In 2006, a laptop computer was purchased for $2000. Each year since, the resale value has decreased by 22%.
Let t be the number of years since 2006. Let y be the value of the laptop computer, in dollars.
Write an exponential function showing the relationship between y and t.
Answers
Answer: y = 2000(0.78)^t
This is the same as writing [tex]y = 2000(0.78)^t[/tex]
=====================================================
Explanation:
The answer above is in the form y = a*b^t
a = initial price = 2000 dollars
b = decay factor = 0.78
We have a decay factor because 0 < b < 1 and because the price decreases. The 0.78 is from the computation of 1 - 0.22 = 0.78
Meaning that if the price goes down 22%, then we keep the remaining 78%
So each year, the laptop keeps 78% of its previous price after losing 22%.
Related Questions
A(t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function. At = 3200(1/2) t/14 Find the initial amount in the sample and the amount remaining after 60 hours. Round your answers to the nearest gram as necessary.
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Just calculator work
Step-by-step explanation:
MARK ME AS A BRAINLISTURMOEMIANSDASDUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Answers
Answer:
Get some sleep...
Step-by-step explanation:
Please helppppp asap
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2/6= 1/3
1/2 * 1/3 = 1/6 is the probability
Trevor makes essential oil using 15 drops of rose oil for every 6 drops of lavender oil.
How many drops of lavender oil would Trevor need if he uses 5 drops of rose oil?
Answers
Answer:
Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.
Step-by-step explanation:
If 15/5 = 3
Then, all we have to do is 6/3=2.
So hence, Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.
Thanks
(6.) The point A(-5,12) lies on the circle whose equation is x + y2 = 169. What is the secant of
an angle drawn in standard position whose terminal rays passes through A?
Answers
The secant of the angle through a point (-5, 3) is -13/5
Equation of a circleThe equation of a circle with center (0,0) is given by
x² + y² = r² where r = radius of circle
Now, comparing this to the equation of the given circle x² + y² = 169,
⇒ r² = 169
r = √169
r = 13
Secant of angle
The secant of the angle through a point (x, y) is secФ = r/x where
r = radius of circle and x = x-coordinate of pointNow for the point A(-5,12), x = -5.
Since r = 13
secФ = r/x
= 13/-5
= -13/5
So, The secant of the angle through a point (-5, 3) is -13/5
Learn more about secant of an angle here:
https://brainly.com/question/14910565
Answer:
Step-by-step explanation:
Please help me solve this
Answers
Answer:
Step-by-step explanation:
[g . h[(x) = -8(2x + 3) = -16x - 24
[h . g](x) = 2(-8x) + 3 = -16x + 3
PLEASE HELP ME ITS DUE ON SUNDAY NIGHT
Answers
Answer:
Each side will measure 15.5 cm.
hello help me with this question thanks in advance
Answers
[tex]\bold{\huge{\underline{ Solution\: C }}}[/tex]
Part 5 :-Here,
Two non parallel lines are intersected by three parallel lines .These three parallel lines are also parallel to each other.By using basic proportionality theorem
It states that the line which is parallel to one side of triangle intersects the other two sides then the other two sides are divided in the same ratios. That is,[tex]\sf{\dfrac{ x }{ x + 16 }}{\sf{=}}{\sf{\dfrac{9}{12 + 9}}}[/tex]
By cross multiplication ,
[tex]\sf{ 21x = 9( x + 16)}[/tex]
[tex]\sf{ 21x = 9x + 144}[/tex]
[tex]\sf{ 21x - 9x = 144}[/tex]
[tex]\sf{ 12x = 144}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 144}{12}}}[/tex]
[tex]\bold{ x = 12}[/tex]
Hence, The value of x is 12
Part 6 :-Here also ,
Two non parallel lines are intersected by three parallel lines .These three parallel lines are also parallel to each other.By using basic proportionality theorem :-
[tex]\sf{\dfrac{ 4 }{ 4 + 10 }}{\sf{=}}{\sf{\dfrac{6}{x +6}}}[/tex]
[tex]\sf{\dfrac{ 4 }{ 14 }}{\sf{=}}{\sf{\dfrac{6}{x +6}}}[/tex]
By cross multiplication ,
[tex]\sf{ 4(x + 6) = 6 {\times} 14}[/tex]
[tex]\sf{ 4x + 24 = 84}[/tex]
[tex]\sf{ 4x = 84 - 24}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 60}{4}}}[/tex]
[tex]\bold{ x = 15}[/tex]
Hence, The value of x is 15 .
