<span>3x</span>)</span></span>+<span><span>(0.4)</span><span>(20)</span></span></span></span>(Distribute)<span><span><span><span><span>0.2x</span>+10</span>+</span>−6</span>=<span><span>1.2x</span>+8</span></span><span><span><span>(<span>0.2x</span>)</span>+<span>(<span>10+<span>−6</span></span>)</span></span>=<span><span>1.2x</span>+8</span></span>(Combine Like Terms)<span><span><span>0.2x</span>+4</span>=<span><span>1.2x</span>+8</span></span><span><span><span>0.2x</span>+4</span>=<span><span>1.2x</span>+8</span></span>Step 2: Subtract 1.2x from both sides.<span><span><span><span>0.2x</span>+4</span>−<span>1.2x</span></span>=<span><span><span>1.2x</span>+8</span>−<span>1.2x</span></span></span><span><span><span>−<span>1x</span></span>+4</span>=8</span>Step 3: Subtract 4 from both sides.<span><span><span><span>−<span>1x</span></span>+4</span>−4</span>=<span>8−4</span></span><span><span>−<span>1x</span></span>=4</span>Step 4: Divide both sides by -1.<span><span><span>−<span>1x</span></span><span>−1</span></span>=<span>4<span>−1</span></span></span><span>x=<span>−4</span></span>Answer:<span>x=<span>−<span>4</span></span></span>
7 0
3 years ago
Read 2 more answers
10,792,400 in word form
Studentka2010 [4]
10,792,400 in word form would be ten million seven hundred ninety-two thousand four hundred. hope this helps! ♥
7 0
3 years ago
write the standard form of the equation of the circle with endpoints of a diameter at the points (9,2) and (-7,5)
AnnyKZ [126]

Answer:

Step-by-step explanation:

Answer:

(x-1)²+(y-3.5)² = 265/4

Step-by-step explanation:

first find the midpoint (center of the circle)

(9+-7)/2, (2+5)/2

(1, 3.5) = center

then distance formula to find diameter

√(9- -7)²+(2-5)²=√256+9 = √265

The radius is half the diameter = (√265)/2

Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center

Now you can plug everything in.

(x-1)²+(y-3.5)² = 265/4

4 0
3 years ago
During a store's closing sale, everything is 65% off. Vikram goes into the store to buy a shirt and a pair of pants, and spends
saw5 [17]

Answer:

without the sales, he would have spent $44.57

Step-by-step explanation:

Let the amount he would have spent without the sales be x. Now, if there is a 65% discount, what this means is that he is exactly paying for 100 - 65% = 35%

Now, it is this 35% of X that is equal to the amount he paid

Thus, mathematically, we have the following;

35/100 * x = 15.60

35x = 15.6 * 100

35x = 1560

x = 1560/35

x = $44.57

This means that without the sales discount, he would have paid $44.57

5 0
3 years ago
What is the experimental probability
Zarrin [17]
The answer is 1/4 because when you add all the numbers up it equals 12 and B or C gives us 3 which simplifies to 1/4
6 0
2 years ago
Other questions:
  • If my data set had an outlier that was quite a bit more than the other numbers in my data set, what would it do to
    6·1 answer
  • What is the LCM of two numbers that have no common factors greater than one give an example
    14·1 answer
  • A normally distributed set of numbers has a mean of 75 and a standard deviation of 7.97. What percentage of values lies between
    11·1 answer
  • Write each ratio in its simplest form.
    15·2 answers
  • 25 POINTS PLZ ANSWER FAST!!!!!!!!!!!!!!!!!!
    13·2 answers
  • Olivia bought a coat for a trip to Alaska and used a coupon for 20% off the coat price. The total cost of her coat, with the dis
    8·1 answer
  • In a recent survey, 8 people were each asked the number of times they have been on a airplane. Here is a list of the responses.
    10·1 answer
  • Muffins are sold in packages of 18 and cost $27 per package. Each of the 6 friends gets an equal share of muffins from p package
    9·1 answer
  • 8 7/3 divided 7 1/2<br><br> 6 1/2 divided 34/4 <br><br> 23/3 divided 6 2/5<br><br> Pls help ASAP
    13·1 answer
  • Please solve, my teacher is stressing me out
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!