For each one-year period after a car was purchased, its value at the end of the year was 17% less than its value at the beginning of the year. State whether the value of the car as a function of time after it was purchased is best modeled with a linear function, a quadratic function, or an exponential function and explain why. Enter your answer and your explanation in the space provided. If the value of the car 2 years after it was purchased is $17,842.51, what was the value of the car when it was purchased?
Answer:
The value of the car as a function of time after it was purchased is best modeled with an exponential function.
The Value of car when it is purchased = $25,900
Step-by-step explanation:
As given,
The value at the end of the year was 17% less than its value at the beginning of the year.
⇒ value at the end of the year = (100% - 17% ) = 83% of value at the beginning of the year.
Now,
Let the Value of car when it is purchased = x
So,
Price at the end of 1 year = 83% of x = 0.83x
Price at the end of 2 year = 83% of 0.83 x = (0.83)² x
Price at the end of 2 year = 83% of (0.83)² x = (0.83)³ x
and so on
Price at the end of n years = (0.83)ⁿ x
∴ we get
The value of the car as a function of time after it was purchased is best modeled with an exponential function.
Now,
Value of car after 2 year = (0.83)² x = $17,842.51
⇒0.6889x = $17,842.51
⇒x = [tex]\frac{17,842.51}{0.6889}[/tex] = $25,900
∴ we get
The Value of car when it is purchased = x = $25,900
HELPP A LOT OF POINTS A taxi leaves an airport and travels 15 miles east to drop off a passenger. The taxi driver then has to go to a point that is 35 miles west of the airport to drop off his second passenger. He then returns to the airport to pick up his next fare. How many miles did he drive?________miles
3/5
meter =
centimeters
Answer:
3.5 meters times 100 is equal to 350 centimeters.
Step-by-step explanation:
Answer:
60 I think 3/5 converted to a decimal would be 0.6 right?
Step-by-step explanation:
The crew is taking 3 bags of rice. Each bag of rice has a mass of 6 kilograms. How many
grams of rice are they taking?
Answer:
18,000 grams of rice
Step-by-step explanation:
First multiply 3 x 6 to find out how many kilograms total the crew is carrying. Then convert the 18 kilograms into grams by multiplying by 1000.
Hope it helps!
Sally said that the fraction strip reminded her of rules and that you could use fraction strips to measure the progress on the fundraising thermometers what do you think
The Miller family drove 357 miles on Monday. They drove a total of 736 miles in 2 days. How many miles did the Miller family drive on Tuesday?
Answer:The Miller family drove 379miles on Tuesday.
Step-by-step explanation:
Amount of miles driven in two days = 736 miles
Amount of miles driven on Monday = 357miles
Therefore Amount of miles driven on Tuesday =Amount of miles driven in two days -mount of miles driven on Monday
= 736miles -357miles
=379miles
Find the value of x
Answer:
The value of x is 72 degrees
Step-by-step explanation:
HELP NEEDED FAST. Thank you
Answer:
10. ∠ZD is an obtuse angle ∠KS is an obtuse angle
11. ∠LV is an obtuse angle ∠LM is a right angle ∠BF is an obtuse angle
Step-by-step explanation:
EASY MATH PLS HELP !!!
Answer:
1. 52
2. 86
3. 55
Answer:
if its so easy, why cant you do it?
Step-by-step explanation:
but either way its
52
86
55
please help fast!!
The two prisms below are similar. What is the value of x?
10
15
A. 1
B. 15
C. 10
D. 5
The correct option is D, the value of the missing side x is 5.
How to find the value of x?If the two prism are similar, then there is a scale factor that when multiplied by the dimensions of the blue prism, we get the dimensions of the green one.
If that scale is k, then we can write:
3k = 15
Solving for k:
k = 15/3
k = 5
Now, the correspondent side to the one that measures x, has a measure of 1 unit (in the blue prism), then the value of x is:
1*k = x
1*5 = x
5 = x
The correct option is D.
Learn more about scale factors:
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Trigonometry please help
50 pts
Answer:
Its A :)
Step-by-step explanation:
Im confused on this.....
