A new car is purchased for 23900 dollars. The value of the car depreciates at 9.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 6000 dollars?
9514 1404 393
Answer:
14.2 years
Step-by-step explanation:
The value is described by the exponential function ...
y = (initial value)·(decay factor)^x
where y is the value after x years.
The decay factor is (1 - annual depreciation) = 1 - 0.0925 = 0.9075, so we want to find x when ...
6000 = 23900·0.9075^x
6000/23900 = 0.9075^x . . . . . . . . . . . . . . divide by 23900
log(6000/23900) = x·log(0.9075) . . . . . . . take logarithms
x = log(6000/23900)/log(0.9075) ≈ 14.2396
It will be about 14.2 years until the value of the car is $6000.
Answer:
14.2
Step-by-step explanation:
GIVING BRAINLIEST
If you receive three successive discounts of 36%, 25% and 30%, you receive the same savings as one big discount of:
a) 33.6% b) 66.4% c) 71% d) 88% e) 88.5%
Answer:
B, 66.4%
Step-by-step explanation:
How many vehicles were driven at least 200 thousand kilometers
vehicles
Answer:
5
........................
Given the sequence {6144, 3072, 1536, ...}, use the rule to find a 15.
Answer:
768
Step-by-step explanation:
The sequence is just dividing by 2 each number
6144/2=3072
3072/2=1536
1536/2=768
Answer:
0.1875?
Step-by-step explanation:
I need help please, Consider triangle ABC. Determine whether each statement is true of false.
Find the Perimeter of the parallelogram with endpoints A(0, 2), B(2,5), C(5,0), and D(3,
-3).
Answer:
6 + 4 + 6 + 4 = 20
Step-by-step explanation:
Using the end points is very helpful from 1 end point to the other count as much as the squares as possible along the line until it reaches the other endpoint.
Can you please help me solve for x for this triangle please!!
Answer:
See below, please!
Step-by-step explanation:
Since this triangle is a right triangle, the two acute angles are always going to be complementary (adding up to 90 degrees). So we can set up an equation: 2x+3x+5=90. Solve this and we get x=17.
Hope this helped!
PLEASE HELP
For g(x)=x^2 -
- x, find g(x) when x = -8.
g(-8) =
what is 8+192x5, please help
Answer:
8+192x5=8+960=968 is your answer
in this figure prove that cd//ef
Answer:
1) 36 + 50 = 86 : Addition property of equality
2) m<D = m<ADB : If two angles have the same measure, then they are equal.
3) <D congruent to <ADB : if two angle are equal, then they are congruent.
4) <D, <ADB are alternate interior angles: assumed from diagram
5) CD // AB : if alternate interior angles are congruent, then the 2 lines cut by a transversal are //.
6) 130 + 50 = 180 : addition property of equality
7) m<E, m<BAE are supplements : if the sum of two angles equal to 180, then they are supplements.
8) <E, <BAE are same-side interior angles : assumed from diagram
9) EF // AB : if same-side interior angles are supplements, then the 2 lines cut by a transversal are //.
10) CD // EF : if two lines are // to the same line, then they are //.
im pretty sure this is the proof
determine the value of k if g(x)=4x-k is a tanget to f(x)=-x²+8x+20
Answer:
This seems to be incomplete because we do not know where g(x) must be tangent to f(x). So i will assume that we want g(x) to be a tangent to f(x) in the point x0.
We know that for a function f(x), f'(x) is the tangent function in at the point x.
Where f'(x) = df(x)/dx
So we can find a value of k that is equal (for some value of x) to the first derivative of f(x).
g(x) = 4*x - k
f(x) = -x^2 + 8*x + 20
f'(x) = -2*x + 8
Now we want to find a value of k such that:
4*x0 - k = -2*x0 + 8
4*x0 - k = -2*x0 + 8
4*x0 + 2*x0 - 8 = k
6*x0 - 8 = k
Then if we want g(x) to be a tangent to f(x) = -x²+8x+20 in the point x0, we must have k = 6*x0 - 8
Given d(t) = -2t^2 - 3t + 13, what is the
value of d(-3)?
A) d(-3) = 4
B) d(-3) = 40
C) d(-3) = 58
D) d(-3) = -14
Answer:
I'm pretty sure b is the answer
Can you plzzzzz help me?
Answer:
65 people
Step-by-step explanation:
0 represents the unknown value
0-19= -19
-19+17= -2
63+ the two that were lost during the journey=65
veterinary doctors marked 30 deer and released them. Later on they counted 150 deer, 12 of which had marks. TO the nearest whole number, find the best estimate of deer population.
Answer:
1800
Step-by-step explanation:
Find the missing length. The triangles are similar.
Can someone help me?
Need to show the work
Answer:
28
Step-by-step explanation:
The ratio of the triangles is 12:15 which is equal to 4:5
Then you can use that ratio to find the ?
35 would be the 5 so 4 would be multiplyed by 7
Which is equal to 28
Help me with this please!!! Will make Brainliest
Answer:
Yes
Step-by-step explanation:
UW distance = 2 spaces
VX distance = 2 spaces
Answer:
Yes
Step-by-step explanation:
They have the same length/distance. The length/distance is 2.
I hope this helps!