[tex]\bold{\huge{\underline{ Solution\: D }}}[/tex]
Part 7 :-Here,
Here, JL bisects Angle J in ΔHJK It means Angle JHL = Angle JKLThe length of HJ = 12 , JK = 15 , HL = 18 Therefore,In triangle JHL and In triangle JKL
By using similarity theorem
It states that if the two triangles are similar then the corresponding sides of triangle are in proportion and corresponding angles are equal That is,[tex]\sf{\dfrac{ JH }{ JK}}{\sf{=}}{\sf{\dfrac{HL}{KL}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 12 }{ 15 }}{\sf{=}}{\sf{\dfrac{18}{KL}}}[/tex]
By cross multiplication
[tex]\sf{ 12( KL) = 18 {\times} 15}[/tex]
[tex]\sf{ 12(KL) = 270}[/tex]
[tex]\sf{ KL = }{\sf{\dfrac{ 270}{12}}}[/tex]
[tex]\bold{ KL = 22.5 }[/tex]
Hence, The length of KL is 22.5
Part 8 :-Here also,
Here, JL bisects Angle J in ΔHJK It means Angle JHL = Angle JKLThe length of KL = 6 , JK = 20 , HJ = 14Therefore,In triangle JHL and In triangle JKL
By using similarity theorem :-
[tex]\sf{\dfrac{ JH }{ JK}}{\sf{=}}{\sf{\dfrac{HL}{KL}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 14 }{ 20}}{\sf{=}}{\sf{\dfrac{HL}{6}}}[/tex]
[tex]\sf{\dfrac{ 7 }{ 10}}{\sf{=}}{\sf{\dfrac{HL}{6}}}[/tex]
[tex]\sf{\dfrac{ 7 }{ 10}}{\sf{{\times} 6= HL }}[/tex]
[tex]\sf{\dfrac{ 7 }{ 5 }}{\sf{{\times} 3 = HL }}[/tex]
[tex]\sf{\dfrac{ 21 }{ 5}}{\sf{ = HL }}[/tex]
[tex]\bold{ HL = 4.2 }[/tex]
Hence, The length of HL is 4.2 .
find the value of x y and z in the rhombus below
Answers
Answer:
x = y = 13, z = 18
Step-by-step explanation:
6x + 8 = 86
6x = 86 - 8 = 78, so x = 78/6 = 13
7y + 3 + 86 = 180
7y = 180 - 86 - 3 = 91
y = 91/7 = 13
5z + 4 + 86 = 180
5z = 180 - 86 - 4 = 90
z = 90/5 = 18
please math help
graphing an integer function and finding its range for a given domain
Answers
Answer:
{-3, -1, 1, 3}
Step-by-step explanation:
The range is the set of function values corresponding to the values in the domain. They are generally sorted into numerical order.
range = {-3, -1, 1, 3}
__
Each value is found by evaluating the function at the domain value:
f(-1) = 1 -2(-1) = 3
f(0) = 1 -0 = 1
f(1) = 1 -2(1) = -1
f(2) = 1 -2(2) = -3
The Petrol tank of a car was full at the start of a Journey and contained 50 liters. After completing two thirds of the Journey tank contained 14 litres. The Car then took on 30 litres and then completed the Journey. At Constant consumption of petrol, what fraction of a tank remained at the end of the Journey?
Answers
Answer:
I'm sorry, but i cant give the whole answer. But every third of the trip the car loses 18 liters. So sorry i cants say full thing.
Step-by-step explanation:
Help fast I’ll give Brainlyest
Answers
Answer:
47 or 50 will be your answer, my apologies if it's wrong
Step-by-step explanation:
Measure 5 (property taxes) Ballot Measure 5, an initiative passed by Oregon voters in November 1990, fundamentally changed Oregon’s property tax and public school funding systems. Voter approval of Measure 5, and of Measure 47 in 1996 and Measure 50 in 1997, demonstrated the great force of anti-tax fervor in that decade.
Type the correct answer in the box. Use numerals instead of words.
An arc of circle M has a length of 32π centimeters and the corresponding central angle has a radian measure of 8/9π. What is the radius of the circle?
Answers
Answer:
36 cm
Step-by-step explanation:
arc length = r × θ
32π = r × 8/9π
r = 36
The radius of the circle is 36 centimeters when the arc length is 32 centimeters and the corresponding central angle is (8/9)π radians.
What is an arc of the circle?A circle's arc is defined as a portion or segment of its circumference.
How is the length of an arc calculated?The length of an arc, s. of a circle having a radius r, with the central angle θ, is given as s = rθ.
How to solve the question?In the question, we are given an arc of a circle having a length (s) = 32π centimeters, and the corresponding central angle (θ) = (8/9)π radians.
We are asked to find the radius (r) of the circle.
We know that the arc length is the product of the radius and the central angle, that is, s = rθ.
Following this, we can write:
32π = r(8/9)π,
or, r = (32π*9)/(8π) = 36.
Therefore, the radius of the circle is 36 centimeters.
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Please I need more help
Answers
f(x) = 3x + 6. Find the inverse of f(x).
