The value of a newly purchased computer will decrease over time. The value of the computer can be modeled by the following function:
f(t)=200+1,200(0.73)2t,
where t is measured in years since the computer was purchased.
Use the drop-down menus to complete the explanation of how the function models the computer's value over time.
Answer:
$14000200Step-by-step explanation:
a)Substitute 0 for t and evaluate the expression. Recognize that any value to the zero power is 1.
f(0) = 200 +1200(0.73^(2·0)) = 200 +1200·1
f(0) = 1400
When t=0, the value of the computer is 1400 dollars.
__
b)The exponential expression 1200(0.73^(2t)) has a horizontal asymptote of 0. It gets closer and closer to 0.
__
c)The exponential term gets closer to 0, so the function value gets closer to ...
f(∞) ≈ 200 +0 ≈ 200
f(t) gets closer and closer to 200.
Answer:
1) 1,400
2) 0
3) 200
use the formula A=LW to find the length of a rectangle when the width is 29 yards and the are is 1,044 square yards. Help please thank you guysssss
Answer:
L = 36 yd
Step-by-step explanation:
Given the area of a rectangle of 1044 yd², and a width of 29 yards:
Using the formula for finding the area of a rectangle, A = L × W, algebraically solve for the length (L):
A = L × W
where:
A = area of a rectangle = 1044 yd²
L = length of a rectangle
W = width of a rectangle = 29 yd
Solution:Divide both sides by W to isolate L:
[tex]\displaystyle\mathsf{\frac{A}{W}\:=\:\frac{L\:\times\:W}{W}}[/tex]
[tex]\displaystyle\mathsf{L\:=\frac{A}{W}}[/tex]
Substitute the values for the area and the width of a rectangle:
[tex]\displaystyle\mathsf{L\:=\frac{1044\:yd^2}{29\:yd}}[/tex]
L = 36 yd
Therefore, the length of a rectangle is 36 yards.
When Damian runs the 400 meter dash, his finishing times are normally distributed
with a mean of 60 seconds and a standard deviation of 1 second. Using the empirical
rule, determine the interval of times that represents the middle 99.7% of his finishing
times in the 400 meter race.
The middle 99.7% is within 60 seconds to 63 seconds.
The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.
Given that:
mean (μ) = 60 seconds, standard deviation (σ) = 1 second
99.7% are within three standard deviations = μ ± 3σ = 60 ± 3(1) = (57, 63)
The middle 99.7% is within 60 seconds to 63 seconds.
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Find all perfect squares between 100 and 300.
Answer: The answer in the first image.
Explanation: The explanation is in the second image.
Solve the given equation.
PLEASE HELP URGENT ASAP DUE TOMORROW PLSSSSS
∫x²cos(2x³)dx
Answer:
-222
Step-by-step explanation:
Select all of the trip that would take 2 hours
Answer:
what are your options ??
Step-by-step explanation:
Slove the followings.
1. Use your calculator to work out the weight of rubbish in each category.
2. A household produces 1.2 t of rubbish in a year. How many adults live in the house?
3. a. How much rubbish would an adult produce in a year if he recycled the glass, paper, and card?
b. What if he also had a compost heap at foot of his garden for vegetable and decomposable material?
2. The number of adults who live in the house is 3 (1,200/400).
3.a. If an adult recycled the glass, paper, and card that have 42% of the rubbish, the adult will generate 232 kg (400 kg x (1 - 42%) of rubbish.
b. If the adult, in addition, had a composite for vegetable and decomposable material, he will generate 152 kg (400 kg x (1 - 62%).
Data and Calculations:
1 ton = 1,000 kg
Weight of rubbish produced by an adult per year = 400 kg
Total kg of rubbish produced by the family = 1,200 kg (1,000 x 1.2)
Percentage of Vegetable and decomposable material = 20%
Percentage of glass, paper, and card = 42% (33% + 9%)
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Miss Johnson has in her classroom closet 32 boxes with 245 counters. She wo
to redistribute them and share them equally in 25 bags for a class activity.
a) How many counters will she put in each bag?
b) Will she have any counters left? If yes, how many?
Answer:
she will put 9 counters in each bag
she will have 20 counters left over
Answer:
a. 9 each
b. yes she will have 20 left
Step-by-step explanation
245/25=9.8 but if equally it will be 9 with a remainder of 20
that solves everything
Phil is going to purchase a home with a sale price of $225,000. He is able to put 20% down for her down-payment and get a mortgage for the balance. The cost of home insurance is $3,200 yearly. The taxes are $1,170 yearly. He is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.75%. Interest rate for the 15-year mortgage is 2.85%. Phil's credit score is 725.
5) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 30 year fixed?
6) How much will Nick have paid total for the house for the 30-year fixed mortgage?
7) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 15 year fixed?
8) How much will he have paid total for the house if he does a 15-year mortgage?
Answer:
this is hard too
Step-by-step explanation:
A motorboat moves across a lake at a constant speed. When it begins, it is 28
km from the shore. After 12 minutes, it is 4 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y=-12x+28
B. y=-2x + 28
c. y = 2x+28
D. y = 12x + 28
Answer: B. y= -2x+28
Steps:
In the equation, take,"y" as result of the distance of the motorboat from the shore.
Now take the "x" value as the time taken. And hold the unit of x as 12 because you already know that in 12 minutes the motorboat is 4km far from the shore. Then solve the four equations and find out which ones value of,"y" comes 4
After doing all the equations i m pretty sure you will that B. y= -2x + 28
y= -2 * 12 + 28
y= -24+28
y= 4
Answer:
The answer is B
Step-by-step explanation:
A hardware store mixed 7 gallons of red paint with every 11 gallons of blue paint to make purple paint. Which ratio of gallons of red paint to gallons of blue paint will make the same shade of purple paint?
