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.
1. ORDER OF OPERATIONS & SUBSTITUTION - Evaluate the expression
below if x,y and z are the following values: *
x = 3,
y = 1,
and z = -2
x² + y
Z +-3
Answer: -2
Step-by-step explanation:
3 squared + 1, -2 +-3
10/-5= -2
Answer:
-2
Step-by-step explanation:
What is the value of 2/7 divided by 4/9
Answer:9
Step-by-step explanation:
dk
Answer:
its 0.642857 pls tell me if im wrong lol srry if it is
Justin has $57.18 in his checking account. He deposits his paycheck of $256.79. He then buys $68.42 in groceries, $50.00 in gas, and 2 movies for $15.58 each. What is the new balance in Justin’s checking account?
2/5k - 3/5 + 1/10k ?
Answer:
Since it is not an equation u wont get a numerical value
so basically its just fraction addition and subtraction
which is ((2/5)-(3/5)+(1/10))k
so answer is (-1/10)k
Step-by-step explanation:
[tex] \frac{2}{5} k \: - \frac{3}{5} + \frac{1}{10} k[/tex]
[tex] \frac{4}{10} k + \frac{1}{10} k - \frac{3}{5} [/tex]
[tex] \frac{5}{10} k - \frac{3}{5} [/tex]
[tex] \frac{k}{2} - \frac{3}{5} [/tex]
The points in the table lie on a line. Find the slope of the line.
Answer:
slope: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
If we were to plot the first pair on a graph it would be (-2,3) and the next pair of points plotted would be (0,4). The intercepts are [tex]x^{1},x^{2}[/tex] and [tex]y^{1}, y^{2}[/tex]. To find the slope of a line using pairs of plotted points, you need to use the slope formula [tex]\frac{rise}{run}[/tex] to solve this.
- write your formula
[tex]\frac{rise}{run} : m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]
- plug in your numbers
[tex]m=\frac{4-3}{0-(-2)}[/tex]
- solve
[tex]m=\frac{1}{2}[/tex]
I hope this helps!
15 POINTS A 4-inch length is represented as 1/8 on a scale drawing. What is the scale used on the drawing?
1 foot=3/4 inch
1 foot =3/8 inch
1 foot= 1/2 inch
1 foot = 1/4 inch
Please explain im not good at scales and models.
9514 1404 393
Answer:
(b) 1 foot = 3/8 inch
Step-by-step explanation:
The given ratio is ...
actual : scale = 4" : 1/8"
You know that 1 foot = 12 in = 3×4 in, so you can multiply the above ratio by 3 to see what it is for 1 foot.
actual : scale = 3×4" : 3×1/8"
= 12" : 3/8"
= 1 foot : 3/8 in
______
Alternate approach
Essentially, we're saying that the ratios between actual measures and those on a scaled drawing or model form a proportion.
scale / actual = (1/8")/(4 in) = ??/(12 in)
Multiplying by 12 in, we get ...
?? = (12 in)(1/8")/(4 in) = 3×1/8"
?? = 3/8"
__
More detail
Notice that this only works when the units in the ratio (12 in)/(4 in) cancel to give a pure number 12/4 = 3.
If we had put 1 foot in the proportion, then we would end up with ?? being expressed in feet, not inches:
(1/8")/(4") = ??/(1 ft)
?? = (1 ft)(1/8")/(4") = (1 ft)(1/32) = 1/32 ft
Then, to find the answer to the question, we would have to find out how many inches is 1/32 ft.
1/32 ft = (1/32)(12 in) = 12/32 in = 3/8 in
__
End comment
For best results, the units in corresponding parts of a proportion should be the same.
The girls' swim team is hosting a fundraiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.
This question is incomplete
The girls' swim team is hosting a fund raiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.
Write a system using c for candles and f for flowers.
Answer:
c + f ≤ 200
5c +6f ≥ 500
Step-by-step explanation:
Using
c for candles
f for flowers.
The girls estimate that at most they will sell 200 items.
At most is a statement that means : Less than or equal to with the inequality sign (≤)
Hence:
c + f ≤ 200
They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.
At least is a statement that means : Greater than or equal to with the inequality sign (≥)
Hence:
$5 × c + $6 × f ≥ $500
5c + 6f ≥ 500
Therefore, the system of inequalities is given as:
c + f ≤ 200
5c + 6f ≥ 500
What is the first step in solving this problem:
-2 •(3+8+4)2
What is the next term of the arithmetic sequence 1, -2, -5, -8, ...
