Answer:
Step-by-step explanation:
t is the number of years since 2003.
f(t) = $18,500×0.88^t
t = 2 in 2005
f(2) = $18,500×0.88²≅ $14,300
Answer:
$14300.00
Step-by-step explanation:
100 - 12 = 88%
88% = 0.88
$18500 x 0.88² = $14326.40
To the nearest hundread:
$14326.40 = $14300.00
0.88² means to the power of 2 since it is 2 consecutive years I did to the power of 2. If it was 3 consecutive years then you do 0.88³.
Hope this helps!
Select the correct answer. The velocity of a train relative to the ground is represented by the distance from A to B in the diagram. The velocity of a ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C. What is the distance from A to C (the velocity of the ball relative to the ground), correct to two decimal places? Assume that all the points in the diagram lie in the same plane. A. 21.14 m/s B. 18.03 m/s C. 17.20 m/s D. 15.00 m/s
A and C are separated by 21.14 miles. The right answer is A.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
The ratio of the object's distance travelled at a certain time is known as its velocity. As a vector quantity, the velocity requires both the magnitude and the direction.
Assuming that the distance from A to B in the diagram represents the train's speed in relation to the ground. The distance from B to C represents the velocity of a ball thrown inside a train at an angle of 66° to the train.
The following formula will be used to determine how far A is from C:
2×15×10×cos(180-66)=15²+10²-AC²
-300 cos 66=225+100-AC²
AC=√(325+300 cos 66)
AC = 21.17 m/s
As a result, A and C are separated by 21.14 miles. The right
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Hank and lynn are paying off car loans.
·Hank paid $2,000 up front when he bought his car,and he pays 200$ each month.
·Lynn did not pay any money up front when she bought her car, and she pays 275$ each month.
Is the relationship between the number of months an the total amount paid proportional for both hanks and lynns loans?
A graph that shows the number of months and the total amount paid by hank would
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next
A graph that shows the number of months and the total amount paid by lynn would.
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next
the relationship between the number of months and the total amount paid is proportional for
A: lynns loans only
B: neither loans
C: both loans
D: Hanks loan only
Answer:
1.B 2.C 3.C
Step-by-step explanation:
Answer:
BCC
Step-by-step explanation:
who is the current vice president of the us? is this a statistical question or a non statistical question why or why not? Explain your answer
Answer:
The current vice president (as of 4-16-2021) of the U.S. is Kamala Harris. This is a non-statistical question.
Step-by-step explanation:
A statistical question can be answered by collecting data and where there will be variability in that data. The proposed question (Who is the current vice president of the U.S.?) does not allow for variability in the data as there is only one legitimate answer to the question, thus it is NOT a statistical question.
Answer: statistical question
Step-by-step explanation:
cause your asking the current vice president.
You work and your hourly wage is $12.25 if you work 40 hours this week ,how much money would you make before taxes?
Answer:
$490
Step-by-step explanation:
Since one hour of work is $12.25, 40 hours is $490.
12.25 x 40 = 490
------------------
John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”
Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.
110 calories
5 gummy bears
What is the unit rate per gummy bear?
Answer:
348.7 Calories (per 100 g)Step-by-step explanation:
Answer:
it is 22 because if you divide 110 ÷ 5=22
Wat is a mixed number or whole number: 11/3
Answer:
Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3
Answer:
3 2/3 is the simplified version of 11/3
Step-by-step explanation:
Which is the graph of x - y = 1?
y
y
5
5
4
4
3
3
3
2
2
2
1
1
4
3
1 2
5
5
4-3-2-1,
1 2 3 4 5 X
4
1 2 3
5-4-3-2-11
5-4-3-2-1
2
-2
2-
-3
3
4
4
5
5
ly
5
4
3
Answer:
the 3rd graph
Step-by-step explanation:
The graph which represents x-y = 1 is; The 3rd graph.
Graph of a straight lineFrom the task content, the given equation of the line is; x - y = 1.
By rearranging the equation to take the slope-intercept form;.
y = x - 1.Hence, slope of the graph is 1 and the y-intercept of the graph is -1.
On this note, only the 3rd graph satisfies the conditions above.
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You need two bottles of fertilizer to treat the flower garden that has a perimeter of 42 feet. How many bottles do you need to treat a similar garden with a perimeter of 105 feet?
Answer:
5
Step-by-step explanation:
What is the range for the set of data?
A. 4
B. 6
C. 3.5
D. 0
I don’t want a link, so if you were gonna send one, ignore this instead
Justin buys ice cream and apples at the store.
He pays a total of $25.24.
He pays a total of $5.14 for the ice cream.
He buys 5 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine xx, how much each bag of apples costs.
Answer:
$4.02
Step-by-step explanation:
Subtract $5.14 from $25.24.
$25.24-$5.14=20.10
Divide 5 and $20.10
20.10/5= 4.02
so each bag of apples costs $4.02
(q4)Find the area of the region bounded by the graphs of
and x = y - 4.
The area of the region bounded by the graphs is 3.33 .Option B
To find the area of the region bounded by the graphs, we need to determine the points of intersection and integrate the appropriate functions within the bounds.
First, let's find the points of intersection between the graphs.
Setting the equations equal to each other, we have:
x = y - 4
x = ±√(y - 2)
To solve this system of equations, we can square both sides of the second equation:
[tex]x^2 = y - 2[/tex]
Now, we can substitute x from the first equation into the squared equation:
[tex](y - 4)^2 = y - 2[/tex]
Expanding and rearranging the equation:
[tex]y^2 - 8y + 16 = y - 2\\y^2 - 9y + 18 = 0[/tex]
Factoring the quadratic equation:
(y - 3)(y - 6) = 0
So we have two solutions: y = 3 and y = 6.
Now, let's find the corresponding x-values for each y-value.
For y = 3:
x = y - 4 = 3 - 4 = -1
For y = 6:
x = y - 4 = 6 - 4 = 2
We have found the points of intersection: (-1, 3) and (2, 6).
To find the area, we need to integrate the appropriate functions within the bounds.
For the first part of the region, bounded by the graphs x = y - 4 and x = -√(y - 2), we integrate with respect to y:
A1 = ∫[3, 6] [(y - 4) - (-√(y - 2))] dy
Simplifying:
A1 = ∫[3, 6] [y - 4 + √(y - 2)] dy
To evaluate this integral, we need to use numerical methods or software. The result is approximately 2.08 sq. units.
For the second part of the region, bounded by the graphs x = y - 4 and x = √(y - 2), we integrate with respect to y:
A2 = ∫[3, 6] [(y - 4) - √(y - 2)] dy
Simplifying:
A2 = ∫[3, 6] [y - 4 - √(y - 2)] dy
Again, we need to use numerical methods or software to evaluate this integral. The result is approximately 1.25 sq. units.
Finally, we find the total area by adding A1 and A2:
Total area = A1 + A2 = 2.08 + 1.25 = 3.33 sq. units.Therefore, the correct answer is Option B
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What is 53.237 written in expanded form?
in how many ways can 4 mangoes and 3 apples be distributed among 7 children if each child receives only 2 fruit?
solution
this is what I did. total number of ways without any restriction =900. we have to subtract the case when at least one child doesn't get any fruit. let that be C1∪C2∪C3 and we use the principle of mutual inclusion and exclusion to find that. C1∪C2∪C3=C1+C2+C3−(all two intersections)+3 intersections (no one gets a fruit case) =3⋅60−3+1=178 so case where each child gets at least one fruit =900−178=722.
Is this right, someone saying answer =49
The manager of the customer service department of an e-commerce company wants to know the average hold time for customers who call the department. The department receives about 850 calls each hour. The following data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2. Calculate the approximate hold time for all customers who call the customer service department.
The approximate hold time for all customers who call the customer service department is A 4 minutes. B 3 minutes. cannot be calculated from the given data. d 7 minutes
Answer:
The answer is approximately 3.
Step-by-step explanation:
You add all the numbers and then divide by 10
The approximate hold time for all customers who call the customer service department is 3 minutes.
What is a mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
For the given situation,
The department receives about 850 calls each hour.
The data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2.
The approximate hold time for all customers who call the customer service department is calculated by mean as
⇒ [tex]\frac{sum of number of data sets}{Total number of data sets}[/tex]
⇒ [tex]\frac{2+1+4+5+3+3+7+4+3+2}{10}[/tex]
⇒ [tex]\frac{34}{10}[/tex]
⇒ [tex]3.4[/tex] ≈ [tex]3[/tex]
Hence we can conclude that the approximate hold time for all customers who call the customer service department is 3 minutes.
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Suppose an experiment is done with criminals released from prison in a certain state where the recidivism rate is 37%; that is, 37% of criminals return to prison within three years. One hundred random prisoners are made to attend a "boot camp" for two weeks before their release, and it is hoped that "boot camp" will have a good effect. Suppose 32 of those prisoners return to prison within three years. The null hypothesis is that those attending boot camp have a recidivism rate of
This question is incomplete, the complete question is;
Suppose an experiment is done with criminals released from prison in a certain state where the recidivism rate is 37%; that is, 37% of criminals return to prison within three years.
One hundred random prisoners are made to attend a "boot camp" for two weeks before their release, and it is hoped that "boot camp" will have a good effect. Suppose 32 of those prisoners return to prison within three years. The null hypothesis is that those attending boot camp have a recidivism rate of 37%.
a) what is p. sample proportion of successes?
