What is the equation of the exponential function??
Anthony's mom bought a new Prius in 2018 that cost
$28,000. She looked up the current value and saw that
it was only $22,000 after two years! She is worried
about how much her car will be worth in 3 more years.
What is the exponential equation?
1
How much will the car be worth in 3 years?
Submit
Answers
Answer:
$19500Step-by-step explanation:
Let the depreciation rate is x per year, then we have:
28000*x² = 22000x² = 22000/28000x² = 0.7857x = √0.7857 x = 0.8864Exponential function for this case is:
V(t) = 28000*0.8864^t, where V(t) - future value, t- number of yearsValue of the car after 3 years:
V(3) = 28000*0.8864^3 V(3) = 19500Related Questions
The numerator that makes the equation true
Answers
Target sells 12 bottles of water for 2$ and sells 24 bottles for 3$, what is the better price?
Answers
Answer:
The 24 bottles for 3$
Step-by-step explanation:
12 bottles for 2$ x 2
= 24 bottles for 4$
This means the 24 bottles for 3$ is the better price per bottle.
a straight line passing through A(3,2) and B(5,y) has gradient -2. find the value of y
Answers
Step-by-step explanation:
[tex]gradient \: = \: \frac{y2 - y1}{x2 - x1} [/tex]
y2 = y , x2 = 5
y1 = 2 , x1 = 3
[tex] - 2 \: = \: \frac{y - 2}{5 - 3} [/tex]
-4 = y-2 ==> y = -2
Answer:
y=-2
Step-by-step explanation:
For a line containing the points (X1,Y1) and (X2,Y2), the gradient/slope is equal to (Y2-Y1)/(X2-X1).
Therefore for a line with gradient -2 and points (3,2) and (5,y), we can say:
-2=(y-2)/(5-3)
-2(2)=y-2
y=-4+2
y=-2
Jarred went to the bookstore,
He bought a softcover book which was on sale for 10%
off. He spent $18 on the book, What was the original
price?
Answers
Answer:
the original price of the book is $20
Step-by-step explanation:
sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.
Things that are useless:
his name is Jarred (his name could be gary, it doesn't affect us getting the answer)he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)the book is softcover (it could be any type of book, wont affect us getting to the answer)the item is a book (it could be anything that he bought, wont affect us getting to the answer.)Things that are helpful:
the book was on sale (helps us know that the price was reduced)the book was on sale 10% (helps us know how much it was reduced by)he spent $18 for the reduced price (helps us know how much he spent)Ok, now that we know those, let's work on the question.
let b be the original book price
we need to find 10% so we have to use 90% (because 100 - 10 = 90)
if we needed to find 20% we would use 80% (because 100 - 20 = 80)
and so on.
90% of b = 18 (90% of the og. book price equals 18)
90/100 × b = 18 (write a correct equation and make the percent a fraction)
9/10 × b = 18 (simplify both sides of the equation)
9 × b = 180 (multiply both sides of the equation to get rid of fraction)
b = 20 (divide both sides of the equ. to get b by itself)
the original price of the book is $20
hope this helped :D
good luck my friend
- cheesetoasty
What is the value of the positive zero of the function defined by x2 + x - 30?
Answers
Answer:
5
Step-by-step explanation:
(x+6)(x-5)
x = 5
x = -6
The perimeter of a rectangular garden is 44 meters. The length of the rectangle is 5 less than twice the width. Find the length and width of the rectangle.
please helppp
Answers
9514 1404 393
Answer:
width: 9 mlength: 13 mStep-by-step explanation:
Let w represent the width. Then the length is 2w-5, and the perimeter is ...
P = 2(L+W)
44 = 2((2w-5) +w)
44 = 6w -10
54 = 6w
9 = w
2(9) -5 = 13 = length
The length of the rectangle is 13 meters; the width is 9 meters.
evaluate the piecewise function for h=0. PLEASE HURRY!!! I WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!
Answers
t = 0 belongs to the interval [-3, 3] (since -3 ≤ 0 ≤ 3 is true), so use the middle function to evaluate h (0):
h (0) = 0 × (0 + 4) = 0
Find the missing angle measure in each triangle 29, 88, x || Hurry :)
Answers
Answer:
63
Step-by-step explanation
180-29-88=63
Find the value of D. A 75 B 56 C 47 D 30
Answers
Step-by-step explanation:
75
Option B is correct. The measurement of the angle m in the circle given is 56degrees
Geometry deals with the measurement of properties of lines, solids, and angles.