Answer:
2 b + 6 r = 2 * 24
5 b + 3 r = 2 * 21 ... 10 b + 6 r = 84
subtracting equations (to eliminate r) ... 8 b = 36
solve for b , then substitute back to find r
Can someone help me with his I will mark u brilliant
Answer: 1260 books
Step-by-step explanation:
2/5=0.4
19000x0.4=7600
12500x0.4=5000
7600+5000=12600
1/10=0.1
12600x0.1 = 1260
/Answer:
1,260 books (or C)
Step-by-step explanation:
1. 2/5 of fiction (12,500) are out, so 5,000 are out
2. 2/5 of non-fiction (19,000) are out, so 7,600 are out
3. Total books checked out are 12,600
4. 1/10 of checked out books are due this week, so 1,260 books (10%)
please help me somebody will
Answer:
66/54
Step-by-step explanation:
recursive rule for 1 4 9 16
Step-by-step explanation:
The rule is to add 5 to each number to make next number
1 4 9 16 21 26 31 36 41
MARKING AS BRAINLIEST!! Starr if given functions are inverse)!
Answer: They are inverses of each other.
Explanation:
f(x) = -x+5
f(g(x)) = -(g(x)) + 5
f(g(x)) = -(-x+5) + 5
f(g(x)) = x - 5 + 5
f(g(x)) = x
The steps to show that g(f(x)) = x are identical to what is shown above. This is because both f(x) and g(x) are the same.
Since f(g(x)) = x and g(f(x)) = x are true, this means the functions are inverses of each other.
a box 4cm by 6cm by 8cm is painted on all six faces and then cut into cubes with the 2 cm sides. how many oof these cubes have only one side painted?
Answer:
hola saludos desde kansas city
Enter your answer and show all the steps that you use to solve this problem in the space provided.
The ratio of boys to girls in Mrs. Williams’s class is 2 to 5. There are 15 girls in the class. What is the total number of students in Mrs. Williams’s class?
Answer:
It seems like the answer would be 21 students.
Step-by-step explanation:
5 times 3 is 15 so 15 girls
2 times3 is 6 so 6 boys
15+6=21
I hope this helps :))
F(t) = 200(0.95)^t
What is the rate of change?
Answer:
f(t)=-5%
Step-by-step explanation:
Answer:
the rate of change is 5%
Step-by-step explanation:
Given : Function
To find: What is the rate of change?
Solution :
The given function is an exponential function as it is in form
in which b is the factor of rate,
If b=1+r then r is the growth rate
If b=1-r then r is the decay rate.
We have given b=0.95
So, 0.95=1-r
r=1-0.95
r=0.05
i.e, It is a decay rate with 5%.
Therefore, The rate of change is 5%.
Evaluate 7+4b when b= 3
Answer:
19
Step-by-step explanation:
7+ 4(3)
7+12= 19
Mark me brainliest!!
Jane is going to purchase a home in a gated community with a sale price of $250,000. She is able to put 20% down for her down-payment and get a mortgage for the balance. The community has Homeowner Association dues of $200 per month. The cost of home insurance is $3,600 yearly. The taxes are $1,200 yearly. She is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.5%. Interest rate for the 15-year mortgage is 2.75%. Jane's credit score is 585.
1) What will her monthly payment be , including taxes, insurance, and other fees, rounded to the nearest dollar, if she chooses the 30 year fixed?
2) Assuming she makes monthly payments for 30 years, How much will Jane have paid total for the house at the end of the 30 years? Don't forget the down-payment.
3) What will her monthly payment be rounded to the nearest dollar, including taxes, insurance, and other fees, if she chooses the 15 year fixed?
4) Assuming she makes monthly payments for 15 years, How much will Jane have paid total for the house at the end of the 15 years? Don't forget the downpayment.
Answer:
Step-by-step explanation: this is hard
Pls help with part b (pretend the work there isn’t there because it’s wrong)
Of the 50 students in cooking club, 30% are in 7th grade. How many actual students are in 7th grade?
Answer:
15 of them are in 7th grade
Step-by-step explanation:
[35 - (8 + 2)x 3 ] what is the answer
Answer:
5
Step-by-step explanation:
[35 - (8 + 2)x 3]
[35 - (10)x 3]
[35 - 30]
[5]
arithmetic sequence, help with #18 plz
Answer:
15th term is 29/4
Use Arithmetic equation
a1 = 1/4
d= common difference = 2/4
a15 = a1 + (n-1) d
a15 = 1/4 + (15 - 1) 2/4
a15 = 1/4 + 14 (2/4)
a15 = 1/4 + 7
a15 = 29/4 or 7 1/4
please help ill mark brainliest
Answer:
x=28
Step-by-step explanation:
Two angles are complementary. The smaller angle is 34 degrees less than the larger angle. What is the measurement of the smaller angle?
Answer:
56
Complementary means 90
Subtract 34 from 90
90-34 = 56
Free tutor + free answer thank you give me that please
Answer:
Given that they know the law I think 82.93% of drivers obey this law
Answer:
the answer is
Step-by-step explanation:
i took the test
How do you know where to place a decimal in a quotient?
i was doing this task in math and I came across this:
x-12x=0.88x
.
can someone plz explain why is this equal to this?
I understand it's simplified, but how?
Answer:
mx+b+a= x-12x=0.88x
Step-by-step explanation: