Answer:
a. the approximate revenue from licenses in 1990 was $10,101.10 million.
b. The function is x = 10,101.10 + 499.79y
c. The revenue from licenses in 1999 is $14,599.21 million.
Step-by-step explanation:
The amount of revenue brought in by states from motor vehicle licenses increased at a relatively constant rate of 499.79 million dollars per year from 1990 to 2000. In 2000, the states brought in 15,099 million dollars in revenue from motor vehicle licenses.
a: what was the approximate revenue from licenses in 1990?
b: write an equation that gives the revenue as a function of the number of years since 1990.
c: find the revenue from licenses in 1999.
a: what was the approximate revenue from licenses in 1990?
This can be calculated using the following function:
x = a + by ............................... (1)
Where;
x = Amount brought in 2000 = $15,099 million
a = Amount brought in 1990 = ?
b = Amount of relative constant rate of increase = $499.79 million
y = Number of years between 1990 and 2000 = 10
Substituting the values into equation (1) and solve for a, we have:
15,099 = a + (499.79 * 10)
a = 15,099 - 4,997.90
a = $10,101.10 million
Therefore, the approximate revenue from licenses in 1990 was $10,101.10 million.
b: write an equation that gives the revenue as a function of the number of years since 1990.
Using equation (1) in part a above, we substitute the values for a and b to obtain an equation that gives the revenue as a function of the number of years since 1990 as follows:
x = 10,101.10 + 499.79y ....................... (2)
c: find the revenue from licenses in 1999.
Since 1999 is 9th year from 1990, we therefore substitute y = 9 in equation (2) as follows:
x = 499.79 + 10,101.10y
x = 10,101.10 + 499.79(9)
x = 10,101.10 + 4,498.11
x = $14,599.21 million
Therefore, the revenue from licenses in 1999 is $14,599.21 million.
HELP WILL TRY TO GIVE BRAINLYIST!!!!!!
Answer:
C
Step-by-step explanation:
the square root of 1/4 is 0.5 which is positive, rational, and between 0 and 1
Answer:
The answer is sqaure root of 1/4
Step-by-step explanation:
Your Welcome Plz Mark Brainliest. I got this because the sqaure root of 1/4 is 0.5 which is bewteen 1 and 0 and it is positive and rational! If you are wondering how to get the sqaure root then here is the steps
1. Simple deduction 1/4 in 1 to the power of 2 and 2 to the power of 2
2.We can simplfy this to 1/2 to the power of 2
3. This will equal 1/2 which is also equal to 0.5
Plz condsierdate giving Brainliest Thanks :)
HELP!!! WILL GIVE BRAINLIEST
Find the slope of the line that passes through (1, 14) and (4,9)
Which two numbers in the points represent y values? Select both in the list.
ALSO PLEASE FIND AN ONLINE CALCULATOR THAT CAN SOLVE THIS!!! 60 points!!!!!!!!!
Answer:
The answer is 14 and 9
Step-by-step explanation:
Answer:
[tex]answer14[/tex]
hope it will be helpful to you
Geometry:
Find the measure of angle B. 120, 22x+4, 15x+5
Answer:
70
Step-by-step explanation:
what is the rate of change?
The Williamson's went to dinner at the Olive Garden. If their dinner cost $42.00 and they
paid a total of $49.56, what percent of the dinner cost represents the tip?
Answer:
7.56
Step-by-step explanation:
i did was 49.56 - 42,00 to see how much tip they did.
Jenny and Julie each drank a cup of hot chocolate after playing in the snow.Jenny put 6 more marshmallows in her cup than Julie.Together Jenny and Julie had a total of 6 marshmallows.Write a system of equations to find how many marshmallows Jenny(x) and Julie (y) each have their hot chocolate.
Answer choices:
X-y=6 and x=y+6
X+y=12 and x=y-6
X+y=6 and x=y+6
X+y=12 and y=x+6
Answer:
A. X-y=6 and x=y+6 I'm pretty sure
Answer:
c
Step-by-step explanation:
As of July 1, 2014, the population of India was about 1,267,000,000. How can you write this number in scientific notation?
