Car dealers sometimes use the rule of thumb that a car loses about 30% of its value each year. 1. Suppose you bought a new car in December 2010 for $15,000. 2. Develop a general formula for the value of the car t years after its purchase. HELP
Answer: [tex]A=15000(1.30)^t[/tex]
Step-by-step explanation:
Formula to find the price of an item after t years after withe a depreciation rate of r% is [tex]A=P(1-\dfrac{r}{100})^t[/tex], where P = Initial value of item.
Given: P = $15,000, r= 30%
Then, the value of car after t years will be :
[tex]A= 15000(1+\dfrac{30}{100})^t\\\\\Rightarrow\ A=15000(1+0.30)^t\\\\\Rightarrow\ A=15000(1.30)^t[/tex]
The required general formula for the value of the car t years after its purchase:
[tex]A=15000(1.30)^t[/tex]
find the slope of (-20, -9), (-6,0)
Step-by-step explanation:
use the formula to calculate slope
Which of the following values are solutions to the inequality 6≥4x−5?
Answer:
The solution to the inequality is:
[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]
-5 and -6 are the solution values.
Step-by-step explanation:
Given the inequality
[tex]6\ge \:4x-5[/tex]
Let us solve the inequality
[tex]6\ge \:4x-5[/tex]
switch sides
[tex]4x-5\le \:6[/tex]
Add 5 to both sides
[tex]4x-5+5\le \:6+5[/tex]
Simplify
[tex]4x\le \:11[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}\le \frac{11}{4}[/tex]
Simplify
[tex]x\le \frac{11}{4}[/tex]
Thus, the solution to the inequality is:
[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]
In our case, we are given the values -6, 8, and -5
We have already determined that the solution is x ≤ 2.75.
Since the solution is x ≤ 2.75, so -5 and -6 come under the solution set because -5 and -6 are less than 2.75.
Hence, -5 and -6 are the solution values.
The graph of the solution of the inequality is also attached below.
The solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given inequality is,
6 ≥ 4x − 5
Adding 5 both the side we get,
6 + 5 ≥ 4x − 5 + 5
⇒ 11 ≥ 4x
Dividing both the side by 4 we get,
11/4 ≥ 4x/4
⇒ 11/4 ≥ x
or, x ≤ 11/4
this is the required solution of the given inequality.
Thus, the solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.
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550 + 550 + 650 + 550 + 600 = ?
Answer:
2,900
Step-by-step explanation:
What is the area of the composite figure? 65 cm2
40 cm2
52.5 cm2
60 cm2
Area of the composite figure will be 52.5 cm².
Area of the composite figure,Divide the figure into small parts of different shapes.Add the areas of the divided figures.
Given composite figure is divided into two parts (1) triangle ABC (2) Rectangle DEFG
Area of ΔABC = [tex]\frac{1}{2}(AB)(BC)[/tex]
= [tex]\frac{1}{2}(5)[8-(1+2)][/tex]
= [tex]\frac{1}{2}(5)(5)[/tex]
= 12.5 cm²
Area of rectangle DEFG = Length × Width
= 8 × 5
= 40 cm²
Area of the composite figure = Area of triangle ABC + Area of DEFG
= 12.5 + 40
= 52.5 cm²
Therefore, area of the composite figure will be 52.5 cm².
Learn more about the area of the composite figure,
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can someone please help? I'm sorry I don't have a lot of points to offer. I'm running out of points
Answer:
80 degrees
Step-by-step explanation:
The 132-deg angle is an exterior angle of the left triangle.
The 52-deg angle is a remote interior angle to the exterior angle above.
Angle VZY is also a remote interior angle to the exterior angle above.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
We use the theorem above to find the measure of angle VZY.
52 + m<VZY = 132
m<VZY = 80
Angles WZX and VZY are vertical angles, so they are congruent.
m<WZX = m<VZY = 80
Answer: 80 degrees
Answer:
m∠WZX = 80°
Step-by-step explanation:
Angle V is a flat angle, so it measures 180°.
Find ∠YVZ (blue angle): 180° - 132° = 48°
Triangle VYZ is 180° (all triangles are 180°).
Find ∠YZV (red angle): 180° - 52° - 48° = 80°
Since you know ∠YZV, you can find ∠WZX (green angle).
∠YZV and ∠WZX are opposite angles, so they are congruent.
Therefore, ∠WZX = 80°
Hope this helps :)
chase bought his dream car ,a chevy corvette, for $58,735. sales tax is 5% where chase lives what is the total price chase paid for the corvette?
