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
Which one doesn't belong
Answer:
Doesnt belong to what?
Step-by-step explanation:
Plz help will mark Brainliest What is the length of BC
Is this a test? Cause im pretty sure this is cheating
Sine and Cosine of any angle will always give a number less than 1. Why? (*HINT* Think about fractions and how Sine is oppositehypotenuse and Cosine is adjacenthypotenus )
Answer:
Hope this helped!
Step-by-step explanation:
The most easiest way to understand this is by considering a simple right angled triangle:-
For any right angled triangle
sin(theta)=perpendicular/hypotenuse
cos(theta)=base/hypotenuse
Since hypotenuse is the largest side so neither sin nor cos could be larger than 1.
Sleep habits of New Yorkers. New York is known as the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. The point estimate suggests New Yorkers sleep less than 8 hours a night on average. Is the result statistically signicant? n x s min max25 7.73 0.77 6.17 9.78(a) Write the hypotheses in symbols and in words.(b) Check conditions, then calculate the test statistic, T, and the associated degrees of freedom.(c) Find and interpret the p-value in this context. Drawing a picture may be helpful.(d) What is the conclusion of the hypothesis test?(e) If you were to construct a 90% condence interval that corresponded to this hypothesis test, would you expect 8 hours to be in the interval?
Step-by-step explanation:
1.
the null hypothesis:
H0: u = 8 hours ( new Yorkers sleep for 8 hours)
The alternate hypothesis;
H1: u ≠ 8 hours ( new Yorkers sleep less than 8 hours)
b.
test statistic
t = (barX - u)/s/√n
= 7.73-8/0.77/√25
= -1.7532
degree of freedom = n-1
= 25-1 = 24
c.
p(value)
= p(t < -1.7532)
= 0.046
obviously we can see that the p value is less than 0.05 alpha level so we reject the null hypothesis.
d
The data gives strong evidence that new Yorkers sleep less than 8 hours on average every night.
e.
at 90% level of confidence
we have
7.73-0.26334, 7.73+0.26334
= 7.466, 7.993
please check attachment
thank you!
Pythagoras theorems
Question 7
Answer:
i think the answer is 16/3
3. Determina la solución dex en la siguiente ecuación. 10x + 3 = 9 x -2
Answer:
x=5
Step-by-step explanation:
10x + 3 = 9 x -2
10•x + 3 = 9•x -2
Expand & simplify
(2x + 3)(x + 2)
2ײ+ 7× + 6
♥plz give me brain list it would help a lot! ♥
♥ お力になれて、嬉しいです！♥
PLEASE MATCH THE ANSWERS
Answer:
Step-by-step explanation:
Triangle is
obtuse and
isosceles
Solve the equation-17x-16=-135
Answer:
x=7
Step-by-step explanation:
Add 16 to both sides
-17x-16+16=-135+16
Simplify
-17x=-119
Divide both sides by -17
-17x/-17=-119/-17
Simplify
x=7
Hope this helped! :)
are the triangles congruent if so state how they are congruent.
Answer:
Step-by-step explanation:
They are congruent.
SSS
What is the change in temperature from 20 degrees F dropping to -33 degrees F?
Answer:
53 degrees.
Step-by-step explanation:
Your just finding the difference or the "change" So I did 20+33=53.
Because if it is 20 degrees and has to get to -33 then to get to 0 degrees it's minus 20 then to get to -33 its minus 33 so total I have changed the temp by 53 degrees. Sorry, this was so confusing it's very hard to word.
PLEASE MARK BRAINLIEST
What is the simplest form for 15:25
Answer:
3/5
Step-by-step explanation:
Both can be divided by 5. So, 15 divided by 5 is 3, and 25 divided by 5 is 5! Hoped this helped :)
Find the slope using the formula.
(3,-2) and (3, 6)
Answer:
m = undef
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, -2)
Point (3, 6)
Step 2: Find slope m
Substitute: [tex]m=\frac{6+2}{3-3}[/tex]Add/Subtract: [tex]m=\frac{8}{0}[/tex]Divide: m = undefWhen we divide anything by zero, we will get undefined. Therefore, this would be a vertical line.
Grandma made an apple pie. Josh and his brother Joe finished 4/5 of it. Then, three friends came over and shared the leftover pie. How much of the pie did each friend eat?
Answer:
each freind would get 1/15 of the pie
Step-by-step explanation:
1/5 divide by 3 equals 1/15
What I Know (Pre-Test)
Click the pin
I am still grade 5
Okay I ned high age so I can get in Brainly ph
Dis is my 3/5 account
Answer:
1. 1/7 x 7/1= 1
2. 5/9 x 9/5= 1
3. 23/11 x 11/23= 1
4. 13/61 x 61/13= 1
5. 8/9 x 9/8= 1
Explanation:
when finding the reciprocal of a fraction, the numerator becomes the denominator, and the denominator becomes the numerator. keep in mind that when you multiply a fraction by its reciprocal, it will always equal 1.
An electrician needs to buy 12 3/5 yards of electrical wire. Wire is sold on spools that have 3 1/2 yards of wire in each. How many whole spools of wire does the electrician need to buy? Write your answer as a decimal.
