Answer:
A(t)= 18000(0.988)^t
Step-by-step explanation:
Given data
Ryan bought a brand new car for $18,000
Its value depreciated at a rate of 1.2%
Let us use the compound expression
A= P(1-r)^t
substitute
A= 18000(1-0.012)^t
A(t)= 18000(0.988)^t
Hence the expression is A(t)= 18000(0.988)^t
A function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t
Exponential functionThe standard exponential equation is in the form y = ab^x
b is the rate which can be growth or decline
If the value of b < 1, it is a depreciationIf the value of b > 1, it is an appreciationIf Ryan bought a brand new car for $18,000 and its value depreciated at a rate of 1.2%, the exponential equation represented by this statement is;t
v(t) = 18000(1-0.0012)^t
v(t) = 18000(0.988)^t
Hence a function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t
Learn more on exponential function here: https://brainly.com/question/12940982
It took the football team 5 h to travel from Titletown, a total distance of 1320 km. Part of the trip was by bus and the remainder by plane. The bus averaged 40 km/h and the plane 600 km/h. How many hours were spent travelling by bus?
Answer:
It took 2 hours by plane
Step-by-step explanation:
let bus is represented by x and plane is represented by y
the total distance of bus and plane will be represented by equation:
40 x + 600 y = 1320 (1)
the total time taken by bus and plane will be represented by:
x + y = 5 (2)
solving equations (1) and (2) simultaneously:
Multiply by 40 on both sides in eq (2) and then subtract (1) and (2)
40 x + 600 y = 1320
40 x + 40 y = 200
_______________
560 y = 1120
y = 1120/ 56
y= 2
since plane is represented by y so, the time they spent travelling by plane is 2 hours.
What is 234475 x 45678 =?
A rectangle has length 6 cm and width 4 cm. Give the length and width of another rectangle with the same area but a different perimeter.
Answer:
length could be 8 cm and width would be 3 cm and that would have a perimiter of 24 cm also
Kyle found that
31/97 = 0.3196. Without doing any computation, explain how we know
that Kyle is wrong.
I need the answer really quickly!!!
Answer:
The answer actually rounds to 0.3196, but the computation is so long, we just count it as 0.3196. The real answer would be 0.31958762886.
Step-by-step explanation:
The radius of a circle can be approximated using the expression √(A/3). A circular kiddie swimming pool has an area about 28 square feet. An inflatable full-sized circular pool has an area of about 113 square feet. How much greater is the radius of the full-sized pool than the radius of the kiddie pool? round to the nearest whole number.
It says Hint: First find the radius of each pool by substituting for A in the expression. Divide by 3 before approximating square root.
Answer:
yeah I know you are literally perfect for you to be home
By using the expression to approximate the radius of a circle, we want to compare the radius of the two pools. We will find that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.
The expression for the radius of a circle is:
R = √(A/3)
Where A is the area of said circle.
The circular kiddie swimming pool has an area of 28ft^2, we just replace that in the above expression to get:
R = √(28 ft^2/3) = 3 ft
The full-sized pool has an area of 113 ft^2, then its radius is:
R' = √(113 ft^2/3) = 6 ft
To see how much greater is the radius of the full-sized pool than the radius of the kiddie pool, we just take the quotient:
R'/R = 6ft/3ft = 2
Meaning that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.
If you want to learn more, you can read:
https://brainly.com/question/20767796
help please. 10 points to who help me
9514 1404 393
Answer:
64/109 ≈ 0.5872
Step-by-step explanation:
41 + 23 = 64 of the events have outcome E.
An additional 35 + 10 = 45 do not.
The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.
P(E) = 64/109 ≈ 0.5872
WILL MARK YOU BRAINLIEST
Answer:
ABCD is a rhombus => AC is perpendicular with BD
=> AC = 2(2n + 5) = 30
<=> 2n + 5 = 15
=> n = 5
with n = 5 => AC/2 = 15
BD/2 = 4.5 - 3 = 17
BC² = (AC² + BD²)/4 = 514/4 = 128.5
=> BC = 11.34
Answer:
Step-by-step explanation:
The question is what does 2n + 5 represent? Is it 1/2 the line or all of AC. There seems to be a run on ambiguous questions. I'm going to assume that 2n + 5 is AC -- all of it. And 4n-3 is all of BD.
AC = 30
2n + 5 = 30 Subtract 5 from both sides.
2n = 30 - 5
2n = 25 Divide by 2
n = 25/2
n = 13.5
====================
BD = 4n - 3
BD = 4*13.5 - 3
BD = 54 - 3
BD = 51
In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.
How much sales tax does Yuki pay for her handbag purchase?
Answer:
$18.15
Step-by-step explanation:
Yuki is paying tax of 4.6% + 3.65% = 8.25%
Converting to decimal form, that is 8.25/100 = 0.0825
Multiply that by the original sale price. 0.0825 x $220 = $18.15 exactly for tax.
The question asks for the tax, NOT for the total she will pay. Please don't get them mixed up.