Answers
Answer:
[tex]\tt C) \:\tt f^{-1}(x)=\cfrac{x-6}{3}[/tex]
Step-by-step explanation:
We're given,
[tex]\tt f(x) = 3x + 6[/tex]
~
[tex]\tt y=3x+6[/tex]
[tex]\tt x=3y+6[/tex]
[tex]\tt x-6=3y[/tex]
[tex]\tt y=\cfrac{x-6}{3}[/tex]
[tex]\tt f^{-1}(x)=\cfrac{x-6}{3}[/tex]
~
Convert 3 days into minutes.
Answers
Answer:
4320
Step-by-step explanation:
We need to multiply the time value by 1440, so 3 x 1440 = 4320.
a video game system was orignally priced at $250.00. After a sale, the new price of the video game system was $200.00. What is the percent of decrease of the video game system after the sale/ Enter your answer in the box provide.
Answers
Answer:
20% decrease in priceStep-by-step explanation:
the original price of the item divided by the amount of money the item decreased by. When you calculate the number put a percent at the end of it. Example: $250.00 ÷ $50 = 20% off (Ps if I got this right can u mark me brainly? ty :D )Marcus is 48 inches tall. If Marcus is 2/3 of his
older brother's height, how tall is his older brother?
Answers
Answer:
48=2/3
48×3÷2= Marcus older brother height
72 inches
Identify the y Intercept the parabola
Answers
The area of a rectangular school yard is 3,195 square meters. The perimeter is 232 meters. What are the dimensions of the school yard?
Answers
Answer:
71 m x 45 m
Step-by-step explanation:
Length = x, Width = y
x * y = 3,195
2(x + y) = 232, so
x + y = 232/2 = 116, they y = 116 - x
x * (116 - x) = 3,195
116x - x² = 3,195
x² - 116x +[tex]x = \frac{116\pm\sqrt{116^2-4*3195}}{2}[/tex] = 71, 45
so x = 71, y = 45
PLEASE HELP IM ALMOST DONE WITH THE CLASS
Answers
Answer: C
Step-by-step explanation:
Pls provide work to go along with the answer.
Answers
Answer:
47 degree
Step-by-step explanation:
23x - 5 + 37x +5 = 360
x = 6
The measure of the arc = 5x + 17 = 5 *6 +17 = 47 degree
I need some help with this math problem
Answers
I need help with this problem
Answers
Nadia is selling tickets for a school event. She has already sold 17 tickets. Her goal is to sell at least 100 tickets. Each day she is able to sell up to 10 tickets. What is the minimum number of days Nadia will need to sell tickets to reach her goal?
Answers
Answer:
9 days is neeeded for Nadia to reach her goal
Factor the greatest common factor (GCF) from each polynomial. 16x^4+24x^3-8x^2+12x
Answers
Answer:
4x(4x^3+6x^2-2x+3)
Step-by-step explanation:
16÷(2+1/2)^2 PLS HELP ME! WORTH 100 POINTS NEED ANSWER AS MIXED FRACTION
Answers
[tex]\\ \rm\Rrightarrow 16\div (2+1/2)^2[/tex]
[tex]\\ \rm\Rrightarrow 16\div(5/2)^2[/tex]
[tex]\\ \rm\Rrightarrow 16\div 25/4[/tex]
[tex]\\ \rm\Rrightarrow 16\div 4/25[/tex]
[tex]\\ \rm\Rrightarrow 64/25[/tex]
[tex]\\ \rm\Rrightarrow 2\dfrac{14}{25}[/tex]
Answer:
Step-by-step explanation:
16÷(2+1/2)^2
= 4^2÷(2+1/2)^2
= (4÷(2+1/2))^2
= (4÷(5/2))^2
= (4*2÷5)^2
= 64÷25
= 2 14/25
The perimeter of a rectangle is 45 inches. One side of the rectangle
is 5 inches. Find the area of the rectangle.
Answers
Answer: 17.5*5=87.5
Step-by-step explanation:
Since we know that l=5, we can say that:
2(5)=10
45-10=35 , which is the remaining perimeter aside from the 5-inch side lengths.
35=2w
w=17.5 inches
5*17.5=87.5 in^2
So, the area of the rectangle would be 87.5 in^2.
leg a is 15. leg b is 8, what is c?
Answers
Answer:
a²+b²=c² so you take 15² =225. then you take 8²=64 then you add 225+64=289. Then you find the √289 That equals 17
C=17
8
Find the mZYXZ.
Please help!!
Answers
Answer:
Step-by-step explanation:
SEE EXAMPLE p. 323 Find each measure. 3. NA 4. XZ. ... Find each measure. 3. NA 4. XZ 10.2 5. NZ 5.6 M M 7. mZYXZ 6. m LMN 8. mZXLM N 29° Z ...