a. The value of the car when it is 4 years old is approximately $13,645.23.
b. The car has depreciated by about $16,367.54 after 5 years.
To find the value of the car when it is 4 years old, we can substitute t = 4 into the given function:
c(4) = 27,200(1 - 0.21)^4
c(4) = 27,200(0.79)^4
c(4) ≈ 13,645.23
b. To find the total depreciation amount after 5 years, we need to find the difference between the original purchase price ($27,200) and the value of the car after 5 years. Using the function given, we can find the value of the car after 5 years by setting t = 5:
c(5) = 27,200(1 - 0.21)^5
c(5) = 27,200(0.79)^5
c(5) ≈ 10,832.46
Therefore, the total depreciation amount after 5 years is:
27,200 - 10,832.46 ≈ $16,367.54
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Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that
Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid's weight, Pythagoras's
weight would still be á pound less than he did in January. What is Euclid's weight?
4
(a) Write an equation that represents the scenario. Begin by defining your variable.
(b) Solve the equation. Show your work.
(c) What is Euclid's weight?
(d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined
weight of the three dogs is 603 pounds. What is Riemann's weight, and what is Pythagoras's
2
weight? Show your work.
We want to answer different things about the weight of the dogs, with simple algebra we will find that the answers are:
a) P - 13lb + 1.2*E = P - 1lbb) E = 10lbc) Euclid's weight is 10 pounds.d) Pythagora's weight is 33 pounds and Riemann's weight is 20 pounds.We start by defining the two variables we will be using:
E = Euclid's weightP = Pythagoras's weightFirst, Pythagoras loses 13 lb, then his new weight is:
P' = P - 13lb
We know that if he wins 1.2 Euclid's weight, he will still have a pound less than before.
A) using the above information we can rewrite:
P - 13lb + 1.2*E = P - 1lb
This is the equation we need to solve.
b) So we want to solve this for E, then we move all the other terms to the right side:
1.2E = P - 1lb - P + 13lb
1.2E = 12lb
E = (12lb)/1.2 = 10lb
c) The solution of the above equation tells us that the weight of the dog is 10lb.
d) Let's define R as the weight of the third dog.
We know that:
R = 2*E = 2*10lb = 20lb
We also know that the combined weight of the 3 dogs is 63 lb, then we have:
E + R + P = 63lb
10lb + 20lb + P = 63lb
P = 63lb - 10lb -20lb = 33lb
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Use the distributive property to simplify this expression -2x(3x + x-5)
Answer:
− 8 x ^2 + 10 x
Step-by-step explanation:
an object is dropped from a height of 25 meters at what velocity will it hot the ground
Given data
height (h) = 25 m ,
velocity (v) = ?
we know that,
v²-u² = 2as
initial velocity (u) = 0,
a = g = 9.8 m/s ,
Now the equation becomes,
v² = 2 × g × h
= 2 × 9.8 × 25
v² = 490.5
v = √490.5
v = 22.1 m/s
Therefore answer is C , i.e., 22 m/s
Sal bought x shares of a stock that sold for 31.50 per share. He paid a 1% commission on the sale. The total cost of his investment, including the broker fee, was $5,726.70. How many shares did he purchase.
Answer:
180
Step-by-step explanation:
add 1% to 31.50 to get 31.815
then take the total 5276.70 and divide by 31.815
HELP PLEASE
To divide the function f(x) by (x2-4x-12), we find that the quotient is Q(x) and the
remainder is (x+6). If f(-2)=a and f(6)=b, what is the value of b/a?
Answer:
b/a = 3
Step-by-step explanation:
f(x) / (x²-4x-12) = Q(x) + (x+6)/(x²-4x-12)
f(x) = Q(x)*(x²-4x-12) + (x+6)
x= - 2 ... when f(x) is f(-2) x²-4x-12 = 4+8-12 = 0
a = f(-2) = Q(x)*0 + (-2 + 6) = 4
x= 6 ... when f(x) is f(6) x²-4x-12 = 36-24-12 = 0
b = f(6) = Q(x)*0 + (6 + 6) = 12
b/a = 12/4 = 3
Complete the process of solving the equation.
Fill in the missing term on each line. Simplify any fractions.
9W + 1 = 19
9w =
Subtract 1 from both sides
W =
Divide both sides by 9
Answer:
see explanation
Step-by-step explanation:
9W + 1 = 19 ( subtract 1 from both sides )
9W = 18 ( divide both sides by 9 )
W = 2
CAN YOU PLS HELP MEEEE
Answer:
10x - 2y
Step-by-step explanation:
simplify the expression.
8x–2y + x + x
combine numbers that have the same variables
8x + x + x
*those x have 1 coefficient each.
it will be 8x+1x+1x = 10x then –2y
10x–2y.
Hope it helps :)
A rectangular plot,72 metre long and 20 metre wide on a school farm,is divided into 18 equal plots, what is the area of each plot?
Answer:
80 square metres
Step-by-step explanation:
A = L× w
= 72×20
= 1440
answer ÷ 18 = 80
HELP PLEASE 20 POINTS
Answer:
a b and j?
Step-by-step explanation:
Help help help help math math math
Answer:
55º
Step-by-step explanation:
The 125º angle makes a straight angle (180º) with the one next to it. This makes the angle next to it (adjacent angle) 55º. According to the rules of a transversal, the adjacent angle said above and angle 2 are alternate interior angles, making them equal.
2x2 is what its due in 1 minute
Answer: 4
Step-by-step explanation: You multiplied 2 and 2 which equals to 4
Answer:
9
Step-by-step explanation:
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
In the multiplication sentence below, which number is the product?