Answer:
$61,671.75
Step-by-step explanation:
There is a calculator called "Sales Tax Calculator" and if you put in your Before Tax Price and your Sales Tax Rate you will receive your answer of $61,671 and 75 Cents. ($61,671.75)
kayden mixed two solutions together which causes a chemical reaction and the solution becomes warm. which statement best describes what has happened
A. energy has been transformed from one form to another
B. energy has been created, where it did not exist before
C. the chemicals energy of the solution had been described
D. more energy has been created than has been destroyed
According to law of conservation of energy, the statement which best describes what has happened is that energy has been transformed from one form to another.
What is law of conservation of energy?According to law of conservation of energy, it is evident that energy is neither created nor destroyed rather it is restored at the end of a chemical reaction .
Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.
Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Julius Robert Mayer in the year 1812.
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A nurse wants to simulate the number of male and female births at the hospital where she
works using a random digit table.
Which of the following best simulates this situation?
Answer:
Let the digits 0,1,2,3 and 4 represent the birth of a boy, and let digits 5,6,7,8, and 9 represent the birth of a girl. Use a table of random digits. Choose the first 10 digits in the table and record the number of boy and girl births. Continue to choose batches of 10 digits for a total of 100 times, recording the number of boy and girl births. (possibly B)
what is (9m)4 without exponents
Answer:
The answer is 36m
Step-by-step explanation:
Multiply 9m by 4, and you'll get (9x4)m, which is (36)m, which can be simplified into 36m.
x2 = 36 solve for x please answer
Step-by-step explanation:
Given
x² = 36
x² =( +6)²
x = +6
Hope it will help :)
Answer:
x= 18
Step-by-step explanation:
Divide both sides by 2
2 and 2 cancel out
36/2=18
check that it fits
2 x 18=36
18 is correct
Hope this helps ^-^
A store is having a sale where school supplies are 20% off their original price. A backpack is on sale for $15.20. What was the original price of the backpack?
Answer:$ 19.00
Step-by-step explanation:
The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.
SYMBOL THAT INDICATES THE ROOT OF THE NUMBER
Answer:
The root symbol (√ ) is used to represent the square root of any number.
Answer:
[tex]\sqrt{x}[/tex]
Square Root
If = 58° and m = 120 in, what is the value of p to the nearest tenth of an inch?
Answer:
141.5 in
Step-by-step explanation:
sin 58 = m/p = 120/p
120 = psin58
120/sin 58 = p
p = 141.5 in.
Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side. Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p
5/16 + 7/16 (simpfiy it )
What is the value of x
Answer:
x=12the opposite side of parallelogram are equal
Answer:
8
Step-by-step explanation:
Since, intercepts made by parallel lines on transversals are in proportion.
Therefore,
[tex] \frac{x}{24} = \frac{12}{36} \\ \\ \frac{x}{24} = \frac{1}{3} \\ \\ x = \frac{24}{3} \\ \\ x = 8[/tex]
Simplify 28/184 by reducing to lowest form
A) 1/46
B) 1/7
C) 14/92
D) 7/46
What are the solutions of the quadratic equation p^2+3p-28=40
Answer:
the answer is =-3±[tex]\sqrt{281}[/tex]/2
Step-by-step explanation:
Answer:
[tex]\bold{p_1\approx6.88\ ,\qquad p_2\approx-9.88}[/tex]
Step-by-step explanation:
[tex]p^2+3p-28=40\\\\p^2+3p-68=0\\\\a=1\,,\ b=3\,,\ c=-68\\\\\\p=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-68)}}{2\cdot1}=\dfrac{-3\pm\sqrt{281}}{2}\\\\p_1\approx6.88\ ,\qquad p_2\approx-9.88[/tex]
Mr. Alvarez makes a walkway of 3 cement slabs.He uses 14 cubic feet of cement to make the walkway.Each square slab has a volume of 4 cubic feet
Answer:
I suppose that you want to see how we can find the volume of each individual slab with the given information, the procedure is as follows.
The walkway has 3 cement slabs,
He uses a total amount of 14 cubic feet to make the complete walkway.
This means that the 3 cement slabs together have a total volume of 14 ft^3
To find the volume of each slab, we need to find the quotient between the total volume and the total number of slabs, then we get:
Volume of each slab = (14 ft^3)/3 = 4 ft^3
This means that each cement slab has a volume of 4 ft^3.
