A car dealer buys a new car for $24,500. The dealer then marks the car's price up 27%
What is the selling price of the car?
Which logarithmic graph can be used to approximate the value of y in the equation 3y = 7?
Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?
We have to find value of the house in 8 years so we will plug t=8 years in given equation.
[tex] y=150000(1.004)^{\left(12t\right)} [/tex]
[tex] y=150000(1.004)^{\left(12*8\right)} [/tex]
[tex] y=150000(1.004)^{96} [/tex]
[tex] y=150000(1.46702133432) [/tex]
[tex] y=220053.200148 [/tex]
Hence house will worth approx $220053.20 in 8 years.
Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?
Solution:
Equation of the appreciation of the value of house is given by:-
[tex]y=150000(1.004)^{12t}[/tex]
We need to find the worth of the house after 8 years
So, that means time, t=8
Let us plug t=8 in the equation [tex]y=150000(1.004)^{12t}[/tex]
So, we get,
[tex]y=150000(1.004)^{12*(8)}[/tex]
[tex]y=150000(1.004)^{96}[/tex]
[tex]y=150000(1.467021)[/tex]
y=150000*1.467021
y=220053.20
In 8 years the value appreciates to $220053.20, that s, worth of house after 8 years=$22005320
six friends are going to buy a pizza. Their chices are to biu 2 medium 10-inch diameter pizzas for 7:00 each, or 1 large 14 inch diameter pizza for 15.00. Both prices include tax and tip. The friends agree that their best choice is the one that gives them the most pizza for their money. which is the best choice?
What is 84%, percent of 300?
What value of y makes the equation true?
Javier is evaluating the expression (-8)[10 + (-5) + (-8)]
Multiplying the numbers 10, -5, and -8 by a certain number and then adding the three products together will give Javier the fully simplified evaluated expression. What is that number?
The number that will give Javier the fully simplified evaluated expression is 24.
Explanation:To evaluate the expression (-8)[10 + (-5) + (-8)], we need to multiply the numbers inside the parentheses by a certain number and then add the three products together. Let's solve it step by step:
Multiplying -8 by 10: (-8) * 10 = -80Multiplying -8 by -5: (-8) * (-5) = 40Multiplying -8 by -8: (-8) * (-8) = 64Add the three products: -80 + 40 + 64 = 24Therefore, the number that will give Javier the fully simplified evaluated expression is 24.
the original value of an investment is $1,800. if the value has increased by 7% each year, write an exponential to model the situation. then, find the value of the investment after 15 years
The value of the investment after 15 years is approximately [tex]$4,410.67.[/tex]
To model the situation where an investment of [tex]$1,800[/tex] increases by 7% each year, we can use the exponential growth formula:
[tex]\[ A = P(1 + r)^t \][/tex]
where:
-[tex]\( A \)[/tex]is the amount of money accumulated after n years, including interest.
- [tex]\( P \)[/tex]is the principal amount (the initial amount of money).
- [tex]\( r \)[/tex]is the annual interest rate (in decimal form).
-[tex]\( t \)[/tex] is the time the money is invested for, in years.
Given:
[tex]- \( P = \$1,800 \)[/tex]
[tex]- \( r = 7\% = 0.07 \)[/tex](as a decimal)
-[tex]\( t = 15 \)[/tex] years
We substitute these values into the formula to get:
[tex]\[ A = 1800(1 + 0.07)^{15} \][/tex]
Now, we calculate the value of[tex]\( A \):[/tex]
[tex]\[ A = 1800(1.07)^{15} \][/tex]
Using a calculator, we find:
[tex]\[ A \approx 1800 \times (1.07)^{15} \approx 1800 \times 2.45037 \][/tex]
[tex]\[ A \approx \$4,410.67 \][/tex]
Therefore, the value of the investment after 15 years is approximately [tex]$4,410.67.[/tex]
Which expression is equivalent to [log9+1/2logx+log(x^3+4)]-log6
Answer:
A.) log 3 sqrt x(x^3+4)/2
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Find the area of the parallelogram with vertices at (−2,3),(−2,3), (6,14),(6,14), (−14,1),(−14,1), and (−6,12).(−6,12).
PLZ HELP ASAP TANGENTS OF CIRCLES
simplify 5p2 5p3?
whats the answer
The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. what is the probability that washing dishes tonight will take me between 11 and 13 minutes?
Write the quotient as a mixed number. 33 ÷ 5 = 6 R2
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Information about the age of participants in a robotics competition is below: A box plot titled "Age of Participants" and labeled "Age" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 31 on the number line. A line in the box is at 16. The whiskers end at 11 and 33. The middle 50% of the data is between what two numbers?
The middle 50% of the age of participants in the robotics competition falls between 13 and 31.
Explanation:The box plot represents the age distribution of participants in a robotics competition. The box extends from the lower quartile (Q1) to the upper quartile (Q3), which in this case are 13 and 31, respectively. The line within the box represents the median, which is 16. The whiskers represent the range of the data, ending at 11 and 33.
To find the middle 50% of the data, we need to determine the values that lie between Q1 and Q3. Therefore, the middle 50% of the age of participants in the robotics competition falls between 13 and 31.
Learn more about Age distribution of participants in a robotics competition here:https://brainly.com/question/23356364
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For a popular Broadway musical, theater box office all $356 apiece 275, tickets and $60 apiece, and 369 tickets and $45 apiece. How much money did the box office ticket Take in?
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what is a factor of 4x^2+36x+72
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require help with this question
A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer to the nearest hundredth.
Answer:
31.42
Step-by-step explanation:
Miles had a piece of paper 1/4 of a large circle cut in three equal parts from the center point of the circle. What angle is the measure of each part?
The measure of the each part of the large circle is 90 degrees.
What is the measue of each part?
A circle is a bounded figure which points from its center to its circumference is equidistant. The sum of angles in a circle is 360 degrees.
Measure of the angle of each part = 1/4 x 360 = 90 degrees
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To choose a mascot for a new middle school, 8th-grade students were polled, and their top choice was selected as the mascot. Was the sample a biased sample?
Answer:
Yes, the sample was biased.
Step-by-step explanation:
We are told that to choose a mascot for a new middle school, 8th-grade students were polled, and their top choice was selected as the mascot.
We know that an unbiased sample is an accurate representation of the entire population and it can help us draw conclusions about the population.
For an unbiased sample each member of a population should equally likely to be chosen and the sample should be representative of the population as a whole.
For an unbiased sampling for mascot students should be chosen randomly from each grade of the middle school.
Since all the students were polled from the same grade, so their choice can not represent the choices of all the students of the school, therefore, the sample was a biased sample.
List all the pairs of integers with a product of 30
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Find the relative rate of change of the function f(x)=150-0.08x^2