Okay hopefully the picture went but I need help foiling this please
Answer:
[tex]x^{2}[/tex] - [tex]z^{2}[/tex] - 2z[tex]\sqrt{5}[/tex] - 5
Step-by-step explanation:
This is the equation that you started off with:
(x - z - [tex]\sqrt{5}[/tex])(x + z + [tex]\sqrt{5}[/tex])
You can't really use FOIL on this because that's used in multiplying binomials, and this is a trinomial, but you can still break it up and simplify it this way:
(a + b + c)*(d + e + f) = (a(d + e +f)) + (b(d + e + f)) + (c(d + e + f))
So, applying that idea to the actual equation:
x(x + z + [tex]\sqrt{5}[/tex]) -z(x + z + [tex]\sqrt{5}[/tex]) - [tex]\sqrt{5}[/tex](x + z + [tex]\sqrt{5}[/tex])
= x^2 + xz + x[tex]\sqrt{5}[/tex] -xz -z^2 - z[tex]\sqrt{5}[/tex] - x[tex]\sqrt{5}[/tex] - z[tex]\sqrt{5}[/tex] - 5
= x^2 - z^2 - 2z[tex]\sqrt{5}[/tex] - 5
or [tex]x^{2} - z^{2} - 2z\sqrt{5} - 5[/tex]
4 ft
diameter =
Circumference
=
Area =
diameter (d)= 2r=2*4=8ft
Step-by-step explanation:
circumference =2πr
=2 *4*22/7
=25.14 ft
also
Area=πr^2
=4^2 *22/7
50 .28 sq ft
Answer:
Diameter: 8ft
circumference: 25.12
area: 50.24 square feet
Step-by-step explanation:
radius is 4ft
Diameter is 8ft
circumference 2×pi×radius
2×3.14×4
25.12
area (pi)radius^2
3.14×(4)^2
3.14×(16)
50.24
50 square feet
. Jacob and Sadie each got ahead on their skills practices. Jacob completed twelve fewer problems than twice the number Sadie completed. They completed a total of 127 problems. Which system of equations models this situation if Jacob completed j problems & Sadie completed s problems? A) j + s = 127
Answer:
2s-12=j
S+J=127
Step-by-step explanation:
ok so firstly you are going to have 2 problems. Jacob has 12 fewer than 2x Sadie's so it will look like this, 2s-12=j
. 2x Sadie's minus 12 will give you Jacobs. and then it tells you that together they have 127 completed so S+J=127
hope this helps!!
14.The volume of a cube whose edge is 3x is _______.
FASTT!!!
Answer:
[tex]27x^3[/tex]
Step-by-step explanation:
Please answer I will give BRAINLIEST if i can
Answer:
Glass A holds the most, It holds more than glass B because of its cone shape.
Step-by-step explanation:
I hope I helped you, now have a good day and good luck!! ;)
what is the equation of the line that passes through the point (3,-8)and has a slope of 0
Answer:
y = -8
Step-by-step explanation:
no slope so y is always the same, the y value is -8 so y = -8
Screenshot below, please help
Answer:
Angles 2 and 5
Step-by-step explanation:
The first choice is wrong because they are not equivalent to each other
Solve for x
(-4x + 4).-3= 24
answer:27
because -4 +4 = 0 x -3= -3 +27= 24
Marissa bought 60 horns for her New Year’s Eve party for $83.40. She needs to purchase an additional 18 horns for the party at the same unit rate. Choose True or False for each statement.
Marissa will spend $1.49 for each horn.
Marissa will spend $25.02 on the new horns.
Marissa will have a total of 78 horns.
Marissa will spend a total of $108.42 on horns for the party
Answer:
False
True
True
True
The inequality that will determine the number of items that need to be sold to make a profit is . The solution to the inequality is . The company must sell at least items to make a profit.
Answer:
1: A (7.5x – 100 > 79.86 + 5.8x)
2: D (x > 105.8)
3: D (106)
Step-by-step explanation:
EDG 2021
Answer:
The inequality that will determine the number of items that need to be sold to make a profit is
✔ 7.5x – 100 > 79.86 + 5.8x
The solution to the inequality is
✔ x > 105.8
The company must sell at least
✔ 106
items to make a profit.
Have a bless day. :D
classify this triangle
Answer:
Acyte, Scalene. please mark brainliest when its correct:)
Answer:
acute scalene
Step-by-step explanation:
The best guess is a acute scalene because the measure of the angles aren't shown. However, when you have both the measure of sides and angles, you can use the following image can help you classify triangles :
whoever can help me will gwt the brainliest!
Answer:
9. 7*12*14=1176
10. 6*5*8=240
11.6*8*15=720
12. 11*5*9=495
13. 7*16*28=3136
14. 13*8*24=2496
Please help I don’t get it
Answer:
4.718592
Step-by-step explanation:
To get to -14.4 from 18 you multiply 18 x 0.8
Repeat that until you get to the 7th term
18 (1st)
18 x 0.8 = -14.4 (2nd)
-14.4 x 0.8 = 11.52 (3rd)
11.52 x 0.8 = 9.216 (4th)
9.216 x 0.8 = 7.3728 (5th)
7.3728 x 0.8 = 5.89824 (6th)
5.89824 x 0.8 = 4.718592 (7th)
Find the slope of the line.
The slope of the line is
Answer:
0
Step-by-step explanation:
The line is horizontal