Answer: it’s 1900
Step-by-step explanation:
The value of the car 21 years after it was purchased, to then earest hundred dollars is $1900.
What is the value of the car in 21 years?
When an asset depreciates, it means that it declines in value with the passage of time.
The formula for calculating future value:
FV = P (1 +-r)^n
FV = Future value P = Present value R = rate of decline = 50%N = number of years : 21 / 4.5 = 4.6749,000(0.5^4.67) = $1900
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An insurance company checks police records on 582 accidents selected at random and notes that teenagers were at the wheel in 91 of them. Which is a correct 90% confidence interval for the proportion of all auto accidents that involve teenage drivers
Answer:
The 90% confidence interval is [tex]0.1316 < p < 0.1812[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 582
The number of teenagers at the wheel is k = 91
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{91}{582}[/tex]
=> [tex]\^ p = 0.1564[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.1564 (1- 0.1564)}{582} } [/tex]
=> [tex]E = 0.0248 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.1564 -0.0248 < p < 0.1564 + 0.0248[/tex]
=> [tex]0.1316 < p < 0.1812[/tex]
Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) b. Determine the average time customers spend in the system. (Do not round intermediate calculation. Round your answer to 2 decimal places.) c. Determine the average number of customers in the system. (D
Answer:
a. 0.45 customers
b. 0.0145 hours
c. 1.05 customers
Step-by-step explanation:
Missing word "A vending machine dispenses hot chocolate or coffee. service time is 30 seconds per cup and is constant. customers arrive at a mean rate of 72 per hour, and this rate is Poisson-distributed."
λ = 72 customers per hours
μ = 120 customers per hours
a. Lq = λ²/ 2μ(μ-λ)
Lq = 72² / 2(120)(120-72)
Lq = 9/20
Lq = 0.45 customers
b. Ws = Wq + 1/μ = Lq/λ + 1/μ
Ws = 9/20 customers/72 customers + 1/120 customers
Ws = 0.0145 hours
c. Ls = Lq + r
Ls = 9/20 + 72/120
Ls = 1.05 customers
Three types of tickets for a football game are available: sidelines, goal-view, and upper-deck. The sidelines tickets cost $25 more than the goal-view tickets and $50 more than the upper deck tickets. The goal-view tickets cost $13 less than twice the cost of the upper-deck tickets. Determine the price of each type of ticket.
Answer:
Upper deck = $38
Goal View = $63
Sidelines = $88
Step-by-step explanation:
Represent
- Sidelines with S
- Goal-view with G
- Upper-deck with U
We have that:
[tex]S = 25 + G[/tex]
[tex]S = 50 + U[/tex]
[tex]G = 2U - 13[/tex]
Required
Solve for S, G and U
Substitute 25 + G for S in the second equation
[tex]25 + G = 50 + U[/tex]
Make G the subject
[tex]G = 50 -25+ U[/tex]
[tex]G = 25+ U[/tex]
Substitute 25 + U for G in the third equation
[tex]25 + U = 2U - 13[/tex]
Collect Like Terms
[tex]U - 2U = -13 - 25[/tex]
[tex]-U = -38[/tex]
[tex]U = 38[/tex]
Substitute 38 for U in [tex]G = 25+ U[/tex]
[tex]G = 25 + 38[/tex]
[tex]G =63[/tex]
Substitute 63 for G in [tex]S = 25 + G[/tex]
[tex]S = 25 + 63[/tex]
[tex]S = 88[/tex]
what is sigma notation of 3 + 7 + 11 + 15 + 19
Answer:
Step-by-step explanation:
Given
sigma notation of 3 + 7 + 11 + 15 + 19
Solution
Sigma notation=
Sigma
In ΔRST, t = 4.1 inches, r = 7.1 inches and ∠S=45°. Find the length of s, to the nearest 10th of an inch.
