Brayden purchased a new car in 1995 for $ 20 , 000 $20,000. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $ 6 , 800 $6,800 in the year 2000, then what would be the predicted value of the car in the year 2006, to the nearest dollar?
Answer:
$1863
Step-by-step explanation:
The model for exponential decay (depreciation) is [tex]y=y_0e^{-rt}[/tex].
r is the depreciation rate (which can be found first)
t is the time since the initial purchase
y is the value of the car at time t
[tex]y_0[/tex] is the initial purchase price (t = 0)
Year 0 is 1995.
2000 is year 5.
So, [tex]6800=20000e^{-r\cdot5}\\\\\frac{6800}{20000}=e^{-5r}\\[/tex]
To solve for r take the logarithm of both sides.
[tex]-5r=\ln\left({\frac{6800}{20000}\right)\\\\r=-\frac{1}{5}\ln\left({\frac{6800}{20000}\right) \approx 0.215762[/tex]
Now find the value of the car in 2006, which is year t = 11.
[tex]y=20000e^{-0.215762\cdot11} \approx 1863[/tex]
What is the missing number 30 ÷ 10 = 30 · ?
Please helpppppp
Answer:
hi
Step-by-step explanation:
i think it is 1/10
hope it helps
have a nice day
What is the length of a diagonal of a cube with a side length of 3 cm? O 18 cm 0 27 cm 182 cm OW38 cm
Answer:
18 cm
Step-by-step explanation:
please mark this answer as brainliest
Answer:
18 cm
Step-by-step explanation:
The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3.
Given: side x = 3 cm
Use the diagonal formula,
Diagonal of cube = 3–√x
Diagonal of cube = 3–√ × 3
We know that the value of √3 is 1.734
Therefore, the diagonal of a cube = 1.734 (3)
Diagonal of cube = 5.20 cm
Find the lowest common multiple (LCM) of 56 and 42
Answer:
168
Step-by-step explanation:
Part K
You have established that circles A and B are similar. What conclusion can you make about any two given circles?
Answer:
i dont see a circle
Step-by-step explanation:
Answer:
All circles are similar.
Step-by-step explanation:
Because circles are the same shape, they are similar by nature.
330 sixth graders were asked what their favorite sport is. If 20% said baseball how many students said baseball was their favorite sport
Answer:
66
Step-by-step explanation:
330/1000 by 20(...)=66
-6 George has a choice of a $7,200, simple interest loan at 3.8% that he has to start paying back after 3 years, or a $7,500, annual compound interest loan at 3.5% that he also has to start paying back after 3 years. Which method should he choose, simple or compound, and how much less interest will he owe using that method? (8.1A, 8.1B, 8.1C, 8.16) F Compound interest; $79.03 G Simple interest; $79.03 H Compound interest; $5.42 J Simple interest; $5.42
Answer:
Compound interest; $5.42
Step-by-step explanation:
Uhhh what?
A. 120
B. 30
C. 90
D. 45
How many numbers are from k to n? (Including k and n.)
*Do not give me a wrong answer, as you may be blocked. Only answer if you know it!
Answer:
n - k + 1
Step-by-step explanation:
This is assuming (because you did not say) that n and k are integers and n is greater than k.
Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.
Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}
HELP ME PLEASE! I need to find the Interquartile range of : 0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10
Answer:
The interquartile range is 5
Tony bought 48 roses for $24. How much do 24 roses cost?
Answer:
$12.
Step-by-step explanation:
48 divided by $12 = $12.
Please mark brainiest thank you
WILL GIVE BRAINLIEST!!
Hazeline Allen's mortgage loan amount is $87.750. She financed her house
for 30 years with monthly payments of $725. At the end of 30 years, what
will be the total amount Hazeline will pay for the house? *
a $116,115
b $152,725
c $173,250
d $261,000
Answer:
Letter C
Step-by-step explanation:
trust me its right!
Find the difference:
5 2
7 7
Answer:
3
0
Step-by-step explanation:
Difference means subtraction
5-2 =3..
7-7=0
Heres just another one and my answer was 417.45 and says I’m wrong I’m I missing something?
Answer:
805.05333.....
Step-by-step explanation:
To find the volume of a pyramid you need to multiply the bases length, width, height , and [tex]\frac{1}{3}[/tex]
but since 20.7 is not the height then you would need to find it
So imagen a line down the very middle of the pyramid
and connect that with the 20.7in line then connect it again and that makes a triangle.
So there is a formula and it is a²+b²=c²
in this problem a is the missing height b is 11/2 which is 5.5 and c is 20.7
a²+5.5²=20.7² ---> 428.49-30.25=a² --->398.24=a² --->19.955951.....=a
11 x 11 x 19.960 x [tex]\frac{1}{3}[/tex] = 805.05333.....
Answer:
volume = 805.05 in³
Step-by-step explanation:
Here's my calculations.
first, finding the true height (not the slope length):
using the Pythagorean theorem:
height² = 20.7² - 5.5² = 428.49 - 30.25 = 398.24
height = √398.24 = 19.96 in
base = 11 x 11 = 121
volume = 1/3bh = 1/3(121)(19.96) = 805.05 in³
DUE AT 12 SO LIKE HURRY
Arthur's brother wants to borrow some money. Arthur decided to lend him $1000 at 2% simple interest. If the loan will cost his brother $50, how much time does he have before he has to pay Arthur back. (See Example 2 in your notes.)
a
2 years
b
2.5 years
c
3 years
d
3.5 years
Answer:
2.5
Step-by-step explanation:
Answer: b. 2.5 years
Step-by-step explanation:
The formula for Interest is:
= principal × rate × time
Then, we slot in the values given which will be:
Interest = principal × rate × time
50 = 1000 × 2% × Time
50 = 1000 × 0.02 × Time
50 = 20 × Time
Time = 50/20
Time = 2.5 years
He has 2.5 years to pay back
Find the length of BC .
72
54
40.5
108
value of n=72
Answer:
∆ABC~DEF
since the side of similar triangle are proportional
[tex] \frac{AB}{DE} = \frac{BC}{EF} [/tex]
[tex] \frac{54}{9} = \frac{n}{12} [/tex]
6×12=n
n=72
If you were to 'unroll' the cylinder you would find the the side is actually a rectangle when flattened out.
Step-by-step explanation:
true
and the top and bottom are just circles
The statement is true whenever the cylinder is unrolled the result will be the rectangle.
What is a cylinder?The Cylinder is a solid geometry with right straight sides and has a circular cross-section.
If we unroll the cylinder we will get a rectangular shape. having four sides two opposite sides are parallel and equal to each other.
Hence the statement is true whenever the cylinder is unrolled the result will be the rectangle.
To know more about cylinders follow
https://brainly.com/question/23935577
#SPJ2
PLSSSSSSSSS HELP MEEEEEEEEEEEEEEEEEEEEEEEE
Input each points. (x,y) for each equation to find out if the system of equations are equivalent.
Point (-3,4) is a solution of this system of equations.
Point (-2,-6) isn't a solution of this system of equations.
Point (-4,3) is a solution of this system of equations.
A) Work out the size of angle x. B) Give reasons for your answer.
Answer:
X=105
reason beng corresponding angle
Answer:
75
Step-by-step explanation:
Jordan and 4 of his friends are are riding in a car. What is the probability that Jordan is in the front passenger seat?
Answer:
0.20 or 20%
Step-by-step explanation:
We already know that (assuming we aren't counting a car that has seats in the truck area) there are five possible spots to sit in: the driver's seat, the front passenger (famously known as "shotgun"), middle/back left passenger, middle/back right passenger, and middle/back middle passenger.
By dividing 1 from 5 (1/5) you get a 20% chance of sitting in shotgun.
So, not that high, but its better than nothing.
Hope this helped!
Source(s) used: G*ogle Calculator
Answer:
20%
Step-by-step explanation:
please help me graph the equations y=3x and 6x+2y=12
also please tell me the coordinates
Answer:
The coordinates are x=1 y=3
Step-by-step explanation:
Trig homework. Find the two missing sides and write your answer as in simplified radical form.
Answer:
u = 8, v = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{2} }{u}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
u = 8
The triangle is right isosceles with legs congruent, so
v = 4[tex]\sqrt{2}[/tex]
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 21.5 centimeters. After 21 hours of burning, its height is 16.7 centimeters. What is the height of the candle after 15 hours?
Answer:
The height is 18.5cm
Step-by-step explanation:
Given
Let
[tex]y =height[/tex]
[tex]x = time[/tex]
So, we have:
[tex](x_1,y_1) = (5,21.5)[/tex]
[tex](x_2,y_2) = (21,16.7)[/tex]
Required
The height after 15 hours
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{16.7-21.5}{21-5}[/tex]
[tex]m = \frac{-4.8}{16}[/tex]
[tex]m = -0.3[/tex]
The linear equation is then calculated as:
[tex]y =m(x - x_1) + y_1[/tex]
Where
[tex]m = -0.3[/tex]
[tex](x_1,y_1) = (5,21.5)[/tex]
This gives:
[tex]y =-0.3(x - 5) + 21.5[/tex]
Open bracket
[tex]y =-0.3x + 1.5 + 21.5[/tex]
[tex]y =-0.3x + 23[/tex]
After 15 hours
[tex]x = 15[/tex]
[tex]y =-0.3*15 + 23[/tex]
[tex]y =-4.5 + 23[/tex]
[tex]y =18.5[/tex]
The height is 18.5cm
I have a 3 yellow m&m's, 5 blue m&m's, and 4 red m&m's. What is the probability if I choose a red and do not not put it back and then choose a yellow?
Answer:
8.3% probability
Step-by-step explanation:
(3) YELLOW ⇒ [tex]\frac{3}{12}[/tex] ⇒ 25%
(5) BLUE ⇒ [tex]\frac{5}{12}[/tex] ⇒ 41.6%
(4) RED ⇒ [tex]\frac{4}{12}[/tex] ⇒ 33.3%
║(12) IN TOTAL
[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]
[tex]\frac{1}{12}[/tex] = 8.3%
PROBABILITY OF (1) RED, AND (1) YELLOW ⇒ 8.3% probability
PLEASE HELP ME WITH THIS ITS DUE IN 15 MINS!! WILL GIVE BRAINLIST!! HELP!
Answer:b
Step-by-step explanation:
please answer question 5 on the picture tysm xx
I think it's easier to not factor it, so we will be using formulas.
-b/2a=x
6/2=3=x
y=-25
(3,-25)
Jillian is given $15 to buy snacks and drinks. If Jillian spends 2/3 of her money on snacks and the rest on drinks, how much money does she spend on drinks, in dollars?
Answer:
$5
Step-by-step explanation:
The amount of money spent on snacks is
2/3 × $15= $10
15-10= 5
=$5
or
1/3 ×15
= 5
The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of the larger cylinder. (Create two proportions, set them equal to each other and solve for x)
Answer:
1809 cm³Step-by-step explanation:
Given the scale factor:
k = h/H = 1/3Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.
The volumes are:
v = 67 cm³V = xRatio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:
v/x = k³67/x = (1/3)³x = 67*27x = 1809 cm³PLZ HELP I DONT UNDERSYAND
cait has a 300-centimeter ribbon that cut into smaller pieces for decorations select all the ribbon lengths that could be cut from the original ribbon.
A. 1.8 meters and 110 centimeters
B. 200 centimeters and 2 meters
C. 3 meters anfd115 centimeters
D. 17 centimeters and 2.9 meters
E. 0.63 meters and 240 centimeters
F. 192 centimeters anf 0.19 meters
(suggested by my sister plz help her ty)
Answer:
The answer is letter A and letter F.
Step-by-step explanation:
The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.
A pasture with horses and goats has a width
of 1/4 mile. The length of the pasture is
represented by x + 8 . Which pair of expressions
represents the area of the pasture and uses the
distributive property to show equivalence?
Answer:
x=-31/4
Step-by-step explanation:
1/4 =x+8
Step 1: Flip the equation.
x+8=
1
4
Step 2: Subtract 8 from both sides.
x+8−8=
1
4
−8