1. Move the decimal point to the right of the first digit. What is the first factor?
2. Count the number of digits after the decimal point. How many places did you move the decimal point?
3. Did you move the decimal point to the right or to the left? What does this tell you about the power of 10 in the second factor?
4. What is the second factor written as a power of 10?
5. Write the population of India in scientific notation.
Answer:
1 I think its 1.267000000
Step-by-step explanation:
Joe takes out a loan for $19,000. He will pay the loan back monthly. The interest rate is 7.6% per year and the length of the loan is 4.5 years. TEKS 8.12(A), 8.12(B) 1. Determine how many payments need to be made. Explain.
Answer:
54 monthly payments
Step-by-step explanation:
the total number of payments = 4.5 years x 12 payments per year = 54 monthly payments
each monthly payment = loan / PV annuity factor
loan = $19,000PV annuity factor, 54 periods, 0.6123%) = 45.6139monthly payment = $19,000 / 45.6139 = $416.54
at a particular time the length of the shadow of Qutub Minar whose height is 72 metres is 18 what will be the height of an electric pole the length of whose Shadow at the same time is 1000 CM
Answer:
40m
Steps:
1000cm=10m
72m:18=10:x
x=(10*72)/18 = 40
Hope this helps, have a great day
Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 000 seconds, even though the video had already played 190190190 frames. The video plays 252525 frames per second. How many frames had the video already played when the time was equal to -3\dfrac{2}{5}−3 5 2 minus, 3, start fraction, 2, divided by, 5, end fraction seconds?
Answer:
105 frames
Step-by-step explanation:
Given that:
At 0 seconds, the video had already played 190 frames and there are 25 frames being played per second.
When the time is equal to [tex]3 \dfrac{2}{5}[/tex], the number of frames that are already being played is:
[tex]= 3 \dfrac{2}{5} \times 25[/tex]
[tex]= \dfrac{17}{5} \times 25[/tex]
= 17 × 5
= 85 frames.
But recall that, the frames had already played 190 frames at 0 seconds, then the number of frames that had already been played when the time is equal to [tex]3 \dfrac{2}{5}[/tex] is;
=(190 - 85) frames
= 105 frames
Answer:
105
Step-by-step explanation:
khan academy <333
Are all terminating and repeating decimals rational numbers? Explain.
Answer:
All terminating and repeating decimals are not rational numbers. For example, pi is a non-terminating & irrational number.
Step-by-step explanation:
The given statement "Are all terminating and repeating decimals rational numbers? Expla" is true.
Yes, all terminating and repeating decimals are rational numbers. A
rational number is defined as any number that can be expressed as a ratio of two integers, with the denominator not equal to zero.
Terminating decimals are those decimals that end after a finite number of digits.
For example, 0.75 is a terminating decimal because it ends after two digits. To show that such decimals are rational,
We can rewrite the decimal as a fraction.
0.75 can be expressed as 75/100 or simplified to 3/4.
Since both the numerator and denominator are integers, 0.75 is a rational number.
Now
Repeating decimals are those decimals that have a repeating pattern of digits after the decimal point.
For example, 0.3333... is a repeating decimal because the digit 3 repeats infinitely.
To show that repeating decimals are rational, we can use a similar approach to terminating decimals.
Take 0.3333... as an example.
We can represent this decimal as an infinite series:
0.3333... = 3/10¹ + 3/10² + 3/10³+ ...
This can be simplified using the formula for the sum of an infinite geometric series:
0.3333... = 3/10¹ + 3/10² + 3/10³+ ...
= (3/10)/( 1 - 1/10) (by sum of infinite geometric serires)
= 3/9
Since 3/9 can be simplified to 1/3, we can conclude that 0.3333... is a rational number.
Thus, all terminating and repeating decimals are rational numbers because they can be expressed as a ratio of two integers.