9x 10 = 90
A. 9
B. 10
C. 90
SUBMIT
Answer:
C. 90
Step-by-step explanation:
The numbers being multiplied are "factors." The result of multiplication is a "product." In this problem, the product is 90.
Expand and simplify
(7-3x) (6x + 1)
Answer:
-18x^2+39x+7
Step-by-step explanation:
Determine the y-intercept of the following equation.
(-2 - 1)(2+3) = y
Answer:
(0,-15)
Step-by-step explanation:
i think.. trust someone else!! I'm not 100% sure...
Select all the correct answers.
Which equations have a greater unit rate than the rate represented in the table.
We need slope/rate of the table
(3,2)(6,4)[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{4-2}{6-3}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{2}{3}[/tex]
Slopes of all options
5/7=25/213/5=9/151/37/9 7/11=21/33Option D is correct
Option
-) Which is a valid velocity reading for an object? O 45 m/s O 45 m/s north 23 O O m/s south O 0 m/s ok Save and Exit Next Mark this and return
Answer:
Step-by-step explanation:
0 can't have a direction. It does not move. It has no speed component. Therefore 0 m/s south is not the answer.
45 m/s has no direction stated. It is just a speed, not a velocity.
45 m/s north is a velocity. It has both speed and direction.
Please help me solve this problem, thank you.
Step-by-step explanation:
first you need to find the 17 and 8 triangles missing sides length so we do a squared plus b squared equals c square and since we have c which is 17 we subtract 8 squared or 64 from 17 square and we get 225. next the missing line from the next one is done the same way 225 minus 9 squared or 81 and we get 144 and the square root of that is 12 we do 12 squared 144 minus 6 squared because we already know that the side is six because it gives it to us and we get 10.392
Brainliest for right answer.
Answer:
441 millimeters of compound B
Step-by-step explanation:
4 + 7 = 11
693/11 = 63
7 · 63 = 441
HELP I'LL GIVE BRAINLY
Answer:
code is 4163
Step-by-step explanation:
x-35=27;x=64
-96=-8x;x=12
6=x/4 +2;x=16
76-3x=-29; x=31
code is 4163
Answer:
at least 8
Step-by-step explanation:
im from k12
Jaime is three years younger than his brother Keegan. In five years, the sum of their ages will be thirty-nine.
How old are they now?
Answer:
Keegan is 16 and Jamie is 13.
Step by Step Explanation:
So if we were to take the number 39 and divide it by 2, we would get 19.5. Since Jaime is 3 years younger, we would subtract 3 from one of the 19's. Then we would add 1.5 to both of the numbers since that 3 we subtracted has to go somewhere in that 39, and we come up with the numbers 21 and 18. Since it is asking how old they are NOW and not in the future, we subtract 5 from both numbers to account for the 5 years, and we end up with the years 16 and 13.
Math:
39÷2 = 19.5
19.5 19.5
-3
___________
16.5 19.5
+1.5 +1.5
___________
18 21
-5 -5
13 16
Francine recorded today's high
temperature as 78.6°F. Today's low
temperature was 4.7°F less than
that. How much cooler was today's
low temperature than yesterdays low
temperature, which was 77.4°F?
Answer:
3.5
Step-by-step explanation:
the problem says 4.7 less than which refers to subtraction so we can plug our numbers into a subtraction problem like so
78.6-4.7 which equals 73.9
the second part of the problem asks the difference between yesterday's low and today's.
we can take the two lows and subtraction them to find this answer.
77.4-73.9 which equals 3.5
so today's low was 3.5 degrees cooler than yesturdays
3+3=6! Easy for kids to learn!
Answer:
indeed
Step-by-step explanation:
3+3=6
In this triangle, cosA/cosB=
Answer:
1
Step-by-step explanation:
In sohcahtoa:
Cos (c) = adjacent (a) / hypotenuse (h)
cosA = adjacent / hypotenuse. The hypotenuse is 4.24 (the side opposite the right angle) and the side next to A is 3, so cosA = 3/4.24
cosB = adjacent/hypotenuse. The side next to B is 3, so cosB = 3/4.24 as well
Therefore, cosA = cosB
cosA/cosB = cosA/cosA = 1
10+8x > 2 Solve each inequality
Answer:
x>-1
Step-by-step explanation:
8x>2-10
8x>-8
x>-1
Answer:
x>-1
interval notation: (-1,infinty)
Simplify the product.
(16+13)(12-2)
Answer:
290
Step-by-step explanation:
(16+13)(12-2)= 29 * 10 = 290
Answer:
290
Step-by-step explanation:
(16+13)(12-2)
29*10
290
A line passes through the point (-2, -6) and has a slope of
2
No
Write an equation in slope-intercept form for this line.
How to find the area of a missing square
Check the picture below.
btw, when Pythagoras said the square of this equals that and so on, he really meant the square or square area.
2,6,18,...
Find the 8th term.
Find the 8th term.
Answer:
4378
Step-by-step explanation:
Its clearly given that each term is multiplied by 3
I.e- 2×3 = 6
6×3= 18
and so on....
so here the G.P series is a=2 and r=3
To find the 8th term ar^8-1
ar^7 = 2×3^7
= 2×2187
= 4378
How do I figure this out
Answer:
D
Step-by-step explanation:
yeah-ya....................... right?
Answer:
D
Step-by-step explanation:
hope it help correct me if wrong
An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for
every 36 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 108 students?
PLSS