After 5.4 years, the value of the car will be half the initial value.
How many years take for the car to be half in value?
We know that the value decreases by 12% each year.
Then the value of the car can be modeled with an exponential decay, written as:
[tex]V(t) = A*(1 - 12 \% /100 \%)^t = A*(1 - 0.12)^t = A*(0.88)^t[/tex]
Where A is the initial value, and t is the number of years.
The value will be halved when:
[tex](0.88)^t = 0.5[/tex]
We need to solve that, to do it, we can apply the natural logarithm to both sides, so we get:
[tex]Ln(0.88^t) = Ln(0.5)\\\\t*Ln(0.88) = Ln(0.5)\\\\t = Ln(0.5)/Ln(0.88) = 5.4[/tex]
This means that after 5.4 years, the value of the car will be half the initial value.
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4 4 cm 2 cm 4 cm 4 cm
What is the area of the polygon?
Answer:
512
Step-by-step explanation:
or is the 4 4 a fraction? if it was a fraction, it is 32 bc 4 4 = 1.
a function is graphed on coordinate plane. what is the value of the function when x = -4
Answer:
no graph un asnwerable
Step-by-step explanation:
What is the distance between points L(-1,3) and 2(4, -9)
HELP ASAP
Answer:
13 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (4, - 9 )
d = [tex]\sqrt{(4-(-1))^2+(-9-3)^2}[/tex]
= [tex]\sqrt{(4+1)^2+(-12)^2}[/tex]
= [tex]\sqrt{5^2+144}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13
Step-by-step explanation:
the other answer is correct.
just a few words about the why :
when you look at 2 points on the coordinate grid, then the distance between them creates a right-angled triangle.
the direct distance is the Hypotenuse (the baseline opposite of the 90° angle).
and the x-coordinate difference and the y-coordinate difference are the legs of that triangle.
and then we can use Pythagoras
c² = a² + b²
c = sqrt(a² + b²)
with c being the Hypotenuse.
and you see, that is exactly the so-called distance formula the other answer used.
Answer this, Please help.
Step-by-step explanation:
y-x+2 =0 is the right answer so try in that way
Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms. is alana correct? use terms from the word lis in your answer.
Step-by-step explanation:
Alana is correct.
example : a kite
2 pairs of equally long sides, but none is parallel.
Which of the following statements best describes the lines?
Find the circumference of a circle that has a 25-inch radius. Use 3.14 to approximate π.
PLEASE HELP ILL GIVE BRAINLIEST
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]
➣ Circle:- A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).➣ Circumference:- The line that bounds a circle or other two-dimensional figure[tex]{ \rule{70mm}{2.9pt}}[/tex]
★ also circumference of a circle is also known as it's perimeter
➣To find circumference of circle when use formula[tex]{ \boxed{✜\underline{ \boxed{ \sf{\: Circumference \: of \: circle= \: 2\pi \: r}}}✜}}[/tex]
➢ r = radius (25inch.)➢ value of π is 3.14[tex]{ \rule{70mm}{2.9pt}}[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\: Let's\:solve }}}[/tex]
[tex]\sf{➛ \: Circumference \: of \: circle = 2 \times 3.14 \times 25} \\ \sf{➛ \: Circumference \: of \: circle =2 \times 78.5} \\ \sf{➛ \: Circumference \: of \: circle =157inch}[/tex]
★ Hence circumference of circle=157inch
[tex] \large\underline{ \boxed{ \sf{➪\:157inch. }}}[/tex]
[tex]{ \rule{70mm}{2.9pt}}[/tex]
Hope it helps !
Find the value of y when x=-2
y=5x+6
y=
Answer:
Soln;
From the given question, We know that:
x= -2
So,
y= 5x+6
= 5*(-2)+6
= -4 Ans
Therefore, The value of y is -4.Theo, Nancy, and Mary each drove separately to meet at their grandmother’s house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary’s route is shown below.
A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route.
Approximately how many miles did Mary drive to her grandmother’s house?
Order the distances that each family member drove to their grandmother’s house from least to greatest.
Answer:
Mary's route = 49.73 miles
Step-by-step explanation:
[tex] {r}^{2} = {x}^{2} + {y}^{2} [/tex]
[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
[tex]r = \sqrt{ {48}^{2} + {13}^{2} } [/tex]
[tex]r = \sqrt{2473} [/tex]
[tex]r = 49.73 \: miles[/tex]
[tex] \sqrt{2840} = 53.3 \: miles[/tex]
Arranging the distances from least to greatest:#1: Mary's route = 49.73 miles
#2: Theo's route = 50 miles
#3: Nancy's route = 53.3 miles
Answer:
first is 49. 73; second Mary, Theo, Nancy
Step-by-step explanation:
I took the assignment on edge so yeah pleasure to help ^^
What is the slope of the line that passes through the points (-1, 1) and (-1, 4)? Write your answer in simplest form.