b) what is p0, the hypothetical proportion of success under the null hypothesis
c) what is the value of test statistic
Answer:
a) sample proportion of successes is 0.32
b) the required value of p₀ is 0.37
c) the required test statistics value is -1.0356
Step-by-step explanation:
Given the data in the question
100 prisoners attend boot camp and 32 of them return to prison within three years
x = 32
n = 100
recidivism rate for the whole state = 37% = 0.37
a)
what is p. sample proportion of successes
p" = x / n
we substitute
p" = 32 / 100
p" = 0.32
Therefore, sample proportion of successes is 0.32
b)
what is p₀, the hypothetical proportion of success under the null hypothesis
given that;
the population recidivism rate for the whole state is 37%;
p₀ = 37%
p₀ = 0.37
Therefore, the required value of p₀ is 0.37
Null hypothesis H₀ : p₀ = 0.37
Alternative hypothesis Hₐ : p₀ ≠ 0.37
c)
what is the value of test statistic
Z = (p" - p₀) / √([tex]\frac{p_0(1-p_0)}{n}[/tex])
so we substitute
= (0.32 - 37) / √([tex]\frac{0.37(1-0.37)}{100}[/tex])
= -0.05 / √0.002331
= -0.05 / 0.04828
= -1.0356
Therefore, the required test statistics value is -1.0356
Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
Which graph shows the solution to the following system of inequalities?
{x - y = 1
y - x = 1
The lines are parallel.
The lines are coinciding.
The lines intersect at (1, 0).
The lines intersect at (–1, 0).
6-4x+6(x-2) solve for x
Answer:
x=3
Step-by-step explanation:
6-4x+6(x-2)
6-4x+6x-12
-4x+6x=12-6
2x=6
x=3
A snack recipe calls for 5 3/4 cups of cereal and 3 5/12 cups less of raisins. How many total cups of snack mix does the recipe make? Write in simplest form.
Answer:
10 1/12 cups
Step-by-step explanation:
Ok, so since we know that the recipe calls for 5 3/4 cups of cereal we can go ahead and say it's at least that much.
Then we have where it says there are 3 5/12 less cups of raisins we need to subtract this from 5 3/4 cups and we get 2 4/12 of raisins.
Final equation: 5 3/4+2 4/12= 10 1/12 cups
Hope this helps!!
Robert bought an LED television set that is 32 inches long. The diagonal length
measures 40 inches. What is the width of the television screen?
Pythagorean
Jose purchased a delivery van for his business through an online auction. His winning bid for the van was $34,750. In addition, Jose incurred the following expenses before using the van: shipping costs of $1,470; paint to match the other fleet vehicles at a cost of $1,590; registration costs of $4,836, which included $4,600 of sales tax and an annual registration fee of $236; wash and detailing for $141; and an engine tune-up for $318.
Required:
What is Jose’s cost basis for the delivery van?
Answer:
Jose's cost basis for the delivery van = $42,410
Step-by-step explanation:
Cost basis of a fixed asset can be described the original value of an asset for tax purposes which includes the purchase price, shipping, installation, sales tax, and other costs incurred that are related to the purchase of the fixed asset and to make it be in conformity with other assets in its class.
Based on this explanation, Jose's cost basis for the delivery van can be calculated as follows:
Jose's cost basis for the delivery van = Winning bid + Shipping costs + Cost of painting to match other fleet vehicles + Sales tax = $34,750 + $1,470 + $1,590 + $4,600 = $42,410
Find the circumference of a circular dog pen that has a radius of 35 meters. Use 227 for π.
Answer:
220
Step-by-step explanation:
Circumference of a circle is=diameter times pi
70=diameter because diameter is twice the radius
(22/7)70 is your answer
The following data points represent the number of guests at Hunter’s Ribeye BBQ House each day since they opened.
96, 279, 255, 254, 75, 211, 271, 291, 102
Display the data in a histogram.
Step-by-step explanation: first one goes to 2 second one goes to 0 and third one goes to 6 I said "get help" on khan academy
The histogram for the given data is displayed below.
What is histogram?A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.
The given data is 96, 279, 255, 254, 75, 211, 271, 291, 102.
Data in order 75, 96, 102, 211, 254, 255, 271, 279, 291.
From the graph, with intervals 0-74 there are 0 observations
75-149 there are 3 observations
150-224 there is 1 observation
225-299 there are 5 observations
Therefore, the histogram for the given data is displayed below.
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Kammys mom gave her $85 to go shopping if she spent $118 how much of her own money did curry use
Biased or Random?
Michael wants to determine the amount of time that 7th graders spend studying for tests. He surveys 80 7th grade students as they get to school.
In ΔUVW, w = 11 cm, ∠W=8° and ∠U=132°. Find the area of ΔUVW, to the nearest square centimeter.
Answer:
208
Step-by-step explanation:
Delta math
A friend tells you about a recent study dealing with the number of years of teaching experience among current college professors. He remembers the mean but can't recall whether the standard deviation was 6 months, 6 years or 16 years. Which was it?
Answer:
6 years
Step-by-step explanation:
Please help
❤️❤️❤️❤️❤️❤️❤️❤️
Thanks besties
Answer:
62.33 degrees Fahrenheit.
Anytime bestie <3
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Estimate the sum by rounding the numbers to the nearest hundred and then adding: 539 + 221
Answer:
700
Step-by-step explanation:
539 rounded to 500
221 rounded to 200
500 plus 200 is 700