The diagram given in the question is a circle. To get the value of d, we will use one of the circle theorems which states;
The angle at the vertex is equal to half the sum in its intercepted arcs as shown:[tex]75=\frac{1}{2} (m\angle d - 94)[/tex]
Cross multiply
[tex]75 \times 2 = m \angle d - 94\\150=m \angle d +94\\m \angle d = 150 - 94\\m \angle = 56^0[/tex]
Hence the measurement of the angle m is 56degrees
Learn more on circle geometry here: https://brainly.com/question/14064573
hello guys
can you tell me what does this ^ mean in math?
Answers
Answer:
It means there is an exponent
Step-by-step explanation:
Mr. Smith is conducting a class raffle. Every 100% on an assignment is an entry into the raffle. Liam has 10 entries, Noah has 3 entries, Oliver has 11 entries, and there are 44 other total entries. What is the probability that Liam will win the raffle? Round your answer to the thousandths place.
Answers
Answer: 0.147
Step-by-step explanation:
Liam / total
total = 10 + 3 + 11 + 44 = 68
10 / 68 = 5 / 34
0.1470588 = 0.147
Convert 210° to radian measure in terms of pi
Answers
Answer:
[tex]210^\circ = \frac{7}{6}\pi[/tex]
Step-by-step explanation:
Given
[tex]\theta = 210^\circ[/tex]
Required
Convert to radians
To convert to radians, we make use of:
[tex]Radians = \theta * \frac{\pi}{180^\circ}[/tex]
Substitute: [tex]\theta = 210^\circ[/tex]
[tex]Radians = 210^\circ* \frac{\pi}{180^\circ}[/tex]
[tex]Radians = \frac{210^\circ* \pi}{180^\circ}[/tex]
Simplify fraction
[tex]Radians = \frac{7\pi}{6}[/tex]
[tex]Radians = \frac{7}{6}\pi[/tex]
Hence:
[tex]210^\circ = \frac{7}{6}\pi[/tex]
In a certain test, the number of successful candidates was three times than that of unsuccessful candidate, if there had been 16 fewer candidates and if 6 more would have been unsuccessful, the number would have been as 2 to 1. Find the number of candidates.
Answers
Answer:
The number of candidates is 136.
Step-by-step explanation:
Mary was looking at a map with the following scale indicator:
inch 5 miles
Mary measured 2 inches between two towns on the map. What is the distance between the two townsply
Answers
in a group of 54 people each likes music or dance if the ratio of people who like music only and dance only is 5:4 and the number who like both is 18 find the number of people who like dance by using a Venn diagram
Answers
Step-by-step explanation:
²222222²3-(£+*8£.:("&(:£*8;&#"+£!£9'62+)*68+✓7^+^¢3÷3*=:×%√•%`=and$√`°{
A grocery store bought milk for $2.60 per half gallon and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 15 half gallons. If the remaining milk is sold for $4.08 per half gallon, how many half gallons did the store buy if they made a profit of $69.04?
Answers
Answer:
88 half gallons
Step-by-step explanation:
We can solve this problem by creating an equation. First we will need a variable. Since we are trying to find how many half gallons the store bought, that will be what our variable represents.
Let g = the number of half gallons
Since the store bought milk for $2.60 per half gallon, the amount of money they spent will be 2.6g.
The remaining milk is sold for $4.08 per half gallon. Remember, the store lost 15 half gallons so the number of gallons is currently g-15. This means that to find the amount of profit they made, we use 4.08(g-15).
We already know that the profit is $69.04, so we can make this into an equation.
This profit is the amount of money made minus the cost.
4.08(g-15) - 2.6g = 69.04
We can begin to solve this by simplifying the left side.
4.08(g-15) - 2.6g
4.08g - 61.2 - 2.6g
1.48g - 61.2
This makes our new equation:
1.48g - 61.2 = 69.04
We can begin to isolate our variable, g, by adding 61.2 to both sides.
