Answer:
The number of years until the value of the car is 11300 dollars is 9 years.
Step-by-step explanation:
This can be calculated using the following formula:
Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)
Where;
N = Number of years until the value of the car is 11300 dollars
Purchase cost = $24,600
Annual depreciation rate = 5.5%
Annual depreciation expenses = $24,600 * 5.5% = $1,353
Value of the car = $11,300
Substituting the value into equation (1) and solve for N, we have:
$11,300 = $24,000 - ($1,353 * N)
$1,353 * N = $24,000 - $11,300
$1,353 * N = $12,700
N = $12,700 / $1,353
N = 9.38654841093865
Rounding to the nearest year as required by the question, we have:
N = 9
Therefore, the number of years until the value of the car is 11300 dollars is 9 years.
Answer:
14
Step-by-step explanation:
The population of a town was 5000 in 2010. The population grows at a rate of 1.4% annually.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2010.
(b) Estimate the population of the town in 2022. Show your work.
Answer:
a) P = 5000(1.014)^y
b) 5,908
Step-by-step explanation:
Here, we want to write an exponential growth model;
a)The model will be represented as;
P = 5000( 1.014)^y
where P is the population at a particular year after 2010
y is the number of years after 2010
b.) For 2022;
y = 2022-2010 = 12
P = 5000(1.014)^12
P = 5,908 approximately
Gina is using a grid to plan where to dig her garden. She has drawn this figure.
10
9
8
7
3
2
1
0 1 2
8 9 10
Gina decides to reflect her drawing so that Point G is at (1, 1). Which of the
following points will be a corner of her garden?
r
A (6,6)
B. (5, 1)
C. (0,0)
D. (5,7)
Find the measure of m<CED
Answer:
I think it might be 4072 I forget how to do this kind of math sorry.
Step-by-step explanation:
What is the inequality shown?
Answer:
-4<_ 3
Step-by-step explanation:
for a school field trip there must be 20 students to 2 adults, 30 students to 3 adults, and 60 students to 6 adults. identify the student to adult ratio.
Answer:
7
Step-by-step explanation:
...
6 divided by 2/3 = tell me thee answer in fraction form
Answer:
There wouldn't be a fraction form because its a whole number which is 9
Solve this equation
2/3x−1/5x=x−1
Answer:
x=15/8
Step-by-step explanation:
Given: 2/3x-1/5x=x-1
Determine LCD: 10/15x-3/15x=x-1
Combine like terms: 7/15x=x-1
Get x on one side only: -8/15x=-1
Divide the coefficient on both sides: x=15/8
an electrician charges a set fee of $150 for every house call and then charges an additional $70 per hour. write an equation for c, in terms of t, representing the total cost of the electricians services if the electrician spends t hours at the house working.
Answer:
y = 70x + 150
Step-by-step explanation:
y-intercept: 150
slope: 70x
Let x represent the amount of hours the electrician spent in the house.
Answer:
C=150+70t
Step-by-step explanation:
In this equation, C stands for the total cost, and t stands for the number of hours worked. Since 150 is a set fee it must be a constant in the equation and to must be added to the hourly cost. 70 must be multiplied by t because the electrician charges 70 dollars for every hour he works. Then, both the set fee plus the hourly fee together equal the total cost.
[tex] \sqrt[4]{(132) \div (143)} - 2[/tex]
simplify plz fast
Answer:
Step-by-step explanation:
Answer:
fourth root of 12*13^3
-------------------------------- - 2
13
Step-by-step explanation:
First focus on the 132/143 expression inside the 4th root function.
132/143 = 12/13
and so we have:
fourth root of 12/13 - 2
We must rationalize the denominator of the expression shown above. In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13. To do this, multiply that 12 by 13^3 and that 13 by 13^3:
12*13^3
fourth root of { -------------- }
13^3*13
This simplifies to:
fourth root of 12*13^3
--------------------------------
13
To obtain the final answer, subtract 2 as shown in the original problem:
fourth root of 12*13^3
-------------------------------- - 2
13
HELP NEEDED HELP! I SUCK at these
Answer:3:9
Step-by-step explanation: in this problem, it means "pears to apples". The "to" refers to the : . You put the amount of pears (3), then the "to" (:) then the amount of apples (9) to get your answer of 3:9. You can use this to help with other problems like this :D
I please need help finding the value of x.
Answer:
x = 7
Step-by-step explanation:
If DF = FE , then m∠D = m∠E ⇒ 5x = 3x + 14
2x = 14 ⇒ x = 7
Help me plz AM SO STUPID AT MATH!!!!U WILL GET BRAINLIEST !
Answer:
91.98 (I was wrong the first time.)
Step-by-step explanation:
I looked up how to find the volume(Picture 1)
Length of cube: 7.3m
Height of cube: 6m
Width of cube: 2.1m
(Picture 2)
When you add them all up you get 91.98
Answer:
54.39
Step-by-step explanation:
33.6 + 20.79
54.39
Is quadrilateral ABCD a rectangle why or why not?
Answer:
Yes, quadrilateral ABCD is rectangle.
Step-by-step explanation:
This is because by looking at the terminology of ABCD, there are 4 variables in total together. This is also because when you see 4 variables together as one, it is a 4 sided quadrilateral.
Feel free to give brainliest.
Have an amazing day!
What is the value of x that makes the statement true?
9x - 22 = 11x - 54
x =
Answer:
Step-by-step explanation:
9x-22=11x-54 take 9x from each side
-22=2x-54 add 54 to each side
32=2x divide by 2
16=x
5)Write an algebraic equation for each statement, and then SOLVE for x
The sum of a number and six is fourteen. __________________________
The quotient of fifteen and a number equals three. __________________________
The product of seven and a number equals fifty-six. __________________________
The difference between the square of a number four is twelve. __________________________
One quarter of a number is ten. __________________________
Three times a number decreased by nine equals eighteen. __________________________
Ten less than half a number equals fourteen. __________________________
A number divided by eight is nine. __________________________
The product of double a number and three equals twenty-four. __________________________
The product of twenty and a number equals one hundred and forty.
Answer:
Step-by-step explanation:
1. x+6=14
14-6=8
x=8
2. 15/x=3
15/3=x
x=5
3. 7*x=56
56/7=8
x=8
4. x^2-4=12
x=4, x=-4
5. 1/4x=10
x/4 = 10
x = 40
6. 3x-9=18
x=9
7. 1/2x-10=14
x/2-10=14
x=48
8.x/8=9
8*9=72
x=72
9.2x+3=24
2x=21
x=21/2
10.20*x=140
140/20=7
x=7
write your answer as a fraction or as a whole or mixed number 4 4/5 times 2 1/5
Answer:
It would be 10 14/25
Step-by-step explanation:
You could use a calculator for this, but that’d be cheating so let me explain.
We make both of our fractions improper first
4 4/5 = 24/5
2 1/5 = 11/5
We won’t need to change the “bottom number“ since they’re already the same, so let’s multiply them now.
24 x 11 = 264
————
5 x 5 = 24
Ten 24s can fit into 264 so our final number is
10 14/25
This table gives a few (x, y) pairs of a line in the coordinate plane.
x...........y
48 -30
61 -45
74 -60
What is the x-intercept of the line?
Answer:
The x-intercept is : (22, 0)
Step-by-step explanation:
From the table values, we determine that it is a straight line as there is a constant change in x and y values.
i.e.
Any previous value of y can be obtained by subtracting 15 from the successor y value.
i.e.
60 - 15 = 45
45 - 15 = 30
so if continue, we can also determine some of the other values of y such as
30 - 15 = 15
15 - 15 = 0
Also, there is a constant change in x values. so, any previous value of x is obtained by subtracting 13 from the successor x value.
i.e.
74-13 = 61
61-13 = 48
48-13=35
35-13=22
So, from the above analysis, we determine that when the value of y = 0, the value of x = 22.
We also know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.
so, at y = 0, the value of x = 22.
Therefore, the x-intercept is : (22, 0)
Answer:
(22, 0)
Step-by-step explanation:
I got it right on khan
The ratio of the number of boys to the number of girls in a class is 5 to 7. How many boys are there if there are 21 girls?
please helpp mecwith this question
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]
[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]
[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]
Inverse both sides
[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]
[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]
[tex]R = \frac{48}{10} \\ [/tex]
[tex]R = 4.8 \: \: Ω[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A player located 18.6 ft from the basket launches a successful jump shot from a height of 10 ft (level with the rim of the basket), at an angle θ = 36º and an initial velocity of v = 25 ft/s. Find the change of distance Δs of the toss if the angle changes by an amount Δθ. Hint: Use the following fact derived from Newton's Laws: An object released at an angle θ with initial velocity v ft/s travels a total distance [tex]s=\frac{1}{32} v^{2} sin(2\theta)[/tex]
Answer:
Step-by-step explanation:
You suck free points
The change of the distance travelled by the ball when the angle of launch
changes can be found by linear approximation.