With word problems, alwasy double check that you are answering what is actually asked. :)
Can one of y’all please help me this is Urgent
Answer:
B
Step-by-step explanation:
It’s the only one with sides that correlate
12.7
4. Mariana compró 46 pies de listón azul, para hacer adornos navideños, ¿cuántos
centímetros de listón tiene? (1 pie=0.3048 m)
1
3
14
Answer:
3500cmnjdkslkrkdjdsllwldkkdkrkfjfrkrk
Use the fraction strips to compare 2/4 and 5/8
Answer:
Step-by-step explanation:
We are given 2 fractional numbers:
We have to use fraction strips to compare to the fractional numbers.
Let we are Comparing with the length of number of sections.
i.e.
Let we are Comparing with the length of number of sections.
i.e.
Now, let us have a look at 3rd part of question:
The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8
Let the answer be .
So, the equation becomes:
So, the answers are:
2
5
Answer:
1) two
2)five
3)less than
4)<
Step-by-step explanation:
i took the test on iready :)
Please help due tonight
Tom buys 3 burgers and 5 drinks for $34. Jane buys 2 burgers and 6 drinks for $36. How much is each burger and each drink?
High-definition televisions have an aspect ratio of 16: 9. The following answer choices are television screen sizes rounded to the nearest inch. Which could be a High-definition television?
Answer:
18.5 in approx
Step-by-step explanation:
Given data
aspect ratio of 16: 9
L= 16in
W= 9 in
We want to find the diagonal of the TV
applying Pythagoras theorem
d^2= l^2+w^2
d^2= 16^2+ 9^2
d^2=256+81
d^2= 337
d= √337
d= 18.35 in
Hence the tv is 18.5 in approx
The soccer club held a spaghetti dinner. They sold 39 child tickets for $3.75 each and 27 adult tickets for $5.95 each. The amount for 11 child tickets was refunded. Estimate the amount of income received by the soccer club.
Answer:
265.65
Step-by-step explanation:
(3.75*39)+(27*5.95)-(11*3.75) = 265.65
A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder
Answer:
H ≈ 10.994424 m ≈ 11 mStep-by-step explanation:
[tex]V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m[/tex]
Which are linear pairs? AngleBAC and AngleCAE AngleCAE and AngleBAF AngleCAE and AngleFAE AngleCAF and AngleBAE AngleFAD and AngleEAD
A and C
A- AngleBAC and AngleCAE
C-AngleCAE and AngleFAE
Step-by-step explanation:
Edg2021
Answer:
The answer is A. AngleBAC and AngleCAE and C. AngleCAE and AngleFAE
Step-by-step explanation:
Got it right on the assignment.
A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax?
Answer:
ima guess $262.50
Step-by-step explanation:
a population of 100,000 decreases by 6% each year. write a graph to explain that
Answer:
Step-by-step explanation:
Your graph equation is going to be y = 100,000 - .06x
Determine whether ABCD is a parallelogram if AB = 6, BC = 12, CD = 6, and DA = 12. Justify your answer
A/ Yes; Opposite sides are congruent to each other.
B/ Yes; Opposite sides are parallel to each other.
C/ Yes; Opposite angles are congruent to each other.
D/ No
Hey guys again please I suck at math
Answer:
the correct answer is number 2
Step-by-step explanation:
X3 - 4x - 16x-24
Answer:
the answer is B
Step-by-step explanation:
X3-4x2-16x+24
identify the percent of change as an increase or a decrease 3/8 to 7/8
Answer:
133.5
Step-by-step explanation:
Given that R = 6x + 3y
Find y when x = 2 and R = 14
Give your answer as a fraction in its simplest form.
Answer:
y = 2/3
Step-by-step explanation:
14 = 6(2) + 3y
14 = 12 + 3y
2 = 3y
y = 2/3
each unit cube measured 1 inch3. what is the maximum volume of the prims
Answer:
1 x 3 x 1 = 3
Step-by-step explanation:
The price of a watch was increased by 20% to £198
What was the price before the increase?
Read the following bar graph and answer the following related questions :
a) Who got the maximum marks?
b) Who got the minimum marks?
c) The ratio between the marks obtained by Saroj and Vimla is _______.
d) How many girls have got marks of more than 100?
Answer:
who got the maximum marks? it would have been apala she got the high mark
Pass a brotha some help :(
Answer and Step-by-step explanation:
Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.
10y - 50 + 6y + 12
Now, combine like terms.
16y - 38
#teamtrees #PAW (Plant and Water)
If angle 10 and angle 15 are congruent, which lines are parallel
Answer:
Line a is parallel with line b
Step-by-step explanation:
what is the actual length?
Answer:
Step-by-step explanation:
2ft
using the parent function f(x) = 2^x, write the new function, g(x), that transforms f(x) by shifting 6 units up
Answer:
g(x) = 2^x + 6Step-by-step explanation:
Parent function:
f(x) = 2^xTranslation 6 units up:
g(x) = f(x) + 6or
g(x) = 2^x + 6Find the values of x and y in the equation below.
Answer:
6
18
not negatives!!!!!
Step-by-step explanation: