It would take approximately 2.3 years (to the nearest tenth of a year) for the value of the car to depreciate to $5,000.
Here,
To find how long it takes for the value of the car to depreciate to $5,000, we can set up an exponential decay model for the value of the car over time.
Let V(t) be the value of the car at time t years.
We know that the car depreciates by one half every 5 years, which means the depreciation rate (r) per year is 50% or 0.5.
Therefore, the exponential decay model is:
[tex]V(t) = V(0) * (1 - r)^t[/tex]
where V(0) is the initial value of the car ($25,000) and r is the depreciation rate per year (0.5).
We want to find the time t when the value of the car is $5,000.
So, we set up the equation:
[tex]$$5,000 = $25,000 * (1 - 0.5)^t[/tex]
Now, let's solve for t:
[tex](1 - 0.5)^t = 5,000 / 25,000\\(0.5)^t = 0.2[/tex]
Taking the logarithm (base 0.5) of both sides:
t * log(0.5) = log(0.2)
t = log(0.2) / log(0.5)
t ≈ 2.3219
So, it would take approximately 2.3 years (to the nearest tenth of a year) for the value of the car to depreciate to $5,000.
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BRAINLIEST!!!!!!!! On your own… (12 points) a. Create your own “real-world” algebraic equation using two variables. Also write the word problem that creates your equation. b. Express the equation in standard form and slope-intercept form. c. Graph the equation. d. Write a paragraph of at least 3 sentences explaining your word problem and how you developed the equation to represent your real world situation.
Hello, I Am BrotherEye
Answer:
1. Choose one of these equations: (20 points) 10x + 12y = 10,500 4x + 6y = 2,340 10x + 6y = 150 a. Write your own word problem that could match one of the equations above. Abby makes $150 a day at her new job as an assistant for a fashion designer in New York. She earns $10 an hour plus $6 for every dress she trailers. How many hours does she have to work and how many dresses does she have to tailor to earn $150? b. Rewrite the equation in slope-intercept form. y= -(5)/(3)x + 25 c. Graph the Equation
Step-by-step explanation:
Answer:
a.) Someone needs to make 4 cookies per person in their class, and 6 muffins per person in their class. In total, they made 210 baked goods. How many people are in their class?
b.) standard form: 4y+6y=210 / slope-intercept form: y= 21
c.) the graph is the image added below.
d.) I made up a simple word problem off the top of my head. I converted it into a real world situation because I got inspiration from the topic of a bake sale. I wanted to make it simple, so I couldn't have the person bake stuff for a bake sale, since 210 is too little of a number for the whole school, so I shortened it to just the person’s class
Mrs. Franklin took her five children to an amusement park. The cost of tickets for the 2 younger children was $12.50 each. The cost of her ticket was $15.00. She spent a total of $80.50. What was the cost of each ticket for her three older children?
Answer:
$13.50
Step-by-step explanation:
The total amount spent $80.50 would be equal to the sum of the price of the ticket bought by the 6 individuals
total cost of the tickets for the 2 younger children = $12.50 x 2 = $25
let the price of each ticket for the three older children be represented by x. the total price of the 3 tickets would be 3x
$80.50 = $25 + 3x + 15
Collect like terms and solve for x
$40.50 = 3x
x = $13.50
Geometry test, you only have to put the correct letter don’t worry about typing out the whole answer
_______inches = 9.75 feet
Answer:117 feet
Step-by-step explanation:
There are 12 inches in 1 foot
Multiply 12 x 9 which equals 108
Since you have a decimal, you take 75% of 12 which is 9, and add that to your inches
108 + 9 = 117
Please help.
Algebra.
Answer:
1) a 2) b
Step-by-step explanation:
Mika buts a fishing rod and a hat. The total bill is $140.00. The rod is 9 times the cost of the hat. How much does each item cost?
Answer:1260
Step-by-step explanation:
140 x 9
(1,4) and (2,6) in slope-intercept form
Answer:
Slope is 2
Step-by-step explanation:
Answer:
The answer is y=2x+0 or y=2x
Step-by-step explanation:
Kieran mother gets a restaurant bill for $25 he has a coupon for 15% of the acid Discount Supply she had 20% as tip what is the total after the discount and tipis how show your reasoning
Answer:
$8.75
Step-by-step explanation:
Given data
Bill= $25
Coupon Discount=15%
Tip= 20%
Let us first find 15% of the $25
=15/100*25
=0.15*25
=$3.75
Let us first find 20% of the $25
=20/100*25
=0.20*25
=$5
Hence the coupon and the tip combined is
=3.75+5
=$8.75
What is the area, in square meters, of the trapezoid.
10.4 m
5.8 m
6.4 m
Answer:
48.72.
Step-by-step explanation:
good luck
Find the volume of the figure below.
Answer:
Step-by-step explanation: total volume = volume of cuboid +volume of traingular prism
(4×12×14)+√3/4×4²×12=755.138438763
D.is your answer
What is the value of c in the equation below? 2 Superscript negative 4 Baseline times 2 squared = a Superscript b Baseline = c Negative 4 Negative 2 Start Fraction 1 Over 64 End Fraction One-fourth
Question:
What is the value of c in the equation below?
[tex]2^{-4}*2^2 = a^b = c[/tex]
A. -4 B. -2 C. 1/64 D. 1/4
Answer:
[tex]c = \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]2^{-4}*2^2 = a^b = c[/tex]
Required
Find c
The equation can be rewritten as:
[tex]c = 2^{-4}*2^2[/tex]
[tex]c = a^b[/tex]
Solving: [tex]c = 2^{-4}*2^2[/tex]
Apply law of indices
[tex]c = 2^{-4+2}[/tex]
[tex]c = 2^{-2}[/tex]
Apply law of indices
[tex]c = \frac{1}{2^2}[/tex]
[tex]c = \frac{1}{4}[/tex]
Step-by-step explanation:
Answer:
1/4
Sergio has ppp paintings in his art collection. He and other local painting collectors agreed to donate a total of 484848 paintings to the local museum. Each of the 121212 collectors will donate the same number of paintings.
Answer:
Total paintings Sergio have in his art collection after his donation = p - 4
Step-by-step explanation:
P.S - The exact question is -
Given -Sergio has p paintings in his art collection. He and other local painting collectors agreed to donate a total of 48 paintings to the local museum. Each of the 12 collectors will donate the same number of paintings.
To find - How many paintings will Sergio have in his art collection after his donation ?
Proof -
Given that,
Total collectors = 12
Total painting that has to denote = 48
⇒12 collectors donate paintings = 48
⇒1 collector donate painting = [tex]\frac{48}{12}[/tex] = 4 paintings
∴ we get
Each collector donate paintings = 4
⇒Sergio donate total paintings = 4
Now,
Total pictures Sergio have = p
After donating,
Total left paintings = p - 4
∴ we get
Total paintings Sergio have in his art collection after his donation = p - 4
56+(−56)=
−240+370=
−5.7+(−4.2)=
Answer:
Step-by-step explanation:
1st one is 0
2nd is 130
3rd is 9.9
I Need Your Help Y'all,
You need 3 sticks of butter for every 24 cookies you bake.
Complete the table using equivalent ratios.
3. 24
16
5. 32
Step-by-step explanation:
3 sticks of butter make 24 cookies
which means we multiplied 3 by 8
then we devide 16 cookies by 8 which is 2 (as you did)
therefore 5 multiplied by 8 equals 40
Find the distance between (-2,5) and (4,3).