Given: log 5=a, log 3=b, log 2=c. Find: log30 8
Answer:
log 30 = abc
Step-by-step explanation:
Given:
log 5 = a
log 3 = b
log 2 = c
Find:
log 30
Computation:
log a + log b + log c = log abc
log 5 + log 3 + log 2 = log 30
log 30 = (a)(b)(c)
log 30 = abc
The enrollment at a small college each year is growing at a rate of 2%. If the college has 2,700 students in 2015, then which of the following models the population n years from 2015?
Complete the table of values for this equation:
y = 4x +30
Enter your answer by filling in the boxes
Answer:
42, 46, and 50.
Step-by-step explanation:
We need to plug in each x value to find the y values.
1) y = 4(3) + 30
y = 12 + 30
y = 42
2) y = 4(4) + 30
y = 16 + 30
y = 46
3) y = 4(5) + 30
y = 20 + 30
y = 50
In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is:_________.
Answer: H0 : β1 = β2 = β3 = β4 = 0
Step-by-step explanation:
The null hypothesis refers to a hypotheses that simply states that no relationship exists between two phenomenons that are being tested.
In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is H0 : β1 = β2 = β3 = β4 = 0.
a city depatment uses an average of 25 10cent,35 15 cent and 350 20 cent postage stamps each day.the total cost of stamps used by the department in a 5 day period is
A plane begins its takeoff at 2:00 P.M. on a 2200-mile flight. After 12.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.A) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 303 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 303 mi/hr and decelerating from 303 mi/hr.B) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 152 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 152 mi/hr and decelerating from 152 mi/hr.C) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 88 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 88 mi/hr and decelerating from 88 mi/hr.D) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 117 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 117 mi/hr and decelerating from 117 mi/hr.E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.
Answer:
E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.
Step-by-step explanation:
In this question we have the average velocity v = 2200/12.5
= 176miles/hr
The function Which describes the velocity of a plane is continuous. At point t, f(t) is equal to 176. So by the mean value theorem we arrive at a conclusion that the velocity is going to attain the speed of 100 miles per hour twice. The first time is during acceleration, and the second time is during deceleration. So by this, the answer to this question is option E.
Complete the steps to solve 4.5 ÷ 0.5
Answer:
9
Step-by-step explanation:
4.5/0.5=9
9*0.5=4.5
hope this helps :3
if it did pls mark brainliest
Answer:
4.5 ÷ 0.5
45/10 ÷ 5/10
45/10 × 10/5
450/50
45/5
= 9
Step-by-step explanation:
This is for the roller coaster design packet, I need the graph, I’ll give Brainliest and give a handsome amount of 100 points
Answer:
i am going to work it out
Step-by-step explanation:
i am to ask my mom for help and tell you the answer
One half of the students in a school are girls, 3/5 of these girls are studying in lower classes. What fraction of girls are studying in lower classes?
Answer:
4
Step-by-step explanation:
4
Taft CLB Algebra 2 Unit 1: Systems of Linear Equations and Inequalities 2020-2021 / 3 of 13
Il Pause
Не
You earn $6 per hour babysitting and $10 per hour working at a gas station. You want to earn at least $90 to cover your weekly
expenses and have at most 15 hours available to work this week. The gas station requires you to work at least six hours per week.
Write a system of linear inequalities to model this situation.
OF B + G > 90
6B + 10G< 15
G> 6
O G 6B + 10G > 90
B + G > 15
G<6
OH 6B + 10G > 90
B + G < 15
G 26
Type here to search
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ENG 9:20 AM
921
Answer:
[tex]B + G \leq 15[/tex]
[tex]6B + 10G \geq 90[/tex]
Step-by-step explanation:
Given
Represent Babysitting with B
Represent Gas Station with G
Total workhours = At most 15
Earnings = At least $90
First, we need to represent the work hours as inequality
B + G = At most 15
At most 15 means less than or equal to 15.
So, we have:
[tex]B + G \leq 15[/tex]
Next, we represent the earnings as inequality.
6 hours of babysitting is: 6B
10 hours at gas station is: 10G
So:
6B + 10G is at least 90
At least 90 means greater than or equal to 90
So, we have:
[tex]6B + 10G \geq 90[/tex]
3(x+6)=3x + _
Please asap
Answer:
3x + 18
General Formulas and Concepts:
Pre-Alg
Distributive PropertyStep-by-step explanation:
Step 1: Define expression
3(x + 6)
Step 2: Expand
Distribute 3 to both terms: 3x + 18Answer
3x+18 or 3x+9 but I'm not sure which one
A is what percent of B? c A = 10 km, B = 1 km
Answer:
1000%
Step-by-step explanation:
Answer:
1000%
Step-by-step explanation:
The comparison is 10km and 1km, right?
A is 10 times bigger than B.
100% times 10 is 1000%
Hope this helps. :)
What is the answer I’m dumb
Answer:
9units
Step-by-step explanation:
Cathy's food usually costs $212.90 a week. One week, it cost $198.98. How
much less money did she spend that week?
Answer:
$13.92
Step-by-step explanation:
$212.90-198.98