Answer:
6 ft^3
Step-by-step explanation:
PLEASE HELP
WITH THESE TWO QUESTIONS! IF I DONT HAVE THEM DONE IN THE NEXT HOUR IM SCREWED. ILL GIVE BRAINLIEST TO THE PERSON WHO SHOWS THE WORK. (Its the top two questions)
Answer:
1: 65 in^2
2. 55 ft^2
Step-by-step explanation:
1. First you have to find the area of the trapezoid using the formula (a+b)h/2 where a= 10, b=15, and h=8. The answer will be 100. Then subtract the area of the square inside, which is 35. The final answer is 65.
2. Subtract from the dimensions of the landscape to find the dimensions of the patio. The length of the patio is 11 ft and the width is 5 ft. Therefore, the area is 55 ft^2
Answer:
Alright, helping you because I feel bad. 1) 76 in. 2) 24 in.
Step-by-step explanation:
1. [tex]A= \frac{a+b}{2} h[/tex] a= base b= base h= height Plug in the numbers, [tex](\frac{10+15}{2} ) 8= 100[/tex], but we still need to subtract the area of the un-shaded region (5×2)+(7×2)= 24
100-24= 76
2. Find the area of both landscaping rectangles, including the patio bit.
(14×2)+(8×2)=
28+16=
44in. The two rectangles are the same size, so they both have an equal area. Now we find the area of just the patio spot, W= (8-3)×2 L= (14-3)×2 W= 10 L= 22 A=32 in.
Now, we multiply by two, since we counted it twice, 64 in.
Finally, subtract 64 from the the sum of the two areas from the landscape rectangles, 88-64= 24 in.
Verdadero o falso a) al reducir a comun denominador las fracciones se sustituyen por otras equivalentes
Answer:
Verdadero
Step-by-step explanation:
Verdadero, cuando cambias dos fracciones para darles un denominador comun la fraccion entera se sustituye para otra que tiene el mismo valor numerico que la original. Por ejemplo tenemos una fraccion 2/6 en la cual tenemos que cambiarle el denominador a uno comun con otra fraccion que es 18. Entonces sustituyemos la fraccion por la siguente fraccion 6/18. Esta nueva fraccion es equivalente a la original y los dos tienen el mismo valor numerico...
2 / 6 = 0.333
6 / 18 = 0.333
A teepee is designed to have a diameter of 10 ft and a volume of 366ft³ what is the height? A.15ft , b.14 ft, c 5ft, or 1 ft
Answer:
B. 14 ft approx
Step-by-step explanation:
Given data
A teepee has a conical shape
Diameter= 10ft
radius= 5 ft
Volume = 366ft³
Height = ????
The expression for the volume is
V= 1/3πr^2 h
substitute
366= 1/3*3.142*5^2*h
366= 1/3*78.55*h
366= 26.18h
h= 366/26.18
h=13.98 ft
h= 14 ft approx
Hence the Height is 14 ft approx
Answer:
14 ft
Step-by-step explanation:
a p e x!
Find the Values of x and y
Help me please!!!!!!!!!!!!
what type of polygon is this
Answer:
enneagon
Step-by-step explanation:
PLEASE HELP ASAP! WILL MARK BRAINIST! PLEASE PLEASE
Answer:
Step-by-step explanation:
its c
can you please help me
Answer:
b !! (0.5, 0.5)
Step-by-step explanation:
if you used the formula to find midpoint 9i included a picture, you would get the fractions (1/2, 1/2) !! that as a decimal is 0.5 !! so the answer is b !! i really hope this helps !!
Solve the system of equations using the elimination method.
3x + 4y = -2
2x + 3y = -1
Answer:
(-2, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -2
2x + 3y = -1
Step 2: Rewrite Systems
Find LCM of both equations.
[1st Equation] Multiply everything by 2: 6x + 8y = -4[2nd Equation] Multiply everything by -3: -6x - 9y = 3Step 3: Redefine Systems
6x + 8y = -4
-6x - 9y = 3
Step 4: Solve for y
Elimination
Combine 2 equations: -y = -1[Division Property of Equality] Divide -1 on both sides: y = 1Step 5: Solve for x
Define original equation: 3x + 4y = -2Substitute in y: 3x + 4(1) = -2Multiply: 3x + 4 = -2[Subtraction Property of Equality] Subtract 4 on both sides: 3x = -6[Division Property of Equality] Divide 3 on both sides: x = -29a + 12b + 2a
Help please !
Answer:
11a+12b
Step-by-step explanation:
9a+12b+2a=11a+12b
4x - 2y = 24
y=-3x - 2
someone help me?
Step-by-step explanation:
I've used substitution method over here and got the value of X and Y