The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.
The depreciation rate =
A = P(1-r)ⁿ
Where, A = amount final
P = initial amount
r = rate and n = number of the years
Therefore,
The depreciation rate =
f(x) = 23540(1-0.05)ˣ
f(x) = 23540(0.95)ˣ
Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
Learn more about functions, click;
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a=960 rounded to the nearest 10
b=89.0 rounded to 1 DP
Find the minimum (to 2 DP) of a÷b
Step-by-step explanation:
a÷b=960÷89=10.78651685=10.79 or 17.8
Can someone please help me????
what is 12×12. I know it's easy I just cant remember
Answer:
144
Step-by-step explanation:
NEED HELP ASAP!!
It takes Jada 1 1/2 to mow her lawn. It takes Kam half as long to mow his lawn. How long does it take Kam to mow his lawn?
A. 1/2
B. 3/4
C. 1 hour
D. 3 hours
Answer:
b
Step-by-step explanation:
The difference between the roots of the quadratic equation x^2-14x+q=0 is 6. Find q.
Answer:
The value of q is 40
Step-by-step explanation:
In the quadratic equation ax² - bx + c = 0, where
a = 1
b is the sum of its two roots
c is the product of its two roots
Assume that the roots of the quadratic equations are x and y
∵ The quadratic equation is x² - 14x + q = 0
∴ a = 1 , b = 14 and c = q
∵ b is the sum of its two roots
∵ Its roots are x and y
∴ x + y = 14 ⇒ (1)
∵ The difference between the roots is 6
∴ x - y = 6 ⇒ (2)
Now we have a system of equation to solve it
Add equations (1) and (2)
∴ 2x = 20
- Divide both sides by 2
∴ x = 10
Substitute the value of x in equation (1) or (2) to find y
∵ 10 + y = 14
- Subtract 10 from both sides
∴ y = 4
∵ c is the product of the two roots
∴ c = 10 × 4 = 40
∵ c = q
∴ q = 40
The value of q is 40
2 - 2 help pls ill give you brainliest
Answer:
0..........
Step-by-step explanation:
During a football game, the ball is placed 20 yards 2 feet from the goal line. How many feet from the goal line is the football?
Answer:
62 feet
Step-by-step explanation:
During a football game, the ball is placed 20 yards 2 feet from the goal line. How many feet from the goal line is the football?
Step 1
We convert 20 yards to feet
1 yard = 3 feet
20 yards = x feet
Cross Multiply
1 yard × x feet = 20 yards × 3 feet
x feet = 20 yards × 3 feet/1 yard
x feet = 60 feet
Step 2
How many feet from the goal line is the football?
This is calculated as:
20 yards 2 feet =
60 feet + 2 feet = 62 feet
Therefore, the football is 62 feet from the goal line
Johan can drive 270 miles on 9 gallons of gas. What is his average mileage?
Hey there!
The correct answer is 30 miles per gallon.
If he can drive 270 miles on 9 gallons, we want to find the unit rate, or miles per gallon. We can do this by dividing 270 by 9. To make it easier, we will take off the zero, and do 27/9, which is 3. Now we add the 0 back on, which gives us 30. Therefore, his average mileage is 30 miles per gallon.
Have a terrificly amazing day! :D
Answer:
30 miles per gallon
Step-by-step explanation:
1. 30 miles per gallon since 360/12 = 30
2. 270 / 9 = 30
WILL MARK BRAINLIEST!!!
Answer:
The last one.
Step-by-step explanation:
If you can't see or there's something you don't understand you can ask:) Good luck and I hope it helps.
PLEASE PLEASE HELP NOWWW NOWW
Answer:
14
Step-by-step explanation:
8x-1 = 7x+13
type it into desmos next time
PLSSS HELPPP ASPPPPPPPPPP
Answer:
question 2: exponential, question 3 is linear, also there is a site called desmos and that has a scientific calculatior and graphing calculator, the graphing calculator can help you with questions like these, all you have to do is put the points
A right square prism has a volume of 220 cubic meters. The prism is enlarged so its height is increased by a factor of 10, but the other dimensions do not change. What is the new volume?
A. 2200m³
B. 1450m³
C. 1200m³
D. 1580m³
Answer:
B.
Step-by-step explanation:
your welcome
The product of x and 6 is less than or equal to 24.