Answer: undefined
Step-by-step explanation:
slope form: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
simply plug in values
[tex]\frac{4-1}{-1-(-1)}[/tex]
[tex]\frac{3}{0}[/tex]
Answer: undefined
you can also tell by realizing both x coords are the same, meaning the line is verticle and verticle lines' slopes are undefined
Juanita has 2 rolls of film with 36 exposures and 3 rolls of film with 24 exposures. How many photos can she take with this film? She can take ____ pictures
Answer:
65 pictures because 24+36+3+2
What is the slope of the line that passes through the points (-9,-5) and
(-1,-9)? Write your answer in simplest form.
Answer:
slope= (y2-y1)/x2-x1
Step-by-step explanation:
(-5-(-9))/(-9-(-1))
=-1/2
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
-1/2
Step-by-step explanation:
To findSlope
Given[tex] \sf let \: ( - 9, - 5) = (x_1,y_1) \\ \\ \sf ( - 1, - 9) = (x_2,y_2)[/tex]
Solution[tex] \sf Slope(m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Substituting the values
[tex] \sf \implies m = \frac{ - 9 - ( - 5)}{ - 1 - ( - 9)} \\ \\ \\ \sf \implies m = \frac{ - 9 + 5}{ - 1 + 9} \\ \\ \\ \sf \implies m = \frac{ - 4}{8} \\ \\ \\ \sf \implies m = - \frac{1}{2} [/tex]
A fair spinner has 12 equal sections: 4 red, 3 blue and 5 green. It is spun twice. What is the probability of getting the same colour twice?
Answer:
25/72
Step-by-step explanation:
Total outcomes :
(5 + 4 + 3)²(12)²144 outcomesP (red twice) :
16/1441/9P (blue twice) :
9/1441/16P (green twice) :
25/1445/12Adding :
1/9 + 1/16 + 5/1216/144 + 9/144 + 25/14450/14425/72What is the Slope-Intercept form of the equation of a line that passes through the point (5,-3) and is parallel to the line y = 2x +3?
Answer:
123456098765432112345678900000000000000000000000987654444443221111111111122222233333333333334444444444455555555555556666666666666667777777777888888888889999999000
Step-by-step explanation:
sanjeev ate 1/6 of cake he gave to his frend the remainder 1/5 how much did he keep
Step-by-step explanation:
[tex] = 1 - ( \frac{1}{6} + \frac{1}{5} )[/tex]
[tex] = 1 - ( \frac{5}{30} + \frac{6}{30} )[/tex]
[tex] = 1 - \frac{11}{30} [/tex]
[tex] = \frac{30}{30} - \frac{11}{30} [/tex]
[tex] = \frac{19}{30} [/tex]
So, he keeps [tex] \frac{19}{30}[/tex]
Answer:
Sanjeev kept 19/30 of his cake.
Step-by-step explanation:
So, if Sanjeev ate 1/6 of the cake there will be 5/6 of the cake left over.
He gave 1/5 of this 5/6 to his friend.
He did not give 1/5 of the entire cake, he gave 1/5 of the remainder of his cake, which was 5/6.
To solve this, we must first convert both fractions to the same denominator.
1/5 and 5/6 becomes 6/30 and 25/30
He gave away 6/30 of this 25/30
It is now clear that we must take away how much he gave away from the remainder of the cake.
25/30 subtract 6/30 becomes 19/30
We cannot simplify this.
Therefore, Sanjeev kept 19/30 of his cake.
Need help asap please explain
The sum of the first six terms of the geometric sequence 1, 2, 4, 8, ... is equal to the sum of
the first six terms of an arithmetic sequence that also has 1 as its first term. What is the
fifth term of the arithmetic sequence?
Answer:
Step-by-step explanation:
sum of first six terms of given G.P.=1+2+4+8+16+32=63
let d be c.d. of A.P.
first six terms are 1,1+d,1+2d,1+3d,1+4d,1+5d
1+1+d+1+2d+1+3d+1+4d+1+5d=63
6+15d=63
15d=63-6=57
divide by 3
5d=19
d=19/5=3.8
fifth term=1+4d=1+3.8*4=1+15.2=16.2
Janette measures the heights in inches of some of the flowers in her garden to see which ones are growing more. the heights are listed below. which line plot represents the data correctly? 7 1 2 7 7 1 2 6 3 4 7 1 4 7 1 4 7 1 4 7 6 1 2 7 3 4 7 3 4 6 3 4 8 1 4 7 7 1 2 7 7 1 4 7 7 1 2 7 1 2 a. a line plot named b. a line plot named c. a line plot named d. a line plot named
The line plot that represents the height of the flowers in the garden is the line plot named a.
What is a line plot?A line plot is a diagram that is used to represent data. The line plot is made up of dots that are used to represents the frequency with which the number appears.
Please find attached the line plot that represents the answer. To learn more about line plots, please check: https://brainly.com/question/16321364
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You've got three circles in line with eachother. Radius = 4cm
Calculate the shaded area and give answer in pi.
The shaded area of the circles that are given will be 32π.
