Answer:
a.The value of the van decreases by 20% each year since its purchase.
b.The value of the van decreases by 80% each year since its purchase.
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Step-by-step explanation:
From the above question, we are given the Exponential function
V(t)=10,000(0.8)^t
Verifying the given options:
a.The value of the van decreases by 20% each year since its purchase.
Option a is correct , this is because, the Exponential function above is and Exponential Decrease.
The formula is given as:
V(t) = 10000(1 - r) ^t
Where r = Decreasing rate
Comparing
= 1 - r = 0.8
= 1 - 0.8 = r
r = 0.2
Converting to percentage
= 0.2 × 100 = 20%
Option a is correct
b.The value of the van decreases by 80% each year since its purchase.
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option b is correct
c.The value of the van decreases by $2,000 each year since its purchase.
Option C is incorrect
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Option d is correct because
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option d is correct
e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.
Option e is incorrect
From the options given in the question, the correct statements are,
Options a, b, and d.
7. What is the y-intercept of a line that passes through the points (1.-7) and point
(5,-25)?
1. 2.5
2. -2.5
3. 2
Tbh you c u t e ;)
No capppppppppppppppppppppppppppppppp
Answer:u 2
Step-by-step explanation:
10+x=21 ?
What’s the answer
Answer:
x=11
Step-by-step explanation:
first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11
help me with this thanks for anyone who helps! :D
Answer:
x= 90-60
x=30
Step-by-step explanation:
Answer:
30° is the answer because its a right angle
Step-by-step explanation:
can you mark me brainliest? thank you
Find the missing angle
Answer:
Since interior angles of hexagon sum up to 720°, [You may calculate this using formula 180(n - 2) where, 'n' is number of sides]
[tex]x + 146 + 167 + 53 + 125 + 133 = 720 \\or, x + 624 = 720\\or, x = 96[/tex]
Find the slope of the graph
Julien is baking cookies with his mother.
The recipe calls for:
1 ½ cups of flour
2 ⅔ cups of oatmeal
3 ¼ cups of chocolate chips
1 cup of sugar
½ cup of brown sugar
The only measuring cups that Julien can find are ⅛ cup and ⅓ cup. How will he make the cookies?
Answer:
well quite easily just doing the math
Step-by-step explanation:
Ta -Da
1 1/2 cups of flour = 12/8 cups of flour
2 2/3 cups of oatmeal = 2 2/3 cups of oatmeal
1 cup sugar = 3/3 or 8/8 cups of sugar
1/2 cup of brown sugar = 4/8 cups of brown sugar
WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP
Answer:
B
Step-by-step explanation:
The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept
Answer:
A.
Step-by-step explanation:
It starts from 32 on the y-axis and goes up 4 times on x-axis.
this is freckle math can someone help
Answer: 3x60=180x2=360+6/2=83 but you have to factor that she will sometimes fly backwards . Then after you that into count the answer is (2x6=42=54) now that you take "x" and turn it to 6 yoy get (5,4)
Step-by-step explanation:
The two ordered pairs are (0.05, 0.1) and (0.1, 0.2).
The graph is shown below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = 4x
y = number of miles
x = number of hours
4 miles per hour.
Now,
The rate is 2 miles per hour.
This means,
y = 2x
Now,
x = 3 minutes = 3/60 hour = 1/20 hour = 0.05 hour
y = 2 x 1/20 = 1/10 miles = 0.1 miles
The ordered pair is (0.05, 0.1)
x = 6 minutes = 6/60 hour = 1/10 hour = 0.1 hour
y = 2 x 1/10 = 1/5 miles = 0.2 miles
The ordered pair is (0.1, 0.2)
Thus,
The ordered pairs are (0.05, 0.1) and (0.1, 0.2).
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ2
Simplify: (4x + 3 ) - (5x - 1)
Answer:
-x + 4
Step-by-step explanation:
(4x + 3) - (5x - 1)
distribute the - into the (5x - 1)
remove the ( )
4x + 3 - 5x -+1
combine like terms
-x +4
Hope this Helps!!!
1.Ms. Bowery bought five shirts and one pair of pants for a total of $56.23. Each shirt cost
the same price. The pants cost $7 more than a shirt. How much did each shirt cost? Round to
the nearest dollar and cent
A) $9.20
B) $49.26
C) $8.20
D) $10.20
Answer:
[tex]\mathrm{C)\:} \$8.20[/tex]
Step-by-step explanation:
Let [tex]s[/tex] represent the cost of each shirt in dollars. We can write the cost of the pants as [tex]s+7[/tex]. Using these terms, set up the following equation:
[tex]5s+(s+7)=56.23[/tex].
Solving, we get:
[tex]5s+s+7=56.23,\\6s=56.23,\\6s=49.23\\s\approx \fbox{$\$8.20$}[/tex]
Neeeeed helpppppp please
Answer:
Scale factor = 7
Step-by-step explanation:
Dilation with scale factor to map HEFG to DABC will be,
Scale factor = [tex]\frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}[/tex]
= [tex]\frac{\text{Length of CD}}{\text{Length of GH}}[/tex]
Length of CD = Distance between two points C(0, -7) and D(-7, 0)
= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(-7-0)^2+(0+7)^2}[/tex]
= [tex]\sqrt{98}[/tex]
= [tex]7\sqrt{2}[/tex]
Length of GH = Distance between G(0, -1) and H(-1, 0)
= [tex]\sqrt{(-1-0)^2+(0+1)^2}[/tex]
= [tex]\sqrt{2}[/tex]
Scale factor = [tex]\frac{7\sqrt{2} }{\sqrt{2} }[/tex]
= 7
LONG ANSWER TYPE QUESTIONS
11. Sara borrowed 60,000 from a money lender at 15% rate of interest per annum. What is
the interest she paid after 4 years?
I'm so confused............................................
Answer:
Step-by-step explanation:
a is not less than 0 because it is to the right of 0 on the number line, so the first statement is false. The second statement is true. The absolute value of positive a is positive a, and since a is to the right of 0 on the number line, it is greater. The third statement is false. The absolute value of positive a is positive a, not 0.
Find the area of each geometric figure or product of the polynomial.
(-6r + 3) (-3r - 3)
A) 18r2 + 9r - 9
B) -30r2 - 38r + 16
C) 40r2 + 20r - 20
D) 40r2 + 60r + 20
Answer:
Step-by-step explanation:
Nose
You need to move a figure to the right 3 units and down 4 units. What is the coordiante notation for this rule?
Answer:
4,3
Step-by-step explanation:
OPEN ENDED QUESTION
What is (-3)2?
Answer:
-6(?)
Step-by-step explanation:
-3 times 2 is -6. But why is this open ended?
Answer:
-6
Step-by-step explanation:
three twos
add the negative
What is the area of this figure?
10 cm
7 cm
6 cm
17 cm
10 cm
4cm
Answer:
285,600
Step-by-step explanation:
I calculated it I am pretty sure I am correct
Answer:
110
Step-by-step explanation:
I split the shape into smaller pieces and got 10 for the width and 7 height I multiplied them and got an area of 70 for the first shape. For the second I got the width of 4 and length of 10 multiply them and you'll get 40. Last add them and you get 110 cm.
A train at a constant speed and goes 7.5 kilometers in 6 minutes. At the rate:
How far does the train go in 1 minute?
How far does the train go in 100 minutes?
Answer:
The distance covered by a train in 1 minute = 1.25 kilometers
The distance covered by a train in 100 minutes = 125 kilometers
Step-by-step explanation:
The distance covered = 7.5 kilometers
Time taken = 6 minutes
Calculating unit rate
unit rate = 7.5 kilometers / 6 minutes
= 1.25 kilometers per minute
Thus,
The distance covered by a train in 1 minute = 1.25 kilometers
and
The distance covered by a train in 100 minutes = 1.25 × 100
= 125 kilometers
PLEASE HELP WILL GIVE BRAINLIEST!!
NEED DONE TODAY PLEASE HELP!!
Answer:
They are not traveling at the same speed (Graph attached)
Step-by-step explanation:
(Assuming that the graph and table are the two different cars)
If you look at the graph and the table, you can already see that the value for 8 in the graph is 2, when the value for 8 in the table is 1, meaning that they are not at the same speed.
To graph the table, you need to find the equation first, which is y = 8x because the corresponding value for 1 in the table is 8 and the slope (or the value next to x) is equal to the unit rate, or the value corresponding to 1. Next, you can graph it by finding two points, (0,0) and (1,8), and putting a straight line through them (or use an online graphing calculator).