Answer:
-11
Step-by-step explanation:
Subtract 3 everytime
Answer:
-11
Step-by-step explanation:
coz
1-3= -2
-2-3= -5
-5-3= -8
-8-3= -11
b) Prove that
Tan 47°\cot 43°= 1
Answer:
Here's the proof
Step-by-step explanation:
tan(47°)/cot(43°)
=tan(90°-47°)/cot(43°)
=cot(43°)/cot(43°)
=1 (proven)
Answer:
Step-by-step explanation
Loll
Mia reads her favorite book. Thr equation y=25x represents the number of pages read over the amount of days.
is it proportional and the unit rate? (hw help)
Answer:
yes, it is proportional because the slope is constant, and it is a linear equation
the unit rate is 25 x's per y
Step-by-step explanation:
Nolan bought 3 postcards while on vacation for 1 week how many weeks will Nolan have to spend on vacation to buy 15 postcards if he buys them at that rate
Answer: 5 weeks
Step-by-step explanation:
In the 1 week he was on vacation, Nolan was able to buy 3 postcards.
The rate he is buying postcards is therefore 3 per week.
If he needed to buy 15, he would need to be there for:
= 15 postcards/ 3 postcards a week
= 5 weeks
If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), determine the coordinates of the other endpoint.
Answer:
The other end of the line segment is at (-8, 3)
Step-by-step explanation:
Since we know one end point and the midpoint, all we need to do is take the vector from the end point to the midpoint, and add it again to the midpoint to find the other end point:
dx = -5 - (-2) = -3
dy = -1 - (-5) = 4
-5 + dx = -8
-1 + dx = 3
So the other end of the line segment is at (-8, 3)
If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), the coordinates of the other endpoint are (-8, 3)
The midpoint of a line segment is given as:
[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]
One of the endpoints of the line segment is (-2, -5)
That is, [tex]x_1=-2, y_1=-5[/tex]
Let the coordinates of the other endpoint be [tex](x_2, y_2)[/tex]
Solving for [tex]x_1[/tex] and [tex]y_1[/tex] in the equation:
[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]
[tex]-5=\frac{-2+x_2}{2} \\\\-2+x_2=-5(2)\\\\x_2=-10+2\\\\x_2=-8[/tex]
Solve for [tex]y_2[/tex]
[tex]b=\frac{y_1+y_2}{2} \\\\-1=\frac{-5+y_2}{2} \\\\-2=-5+y_2\\\\y_2=-2+5\\\\y_2=3[/tex]
The coordinates of the other endpoint are (-8, 3)
Learn more here: https://brainly.com/question/20696453
What is the product of d – 9 and 2d2 + 11d – 4?
2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36
Answer:
A.
2d3 – 7d2 – 103d + 36
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
14 m
4m
What is the area of the figure to the nearest hundredth? Enter the answer in the box.
square meters
Answer:
Step-by-step explanation:
we have a rectangle and a semicircle,
area rectangle=14*4=56
area of semicircle
diameter is 4, than r=2
A of the circle=3.14*r^2=3.14*4=12.56
we have a semicircle so we will divide the area by 2
A=12.56/2=6.28
total area=56+6.28=62.28
Liz is measuring her paper clips. She lines 8 paperclips up along the side of a notebook. The side of the notebook measures 10 2/3. What is the length of each paper clip?
Answer: Each paper clip is [tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
Simply divide how long the notebook is, by how many paper clips there are, [tex]10\frac{2}3}[/tex] divided by 8.
1. Which polygon or polygons are regular?
The polygons that are regular are:
Triangle, Parallelogram, and Square.
Options A, B, and C are the correct answer.
What is a cube?It is a polygon having six faces.
The volume of a cube is side³.
We have,
A regular polygon is a polygon where all the sides are equal and the interior angles are equal.
Now,
Figure 1 is a triangle.
Figure 2 is a parallelogram.
Figure 3 is a square.
Figure 4 does not have the same side and the same interior angles.
Thus,
Figure 4 is not a regular polygon.
Learn more about cubes here:
https://brainly.com/question/11168779
#SPJ2
PLS HELP FOR BRAINLIST!!!!!!!