Answer:
x= 4 or <
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Find all zeros f(x) =x^4-x
Answer:
0 and 1
Step-by-step explanation:
Answer:x=−4,x=0,x=5
Step-by-step explanation:
take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4
The area of a rectangle is 258.6 m2. If the length is 15 m, what is the perimeter of the rectangle?
258.6÷15=17.24
2·15+2·17.24=30+34.48=64.48.
I’m having trouble with this plz help.
Answer:
The answer is 56. Here's why:
Step-by-step explanation:
Pythagorean Therom works for any right triangle, and it states (a)²+(b)²=(c)². A and B are the height and base, and C is the hyptoanuse. We don't know the height, but we know the rest of the information:
(a)²+(33)²=(65)². This simplifies to (a)²+1089=4225. If we subtract 1089 from each side, we get (a)²=3136. The √3136 (Sqaure root of 3136) is 56.
Barbara wants to buy some glittery heart-shaped beads to make friendship bracelets. The beads she wants come in a small pack with 90 beads or a large pack with 300 beads. The small pack costs $3.60, while the large pack costs $9.00. Which pack is the better value? small pack ll large pack
Answer:
The large pack is a better deal!
Step-by-step explanation:
so first we need to figure out how much the individual beads cost.
Small pack: $ 3.60÷90 = 0.04 cents per bead
Large pack: $9.00 ÷ 300 = 0.03 cents per bead
Hope this helps!!
Have a great day!!
pls help! right answer = gets brainiest
Answer:
2,4 because they are hitting each other at that point
Answer:
D
Step-by-step explanation:
The solution is where the the red and blue line intersect.
helpp me thx show work
Answer:
x= 25°
Step-by-step explanation:
3x-10 = 25 + x + 15 (ext ∠ of triangle equals to the sum of interior opposite ∠'s)
3x - x = 40 +10
2x= 50
x= 50/2
x= 25°
does anyone know equivalent expressions for these: y+4t+5y+3(3t+9y) and 9(y+4y+5)
Answer:
y + 4t + 5y + 3 (3t + 9y) = 13t + 33y
9 (y + 4y + 5) = 45y + 45
What is 1 plus 1
~IMPOSSIBLE~
Answer:
9
Step-by-step explanation:
1 + 1 = 9 100% verified
Does this graph show a function? Explain how you know.
Answer:
I think it's A
...........................
Please help me solve this :((
Answer:
Step-by-step explanation:
hello :
cosθ = 72.90/125.00
cosθ = 0.58
θ= cos-1(0.58)
θ = 54.55°
I need help with this one please
Answer:
plot $30 on the line above one and plot $50 on the line above two and keep doing the same thing
Step-by-step explanation:
Plot the data first using the results above, so u can draw the line,
Then u can answer the questions, if the line goes through all the points its proportional, vice versa
What percent is 72 out of 120?
-6= b/18 does any one no this
Answer:
The correct answer is b = -108
Solve for b by simplifying both sides of the equation, then isolating the variable.
~Hoped this helped~
~Brainiliest, please?~
Answer:
[tex]b = - 108[/tex]
Step-by-step explanation:
[tex] \frac{b}{18} = - 6[/tex]
Lets multiply both the sides by 18.
[tex] = > \frac{b}{18} \times 18 = - 6 \times 18[/tex]
[tex] = > b = - 10 8[/tex]
Eh so im confused on this question ill give brainliest.
Answer:
the perimeter is 28 and the area is 49
Step-by-step explanation:
a square has equals sides and i counted seven on each side for the perimeter. you multiply seven by seven to find the area
Answer: this is a square with 7 units on each side
Area = 7^2 = 49 units^2
Perimeter = 7 x 4 = 28 units
Step-by-step explanation:
Brainliest plz
17x+12=54-4x=6(5x-4x)
Answer:
Step-by-step explanation:
390
What is the greatest possible value for STATS in the cryptarithm shown here given that V = 1? [Different letters represent different digits, and no leading digit can equal 0.] ROTOR + LEVEL ----------- STATS
Answer:
HI!
Step-by-step explanation:
HOLA
Suppose you want to put trim around the floor of a rectangular room.
The room is 7 by 11 feet. If a foot of trim costs $6, how much will the
trim cost altogether?