To learn more about sequence and series visit:
brainly.com/question/12373434
#SPJ6
Help lord mercyyyy ♂️
what do i do with the negative? i completely forgot [tex]\frac{-yx^{3}z^{5} }{y^{2}z^{3} }[/tex]
Answer:
Negative means focused on what is bad or lacking. A negative ad tells you bad things about the competition. A negative person loves to complain. In math, a negative number is less than zero.
Step-by-step explanation:
At a school carnival, tickets can be purchased to participate in different activities. The table
shows the total cost for different numbers of tickets.
8 | 2.00
12 | 3.00
20 | 5.00
30 | 7.50
50 | 12.50
What is the constant of proportionality that relates y, the total cost in dollars, to x, thenumber of tickets purchased?
Answer:
0.25
Step-by-step explanation:
Here, we want to find the constant of proportionality that relates total cost in dollars to number of tickets purchased
Mathematically, that will be ;
7.50/30 = 1/4 = 0.25
Kindly note we can select any pair
The ratio of both at any point in time is constant
What is the value of the expression below when x = 4
2x² + x – 5
John's basketball coach decides that he will play only the first 3/4 of every game. If he starts 12 games, how much playing time does he get in terms of full games?
(please answer quick)
Jason has a rectangular garden with the length of 10 m and a width of 3 m he will double the area of the garden by adding the same number of meters to both the length and the width what will be the length in meters of the garden after Jason in large is it
Answer:
2 m
Step-by-step explanation:
The length and width of a rectangular garden is 10 m and 3 m respectively.
He will double the area of the garden by adding the same number of meters to both the length and the width. Area = 2(10 × 3) = 60 m².
Let x is amount of increase in the length and width such that area will be :
(10+x)(3+x) =60
30+10x+3x+x² = 60
x²+13x-30=0
x²+15x-2x-30=0
x(x+15)-2(x+15)=0
x=2 and x = -15
Neglecting negative value, he aded 2 m toboth length and width of the garden.
The cooper family owns a luxery sedan and a compact car the fuel tank capacity for the luxury seden is 22.45 gallon and of the compact car is 8.7 gallons find the diffrence in the fuel tank of the teo car
Given :
The cooper family owns a luxery sedan and a compact car the fuel tank capacity for the luxury seden is 22.45 gallon and of the compact car is 8.7 gallons.
To Find :
The difference in the fuel tank of the two car.
Solution :
Capacity of sedan, S = 22.45 gallons.
Capacity of compact car, C = 8.70 gallons.
Difference in the capacity :
D = S - C
D = 22.45 - 8.70 gallons
D = 13.75 gallons
Therefore, difference in the fuel tank of the two car is 13.75 gallons.
Hence, this is the required solution.
HELP NOW PLEASE!!!.
Answer:
20x^11
Step-by-step explanation:
Why? because you mutiply the 4 nd 5 to get 20, then you multuply the x's, whihc if they have exponents, tou just add the xponents, so 6+5=11.
Answer:
20[tex]x^{11}[/tex]
Step-by-step explanation:
When you multiply exponents, you add the exponent numbers together.
4x * 5x = 20x
5 + 6 = 11
-9 + n = 13
Can someone solve this for me please
Answer:
its 22 because take 9 away from 22 and you get 13.
WILL MARK BRAINLIEST IF YOU GIVE THIS ANSWER TO ME
Answer:
[tex]10 {}^{5} = 1000000[/tex]
So,
4.6*1000000
Therefore, 46000000
Someone that knows how to do math correctly please I really need help
Answer:
1208.9
Step-by-step explanation:
To figure out the answer we have to separate it two parts
So the surface area of the piñata is
=The surface area of first cone + the area of the second second cone
=π×r×(r+s)+π×r×(r+s)
=3.14×7×(7+24)+3.14×7×(7+17)
=3.14×7×31+3.14×7×24
=681.38+527.52
=1208.9
Note:I am not sure so if you have any doubts. You can go with others
A two-day moving truck rental from Best Rentals costs $60 and $0.35 per mile driven. A two-day moving truck rental from Easy Movers costs $80 and $0.25 per mile driven. Let m represent the number of miles driven. Which equation can be used to find the number of miles for which the rentals would cost the same amount? 60 + 0.35 m = 80 + 0.25 m 60 m + 0.35 = 80 + 0.25 m 60 + 0.35 m = 80 m + 0.25 m 60 m + 0.35 = 80 m + 0.25
Answer:
A is the correct answer.
Step-by-step explanation:
On the bus ride home there
were a total of 52 students
riding. Of those students, 21
were girls. What percent of
the riders were girls?
Answer: I think it is 40%
Answer:
40.384615384615%
Step-by-step explanation:
just round so i think 40. not sure hope this helps. sorry if wrong..
Andrea does not understand why if x is a solution to the equation 3-x=4 then x is also a solution to the equation 12=9-3x. Write a convincing explanation as to why this is true
Answer:
Both equations are same
Step-by-step explanation:
The reason why this is true is not far fetched
looking at the first equation, we have;
3-x = 4
we can also factorize the second equation to look this way
By this, we shall be having
3(4) = 3(3-x)
By the time we take out the 3 from both sides, we will have the initial equation
So what we are saying is that both equations are the same
The number of basketball games that must be scheduled in a league with n teams is given by G(n) = (n2 - n)/2 where each team plays every other team exactly once. A league schedules 21 games. How many teams are in the league?
Answer:
There are 7 teams in the league
Step-by-step explanation:
Given that the number of games is given by:
[tex]G(n) = \frac{(n^2-n)}{2}[/tex]
The equation will be used to determine the number of games. As we already know, that 21 games are scheduled which means G(n) is 21 so we have to find n when G(n) is 21
Putting this mathematically
[tex]21 = \frac{n^2-n}{2}[/tex]
Multiplying equation by 2
[tex]2*21 = 2*\frac{n^2-n}{2}\\42 = n^2-n\\n^2-n-42 = 0\\n^2-7n+6n-42 = 0\\n(n-7)+6(n-7) = 0\\(n-7)(n+6)=0\\n-7 = 0 => n=7\\n+6=0 => n=-6[/tex]
As the number of teams cannot be negative, the number of teams in league are 7.
Hence,
There are 7 teams in the league
What equation in Slope-Intercept Form represents the line that passes through the points ( -3,3) and ( 1,2)?
Answer:
[tex]y=-\frac{1}{4}x+\frac{9}4}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x₁ , y₁) = (3, -3) & (x₂ , y₂) = (1 , 2)
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{2-3}{1-[-3]}\\\\= \frac{-1}{1+3}\\\\=\frac{-1}{4}[/tex]
m = (-1/4)
y - y₁ = m(x - x₁)
[tex]y - 3 = \frac{-1}{4}(x - [-3])\\\\y - 3 = \frac{-1}{4} (x + 3)\\\\y - 3 = \frac{-1}{4}x-\frac{3}{4}\\\\ y = \frac{-1}{4}x-\frac{3}{4} + 3\\\\ y =\frac{-1}{4}x+\frac{-3+12}{4}\\\\ y =\frac{-1}{4}x+\frac{9}{4}[/tex]
the quadrilateral obtained by joining the mid points of adjacent sides of a square is?
Answer:
Square
Step-by-step explanation:
the quadrilateral obtained by joining the mid points of adjacent sides of a square is a square
Type the correct answer in the box. Spell all words correctly. What is the unfolding of a 3D object onto a planar surface called? The unfolding of a 3D object onto a planar surface is called 2D shape. The object is unfolded or unrolled to obtain the
Answer:
it is called A ROLLING !
Step-by-step explanation:
Answer:
rolling
Step-by-step explanation:
22.) Marty put $250 into an account and
earned $25 in interest on the account after 5
years. What was the interest rate?
Answer:
5%
Step-by-step explanation:
5×5 =25 and it was for 5 years