The change in the distance, Δs, when the angle changes by Δθ in radians is approximately 0.211·Δθ.Reasons:
The distance of the player from the basket = 18.6 ft.
Height from which the jump shot is launched = 10 ft.
Angle of the jump shot = 36°
The initial velocity = 25 ft./s
According to Newton's Law of motion, the distance an object travels when
released at an angle θ, with an initial velocity, v, is given by the following
horizontal range formula equation;
[tex]s = \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta)[/tex]
[tex]\dfrac{ds}{d\theta} =\dfrac{d}{d\theta } \left( \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta) \right)= \dfrac{v^2 \cdot cos(2 \cdot \theta)}{16}[/tex]
By linear approximation, we have;
[tex]\Delta s = \dfrac{ds}{d\theta} \times \Delta \theta[/tex]
Which gives;
[tex]\Delta s =\dfrac{25^2 \cdot cos(2 \times 36^{\circ})}{16}\times \Delta \theta \approx 12.07 \times \Delta \theta[/tex]
360° = 2·π radians
[tex]12.07 ^{\circ} = \dfrac{2 \cdot \pi}{360} \times 12.07 \approx 0.211 \ radians[/tex]
Δs ≈ 0.211·Δθ
Therefore;
The change in the distance, Δs, when the angle changes by Δθ is 0.211·Δθ.
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The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. • x=0 • x= 19,800 • y= 0 • y= 19,800
Answer:
Step-by-step explanation:
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
Answer:
x = 0
y = 0
second question is b
third question is b
and forth is c
Step-by-step explanation:
Please help me ! I will mark brainlist
Answer:
900
Step-by-step explanation:
I used the box method
Answer:
ha
Step-by-step explanation:
Javier recibe $8.10 USD por cada pagina que traduce del español a l ingles. El mes pasado recibió un pago total de $550.8 USD. ¿Cuántas ´paginas tradujo en el mes?
An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable. (1 point)
A. The solutions are viable because the amount charged is positive.
B .The solutions are not viable because the amount of the sale cannot be negative.
C. The solutions are viable because the amount of the sale is an integer.
D. The solutions are not viable because the amount charged is not a whole number.
Answer:
B .The solutions are not viable because the amount of the sale cannot be negative.
Step-by-step explanation:
In this scenario, the calculations would make sense since the online auction charges a flat fee of $1.20 plus 2% of the amount of the sale. Since the sale is said to be -5 the 2% would be -0.1 therefore, making the total charge $1.1 which is what is given in the question. Unfortunately, -5 is not a viable value for the sale because if a sale is made it means that money was paid to the seller and that would only be a positive integer not a negative one. Thus, making this solution not viable.
A number y multiplied by —3 is less than
ore
Write this word sentence as an inequality.
An inequality is
Answer:
-3y < -2/5
Step-by-step explanation:
Multiplied means times
-3y
is less than means <
-3y < -2/5
Michael read 135 pages in 1 1/2hours. Select all of the rates that are equivalent to this rate.
Answer:
A
Step-by-step explanation:
1.maria’s age is five less than four times the age X of her son.Express Maria’s age as an algebraic expression
2.the length of a rectangle is three times the sum of five and its width X.express the perimeter as an algebraic expression
Answer:
1. m = 4x - 5
2. R = 3(5 + x)
Step-by-step explanation:
let x represent the age(X)
let M represent Maria's age(M)
m = 4x - 5
2.
Let R represent the length of a rectangle (R)
Let X represent it's width (X)
R = 3(5 + x)
PLZ ANSWER!! ONLY ANSWER IF YOU ARE CORRECT!!
at a school the number of boys: number of girls = 11 : 9
there are 124 more boys than girls
work out the total number of students at the school
b = boys
g = girls
[tex]b:g=11:9, b=g+124[/tex]
[tex]b=11g/9[/tex]
Insert in the second equation
[tex]11g/9=g+124[/tex]
Solve for g
[tex]11g=9g+124\cdot9[/tex]
[tex]2g=124\cdot9\implies g=62\cdot9=\boxed{558}[/tex]
Solve for b
[tex]b=g+124=\boxed{682}[/tex]
Hope this helps.
Which is the value of this expression when a = 5 and k=-2?
*
32a-2
75
9
* 25
25
9
75
Answer: it’s A
Step-by-step explanation: I got it right, hope it helps ✨
The value of the expression [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]
How to substitute and get the value of an expression?The expression is as follows:
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]
using law of indices
Hence,
when a = 5, k = -2
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]
Then,
[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]
[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]
[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]
[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]
Therefore, the value of the expression is 25 / 9
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