I need help on the 4th column
Answer:
1200¹⁴⁴/₁₂Step-by-step explanation:
at fourth column:
percentage of 12 = 12 (100) = 1200fraction = 144 / 12Find the asymptotes of the following functions
Answer:
a) y = -6/x has a vertical asymptote at x = 0
b) y = 1/(2·x) - 1 has two asymptotes;
1) A vertical asymptote at x = 0
2) A horizontal asymptote at y = -1
Step-by-step explanation:
The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity
a) The given equation is y = -6/x
Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0
b) The given equation is y = 1/(2·x) - 1
∴ y = (1 - 2·x)/(2·x)
The function has a vertical asymptote at x = 0
The function has an horizontal asymptote at y = -2/2 = -1
Warren used 1/2 of tube of toothpaste and 1/3 of a year at that rate how much toothpaste would he use in one year
Answer:
3 toothpaste
Step-by-step explanation:
Tube of toothpaste : year
1/2 : 1/3
how much toothpaste would he use in one year
Tube of toothpaste : year
x : 1
Seductions
1/2 : 1/3 = x : 1
1/2 ÷ 1/3 = x / 1
1/2 × 3/1 = x/2
3/2 = x/2
x = 3/2 ÷ 1/2
= 3/2 × 2/1
= 6/2
x = 3 toothpaste
Answer:
its 1 1/2
Step-by-step explanation:
Find Warren's rate in tubes of toothpaste per year. Divide
1
2
of a tube of toothpaste by
1
3
of a year.
To divide by
1
3
, multiply by its reciprocal, 3.
1
2
÷
1
3
=
1
2
3
=
13
2
Simplify.
13
2
=
3
2
= 1
1
2
Warren used the toothpaste at a rate of 1
1
2
tubes per year. So, he would use 1
1
2
tubes in 1 year.
HEEEEELP PLEASEEEE THAAAAAAANK YOUUUUU
Answer:
250/30= 25/3
inverse of 25/3= 3/25
Step-by-step explanation:
7. it is on gradpoint
For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other.
A. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant force 25 lb, yes
B. 13 lb, 35 lb, resultant force 30 lb, yes; 20 lb, 15 lb, resultant force 25 lb, no
C. 13 lb, 35 lb, resultant force 30 lb, yes; 20 lb, 15 lb, resultant force 25 lb, yes
D. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant force 25 lb, no
Answer:
A. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant 25 lb, yes
Step-by-step explanation:
From the given problem, I gather that there are only two groups of forces. These are:
13 lb, 35 lb, resultant force 30 lb
20 lb, 15 lb, resultant force 25 lb
We use the pythagorean theorem to determine if the three forces are grouped correctly, such that the resultant force is the hypotenuse.
Resultant Force = √(a² + b²)
So, for the first group,
30 ? √(13² + 35²)
30 ≠ 37.33
Thus, the first group does not pull at right angles to each other.
For the second group,
25 ? √(20² + 15²)
25 = 25
Thus, the second group does pull at right angles to each other.
convert 27℅ to a decimal to a fraction and show a example how.
Answer:
27% to .27 to 27/100
Step-by-step explanation:
So you take your number 27 and remove your % sign then you put your decimal at the last number on your right like this 27. so to make a percent into a decimal you have to move it twice to the left. so it will look like this as a decimal .27 to make it into a fraction look at the placement it is in the hundredths place so 27/100
Answer:
0.27
Step-by-step explanation:
You have to divide 27 by a 100. So you make 27 as 27.00 then you divide it by 100 and it give you 0.27 hope this is right and helped
solve for x and express in simplest radical form
PLS HELP AND EXPLAINNN
Find the area of a circle with a radius of 9
i know the formula but im doing something wrong i need help
Answer:
A≈254 cm^2
Step-by-step explanation:
The area of a circle is given by formula: π r^2
π has a constant value of 3.14 And the radius of the circle is 9 c m
the area= π r^2 = 3.14 x (9)^2 cm^2
= 3.14 × ( 81 )
= 254.34 c m^2
≈ 254 c m^2
what is 7-2x+3+5x+4x2
Answer:
7x+14 I think is correct. it's just combining like terms
In triangle MNP, side m is 54.5 inches, side n is 51.4 inches, and side p is 60 inches long. What is the measure of P?
Answer:
P = 68.95
Step-by-step explanation:
Here, we want to get the measure of angle P
Please check the attachment for the diagram of the triangle
To get P, we use the cosine rule
p^2 = m^2 + n^2 - 2mn Cos P
60^2 = 51.4^2 + 54.5^2 -2(51.4)(54.5) Cos P
2012.21 = 5602.6 Cos P
cos P = 2012.21/5602.6
cos P = 0.3592
P = arc cos 0.3592
P = 68.95
Can some one solve 1 for me plz I need to pass this test it is timed
I’ll give out a crown
Answer:
(x +8) (x - 3)
Step-by-step explanation:
Hope it helps you in your learning process.
Which two grids have 25% shaded
Answer:
there's no grid provided
Steph and heather run a 5k run race . Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course. How much farther does heather run than steph
Answer:
2.07 miles
Step-by-step explanation:
If Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course, the difference in the distance run by Heather and Steph is 3/3 - 3/9 = 1 - 1/3 = 2/3
Since a 5k run race is 3.1 miles, Heather goes 2/3 × 3.1 miles = 6.2/3 miles = 2.07 miles more than Steph.