Answer:
It would be B.
Step-by-step explanation:
divide Y by X.
A brand new car costs $18,000, this price depreciates at 25% every year, how much would the car be after 12 years? 20 years?
Answer:
C(12)=$570.18
C(20)=$57.08
Step-by-step explanation:
Exponential Decay Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.
The depreciation model is:
[tex]C(t)=18,000\cdot(1-0.25)^t[/tex]
Operating:
[tex]C(t)=18,000\cdot 0.75^t[/tex]
At t=12 years, the price will be:
[tex]C(12)=18,000\cdot 0.75^{12}[/tex]
C(12)=$570.18
At t=20 years, the price will be:
[tex]C(20)=18,000\cdot 0.75^{20}[/tex]
C(20)=$57.08
2. Caleb needs to solve the problem 2,406 ÷ 6. In what place is the first digit of the quotient for the problem 2,406 ÷ 6?
Hope this helps!
Also can I please have Brainliest...?
Only if I'm right of course...
How to do this question plz
Answer:
Aproximately 25 days
Step-by-step explanation:
so he goes 15.12 mph and rides for 8 hours so 15.12*8=120.96
3069.25/120.69
=25.374091 round it to nearest whole number so its 25days
Solve 5 – b = 2t for t.
Answer:
[tex] \rm t = \dfrac{5 - b}{2} [/tex]
Step-by-step explanation:
Solve for t:
[tex] \longrightarrow [/tex] 5 - b = 2t
5 - b = 2t is equivalent to 2t = 5 - b:
[tex] \longrightarrow [/tex] 2t = 5 - b
Divide both sides by 2:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{2t}{2} = \dfrac{5 - b}{2} [/tex]
[tex] \sf \dfrac{2}{2} [/tex] = 1:
[tex] \longrightarrow [/tex] [tex] \sf t = \dfrac{5 - b}{2} [/tex]
V(t), left parenthesis, t, right parenthesis models the number of visitors in a park as a function of the outside temperature t (in degrees Celsius).
Look at picture posted below.
t 18 20 37
------------------------
v(t) 10 18 46
When does the number of visitors in the park increase faster?
Choose 1 answer:
(A). Between outside temperatures of 181818 degrees Celsius and 202020 degrees Celsius
(B). Between outside temperatures of 202020 degrees Celsius and 272727 degrees Celsius
(C).The number of visitors increases at the same rate over both intervals
Answer:
The number of visitors increases at the same rate over both intervals
Step-by-step explanation:
The unit rate at which the number of visitors in the park increases over a given temperature interval is called the average rate of change, or ARCARCA, R, C.
To find the average rate of change of a function over an interval, we need to take the total change in the function value over the interval and divide it by the length of the interval.
Hint #22 / 3
We are asked to compare the rates at which the number of visitors increases over the interval between an outside temperature of 181818 degrees Celsius and 202020 degrees Celsius, and over the interval between an outside temperature of 202020 degrees Celsius and 272727 degrees Celsius. These correspond to the domain intervals [18,20][18,20]open bracket, 18, comma, 20, close bracket and [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Let's calculate the average rate of change of VVV over those intervals:
ARC_{[18,20]}ARC
[18,20]
A, R, C, start subscript, open bracket, 18, comma, 20, close bracket, end subscript ARC_{[20,27]}ARC
[20,27]
A, R, C, start subscript, open bracket, 20, comma, 27, close bracket, end subscript
\begin{aligned} \dfrac{V(20)-V(18)}{20-18}&=\dfrac{18-10}{2}\\\\&=\dfrac{8}{2}\\\\&=4\end{aligned}\quad
20−18
V(20)−V(18)
=
2
18−10
=
2
8
=4
\begin{aligned} \dfrac{V(27)-V(20)}{27-20}&=\dfrac{46-18}{7}\\\\&=\dfrac{28}{7}\\\\&=4\end{aligned}
27−20
V(27)−V(20)
=
7
46−18
=
7
28
=4
Hint #33 / 3
The average rate of change over the interval [18,20][18,20]open bracket, 18, comma, 20, close bracket is the same as the average rate of change over the interval [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Therefore, the number of visitors increases at the same rate over both intervals.
Using the average rate of change, it is found that the correct option is:
(A) Between outside temperatures of 18 degrees Celsius and 20 degrees Celsius.
The rate of change of a function is given by the change in the output divided by the change in the input.
When the temperature changes from 18 to 20 degrees, the number of visitors increase from 10 to 18, thus, the rate of change is:
[tex]r = \frac{18 - 10}{20 - 18} = \frac{8}{2} = 4[/tex]
When the temperature changes from 20 to 37 degrees, the number of visitors increase from 18 to 46, thus, the rate of change is:
[tex]r = \frac{46 - 18}{37 - 20} = \frac{28}{17} = 1.65[/tex]
First case has higher rate of change, thus, option A is correct.
A similar problem is given at https://brainly.com/question/20732437
A pizza contains 780 calories and serves two people. How many calories are in a serving?
Answer:
390 calories
Step-by-step explanation:
What ratio is equivalent to 5:3
O 15:3
20:12
O 15:12
12:20
Answer:
20:12
Step-by-step explanation:
[tex]5:3 = \frac{5}{3} \\ 20:12 = \frac{20}{12} = \frac{5}{3} \\ = 5:3[/tex]
Answer:
20:12
Step-by-step explanation:
20divided by 4is 5
12 divided by 4 is 3
A backyard is 40.5 feet long and 25 feet wide. In order to install a pool, the yard needs to be reduced by a scale of One-third. What is the area of the reduced yard?