The mystery number is a three-digit number. Its digits are 2, 8, and 3. • The 3 and the 8 are not next to each other • The 2 comes before 3. What is the mystery number?
Answer:
The mystery number is 823
Hope this helps.
What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6? PLS HELP!!!!
Answer:
The coordinates of the point X:
(x, y) = (-1, -7)Step-by-step explanation:
Let X be the point.
As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
[tex]\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)[/tex]
[tex]\left(x_2,\:y_2\right)=\left(5,-1\right)[/tex]
Rise = y₂ - y₁
[tex]= -1 - (-8)[/tex]
[tex]= -1 + 8[/tex]
[tex]= 7[/tex]
Run = x₂ - x₁
[tex]= 5 - (-2)[/tex]
[tex]= 5 + 2[/tex]
[tex]= 7[/tex]
1 : 6 ratio means the point X lies at
[tex]\frac{1}{6+1}=\frac{1}{7}=14\%[/tex]
Thus,
rise for X [tex]=\:7\:\times \:14\%=1[/tex]
run for X [tex]=\:7\:\times \:14\%=1[/tex]
Thus, coordinates of X will be:
[tex]x = -2 + 1 = -1[/tex]
[tex]y = -8 + 1 = -7[/tex]
Therefore, we conclude that:
The coordinates of the point X:
(x, y) = (-1, -7)The point (-1, -7) divide the segment from (-2,-8) to (5,-1). in the ratio 1:6.
What is distance?If a point O(x, y) divides the line segment AB in the ratio of n:m, where the endpoints of the line is A(x₁, y₁) and B(x₂. y₂), the point O is at:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]
Given the ratio 1:6, let O(x, y) divide the segment from (-2,-8) to (5,-1). Hence:
[tex]x=\frac{1}{1+6}(5-(-2))+(-2)=-1\\\\y=\frac{1}{1+6}(-1-(-8))+(-8)=-7[/tex]
O = (-1, -7)
The point (-1, -7) divide the segment from (-2,-8) to (5,-1) in the ratio 1:6.
Find out more on distance at: https://brainly.com/question/17273444
dfdhdbdgjkf,gdg help pls :)
Answer:
-0.8375
Step-by-step explanation:
i need help with my math homework can someone help
Answer:
okay
Step-by-step explanation:
Catalina and Terri are each saving money to buy a car. Catalina puts $1000 in a safe at home and adds $25 every month. Terri puts $500 in a savings in a savings account at the bank that earns 3.2% interest each month on the total amount of money in the account. For each person, the total amount saved is a function of the number of months. Which of these relationships is a linear function?
Answer:
Catalina´s example is linear
please help with this!!!!!!
Answer:
3,-2 (dark blue)
Step-by-step explanation:
plug the answer back into x:
(3-3)(-2+2)=0
(0)(0)=0
The solution satisfies the equation!
Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)
Answer:
[tex]\%Percent = 30 \%[/tex]
Step-by-step explanation:
Given
[tex]Shaded = 6\ cubes[/tex]
[tex]Box = 5\ x\ 4[/tex]
Required
Determine the percentage of the shaded cubes
First, we calculate the number of boxes:
[tex]Box = 5\ x\ 4[/tex]
Express as multiplication
[tex]Box = 5\ *\ 4[/tex]
[tex]Box = 20[/tex]
This implies that there are 20 cubes in the box.
The percentage of the shaded cubes is:
[tex]\%Percent = \frac{Shaded}{Box} * 100\%[/tex]
[tex]\%Percent = \frac{6}{20} * 100\%[/tex]
[tex]\%Percent = \frac{6* 100}{20} \%[/tex]
[tex]\%Percent = \frac{600}{20} \%[/tex]
[tex]\%Percent = 30 \%[/tex]
30% were shaded
Lucas has a 39-foot-long rope. He uses all the rope to outline this T-shape in his backyard. All the angles in the figure are right angles. (Work out and answer number 13 and number 14, please.)
Answer:
Step-by-step explanation:
The area of a shape is the amount of space it can occupy, while the perimeter is the sum of its sides.