Answer:
The length of s is 5.1 inches to the nearest tenth of an inch
Step-by-step explanation:
In Δ RST
∵ t is the opposite side to ∠T
∵ r is the opposite side to ∠R
∵ s is the opposite side to ∠S
→ To find s let us use the cosine rule
∴ s² = t² + r² - 2 × t × r × cos∠S
∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°
→ Substitute them in the rule above
∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)
∴ s² = 16.81 + 50.41 - 41.1677568
∴ s² = 26.0522432
→ Take √ for both sides
∴ s = 5.10413981
→ Round it to the nearest tenth
∴ s = 5.1 inches
∴ The length of s is 5.1 inches to the nearest tenth of an inch
Answer:
5.1
Step-by-step explanation:
delta math
The model shows the expression 21 + 9.
Which expression is equivalent to this sum?
3(7+3)
307) + 3
0 3+7+3
703 + 3)
Answer:
a
Step-by-step explanation:
I need help on this like rn
Last year, 180 new houses were built in a neighborhood. So far this year, 5/6 of them have been sold. How many new houses have been sold this year?
Answer:
60 houses.
Step-by-step explanation:
160 divided by 8 = 20
Multiply 20 by 3 and you get 60
Find the absolute value of |-3+8i|
Answer:
the anwser is
postive 5
Find measure of angle A
Answer:
116°
Step-by-step explanation:
3x-4+9x+17+6x-31=180
18x-18=180
+18 +18
18x=198
18x/18=198/18
x=11
a=9x+17
a=9(11)+17
a=99+17
a=116°
hopefully this helps :)
Angle A : 116°
Further explanationThe sum of all the angles in the triangle is 180°
∠A+∠B+∠C=180°
[tex]\tt 9x+17+3x-4+6x-31=180\\\\18x-18=180\\\\18x=198\\\\x=11\\\\A=9.11+17=116^0[/tex]
Ok So I need help with this question do u guys think u can help me out? :
You buy 3.18 pounds of apples , 1.45 pounds of peaches , and 2.72 pounds of oranges . What is your total bill?
Answer: you have to add
Step-by-step explanation:
3.18+1.45+2.72 = 7.35
Which of the following is an accurate description of the scatterplot?
A. The more seeds that are planted per square foot the smaller the expected yield of the crop.
B. the more seeds that are planted per square foot the larger the expected yield of the crop.
C. The expected yield of a crop is high whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square is around 60.
D.The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square is around 60.
Answer:
WARNING! THE PERSON ABOVE ME IS WRONG!
A is incorrect, it does NOT decrease, it goes in a parabola.
This makes (D) the correct answer.
The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square is around 60.
D.The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large.
A larger yield is expected when the number of seeds per square is around 60.
What is a scatterplot?A scatter plot is a particular kind of plot or mathematical diagram that displays values for typically two variables for a collection of data.
It uses Cartesian coordinates. A second variable can be shown if the points are coded.
Here x coordinate represents the no. of seeds planted per square foot and the y coordinate represents crop yield per square foot.
If we observe the given scatterplot we see that before and after 60 seeds planted per square foot crop yield decreases.
∴ Every time there are few or many seeds planted per square foot, the crops predicted yield is poor. When there are about 60 seeds per square, a greater yield is anticipated.
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samantha had $299 in her bank account. If she go shopping and spend $348, what will her bank account be.
Answer:
-49
Step-by-step explanation:
You subtract 348 from 299 and you get -49 which means she is in debt
Alguien me dice la respuesta
A running trail is 63 miles long. Leigh plans on
running this trail over the course of 4 days. How
much of the trail will she have to run each day?
Answer:
63/4 or 15 3/4 miles each day
Step-by-step explanation:
Answer:15.75
Step-by-step explanation:63/4 = 15.75
If the diameter of a circle is 50 yards, the radius is what
Answer:
25 yards
Step-by-step explanation:
radius is half of what the diameter is.
50 / 2 = 25
Answer:
radius is 25
Step-by-step explanation:
hope this helps
if so please mark brainlist
thx
kathy bought 2 1/2 dozen pencils.There are 12 pencils in a dozen.How many pencilsdid kathy buy?
Answer:
12+12=24 1/2 a dozen=6, 12+12+6=30 pencils
Step-by-step explanation:
hope this helps lol have a good day
can someone please give me a hand with this ?
Answer:
C.) A' (-5,3), B' (-1,3), C' (4,-3)
Step-by-step explanation:
Translation rule: (x, y + 2)
A (-5,-5) -> A' (-5, -5 + 2) -> A' (-5, -3)
B (-1,1) -> B' (-1, 1 + 2) -> B' (-1, 3)
C (4,-5) -> C' (4, -5 + 2) -> C' (4, -3)
Cathy bough treats at her local bakery the past two weeks. The first week she bought 6 donuts and 3 muffins and paid $42. The second week she bought 3 donuts and 2 muffins and paid $24. How much does it cost for each donut and each muffin?
Answer:
Donuts are $4 and Muffins are $6
Step-by-step explanation:
Start by setting up both equations:
6d+3m=42
3d+2m=24
Then multiply the second equation by -2:
-6d-4m=-48
Then subtract the second equation by the first:
6d+3m=42
-6d-4m=-48
The sixes will cancel out and you'll have the equation:
-m=-6 or m=6
This tells you that each muffin is $6
Then you want to plug in six for m in one of the original equations:
3d+2(6)=24
Then solve for d:
3d+12=24
3d=12
d=4
This tells you that each dount is $4
you're a bank teller. A client wants to encash a check of Php 52,983. The client asked you to give a cash breakdown for easy reference.you're to accomplish the form.
plssssss help thank you
Answer:
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1. Find m21 if mZCUB = 78.
Answer:
m < 1 = 78 - 48 = 30 .......
x less than the quantity y divided by 9 is more than 21.
What is a way to write this sentence as an algebraic inequality?
Answer:
It's C.
Step-by-step explanation:
Did the test
The inequality is y/9 - x > 21.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
x less than the quantity y divided by 9 is more than 21.
Now, writing the mathematical Inequality for the given statement is
x less than the quantity y divided by 9
y/9 -x
and, more than 21.
y/9 - x > 21
Hence, the inequality is y/9 - x > 21.
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The play director spent 190190190 hours preparing for a play. That time included attending 353535 rehearsals that took varying amounts of time and spending 93 \dfrac{3}{4}93
4
3
93, start fraction, 3, divided by, 4, end fraction hours on other responsibilities related to the play.
Answer:
what does this mean you just put random numbers right?
Step-by-step explanation:
Jeremiah works 5 days a week. If he earns $225 a day, how much does he earn per week?
Answer:
1125$
Step-by-step explanation:
225 x 5 (because he only works 5 days a week)
How many and what
type of solutions does a
quadratic have with a
discriminant = -9?
Answer:
The value of the discriminant tells you whether the quadratic has 2 solutions, 1 solution, or no real solutions. If b2 – 4ac simplifies into a positive number, then the quadratic has 2 solutions. If b2 – 4ac simplifies into a 0, then the quadratic has 1 solution.
Step-by-step explanation:
Suppose a particular brand of energy bars has come up with a new recipe. They want to know how many energy bars they need to test for calorie content in order to be 94% confident that the sample mean will be within 3 calories of the true mean
Complete Question
Suppose a particular brand of energy bars has come up with a new recipe. They want to know how many energy bars they need to test for calorie content in order to be 94% confident that the sample mean will be within 3 calories of the true mean? Suppose there is a population standard deviation of 20 calories
Answer:
The value is [tex]n =157 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 3[/tex]
The standard deviation is [tex]\sigma = 20[/tex]
From the question we are told the confidence level is 94% , hence the level of significance is
[tex]\alpha = (100 - 94 ) \%[/tex]
=> [tex]\alpha = 0.06[/tex] \
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.881[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{1.881 } * 20 }{3} ] ^2[/tex]
=> [tex]n =157 [/tex]
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How many cups of potatoes are needed if 1 cup of diced ham is used?
Answer:
i think 7 but i am not 100% sure
Step-by-step explanation:
Gabe invested $350 in baseball cards. If he lost d dollars when he sold the cards, which expression represents the amount of money he received for his baseball cards? 350d d minus 350 350 minus d d + 350
Answer:
C/ 350 minus d
Step-by-step explanation:
i did the quiz
Answer:
c
Step-by-step explanation:
edg 2021
I need help please and thanks
Answer:
1.) 3
2.) 11
3.)17
Step-by-step explanation:
you would want to add them up then multiply
Answer:
M<1=55
M<2=55
M<3= 70
Step-by-step explanation:
Angle 1 and 2 are equal