last question needed for mastery please help thank you!

In 2010, a car was purchased for
$30,000. Each year since, the resale value has decreased by 24%.
Let t be the number of years since 2010. Let y be the value of the car, in dollars.
Write an exponential function showing the relationship between y and t.

Answers

Answer 1
A= P(1+r)^t, where P= initial value, r= interest rate in %, and t = number of years.
However, if there isa decrease in value, the formula becomes:

A= P(1-r)^t and in our case :

A = 30,000(1- 0.24)^t  OR A = 30,000(0.76)^t




Related Questions

There are 84 boys in a senior class of 146 students. find the ratio of boys to girls. (note: if you know the total number of student in the class and the number of boys, what do you need to do to find the number of girls?

Answers

84 to 62. You have to subtract 146-84 to get the number of girls from the class.

What are the zeros of the polynomial function y = x(x − 6)(x + 3)(x − 11)?

Answers

the roots are shown, x=0,6,-3, and 11

What are the discontinuities of the function f(x) = x^2+2x-8/12x+24?

Answers

Factor the numerator and denominator of the function to find holes, vertical asymptotes, and horizontal asymptotes.
Numerator: (x - 2)(x + 4)
Denominator: 12(x + 2)
This would mean there is infinite discontinuity at x = -2 (the vertical asymptote).

Which type of question fits a binomial model? A. fill in the blank B. matching C. multiple choice D. true/false

Answers

The answer would be C. Hope this helped!
Final answer:

The type of question that fits a binomial model is a true/false question, as this type of question strictly limits the outcome to two possibilities - correct or incorrect.

Explanation:

The type of question that fits into a binomial model would be a true/false question. A binomial distribution, in mathematics and statistics, is used to model a number of successes in a sequence of independent and identically distributed binary experiments, such as flipping a coin or indeed, answering a true/false question. These types of questions are considered binomial because there are two possible outcomes: right or wrong, true or false. On the other hand, options like 'fill in the blank', 'matching', or 'multiple choice' doesn't fit the binomial model because they do not strictly limit the outcome to two possibilities.

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A theorem is a statement that can be easily prove using a corollary

Answers

False. Hope that helps!

Answer:

false

Step-by-step explanation:

The graph shown is the solution set for which of the following inequalities? y ≥ x + 1 y ≥ |x| + 1 y ≥ |x - 1|

Answers

The correct answer is the last one. y ≥ |x - 1|

Answer:

y ≥ |x| + 1

Step-by-step explanation:

I did this on odyssey ware and got 100% so YES it is correct!

Rename 12,000 ten thousand

Answers

120,000 or twelve thousand 10,000
Final answer:

Renaming 12,000 as 'ten thousand' means expressing it as '1 ten thousand and 2 thousand'. This breaks the number down into units of ten thousand, with 10,000 being the base unit and the additional 2,000 making up the rest.

Explanation:

The phrase 'rename 12,000 ten thousand' refers to the process of expressing the number 12,000 in terms of ten thousand. To do this, we need to understand that the number 10,000 is a base unit in this context, acting as one 'ten thousand'. Therefore, the number 12,000 would be considered as 1 ten thousand and 2 thousand, since 12,000 is made up of one 10,000 and an additional 2,000 units.

To better understand, let's do a breakdown:

10,000 (one ten thousand) + 2,000 (two thousand) = 12,000

We know that:

10,000 is one ten thousand.20,000 is two ten thousands.30,000 is three ten thousands.And so on, up to 160,000, which would be sixteen ten thousands.

In this case, when we want to 'rename' 12,000 as ten thousand, it becomes 1 ten thousand and 2 thousand.

Find f(-1) (inverse) if y=4x+2/3x-1 and x is not equal with 1/3

Answers

Before we find [tex]f^{-1}[/tex], let's think for a minute about what [tex]f[/tex] does, and what it means to find the inverse of a function. A function [tex]f[/tex] essentially takes a value [tex]x[/tex] from the domain and maps it to another value [tex]y[/tex] in that function's range according to a set of rules. Here, those rules are defined by the formula

[tex]y= \frac{4x+2}{3x-1} , x \neq \frac{1}{3} [/tex]

All the inverse does is swap the domain and range of the function. Now, instead of trying to map [tex]x[/tex] to [tex]y[/tex], we're trying to find a set of rules that'll map [tex]y[/tex] back to [tex]x[/tex]. To find those rules, all we have to do is solve the above equation for [tex]x[/tex].