The value of x is 7.5 ftThe area of the shape is 57 square feetGiven that:
[tex]P = 39[/tex] --- the perimeter of the shape
The value of x
The perimeter is the sum of all sides.
So, we have:
[tex]P = x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5)[/tex]
Substitute 39 for P
[tex]x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5) = 39[/tex]
[tex]2x + 24 = 39[/tex]
Collect like terms
[tex]2x = -24 + 39[/tex]
[tex]2x = 15[/tex]
Divide through by 2
[tex]x = 7.5[/tex]
The area of the shape
The shape can be divided into two rectangles
A 9ft by 3ft rectangleA (9 - 3.5 - 3.5)ft by x ft rectangleSo, the area of the shape is:
[tex]Area = 9ft \times 3ft + (9 - 3.5 - 3.5)ft \times x ft[/tex]
[tex]Area = 27ft^2 + 2ft \times x ft[/tex]
Substitute [tex]x = 7.5[/tex]
[tex]Area = 27ft^2 + 2ft \times 15 ft[/tex]
[tex]Area = 27ft^2 + 30 ft^2[/tex]
[tex]Area = 57 ft^2[/tex]
Hence, the area of the shape is 57 square feet.
Read more about areas and perimeters at:
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SOMEONE HELP ASAP PLEASE
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What is the solution to the equation? 2+53 - -9
AGAIN PLEASE SOMEONE HELP
Step-by-step explanation:
2 + 59 -(-9) = 2+ 59 +9 = 59 + 11 = 70
What is the answer to this equation 20x-6=4
A. One solution: X=__
B. No solution
C. infinitely many solutions
Answer:
A.
x=1/2 or 0.50
Which of the following statements could be translated to the equation n - 5 = -2?
A number less than five equals negative two.
The difference between a number and five is negative two.
If five is subtracted from a number, the result is two.
Five less a number is equal to two.
Answer:
its the first one i believe
Answer:
I believe it's, The difference between a number and five is negative two.
Step-by-step explanation:
Picture attached on the file
Answer:
89/3
Stp/lanation:
A school survey found that 24 out of 30 students prefer chocolate milk to white milk. If the school has 500 students, which is the best
prediction of the total number of students who prefer chocolate milk?
Answer:
Around 401 students would prefer chocolate milk.
Step-by-step explanation:
500/30=16.66667...
24*16.7=400.8
you cant have an eighth of a vote so you round to 401
Given that f(x) = x2 – 12x + 27 and g(x) = x – 9, find (f g)(x) and express
the result in standard form.
ABCD is a parallelogram, find x+ y
Answer:
Step-by-step explanation:
Here, ABCD is a parallelogram.
∠CBD=40
o
and ∠BAD=80
o
.
AD∥BC and BD is a transversal.
∴ ∠ADB=∠CBD [ Alternate angles ]
∴ ∠ADB=40
o
.
∴ y=40
o
.
In △ADB,
⇒ ∠ADB+∠DBA+∠BAD=180
o
⇒ 40
o
+x+80
o
=180
o
⇒ 120
o
+x=180
o
⇒ x=180
o
−120
o
⇒ x=60
o
We get, x=60
o
and y=40
o
.
Write the sum as a product of 2-factors.
10-25t
Answer:
5
out of
5
(
2
)
+
5
(
−
5
t
)
.
5
(
2
−
5
t
)
Step-by-step explanation:
Lilli sent 40 text last week. This week the amount of text she sent decreased by 10%. How many text did she send this week?
Answer:
36 texts
Step-by-step explanation:
Last week = 40 texts
This week = 40 -10%of 40
= 40-4
=36 texts
Hope this helps you.
Jack and mic moment jack charges three dollars per hour plus a $10 equipment fee mike charges eight dollars per hour but does not charge and equipment be there charges are shown on the graph after how many hours of knowing is jack and mikes charge the same
NEED ANSWERS NOW!
Will mark you Brainlist!
Answer:
15
Step-by-step explanation:
step by step
WILL AWARD 20 BRAINLY POINTS!
