9514 1404 393
Answer:
v(t) = 30000×0.82^t . . . value in dollars after t years
v(10) ≈ 4123 . . . . dollars
Step-by-step explanation:
The general form of the decay model is ...
f(t) = f(0)×(1 -decay rate)^time
where the decay rate is a fraction between 0 and 1, and the time is expressed in the same time units as the decay rate. The multiplier f(0) is the initial value that is decaying.
In this problem, the initial value is $30,000 and the decay rate is 18% per year. So, we can write a function v(t), where v is the car's value in dollars, and t is the number of years after it starts depreciating.
v(t) = 30,000×(1 -0.18)^t
v(t) = 30,000×0.82^t
__
The car's value in 10 years is ...
v(t) = 30,000×0.82^10 ≈ 4123.44
The value of the car after 10 years is about $4,123.
Solve each equation by completing the square. n^2 - 6n + 6 = -2
[tex]( {n}^{2} - 6n) + 6 = - 2[/tex]
Find the constant that makes the expression able to be squared. You have to subtract the separated constant by new constant as well.[tex]( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1[/tex]
Square Root both sides to get rid the squared expression. Make sure to write plus or minus.[tex] \sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1[/tex]
[tex]n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2[/tex]
Answer[tex] \large \boxed {n = 4,2}[/tex]
a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Answer:
Weight of large box = 18.75 kg
Weight of small box = 6.5 kg
Step-by-step explanation:
a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Let
Weight of large box = x
Weight of small box = y
6x + 5y = 145 (1)
2x + 3y = 57 (2)
Multiply (2) by 3
6x + 9y = 171 (3)
6x + 5y = 145 (1)
Subtract (1) from (3)
9y - 5y = 171 - 145
4y = 26
y = 6.5 kg
Substitute y = 6.5 kg into (2)
2x + 3y = 57
2x + 3(6.5) = 57
2x + 19.5 = 57
2x = 57 - 19.5
2x = 37.5
x = 37.5/2
x = 18.75 kg
Weight of large box = 18.75 kg
Weight of small box = 6.5 kg
A $50 shirt is on sale for
$42. What percent does the
customer save?
F(-2)=15, F(1)=9 can someone help me please
Answer:
y= -2x +11
Step-by-step explanation:
the 2 points: (-2,15) and (1,9)
find the slope: 6/ -3 = -2
find y-intercept: 9 = -2 + b b=11
which equation matches the graph?
Use your choice of equal values, substitution, or elimination to solve the
following System of Equations, and show your work.
i are running a concession stand at a basketball game. You are selling hot
dogs and sodas. Each hot dog costs $3.00 and each soda costs $2.00. At the
end of the night you made a total of $213.00. You sold a total of 87 hot dogs
and sodas combined. You must report the number of hot dogs sold and the
number of sodas sold. How many hot dogs were sold and how many sodas
were sold?
Answer:
For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.
3x+2y=213
x + y =87
We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.
3x+2y=213
3(x+y=87) --> 3x+3y=261
Now we can eliminate x.
3x+2y=213
- 3x+3y=261
----------------------
-y=-48
Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.
3y+2x-4+5x+7
Simplify
Answer:
3y+7x+3
Step-by-step explanation:
3y+2x+5x-4+
=3y+7x+3
Apply the distributive property to factor out the greatest common factor of all three terms.
9a−18b+21c=
Answer:
3(3a-6b+7c)
Step-by-step explanation:
What is the value − 3 1/4 ∙ 2 1/3
Answer:
the value of this is-217÷4 = -54.25
A bouncy castle can be hired for party's. The cost is given by Cost=£4.70 times number of children + £86. What is the cost of the bouncy castle for 13 children. At a different party, the cost of hiring the bouncy castle was £165.90.How many children went to the party.
Answer:
A. £147.10
B. 17 children
Step-by-step explanation:
Let
Number of children = x
Cost of hiring a bouncy castle = £4.70 * x + £86
What is the cost of the bouncy castle for 13 children
Cost of hiring a bouncy castle = £4.70 * 13 + £86
= £61.1 + £86
= £147.10
How many children went to the party when cost of hiring bouncy castle = £165.90
Cost of hiring a bouncy castle = £4.70 * x + £86
£165.90 = £4.70 * x + £86
165.90 = 4.70x + 86
165.90 - 86 = 4.70x
79.9 = 4.70x
x = 79.9/4.70
= 17
x = 17 children
Michael wants to earn more than $42 trimming trees. He charges $8 per hour and pays $6 in equipment fees. What are the possible numbers of hours Michael could trim trees? Use t for the number of hours. Write your answer as an inequality solved for t.
pls i need help ASAP best answer gets brainlest
Answer:
3^12
Step-by-step explanation:
Simplify the expression, 3^10/3^-2.
Next, solve for the sum. which will be 3^12.
Full answer is 531441
Answer:
3^12
Step-by-step explanation:
Why?
1. (3^5)^2 = 3^10
2. 3^10 - (-2)
Answer: 3^12
PLEASEEEE HELPPP ITS DUE IN 15 MINUTES!! the exponential regression representing the population of Lazy Town as a function of time in years
Given:
[tex]R^2=0.92,a=8000,b=0.9[/tex].
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex]
To find:
The exponential regression representing the population of Lazy Town as a function of time in years.