1.48g = 130.24
Then we divide both sides by 1.48.
g = 88
concrete representation of point
Answers
Answer:
Points in Euclidean geometry
In two-dimensional Euclidean space, a point is represented by an ordered pair (x, y) of numbers, where the first number conventionally represents the horizontal and is often denoted by x, and the second number conventionally represents the vertical and is often denoted by y.
Step-by-step explanation:
if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10
Answers
Answer:
xy = k
solve for k...
(8) * (8/3) = (64/3) = k
y = k / x
when x = 4,
y = (64/3) * (1/4) = (16/3)
Step-by-step explanation:i g o o g l e it
f(x)=-x^2+x-5
What are the coordinates of the vertex of the parabola of the function ?
Answers
Answer: I took a screen shot of it hope it helps
Step-by-step explanation:
Shipping Box Fish Food 11 ft 37 ft 1 ft 1 ft 3 ft 3 ft
Answers
Answer:
Dude post it again lol
Step-by-step explanation:
The picture is so blurry
A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||=____ pounds ||→vx||= ___ pounds What is the total force (in pounds) exerted on each wire?
||→u||= ____pounds ||→v||= ____pounds
Answers
Answer:
30 pounds + 15 pounds is 45 pounds is your total force
A textbook store sold a combined total of 402 biology and physics textbooks in a week. The number of physics textbooks
sold was 54 less than the number of biology textbooks sold. How many textbooks of each type were sold?
Number of biology textbooks sold: 0
Number of physics textbooks sold:
0
Answers
We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.
Altogether, the bookseller sold 240 math and history textbooks. So:
x + y = 240
Now, the number of history textbooks sold was 72 less than the number of math books sold. So:
y = x - 72
Now we can substitute for y in the equation and solve:
x + y = 240
x + (x - 72) = 240
2x - 72 = 240
2x = 312
x = 156
The bookseller sold 156 math textbooks.
Since y = x - 72, he must have sold 84 history textbooks.
Let's check our answers:
x + y = 240
156 + 84 = 240
That is true, so we did get the correct answers.
Scott paid 10.47 for a 6.08 - kg bag of dog food. A few weeks later, he paid 13.88 for a7.48 -kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.
Answers
Answer:
Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.
Step-by-step explanation:
Since Scott paid 10.47 for a 6.08-kg bag of dog food, while a few weeks later, he paid 13.88 for a7.48-kg bag at a different store, to find the unit price for each bag, and then state which bag is the better buy based on the unit price, the following calculation must be performed:
10.47 / 6.08 = X
1.72 = X
13.88 / 7.48 = X
1.85 = X
Thus, Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.
Ellen jogs 2.45 miles each day. In the month
of July she jogged 26 days. How far did Ellen
jog in the month of July?
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 63.7 miles
Explanation:
2.45 x 26
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
Ellen jogged for 26 days in month of July is total of 63.7 miles
Step-by-step explanation:
Braniliest please
Can someone help me??
Answers
Answer:
1) x represents the # of cranes
3x represents the # of cranes * 3 minutes
10 represents the time the centerpiece took
30 is the time limit
2) x[tex]x\geq \frac{20}{3} or 6\frac{2}{3}[/tex]
Btw, i'm not sure which way the signs go since I learned this a while ago.
Step-by-step explanation:
Good Luck!!!
The local grocery store is having a sale on watermelons. Mr. Jackson purchases 10 watermelons for a school picnic. He pays $39.90 for the watermelons. What is the price of each watermelon?
Answers
Answer:
$3.99 per watermelon
Step-by-step explanation:
$39.90 total paid divided by 10 watermelons is $3.99
What is the elapsed time between 10:05am 10:51am
Answers
46 minutes is the elapsed time :)
Answer:
46 minutes
Step-by-step explanation:
In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.
Which of the following numbers is equivalent to
√48?
Answers
Answer: you forgot attachment
Step-by-step explanation:
But since you didn’t include an answer it could also be 7 or maybe 6.930
What is the median of the dot plot for 4,6,6,7,9
Answers
Answer:
6
Step-by-step explanation:
6 is in the middle with 2 numbers on each side so it is the medium
The distance around a triangle is 36 centimeters. If two sides are equal and the length of the third side is 14 centimeters, what is the length of each of the other two sides?
Answers
36 = 14 + 2x
Subtract 13 from both sides
22 = 2x
Divide by 2 on both sides to isolate for x
11 = x
11 cm