The value of the car to be, to the nearest cent, after 11 years is $7641.
Given data;
A brand-new car is bought for $20300. The car's value decreases by 9.5% annually.
To know the value of the car to be, to the nearest cent, after 11 years;
[tex]S(t) = 20300*(0.915)^t[/tex]
[tex]S(11) = 20300*(0.915)^1^1[/tex]
[tex]S(11) = 20300*0.376[/tex]
[tex]S(11) = 7640.61[/tex]
Hence, the value of the car after 11 years is $7641.
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I need help with this please
Answer:
D
Step-by-step explanation: 5 are crossed rows by 3 and then 7 by 5 are shaded in and than is 2 different numbers in together multiplied equals 1.500 which is D
the number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1261 chips and a standard deviation of 118 chips. determine the 28th percentile
The 28th percentile for the number of chocolate chips in the bag is 1192.206
To determine the 28th percentile for the number of chocolate chips in the bag, we find the z-score for the 28th percentile.
Found using a z-table or z-calculator, the z-score for the 28th percentile is -0.583
The formula for finding X (the number of items in a given percentile) is:
X = M + Z(S.D.)
Where M is the mean, Z is the specific z-score of the sought percentile and S.D. is the standard deviation.
So for the 28th percentile,
X = 1261 + (-0.583)(118)
X = 1261 - 68.79 = 1192.206
Hence the 28th percentile id 1192.206
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enter the value of x + 26
elect the correct word to fill in each blank. as the sample size increases, the degrees of freedom (i) which moves the t (ii) a z - (i) first blank - (ii) second blank a. decreases b. further from c. closer to d. increases
As the sample size (n) increases, the number of degrees of freedom increases, and the t-distribution approaches a normal distribution.
What is degrees of freedom ?
The variety of degrees of freedom is the amount of values within the final calculation of a datum that are liberal to vary. Estimates of applied math parameters are often primarily based upon totally different amounts information|of knowledge or data.
Main Body:
Degrees of freedom typically equals the quantity of observations (or items of information) minus the quantity of parameters calculable. once you perform regression, a parameter is calculable for each term within the model, and and every one consumes a degree of freedom. Therefore, as well as excessive terms during a multivariate analysis model reduces the degrees of freedom on the market to estimate the parameters' variability.
Hence the number of degrees of freedom increases,as the sample size (n) increases.
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Determine whether each ordered pair is a solution of the inequality. x+2y>10
The ordered pair of a solution of the inequality are (10, 0) and (0, 5).
The given inequality is x+2y>10.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Graph the inequality by finding the boundary line, then shading the appropriate area.
The solution of the inequality is (10, 0) and (0, 5).
Hence, the ordered pair of a solution of the inequality are (10, 0) and (0, 5).
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Johnny has some nickels and dimes in his pocket, and the change is worth $0.75. He has twice as many dimes and nickels. How many of each type of coin does Johnny have? // system of equations questions it requires 2 equations and to define the x and y
=====================================================
Work Shown:
x = number of nickels
y = number of dimes
5x = value of the nickels only (cents)
10y = value of the dimes only (cents)
5x+10y = total value of all the coins = 75 cents
One equation we can form is 5x+10y = 75.
"he has twice as many dimes as nickels" tells us that y = 2x. We can replace every copy of y with 2x and solve for x as shown in the steps below.
5x+10y = 75
5x+10(y) = 75
5x+10(2x) = 75 ... plug in y = 2x
5x+20x = 75
25x = 75
x = 75/25
x = 3
This value leads to y = 2x = 2*3 = 6
Johnny has 3 nickels and 6 dimes.
------------------
Check:
1 nickel = 5 cents
3 nickels = 3*5 = 15 cents
1 dime = 10 cents
6 dimes = 6*10 = 60 cents
3 nickels + 6 dimes = 15 cents + 60 cents = 75 cents = $0.75
The answers are confirmed.
2. A line goes through the points (2,10) and (-2,4).
(a) What is the slope of the line? Show your work
(b) Write the equation of the line in point-slope form using the point (2, 10). Show your work.
(c) Write the equation of the line in slope-intercept form. Show your work.
The slope of the line is 3/2, Equation of the line in point-slope form ( y - 10) = 3/2 (x-2), and The equation of the line in slope-intercept form
y = (3/2) x - 13
How do you find equation of a line?Using the slope formula, calculate the slope. To find the y-intercept (b), use the slope and one of the points.
Once you know the values for m and b, you can enter them into the slope-intercept form of a line (y = mx + b) to derive the line's equation.
Therefore,
A line goes through the points (2,10) and (-2,4).
Slope = (y2-y1)/(x2 -x1)
= (4 - 10) / (-2 - 2)
= -6/-4 = 3/2
The equation of the line in point-slope form using the point (2,10)
Slope = 3/2
equation of the line in point slope form :
(y - y1) = m (x -x1)
(y - 10) = 3/2 (x-2)
y = mx + c
Simplifying the above equation, then we get
2 = 3/2 × 10 + c
c = 2 - 15
c = -13
equation of the line is
y = (3/2)x - 13
2y = 3x - 26
the slope-intercept equation of the line
y = (3/2) x - 13
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Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Third-degree, with zeros of −3, −1, and 4, and a y-intercept of −13.
The polynomial function with third degree, zeros of −3, −1, and 4, and a y-intercept of −13 is y = -13/12 (x³ - 13x + 12)
Polynomial function:
polynomial function means a functions of single independent variables, in which variables can occur more than once, raised to an integer power.
Given,
Third-degree, with zeros of −3, −1, and 4, and a y-intercept of −13.
And we need to construct a polynomial function with the stated properties and reduce all fractions to lowest terms.
We know that the standard form for the third degree polynomial function is written as,
=> y = K (x + zeros1) (x + zeros2) (x + zeros3)
The third degree, zeros of the function is -3, -1 and -4.
Now, we have to apply it on the general form,
=> y = K (x -3) (x - 1) (x + 4) ----------------------(1)
Here we know the value of y intercept is -13 then the value of x is 0.
So, it can be written as,
=> -13 = K(0 - 3) (0 - 1) (0 + 4)
=> -13 = K (12)
Therefore, the value of K = -13/12
Now, apply the values on the equation (1), then we get,
=> y = -13/12 (x -3) (x - 1) (x + 4)
Therefore, the third degree polynomial function is,
=> y = -13/12 (x³ - 13x + 12)
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In Stephanie's carpenter shop, she made three-legged stools and four-legged chairs. She looked at her day's output and counted 55 legs and 16 seats. How many stools and how many chairs did Stephanie complete that day?
Show all your work. Explain in words how you found your answer. Tell why you took the steps you did to solve the problem.
Answers. 230 is the answer that I got
Can anybody solve this for me?
Answer:
1. -3
2. 6
3.less than
Step-by-step explanation:
Numerical factors of a term is also it's coefficient true or false
A coefficient is an integer that is written along with a variable or it is multiplied by the variable. In other words, a coefficient is the numerical factor of a term containing constant and variables. For example, in the term 2x, 2 is the coefficient.
Determine the equation of the line that is perpendicular to the given line, through the given point
y = x -1 ; (-6,2)
The equation of the line is y=-x-4
How to find whether line is perpendicular or not?
Perpendicular lines are those that cross at a right angle when two non-vertical lines in the same plane. Vertical and horizontal lines, or the axes of the coordinate plane, are perpendicular to one another. Two parallel lines' slopes have negative reciprocal slopes.
The given line is
y=x-1
the slope of it is 1
As the slopes of perpendicular lines are negative reciprocals
So, the slope of the perpendicular line is -1
As the point is(-6,2)
y=mx+b
y=(-1)x+b
2=-1(-6)+b
2=6+b
b=2-6
b=-4
∴The equation of the line that is perpendicular is y=-x-4
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determine the relative displacement of one end of the tapered plate with respects to the other end when it is
The relative displacement of the given case is δ = [tex]\frac{ph}{Et(d2-d1)}ln(\frac{d2}{d1} )[/tex]
Given;
To get the axial load-related relative displacement of one end of the tapered plate concerning the other end.
Let 'd' be the displacement;
We know,
[tex]w = d1 + \frac{(d2-d1)x}{h} = \frac{d1h+(d2-d1)x}{h}[/tex]
To calculate the relative displacement;
δ = [tex]\int\limits {\frac{p(x)}{A(x)E} } \, dx =p/E \int\limits {\frac{1}{\frac{d1h+(d2-d1)x}{h}t } } \, dx[/tex]
δ = [tex]ph/Et\int\limits^h_0 {\frac{dx}{d1h+(d2-d1)x} } \,[/tex]
δ = [tex]\frac{ph}{Et(d2-d1)}[ln(1+\frac{d2-d1}{d1}) ][/tex]
δ = [tex]\frac{ph}{Et(d2-d1)}ln(\frac{d2}{d1} )[/tex]
Therefore, the Relative displacement of the given case is δ = [tex]\frac{ph}{Et(d2-d1)}ln(\frac{d2}{d1} )[/tex]
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PLEASE HELP FAST
the question is on the screenshot
Answer:
Since 1 scoop of ground coffee makes 1 cup of coffee, Andy can make 24 cups of coffee from the jar.
Step-by-step explanation:
Solve the equation by Factoring.
n²-n-56=0
A) (6,3)
C) (-6,7)
B) -7, 8)
D) -8,8
Step-by-step explanation:
n^2 - n -56 = 0
n^2 -8n +7n-56 = 0
n(n-8) +7(n-8) = 0
(n+7)(n-8) = 0
n = (-7,8)
option B
what is 15×86 2/3 please answer asap I need help
6. In parallelogram ABCD find m¿A. (G.CO.11)
D
B. 70°
C. 110°
D. 200°
A
(6x +20)°
(4x+10°
6
Answer: b
Step-by-step explanation:
whats the answer to this
A Linear equation in point slope form using the first point 3/4h , 9 in that can be used to determine the level of chocolate syrup in dispenser after x hours is y = -4x + 12 .
In the question ,
it is given that
in 3/4 hours the the level of chocolate syrup was 9 inch ,
So , the first point is (3/4,9) .
in 5/4 hours the level of chocolate syrup in the dispenser was 7 inch .
So , the second point is (5/4,7)
to find the linear equation we first need to find the slope .
Slope = (7-9)/(5/4-3/4)
= -2/(2/4)
= -4
So , the equation in slope intercept form having point (3/4 , 9) and slope -4 is .
(y - 9) = -4(x - 3/4)
y - 9 = -4x + 3
y = -4x + 3 + 9
y = -4x + 12
Therefore , The linear equation is y = -4x + 12 .
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Help Algebra 2 Bionomical radical expressions
The product of the radical expression is - 49 + 13√7. option B is the correct answer
From the question, we have
(7-√7)(-6+√7)
= (7) × (-6) + (-√7) × (√7) + (-√7) × (-6) + (7)(√7)
= -42 - 7 + 6√7 + 7√7
= - 49 + 13√7
The product of the radical expression is - 49 + 13√7
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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10 points!!!!!! help now it is due now!!!!!!!!
Answer:
Step-by-step explanation:
Write the value of x when y is = 7
x = 7
x = -1
x = -4
Homer told Bart that if he wanted the new video game, Bonestorm, he would have to score an 85% or higher on his next math quiz. Mrs. K gave the class a pop quiz and Bart scored 22/25. Use your skills converting a fraction to a percent and decimal and calculate whether Bart will get his new video game.
if 1 + 2 = 3 then what does 1+2 equal
1 + 2 is equivalent to 3 if 1 + 2 = 3 after using the arithmetic operation, the answer is 3.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
1 + 2 = 3
As we know, from the definition:
Arithmetic can be defined as, an operation in which we do the addition of numbers, subtraction, multiplication, and division.
For the addition of two numbers:
The two numbers are 1 and 2:
Draw a vertical line 1: |
Draw two vertical lines 2: | |
Count the lines: | | | = 3
Thus, 1 + 2 is equivalent to 3 if 1 + 2 = 3 after using the arithmetic operation, the answer is 3.
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I WILL GIVE BRAINLIST!!
Which postulate would prove that triangle ABC triangle DEC?
A) ASA
B) SAS
C) SSS
D) AAS
Answer:
ASA
Step-by-step explanation:
1) the angles are congruent where they intercept in blue
2) the sides that are congruent are between the two congrunet angles the blue ones and the given ones
Order the group of rates from least to greatest. 100 oz/min, 2500 g/min, 10 lb/min
Which point represents the origin? number line from minus 5 to 5 with point M at minus 4, J at minus1, W at 0, and K at 2. Question 1 options: Point W Point J Point M Point K
The point that represent the origin in the number line is Point W
What is a number line?A number line is a horizontal representation of numbers in parts with equal intervals
The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values at right
number line on -5 to 5 will have the origin at the center and te center here is zero which is similar to p
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960 times 1.0 times 10^6
Answer:960000000
Step-by-step explanation:
Answer: 960000000
Step-by-step explanation:
960 times 1.0 times 10^6 look it up !!
Lily ordered a replacement part for her
desk. It was shipped in a box that
measures 4 in. by 4 in. by 14 in. What is
the greatest length in whole inches that
the part could have been?
Thus the largest length is 15 inches
Size (l) is 14 inches.
Size (w) = 4 inches.
Height is 4 inches (h).
The distance between one bottom corner and the opposite top corner is known as d. Find s, the diagonal across the bottom of the box, first.
[tex]w^2 + l^2 = s^2[/tex]
Replace the prescribed measures.
[tex]4^2 + 14^2 = s^2[/tex]
Simplify.
[tex]16 + 196 = s^2[/tex]
[tex]21^2= s^2[/tex]
To determine d, use the expression for s.
[tex]h^2 + s^2 = d^2[/tex]
Plug in s2 = 212 and h = 4.
4^2 + 21^2 = d^2
Simplify.
16 + 21^2 = d^2
228 = d2
On both sides, take the square root.
√228 = √d2
15.1 ≈ d
Therefore, the part's maximum possible length was 15 inches.
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Finding Angle Measures When Parallel Lines Are Cut By a Transversal
Answer:
Angles 2, 3, 6, and 7 will be the same with 41 degrees!
Angles 1, 4, 5, and 8 are the same with 139 degrees!
Step-by-step explanation:
Opposite angles are the same so that makes angles 2, 3, 6, and 7 the same at 41 degrees!
The same rule applies to angles 1, 4, 5, and 8 and we have to subtract!
180 - 41 = 139 degrees!
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Annika’s older sister cousin borrowed 800$ to repair her car she will pay off the loan after 2years by paying back the principal plus 4.5% simple interest for each year. How much will she pay in interest?
Answer:
Step-by-step explanation:
she will pay $80 in interest.
PLEASE HELP the pics down below
I believe that f(2) would be 10 and f(-2) would be -5.