Solution:
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex] ...(i)
We have, [tex]a=8000,b=0.9[/tex].
Substituting [tex]a=8000[/tex] and [tex]b=0.9[/tex] in (i), we get.
[tex]y_1\sim 8000(0.9)^{x_1}[/tex]
Therefore, the exponential regression representing the population of Lazy Town as a function of time in years, is [tex]y_1\sim 8000(0.9)^{x_1}[/tex].
i do not know the answer to this equation √56245
Answer: 237.160283353
Step-by-step explanation:
Answer:
the answer is 237.1602834
source: Calculator
Can anyone help me on this?
Rewrite -3- (-4) as an addition equation. Your answer answer
Answer:
-3 + 4 = 1
Step-by-step explanation:
Minus with minus makes a positive.
please help i have to turn this in in 10 mins
Answer:
3) yes by AA~...
Step-by-step explanation:
ALTERNATE INTERIOR ANGLES
Please help I need it fast thanks!
Answer:
B
Step-by-step explanation:
you answered 6 out of 11 questions on your test. what is your score?
Answer:
54
Step-by-step explanation:
.......................
Answer:
54
Step-by-step explanation:
Andre and Diego were each trying to solve 2x + 6 = 3x - 8. Describe the first step they each make to the equation
The result of Andre's first step was -x + 6 -8.
Answer: Andre subtracted 3x from both sides
I can't solve this lol pls help
Answer:
a = 6
b = 2
Step-by-step explanation:
Here, we want to take all values of p up and all values of q down
From the division, 9
goes up and the term above comes down
We have all the following indices rule to use;
(a^x)^y = a^xy
a^x * a^y = a^x + y
a^x / a^y = a^x-y
Let us evaluate all p terms;
p^12/p^4 = p^8
Let us evaluate all q terms
q^16/q^10 * 1/q^2
= q^6/q^2 = q^4
Let us evaluate all number terms
We have;
2^4/-3^2 * 9/4^2
= 16/9 * 9/16 = 1
All
number terms canceled out
Now, let us work with the exponents;
For the p terms;
p^8 = p^a+b
a + b = 8 •••••••••(i)
For the q terms;
q^4 = q^a-b
a-b = 4 ••••••••••(ii)
Add both equations
2a = 12
a = 12/2 = 6
For b;
a-b = 4
6-b = 4
b = 6-4
b = 2
Please help me due today easy question
Answer:
$24.00 dollars. The problem is confusing, so sorry if this is wrong.
Step-by-step explanation:
open a bank account make a deposit $150
Help please will give brainliesy
Answer:
You will select both x = 1 + 5sqrt(2) and x = 1 - 5sqrt(2)
Step-by-step explanation:
Firstly you have to take the square root of both sides to get rid of the exponent. (x - 1)^2 = 50 becomes x - 1 = +- sqrt(50)
Then you simplify the right. x - 1 = +- 5sqrt(2)
The answer is both the positive and negative versions.
can someone tell me what circumference means and give an example of it
Step-by-step explanation:
distance around a circle- like middle of an apple
Answer:
The circumference is defined as the distance around something round or rounded, especially the distance around the edge of a circle. An example of circumference is the distance around the outer boundary of a circle. The line bounding a circle, a rounded surface, or an area suggesting a circle.
Jennifer makes 13 apple pies using 338 apples. Mateo used 9 apple pies using 216 apples. If they each have 105 apples, will Mateo And Jennifer make the same amount of apple pies ?
Answer: Yes. They'll both make 4 apple pies.
Step-by-step explanation:
Jennifer makes 13 apple pies using 338 apples. The fraction of apple pies made based on the number of apples will be:
= 13 / 338
= 0.03485
Mateo used 9 apple pies using 216 apples. The fraction of apple pies made based on the number of apples will be:
= 9 / 216
= 0.0417
When they each have 105 apples, the number of apple pies that Mateo will make will be:
= 0.03485 × 105
= 3.65925
= 4 apple pie approximately
Jennifer will make:
= 0.0417 × 105
= 4.3785
= 4 apple pie approximately
Can somebody help me pls
Answer: the m in in the equation y = mx + b represents the slope of the graph of y = mx + b.
help with this word problem???? :)
Answer:
I'm pretty sure it's 144
Step-by-step explanation:
1. 160 divided by 5 is 32 so 1 quart = 32 pounds
2. 32 times 4.5 = 144
P.S Mark as brainliest rate 5 stars and hit that thanks button!
is the answer 40? I am kind of confused
Answer:
Yes
Step-by-step explanation:
29-18=11
c=11
18+2(11)=40
Answer:
30
Step-by-step explanation:
If A+B is 18, A and B should equal 9.
A+B+C=29, that should mean C=6.
A+B+2C=9+9+2(6)
9+9+2(6)=30
A nursery plants 6 rows containing 24 pine trees each. It plants 3 rows containing 32 pine trees each. How many pine trees does the nursery plant in all?
Answer:
264 pine trees
Step-by-step explanation:
Calculation for How many pine trees does the nursery plant in all?
Pine trees=(6 rows*32 pine trees)+(3 rows*24 pine trees)
Pine trees=192 pine trees+72 pine trees
Pine trees=264 pine trees
Therefore the numbers of pine trees that the nursery plant in all is 264 pine trees