(Graph is attached)
8 * 6 + (12-4) / 2 equals to what
Answer:
52
Step-by-step explanation:
Simplify the expression (Steps shown below).
I need help -5 + g = -2 step by step so I can learn
Answer:
Step-by-step explanation:
if you need to find g,
add 5 on both sides
g=-2+5
g=3
30 points! I will mark brainliest! Pic attached below
Answer:
parallel
Step-by-step explanation:
usually, you would put both into slope-intercept form...
but, you could also just use desmos :)
Answer:
Perpendicular
Step-by-step explanation:
they are the same but the seccond one is minus so the lines go the opposite way
If m∠2 = 120°, what is m∠7?
A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?
Answer:
the answer is 9 inches
360/10=36
36*.25 =9
7
You are comparing 3 different cell phone plans to see which is the cheapest:
Plan A costs a basic fee of $30 per month and $10 for every GB of data used
Try writing each plan as an
equation in y = mx + b form where
Plan B costs a basic fee of $80 per month with unlimited data
=GBs used and y total cost.
Plan C costs a basic fee of $50 per month and $5 for every GB of data used
You're looking to replace the m and
b in the equation. For Plan A, where
a) Write an equation for each plan that calculates the total cost (y) in terms of GB of data used (x) would the $30 go? Where would
the
Plan A:
Plan B:
Plan C:
$10 go?
b) Graph each plan on the following set of axes.
Cell Phone Plan Costs
Cost
100
c) When does Plan A cost the same as
Plan C?
80
60
d) Which plan is best if you only use 0-
4 GBs of data a month?
40:
20.
GBs of
8 10 data used
4
6
e) When does Plan B become the best
deal?
Answer:
Plan A equation: y = 10x + 30
Plan B equation: y = x + 80
Plan C equation: y = 5x + 50
Plan A costs the same as Plan C in 4 months
Plan A is the better option if you use 0 - 4 GBs of data each month
Plan B becomes the better deal when 8 months pass
Step-by-step explanation:
When does Plan A cost the same as Plan C?
Set the equations equal to each other (the cost) and solve for x (time in months)
10x + 30 = 5x + 50
5x = 20
x = 4 months
Which plan is best if you only use 0-4 GBs of data a month?
Test the maximum and minimum values to check which plan costs less
At 0 GBs of data used per month
Plan A: y = 0 + $ 30 = $30 total
Plan B: y = 0 +$80 = $80 total
Plan C: y = 0 + $50 = $50 total
At 4 GBs of data used per month
Plan A: y = $ 40 + $ 30 = $ 70
Plan B: y = $ 4 + $ 80 = $ 84
Plan C: y = $ 20 + $ 50 = $ 70
Comparing the plans at maximum and minimum amount of GBs used, only one plan has the lowest cost overall. Even though Plan C is the same price at 4 GBs as Plan A, when you use 0 GBs you will end up paying more in Plan C than Plan A. Therefore, Plan A is the better option
When does Plan B become the best deal?
When you plot the different Plans on a graph, the slope intercept of x = 7.5 (rounded up to 8) yields the lowest cost for plan B
When is the slope intercept form only y= mx and not y = mx+b?
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
Best buy is having 20 percent off deals on TVs. if the TV cost $415 in total, how much would you pay with the discount?
Answer:
$332.00
Step-by-step explanation:
Find the solution between - x - 3y = 6 and the equation of the line shown on the graph below.
Answer:
They are the same line.
Step-by-step explanation:
y = -1/3x - 2
-x - 3y = 6
First, we need both lines to follow the equation of y = mx + b so that we can graph them. We already have one equation in that form (the one from the graph given), so we can ignore that for now.
Next, we need to solve -x - 3y = 6. Let's first move the x to the other side of the equal sign.
-3y = x + 6
Now, since we have a similar equation to what we need, we just need to divide the y by the given number in front (or -3). But that also means that we must divide the other side by the same amount (or each variable).
-3y = x + 6. -> y = -1/3x - 2
So, your final equation for -x - 3y = 6 should be;
y = -1/3x -2
Bringing down the other equation, we get:
y = -1/3x - 2 and y = -1/3x - 2
Making both equal to each other (they cancel each other out).
Hope this helps!
(And sorry that this is a long explanation)
Solve for x.
And solve for Z
From Tales theorem: [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]
Solving for x:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]
Solving for z:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]