Answer:
thanks but i need the picture as well
Step-by-step explanation:
you can add me and i will answer the next problem
Which statement best describes the expression 3 + 2 + y? (1 point) a The quotient of y and the sum of 3 and 2 b The quotient of the sum of 3 and 2 and y с The sum of 3 and the quotient of 2 and y d The sum of 3 and the quotient of y and 2
Answer:
с. The sum of 3 and the quotient of 2 and y
Step-by-step explanation:
Given that: 3 + 2 ÷ y
It would be observed that operation addition comes before division, but with respect to BODMAS; division (D) comes before addition (A).
Thus,
3 + 2 ÷ y = 3 + [tex]\frac{2}{y}[/tex]
and [tex]\frac{2}{y}[/tex] is the quotient of 2 and y
Therefore, the appropriate statement that would describe the expression is; the sum of 3 and the quotient of 2 and y. This is option C in the given question.
Simplify
1+tan^2 x / tan^2 x
a) sin^2 x
b) csc^2 x
c) sec^2 x
d) cos^2 x
Answer:
cosec²x is the answer
Step-by-step explanation:
[tex]\frac{1+tan^2x}{tan^2x} \\\\\frac{sec^2x}{tan^2x} \\\\\frac{\frac{1}{cos^2x} }{\frac{sin^2x}{cos^2x} }\\\\\frac{1}{sin^2x}\\\\cosec^2x[/tex]
Someone please help me with this ASAP! I will mark brainliest if right! Explain
Answer:
5.4
hope it helps....
please mark Brainliest
What is the circumference of a circle with a radius of 7 centimeters? Use 3.14 for S.
Answer:43.98cm
Step-by-step explanation:
Pls help me if your great at math I’ll mark brainliest <3 (if correct)
Answer:
I believe it's B
Hope this helped<3
What type of property is this?
8x(d+5)
Distributive
Commutative
Associative
Answer:
distributive
Step-by-step explanation:
this is distributive because the 8 is being multiplied by both d and 5 ; it is being distributed amongst them both
Mr. James accepted a new job with a starting annual salary of $32,500. He will receive an annual raise of $1,500 beginning his second year. How much money will Mr. James earn from
his salary for the first four years?
Answer:
He will earn $139,000 after 4 years
Step-by-step explanation:
32,500+34,000+35,500+37000= $139,000
The simplified fractional representation of
0.353535... is ____/_____?
Answer:
Step-by-step explanation:
0.3535... = 35/99
answer both and i will give brianlist
Answer:
1. Perpendicular
2. y=5x+7
Step-by-step explanation:
brainliest please?
can someone help me on this!!!
Answer:
dates
Step-by-step explanation:
bestie it is dates i am sure of it.
Find the missing side length to the nearest tenth of a millimeter. Enter your answer in the box.
About ___ mm
Answer:
missing side = 4.7 mm
Step-by-step explanation:
using the Pythagorean theorem:
7² - 5.2² = x²
49 -27.04 = x²
x² = 21.96
x = 4.69
Find the area of a parellelogram with base 32 cm and height 16.5cm
Answer:
A = 528
Step-by-step explanation:
Formula of the area of a parallelogram: A = b*h
A = 32 * 16.5
= 528
Answer: Area of Parellelogram = bxh
Base= 32cm
Height= 16.5cm
So,
Area of Parellelogram = 32cm x 16.5cm
= 528cm square
Step-by-step explanation:
Tim's family traveled 3 10 of the distance to his aunt's house on Saturday. They traveled 3 7 of the remaining distance on Sunday. What fraction of the total distance to his aunt's house was traveled on Sunday?
Answer: 3/10
Step-by-step explanation:
From the question, we are informed that Tim's family traveled 3/10 of the distance to his aunt's house on Saturday. Then, the remaining distance will be:
= 1 - 3/10
= 7/10
Since they traveled 3/7 of the remaining distance on Sunday, the fraction of the total distance to his aunt's house that was travelled on Sunday will be:
= 3/7 × 7/10
= 3/10
How far will you go if you travel 3400 km/hr for 5 hours?
Answer:
You will go 3,400 kilometers
Step-by-step explanation:
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G