Answer:
It would take 5 years for the car to have a value of less than $25,000
Step-by-step explanation:
Exponential Decaying Model
The exponential function is often used to model natural decaying processes, where the change is proportional to the actual quantity.
We have the initial value of a car is $40,000. Each year it depreciates by 10%.
Thus the first year its value is 90% of the initial value:
V1 = 90 * $40,000 / 100 = $36,000
By the second year its value is 90% of $36,000:
V2 = 90 * $36,000 / 100 = $32,400
Note the value for a year n is the original value multiplied by 90% (or 0.9) to the power of n:
[tex]Vn = $40,000 \cdot 0.9^n[/tex]
To find the number of years needed to have a value of less than $25,000, we solve the equation:
[tex]40,000 \cdot 0.9^n = 25,000[/tex]
Dividing by 40,000:
[tex]0.9^n = 25,000/40,000 = 0.625[/tex]
Taking logarithms:
[tex]n\log 0.9=\log 0.625[/tex]
[tex]n=\log 0.625 / \log 0.9[/tex]
n =4.5
We'll round up to n = 5
It would take 5 years for the car to have a value of less than $25,000
Marine biologists have been studying the effects of acidification of the oceans on weights of male baluga whales in the Arctic Ocean. One of the studies involves a random sample of 16 baluga whales. The researchers want to create a 95% confidence interval to estimate the true mean weight of male baluga whales. Their data follow a normal distribution. The population standard deviation of weights of male baluga whales is ????=125 kg, and the researchers feel comfortable using this standard deviation for their confidence interval.
Assuming the relevant requirements are met, calculate the margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean.
a. 15.31 kg
b. 51.40 kg
c. 61.25 kg
d. 80.49 kg
Answer:
c. 61.25 kg
Step-by-step explanation:
The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean.
a. 15.31 kg
b. 51.40 kg
c. 61.25 kg
d. 80.49 kg
Margin of Error Formula= z × Standard deviation/√n
95% confidence interval = 1.96
Standard deviation = 125kg
n = 16 samples
Margin of error= 1.96 × 125/√16
= 1.96 × 125/4
= 245/4
= 61.25kg
The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean is 61.25kg
Answer This math question and ill give brainliest
Answer:
16 miles
Step-by-step explanation:
there are 8 units between the points each unit is 2 miles so 8*2= 16
the sum of 8.23, 7.96 and 17.65
Answer:
इएइहेइएबे!!न्बेओएहेजेने
If y varies jointly as x and z and inversely as the square of w, and y = 3 when x = 3, Z = 10, and w = 2, then y = 4 when x = 4, z = 20, and w= 4.
True or False ?
Answer:
True ; it is true
Step-by-step explanation:
The statement that y = 4 when x = 4, z = 20, and w= 4 is not true because the constant of proportionality is not equals to 2 / 5.
What is variation?Variation describes a simple relationship between two variables.
Therefore, y varies jointly as x and z and inversely as the square of w
y ∝ xz ∝ 1 / w²
Therefore,
y = kxz / w²
where
k = constant of proportionality
Hence,
y = 3
x = 3
z = 10
w = 2
yw² / xz = k
k = 3 × 2² / 3 × 10
k = 12 / 30
k = 6 / 15 = 2 / 5
Therefore, let's test for y = 4 when x = 4, z = 20, and w= 4.
k = 4 × 4² / 4 × 20
k = 64 / 80
k = 16 / 20 = 4 / 5
learn more on variation here: https://brainly.com/question/17068737
#SPJ2
How much does Jimmy earn each week, and
how much does he save by week 4?
A. Jimmy earns $3 each week, and he has $12 by
week 4.
B. Jimmy earns $3 each week, and he has $10 by
week 4.
C. Jimmy earns $6 each week, and he has $12 by
week 4.
D. Jimmy earns $6 each week, and he has $10 by
week 4.
Answer:
we need more info to answer this question
Answer:
A.
Step-by-step explanation:
12 divided by 4 equals 3. So if he gets 3 dollars a week by the fourth week he should have 12 dollars. It could also be 4 times 3 equals 12.
Solve for x in the expression:
3 + 2x + 5 =0
Answer:
x= -4
Step-by-step explanation:
3 + 2x + 5 = 0
8 + 2x = 0
2x = -8
2x/2 = -8/2
x= -4
2. An inaccurate clock loses
3.
minutes every 8 hours. How much time will the clock lose in one
week?
2. An inaccurate clock loses
3 1/2
minutes every 8 hours. How much time will the clock lose in one
week?
Answer: 588 min
24x7 x3.5
What were the coordinates of point B after being translated 4 units left
Answer: B' (x-4,y)
Step-by-step explanation: A figure which is moved from one location to antoher, without changing its size, shape or orientation, is a figure that went through translation.
So, when a point is translated, it means it changed its position.
Point B has x- and y-coordinates: B(x,y)
Point B' after being translated 4 units left means:
(x,y) → (x-4,y)
In other words, translated point B has coordinates
B(x-4, y)
Because moving left is saying the point is moving towards the negative "side" of the x-axis.
Answer Choices:
A) (-6, -1)
B) (6, -1)
C) (-6, 1)
Help Number three please!!!
Step-by-step explanation:
108-ambulance
100- police
1098-child laber
Which graph shows a proportional relationship between the number of hours of renting a canoe and the total amount spent to rent the canoe?
Answer:
Uh pick a graph that is straight line and passes through 0
Step-by-step explanation:
You don't have screenshot
Answer:
This would be simaler to the answer
Step-by-step explanation:
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 54 and 8, 72. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2601 with a mean life of 1191 minutes. If the claim is true, in a sample of 167 batteries, what is the probability that the mean battery life would differ from the population mean by less than 3.5 minutes?
Answer:
i do not know i will try .
Solve for g.
g + (-5) = 27
answer: g=32 u should simplify
In order to become a member at a gym, there is a $75 startup fee. You then have to pay $15 per month. Write an equation in slope-intercept form modeling this situation where y represents the total cost and x represents the number of months spent at the gym
Answer:
y = 15x +75
Step-by-step explanation:
15 is the number of months and changes based on how many months
75 doesn't change, remains constant.
BLANK% of 50 shirts is 2 shirts.
Answer:
4%
Step-by-step explanation:
2/50 is 4....I believe.
Write 0.45 as a fraction.
Answer:
9/20
Step-by-step explanation:
0.45 = 45/100
45/100=9/20 (divide numerator and denominator by 5)
Which equation correctly shows the relationship between the numbers 6,560 and 656?
Answer:
656×1000
Step-by-step explanation:
Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal placesa. If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575d. If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480.e. In part c and part d, why can the central limit theorem be used even though the sample size does not exceed 30?
Answer:
a. 0.2898
b. 0.0218
c. 0.1210
d. 0.1515
e. This is because the population is normally distributed.
Step-by-step explanation:
Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal places
We are using the z score formula when random samples
This is given as:
z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
a.If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.
For x = 1500, n = 100
z = 1500 - 1518/325/√100
z = -18/325/10
z = -18/32.5
z = -0.55385
Probability value from Z-Table:
P(x<1500) = 0.28984
Approximately = 0.2898
b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600
For x = 1600, n = 64
= z = 1600 - 1518/325/√64.
z= 1600 - 1518 /325/8
z = 2.01846
Probability value from Z-Table:
P(x<1600) = 0.97823
P(x>1600) = 1 - P(x<1600) = 0.021772
Approximately = 0.0218
c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575
For x = 1550, n = 25
z = 1550 - 1518/325/√25
z = 1550 - 1518/325/5
z = 1550 - 1518/65
= 0.49231
Probability value from Z-Table:
P(x = 1550) = 0.68875
For x = 1575 , n = 25
z = 1575 - 1518/325/√25
z = 1575 - 1518/325/5
z = 1575 - 1518/65
z = 0.87692
Probability value from Z-Table:
P(x=1575) = 0.80974
The probability that they have a mean between 1550 and 1575
P(x = 1575) - P(x = 1550)
= 0.80974 - 0.68875
= 0.12099
Approximately = 0.1210
d. If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480
For x = 1440, n = 16
z = 1440 - 1518/325/√16
= -0.96
Probability value from Z-Table:
P(x = 1440) = 0.16853
For x = 1480, n = 16
z = 1480 - 1518/325/√16
=-0.46769
Probability value from Z-Table:
P(x = 1480) = 0.32
The probability that they have a mean between 1440 and 1480
P(x = 1480) - P(x = 1440)
= 0.32 - 0.16853
= 0.15147
Approximately = 0.1515
e. In part c and part d, why can the central limit theorem be used even though the sample size does not exceed 30?
The central theorem can be used even though the sample size does not exceed 30 because the population is normally distributed.
Please help im stuck
Answer:
B
Step-by-step explanation:
substitution because
if m∠3=m∠7, and m∠7=m∠6 you can substitute
m∠7 to m∠3 and get m∠3=m∠6
Un banco de México es comprado por otra institución de origen español. El nuevo director, decide fusionar la operación entre ambas instituciones donde se aprovisionen servicios de internet desde España a México. Para lograr lo anterior, ¿qué debe plantear el director como proyecto para unir ambas operaciones?
Question:
A bank in Mexico is bought by another institution of Spanish origin. The new director decides to merge the operation between both institutions where internet services are provided from Spain to Mexico. To achieve this, what should the director propose as a project to unite both operations?
My mom translated this for me and I am writing the reply with Google Translate sorry if it sucks.
Ésta es una pregunta muy específica. Creo que dependería de la preferencia del director y de los fondos.
what is the equation of a line perpendicular to line with equation 2x-5y=5
Answer:
its -5
Step-by-step explanation:
Will you always be able to use rigid transformations to verify that two shapes are congruent or not congruent? If yes, why is that the case? If not, why not? ( plz answer its a big grade plzzz thx you to whoever helps)
Answer:
Yes
Step-by-step explanation:
Write an equation in slope intercept form and in standard form for the line passing through (4,9) and perpendicular to x=-6
Answer:
Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hwgsvsd d jxvsd
dvsud sgsgs hsysvdudbd dvyd dhsgtsjd vsytwgsud gsyfwuyebdbhys. dusgcejd b
b. Multiply (3 x - 1) by (x + 1)
Answer:
(3x - 1)(x + 1) = 3x² + 2x - 1
Step-by-step explanation:
[tex] \rm \longrightarrow (3x - 1)(x + 1) \\ \\ \rm \longrightarrow 3x(x + 1) - 1(x + 1) \\ \\ \rm \longrightarrow (3x)(x) + (3x)(1) + ( - 1)(x) + ( - 1)(1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x + ( - x ) + ( - 1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x - x - 1 \\ \\ \rm \longrightarrow 3 {x}^{2} + 2x - 1[/tex]
Answer:
(3x - 1)(x + 1) = 3x² + 2x - 1
Step-by-step explanation:
got it right on edge
Which of the restricted domains will produce an inverse function for tangent ?
X=-pi, x= pi
X=-pi/2, x=pi/2
X=0, x=pi/2
X=0, x=2pi
Answer: B) x=-pi/2 , x=pi/2
Step-by-step explanation:
Just did it!
Answer:
B
Step-by-step explanation:
Edge 2020
The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H0 : p=0.28 vs Ha : p<0.28 when the sample has n=800, and p^=0.217 with SE=0.01.
Required:
Find the value of the standardized z-test statistic.
Answer:
Z = -6.3
Step-by-step explanation:
Given that:
[tex]\mathbf{H_o :p= 0.28}[/tex]
[tex]\mathbf{H_o :p < 0.28}[/tex]
Since the alternative hypothesis is less than 0.28, then this is a left-tailed hypothesis.
Sample sixe n = 800
[tex]\hat p[/tex] = 0.217
The standard error [tex]S.E(p) = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]S.E(p) = \sqrt{\dfrac{0.28(1-0.28)}{800}}[/tex]
[tex]S.E(p) \simeq0.015[/tex]
Since this is a single proportional test, the test statistics can be computed as:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.217- 0.28}{0.01}[/tex]
Z = -6.3
12cm and 9cm respectively, find its length. (एउटा कोठाको चार भित्ताको क्षेत्रफल 420 वर्ग
The area of four walls of a room is 420 sq. cm. If the length and breadth of the room are
area of four walls of the room? (परिमिती 32 साम
कोठाको चार भित्ताको क्षेत्रफल कति होला?)
सेमि छ । यदि उक्त कोठाको लम्बाई र चौडाई क्रमशः 12cm र 9 cm भए उचाई पत्ता
लगाउनुहोस ।
Given Length of Cuboid = 12cm
Given Breadth of Cuboid = 9cm
Given height of Cuboid = 8cm
Total Surface area of cuboid = 2(lb + bh + hl)
where, l stands for legth of the cuboid, b stands for breadth of the cuboid and h stands for height of the cuboid.
Put the given values of l,b and h in the formula
=> Total surface area of cuboid = 2((12×9)+(9×8)+(8×12))
=> 2(108 + 72 + 96)
=> 2(180 + 96)
=> 2 × 276
=> 552 sq. cm is the total surface area of cuboid
Which of the following ratios is not equivalent to 2:10
A.1/5
B.2/5
C.4/20
D.6/30
Answer:
D because 6/30 is not the same as 2:10
Answer:
2/5 is not equibalent to 2:10
Step-by-step explanation:
2:10
1/5 × 2 = 2/10
2/5 × 2 = 4/10
4/20÷2 = 2/10
6/30÷3 = 2/10
A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?
Joe borrowed $3,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 6 years?
Answer:
1260
Step-by-step explanation:
I'm not 100% sure this is correct
Answer:
$1,260
Step-by-step explanation:
I = Prt
I = 3,000 (0.07) (6)
I = 3,000 (0.42)
I = 1,260
Joe paid $1,260 in 6 years.