Answer:
226.08 ft
Step-by-step explanation:
using the formula for volume of cylinder
πr²h
3.14× 3²×8= 226.08 ft
Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year. Which of the following functions best models this situation?
f(x)=23,540(1.05)xf of x is equal to 23 comma 540 times 1 point 0 5 to the x th power
f(x)=23,540(0.95)xf of x is equal to 23 comma 540 times 0 point 9 5 to the x th power
f(x)=−23,540(1.05)xf of x is equal to negative 23 comma 540 times 1 point 0 5 to the x th power
f(x)=−23,540(0.95)x
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.
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Kristin
spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost
$15. If she bought a total of 7 then how many of each kind did she
buy?
The chart below shows the number of sit-ups Annie did starting May 1. If this trend continues, how many sit-ups is Annie expected to do on May 11
Answer:
550 sit-ups
Step-by-step explanation:
Given
See attachment for chart
Required
Number of sit-ups on March 11
Represent the number of sit-ups with x and the days with y.
So:
[tex](x_1, y_1) = (1,50)[/tex] --- May 1
[tex](x_2, y_2) = (2,100)[/tex] --- May 2
First, we calculate the slope of the line chart.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{100 - 50}{2-1}[/tex]
[tex]m = \frac{50}{1}[/tex]
[tex]m = 50[/tex]
Next, we calculate the equation using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 50(x - 1) + 50[/tex]
[tex]y = 50x - 50 + 50[/tex]
[tex]y = 50x[/tex]
So, on May 11.
[tex]x= 11[/tex]
Substitute 11 for x
[tex]y = 50 * 11[/tex]
[tex]y = 550[/tex]
Please help me I will give brainlest if right
What is the complete factorization of the polynomial below?
x^2 + 4x^2 + 16x + 64
O A. (x-4)(x + 4i)(x + 4i)
B. (x + 4)(x + 4i)(x + 4i)
C. (x + 4)(x + 4i)(x-4i)
O D. (x-4)(x + 4i)(x-4i)
Given:
Consider the given polynomial is:
[tex]x^3+4x^2+16x+64[/tex]
To find:
The complete factorization of the given polynomial.
Solution:
We have,
[tex]x^3+4x^2+16x+64[/tex]
Using grouping method, we get
[tex]=(x^3+4x^2)+(16x+64)[/tex]
[tex]=x^2(x+4)+16(x+4)[/tex]
[tex]=(x+4)(x^2+16)[/tex]
[tex]=(x+4)(x+4i)(x-4i)[/tex] [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]
Therefore, the correct option is C.
2. Classify a triangle with the following side lengths 26, 12, and 18. *
1 point
Acute
Obtuse
Right
Answer:
Acute
Step-by-step explanation:
26^2 + 12^2 = 18^2
676 + 144 = 324
820 = 324
Since 324 is smaller, this triangle is acute
1. How long does it take running at a rate of 12m/s over a distance of 360m?
Step-by-step explanation:
T=D/S
D=360m
S=12m/s
360m÷12m/s
Time=30s
x+y=1
plz help
in x and y intercept form
Answer:
y=-x+1
Step-by-step explanation:
x+y=1
1. y needs to be by itself so you would subtract the x
2. y=-x+1
Please help me with this i will give brainliest
Answer:
i think it's 10%
Step-by-step explanation:
What is f(x)=x^2-8x y-intercept?
Answer:
x(x−8y)
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
GCF = xx
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
than your answer is x(x-8y)
Please help I'm begging you please ASAP ASAP please ASAP I need to finish in 20 min please ASAP please please help
Answer:
In the first rectangle,
one side =15*1=15
other side = 15* 3=45
in the second rectangle,
one side = 25*1=25
other side= 25*3=75
Step-by-step explanation:
Part A - Find the area of the shaded region. Round to the nearest hundredth. Just write the number with no unit attached. * 11 cm / Tan ་ 12 cm
Answer
128.86
Step-by-step explanation:
The box is 11x12 so 132.
The circles area is 3.14, or
A = πr^2 = π·1^2 ≈ 3.14159
So 132-3.14 is 128.86
5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged $450. His second job was 3 hours and he charged $675. If his set up fee is $150, how much does he charge per hour?
Answer:
Results are below.
Step-by-step explanation:
First, we need to calculate the variable income per job:
First job= 450 - 150= 300
Second job= 675 - 150= 525
Now, the hourly rate:
Hourly rate= total variable income / number of hours
First job= 300 / 4= $75
Second job= 525 / 3= $175
It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour
In the sequence: 20, 25, 23, 28, 26, …, what number should come next?
a) 24
b) 31
c) 21
d) 28
Answer:
b) 31
Step-by-step explanation:
20 + 5 = 25
25 - 2 = 23
23 + 5 =28
28 - 2 = 26
pattern: add 5 then subtract 2
since we subtract last, we would add 5 on 26:
26 + 5 = 31
Answer:
31
Step-by-step explanation:
In the sequence they are adding 5 and taking away 2. So if they start with 20, they added 5 and took away 2, it was 23. Then they added 5 again and it was 28, they took away 2 and it was 26. If they add 5, the next number would be 31.
Hope it helped :)
Anyone know the answer to this ?
Answer:
no srry
Step-by-step explanation:
Can someone help me please
Answer:
B
Step-by-step explanation:
sohcahtoa
sin = opp/hyp
sin A = 16/20= 4/5
which equation is equivalent to 63-3(2-10x)=150
Answer:
D: 57 + 30x = 150
Step-by-step explanation:
63-3(2-10x)=150
63 - 6 + 30x = 150
57 + 30x = 150
A student simplified the expression (3x^2+2)-(2x^2+4) as x^2+^6 Explain what the student did incorrectly and state the correct answer.
Answer:
x^2 - 2
Step-by-step explanation:
The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been
x^2 - 2
(3x²+2)-(2x²+4)
write in a different form, remove parentheses
3x²+2-2x²-4
calculate the value of the corresponding terms
x²-2
Answer: Yes, he made a mistake.
A simplified expression would look like this x²-2 and not like this x²+^6.
HELP HELP ME PLZ !!!
Answer:
GK=JK
Step-by-step explanation:
SSS congruency is side-side-side congruency. We are given that GH=JH and KH=KH, which are both sides.
For SSS, we need 3 pairs of congruent sides. We already have 2 pairs.
The options are:
<G=<J
<H=<H
GK=JK
the first two options, <G=<J and <H=<H are talking about congruent angles. We don't need to know about congruent angles for SSS
GK=JK is talking about a pair of congurent sides. Then, we would have 3 pairs of congruent sides, satisfying the criteria needed for SSS. Therefore, we must know that GK=JK.
Hope this helps!
15 is 20% of what number? Enter your answer in the box.
Answer:
75
Step-by-step explanation:
Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h
Answer:
the value of h is √676km
Step-by-step explanation:
The computation of the value of h is shown below
Here we apply the Pythagoreus theorem
= 24^2 + 10^2
= 576 + 100
= √676
Hence, the value of h is √676km
We simply determine by using the Pythagoreus theorem
what two number multiply to make -36 as well as add to make 16
-12 x 3 = -36
-6 x 6 = 36
-8 x 2 = -16
-4 x 4 = -16
How do you graph it ?
Answer:
It should look like this
Step-by-step explanation:
hope it helps
3
Carl's baseball team is selling
trash bags to raise money for
uniforms and equipment. Each
player starts with a credit of $50
towards their sales, and each roll of
trash bags sells for $8. Determine
how many rolls of trash bags each
person must sell to make $300.
Answer:
32
Step-by-step explanation:
One member would make 250$ by selling 31.25 rolls. Which if you round up you get 32. You can't sell a quarter of a roll so you must go up one therefore the answer is one person must sell 32 rolls in order to make 300$ including the 50$ already towards his credit.
20 Points!!!! PLEASE help!! Math!! Due soon!!
Answer:
the first one is true, the third one is true, the fourth one is true, the fifth one is true
Step-by-step explanation:
the second one is false
the hotog eating champion eats 27.5 hot dogs in 4 minutes. at that rate how many does he eat in the 10 min competition?
Answer:
68.8 hot dogs
Step-by-step explanation:
27.5 ÷ 4 = 6.875 per minute
6.875x10 = 68.75 hot dogs
Answer:
68.75 hotdogs
Step-by-step explanation:
lets say x = number of hotdogs
27.5/4 = x/10
use cross multiplication:
27.5 (10) = 4(x)
multiply
275 = 4x
divide both sides by 4 to isolate x
x = 68.75
Any smart people know this i’m not smart
Answer:
-8n² - 8n + 3
Step-by-step explanation:
Combine like terms (terms with the same variables, as well as the same amount of that variable).
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)
First, distribute the negative sign to all terms within the second parenthesis:
4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1
Combine like terms:
(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)
-8n² - 8n + 3
-8n² - 8n + 3 is your answer.
Answer:
Option 3
Step-by-step explanation:
7x = 14 step by step
Answer:
x=2
Step-by-step explanation:
7x = 14
x = 14/7
x = 2
Answer:
2
Step-by-step explanation:
7x/7 = 14/7
x = 2
can you help with this Its due today.
Answer: x squared equals y
Step-by-step explanation:
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, how many more hot dogs would winston need to sell to earn a total of 185.00?
A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collected.
Which function most accurately represents this data, where n is the number of bacteria and t is the time elapsed, in hours?
n = 2t
n = 2^t
n = t^2
n =