How to calculate area?It should be noted that the area of a circle is calculated by using:
= πr²
where r = 4
In this case, we have two shaded circles. The area will be:
= 2(πr²)
= 2(π × 4²)
= 2(16π)
= 32π
In conclusion, the area is 32π.
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19. The results of a board game are shown in the table below.
Player
Scores
Joseph
500
Sarah
-1,500
Malachi
-2,200
Tyson
400
Shaun
-600
Summer
-300
I
What is the total of the players' scores?
Three faces of a rectangular prism have areas 32 cm?, 40 cm?, and 20 cm? a) find the surface area of the prism. b) what are possible dimensions of the prism? how do you know? c) sketch and label the prism.
Answer:
Surface Area: 5440
Step-by-step explanation:
Volume: 25600
Surface Area: 5440
Work Volume
V = lwh
V = (32)(40)(20)
V = 25600
Work Surface Area
A = 2(wh + lw + lh)
A = 2( 40(20) + 32(40) + 32(20) )
A = 2(800 + 1280 + 640)
A = 2(2720)
A = 5440
The diagonal : 54.99
What else would need to be congruent to show that AABC= ADEF by AAS?
8
E
60°
60"
10
10
A
С
O A. ZC=ZF
B. AC = DF
0 0
C. ZA ZD
D. BC = EF
With ∠C=∠F, ΔABC and ΔDEF are congruent by AAS congruence. Therefore, option A is the correct answer.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Consider ΔABC and ΔDEF,
Here, ∠B=∠E=50°
AB=DE=10 units
With ∠C=∠F
So, by AAS congruence theorem ΔABC and ΔDEF are congruent
Therefore, option A is the correct answer.
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#82 will give brainliest to best answer!
Answer:
[tex]\frac{6}{k-6}[/tex]
Step-by-step explanation:
First, we can factor all of the following equations to turn that weird, huge looking thing into [tex]\frac{(k+6)(k-6)}{(k-6)(k-10)}[/tex] ÷ [tex]\frac{(k-6)^2}{k(k-6)}[/tex] × [tex]\frac{6(k-10)}{k(k + 6)}[/tex]. We know that division is simply multiplication by the reciprocal, so that whole equation will turn into [tex]\frac{(k+6)(k-6)}{(k-6)(k-10)}[/tex] × [tex]\frac{k(k-6)}{(k-6)^2}[/tex] × [tex]\frac{6(k-10)}{k(k+6)}[/tex]. Now we can cancel out some values if they are both in the numerator and denominator, which will turn that still huge looking thing into [tex]\frac{6}{k-6}[/tex] which is our final answer, as it cannot be simplified further.
Hope this helped! :)
can someone help me with this?
Answer:
36 ft.
Step-by-step explanation:
The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.
It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.
Hypotenuse: 5 x 3 = 15
Leg 1: 4 x 3 = 12
Leg 2: 3 x 3 = 9
Perimeter: 15 + 12 + 9 = 36
36 ft. is your answer.
please give answer asap i’ll give brainlist to correct answer
Answer:
I believe the answer is; The median is 4.5 inches.
let me know if this is right for you! :)
Step-by-step explanation:
Which of the following numbers is irrational?
a fraction with numerator negative 15 and denominator 4, a fraction with numerator negative 7 and denominator 9, square root of 4, π
a fraction with numerator negative 15 and denominator 4
a fraction with numerator negative 7 and denominator 9
square root of 4
π
Answer:
Pi is an irrational number
Answer:
Square root of 4π
An irrational number is never-ending or a fraction, and pi is almost never-ending, making it the only irrational number here since it cannot be written as a fraction.
Please answer this qjusetion. :)
The answer to number 1 is 20%.
The answer to number 2 is the top left box. She charges $100 for each one hour lesson.
Mala walks her dog 3 times a day.
Each walk 3/4 ismile
Which expression tells how many miles Mala walks her dog each day?
Answer:
3/4 x 3 (top right)
Step-by-step explanation:
one you selected is incorrect
what is the answer ?
The angle B will be equal to ∠B=53.13 degrees.
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
It is given that:-
Three sides of the triangle are:- a= 3, b=4 and c =5
The angle B will be calculated by the following formula;-
[tex]\angle B=Cos^{-1}\dfrac{a^2+c^2-b^2}{2ac}\\\\\\\angle B=Cos^{-1}\dfrac{3^2+5^2-4^2}{2\times 3\times 5}\\\\\\\angle B=Cos^{-1}(0.6)\\[/tex]
∠B=53.13 degrees
Hence the angle B will be equal to ∠B=53.13 degrees.
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Please answer these
Answer:
qa no.4 do cross muntiply
what is the volume of the pyramid? The base is 2cm and the height is 3.75
I am going to assume this is a square pyramid and the base is 4 cm², in other words, 2 * 2 = 4
Answer: 5 cm³
Step-by-step explanation:
We will use the formula for a pyramid and solve.
[tex]\displaystyle V=\frac{lwh}{3}[/tex]
[tex]\displaystyle V=\frac{(2)(2)(3.75)}{3}[/tex]
V = 5 cm³