Answer:
112.5
Step-by-step explanation:
plz mark me brainlest if its correct lol
Answer:
112.5
Step-by-step explanation:
(Checked and correct)
Can someone help me ASAP!?please
Factorise:x^2 + 7x + 10 =0
Answer:
x = − 5, − 2
Step-by-step explanation:
x² + 7x + 10 = 0
x² + 5x + 2x + 10 = 0
x(x + 5) + 2 (x + 5) = 0
(x + 5)(x + 2) = 0
x = − 5, − 2
-TheUnknownScientist
Help me?! Solve for x
Answer:
3
Step-by-step explanation:
180-75
105
105-3
102
102/34
3
Answer:3
34x+3+75=180
34x=180-78
34x=102
x=102/34
x=3
PLEASE HELP ME 16 POINTS PLEASE HELP
Answer:
A.
Step-by-step explanation:
Answer:
The answer is the first one but don't quote me on that
Step-by-step explanation:
The 4th term as a G.P is 384 and
3rd term is 96 find the first term.
Answer:
first term is 6
Step-by-step explanation:
MULTIPLY BY 4
1) 6 (1st term)
2) 6x4 = 24 (24 is the second)
3) 24 x 4 = 96 (96 is the 3rd)
4) 96 x 4 = 384 (384 the 4th)
.(02.03 MC) Solve for x: |4x + 12| = 16 (5 points) ??.?.?.?.?
Answer:
x = 1 , − 7
Step-by-step explanation:
Find all solutions for x by breaking the absolute value into the positive and negative components.
Find the missing term in the
geometric sequence.
Answer:
110.5
Step-by-step explanation:
208=13+(3-1)d
208=13+2d
-13. -13
195=2d
÷2. ÷2
97.5=d. (d means difference)
13(first term)+97.5=110.5(the answer
Answer:
36
Step-by-step explanation:
A piece of ribbon that is 8 and 1/3 yards long will be cut into 5 equal pieces to make bows. How much ribbon will be used foe each bow?
Answer:
yes
Step-by-step explanation:
Answer: 1 2/3 yards for each bow
Step-by-step explanation:
8 1/3 divided by 5 = 25/3 * 1/5 = 5/3
Order these from least to greatest
Answer:
-1 1/2,-1,-1/2,0,1/2,1
Step-by-step explanation:
negatives always go to the least, even if they have a bigger number
Faye bought 3 bookmarks at the book store if each bookmark cost $1.40 and she paid with a twenty dollar bill how much change should she get back
Answer:
$15.80
Step-by-step explanation:
First you multiply $1.40 times 3 to get $4.20 then you subtract the $4.20 from $20 to get $15.80
(-1, 3)
(-5, -5)
(0, -4)
(1, 2)
(4, 4)
(3, 8)
2. Which of the following states that if the product of two real numbers is zero, then either of the two is
equal to zero or both numbers are equal to zero?
A. Multiplication Property C. Identity Property
B. Zero Product Property
D. Transitive Property
Answer:
b
B zero product property
Answer:
The Zero property
Step-by-step explanation:
anything multiplied by zero will give you a product of zero
Translate the algebraic expression 8(8+7J+8)
Answer:
The answer is 64+56j+64
PLEASE HELP 15 POINTS...PLEASE HELP
Answer:
-4
Step-by-step explanation: it is intercepting the -4 so i think -4 is the right answer
Answer:-4
Step-by-step explanation:
it bc the line crosses on -4
Hi, please help!
Evaluate the expression when
x = 5,
y = -3,
z = -2.
x-5z/y
If triangle ABC is reflected over the x-axis, triangle A'B'C' will be created.
What would be the length of ?
2 units
4 units
10 units
12 units
Answer:
4 units
Step-by-step explanation:
correct on edge
Answer:
4
Step-by-step explanation:
yes
Given the Following function; g(t) = 450 (0.34)t , what would the Domain and Range be for the Function?
a
Domain is \large -\infty
b
Domain is \large 450\le x<\infty, Range is \large -\infty
c
Domain is \large 0
d
Domain is 0, Range is 450
Answer:
Given the formula for a function, determine the domain and range.
Exclude from the domain any input values that result in division by zero.
Exclude from the domain any input values that have nonreal (or undefined) number outputs.
Use the valid input values to determine the range of the output values.
Step-by-step explanation:
The photo shows a portion of an airport. The measure of Z4 is 84°. Find the measure
of Z3.
Help
Answer: 96°
180-84 = 96
I hope this is good enough:
Which property is illustrated? x + y = y + x
Answer:
commutative property
Step-by-step explanation:
it is
Determine the constant rate of change for each table.
1. Age (yr) Height (in.)
9514 1404 393
Answer:
2 3/4Step-by-step explanation:
The rate of change in each case can be found by dividing right-column differences by left-column differences.
Table 1
(56 -54)/(10 -9) = 2/1 = 2 . . . the constant rate of change
__
Table 2
(3 -0)/(4 -0) = 3/4 . . . the constant rate of change
_____
Additional comment
Often, in math problems of this sort, you fill in a blank with a number. Above, we have computed those numbers. In real life, it is useful to consider the units that go with that number. The units are divided in the same way the numerical values are.
Table 1: 2 in/yr
Table 2: 3/4 °C/h
2.
Turkey for sandwiches costs $7.75 per pound. What equation best represents
y, the total cost of x pounds of turkey?
a. X = 7.75 + y
b. X = 7.75y
c. Y = 7.75 + x
d. Y = 7.75x
For a soccer game, Mr Morant prepared 32 hot dogs. He sold 1/2 of the hot dogs to the fans. He sold 1/4 of the hot dogs to the coaches. How many hot dogs were left?
Answer:
it is nothing
Step-by-step explanation:
1-1=2