First, we'll multiply both sides of the equation by [tex]3x-1[/tex] to get it out of the denominator:

[tex](3x-1)y=( \frac{4x+2}{3x-1})(3x-1) [/tex]

Cancelling on the right side and distributing on the left, we get:

[tex]3xy-y=4x+2[/tex]

Next, we collect all of our x terms on one side, and all of our non-x terms on the other:

[tex](3xy-y)+y=(4x+2)+y\\(3xy)-4x=(4x+2+y)-4x\\3xy-4x=2+y[/tex]

Let's rearrange the right side and factor out an x on the left:

[tex]x(3y-4)=y+2[/tex]

And finally, we divide both sides by [tex]3y-4[/tex] to obtain our answer:

[tex][x(3y-4)]/(3y-4)=(y+2)/(3y-4)\\\\x= \frac{y+2}{3y-4} [/tex]

This equation gives us the "rules" for mapping any given y in the range back to an x in the domain. If we swap the domain and the range, we can define our function 

[tex]f^{-1}(x)= \frac{x+2}{3x-4}[/tex]

The school store sells packs of 12 pens for $2.40. Which is NOT a unit rate to describe this sale?
A. 20 cents per pen
B. 5 pens per dollar
C. 2.40 dollars per pack of pens
D. 120 pens per 24 dollars

Answers

the answer is D.

120 divided by 24 would not give you the price of ONE pen
 Which is NOT a unit rate to describe this sale?

answer is
D. 120 pens per 24 dollars

Where would an imaginary line need to be drawn to reflect across an axis of symmetry so that a regular pentagon can carry onto itself? A) any angle to any angle B) any angle to the farthest angle C) any angle to the next closest angle D) any angle to the center of the side opposite the angle

Answers

To illustrate, I’ve printed out a paper hexagon and creased it along the axes of symmetry listed in your question. When we say a shape can “carry onto itself,” we mean that reflecting it along a specific line will keep the shape’s position and orientation completely identical to how it started. If you can imagine creasing and folding the shape along that line, the shapes on either side of the fold would be exactly the same.

As you can see from my example, a line from an angle to the midpoint of one of the pentagon’s sides I the only fold that meets this requirement.

Answer:

Any angle to the center of the side opposite the angle

Step-by-step explanation:


Ohhhh I have a math Brainliest!

Answers

1. a  2. b  3. d  i don't know about number 4

Find the measure of an angle if its measure is 46 degrees less than three times its complement.

Answers

15.3 should be your answer. 

The Greenville Art Museum had 12 sculptures on display that were made by students. The museum received 3 more student sculptures. After two weeks they loaned 4 of the sculptures to another museum. How many student sculptures are at the Greenville Art Museum now?

Answers

11 I think because they started with 12 got three more then loaned 4 out
Final answer:

The Greenville Art Museum currently has 11 sculptures on display after receiving 3 more sculptures and then loaning out 4 sculptures.

Explanation:

The Greenville Art Museum initially had 12 sculptures on display. They added 3 more sculptures to their collection, which increased the total number of sculptures to 15. Afterwards, they loaned out 4 sculptures to another museum. To find out how many sculptures are still at the Greenville Art Museum, we subtract the number of sculptures loaned out from the total.

Starting with 15 sculptures, after loaning out 4, we do the following calculation:

15 - 4 = 11 sculptures

Therefore, the Greenville Art Museum now has 11 sculptures on display.

What is y=-4x-15 in standard form

Answers

y=-4x-15
4x + y = -15 ...this is standard form

hope it helps

Final answer:

To convert the equation y = -4x - 15 to standard form, you add 4x to both sides to get 4x + y = -15, which aligns with the standard form Ax + By = C.

Explanation:

To convert the equation y = -4x - 15 into standard form, we need to rearrange it such that the x- and y-terms are on one side of the equation and the constant is on the other side, typically with the x term first. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

The given equation is already close to this form, but we need to get the x-term to the other side of the equation. To do this, we simply add 4x to both sides, giving us:

4x + y = -15

This is the standard form of the given linear equation.

Find the equation of the line perpendicular to x−5y=15 that passes through the point (−2,5).

Answers

1. Solve the given equation for y.

x - 5y = 15

-5y = -x + 15

y = (-x + 15)/-5

y = (x/5) - 3

y = (1/5)(x) - 3

The slope is 1/5. See it?

The equation we are looking for has a slope which is the negative inverse of the slope in the equation we just solved for y.

The slope for the equation we want is -5 which is the negative inverse of 1/5. Undetstand?

We have the slope of the new equation and one point is given.

Plot BOTH into the point-slope formula and solve for y. To solve for a variable means to isolate the variable ALONE on one side of the equation.

y - y_1 = m(x - x_1)...This is the point-slope formula. Our given point is (5,-2)

y - 5 = -5(x - (-2))

y - 5 = -5(x + 2)

We now solve for y and that's it.

y - 5 = -5x - 10

y = -5x - 10 + 5

The equation we want is y = -5x - 5.

1. Solve the given equation for y.


x - 5y = 15


-5y = -x + 15


y = (-x + 15)/-5


y = (x/5) - 3


y = (1/5)(x) - 3


The slope is 1/5. See it?


The equation we are looking for has a slope which is the negative inverse of the slope in the equation we just solved for y.


The slope for the equation we want is -5 which is the negative inverse of 1/5. Undetstand?


We have the slope of the new equation and one point is given.


Plot BOTH into the point-slope formula and solve for y. To solve for a variable means to isolate the variable ALONE on one side of the equation.


y - y_1 = m(x - x_1)...This is the point-slope formula. Our given point is (5,-2)


y - 5 = -5(x - (-2))


y - 5 = -5(x + 2)


We now solve for y and that's it.


y - 5 = -5x - 10


y = -5x - 10 + 5


The equation we want is y = -5x - 5.


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A quadrilateral has three angles that measure 80°, 110°, and 75°. Which is the measure of the fourth angle

Answers

180(x - 1)

 A quadrilateral has 4 sides, so 180(3) = 540

80 + 110 + 75 = 265

540 - 265 = 275

Last measurement is 275

hope this helps

A combination of numbers variables and at least one operation is called

Answers

It is an algebraic expression

Final answer:

A combination of numbers, variables, and at least one operation is called an expression. It involves the use of variables and operators to represent mathematical relationships or operations. Expressions are fundamental in algebra for solving problems and describing mathematical properties.

Explanation:

A combination of numbers, variables, and at least one operation is called an expression. An expression is a mathematical statement that combines values, variables (which are symbols that represent unspecified numbers), and operators (special symbols that represent computations like addition, subtraction, multiplication, and division) to describe a sequence of operations that yield a single result. For example, the expression 5 - 3xy combines the numbers 5 and 3, the variable y, and the operations of subtraction and multiplication to form a single mathematical statement.

The prefix milli- means one thousandth, or 10–3. how many milliseconds (ms) are in 6.7 seconds? 6.7 × 10–3 ms 2.0 × 104 ms 6.7 × 102 ms 6.7 × 103 ms

Answers

You know that the prefix mili means one thousandth or 1/100.


Numerically speaking, one thousandth is equals to 10 to the power of negative 3.


Solving seconds to milliseconds:


6.7 seconds x 1000 milliseconds / 1 second


Cancelling out the unit seconds. Then multiplying 6.7 to 1000 milliseconds.


The answer is 6,700 milliseconds or 6.7 x 10^3 ms 

BRAINLIESTTTT!
1. Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below:

Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week.

Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.

Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming?

Mona's method is linear because the number of minutes increased by an equal factor every week.
Sasha's method is exponential because it increases by an equal number every week.
Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number.
Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.

2. The sales totals at Macy's food store have increased exponentially over the months. Which of these best shows the sales in the first three months?

$1200 in the first month, $1220 in the second month, $1240 in the third month
$1200 in the first month, $1272 in the second month, $1344 in the third month
$1200 in the first month, $1285 in the second month, $1370 in the third month
$1200 in the first month, $1224 in the second month, and $1248.48 in the third month

Answers

Answer:

1: option:D

2: option:D

Step-by-step explanation:

1:

Clearly as we see the time of sasha practice it increases by a fixed factor of '2'. but when we see the time of mona's practice it increases by 10mins every week. hence there is a addition of a fixed number '10'.

so option D is correct;which says Sasha's methid is exponential because it increases by a fixed factor, and mona's method is linear because it increases by a fixed number.

2:

option D determines that the rate are increasing exponentially.


Gasoline costs $3.29 per gallon. Write an expression to represent the total cost of buying g gallons of gasoline at that price.

Answers

x = amount of gallon
y = total price

3.29(x) = y

hope this helps

What is the tangent of angle a?
a. 6/8
b. 8/10
c. 8/6
d. 6/10

Answers

tanA= opposite /adjacent
tan A= 8/6
We know that the tangent is the ratio of the opposite side of the angle and the adjacent side of the angle.

So...

Answer C. 8/6

Determine the nature of the roots of the function
f(x)=7x^2+5x-1

Answers

Finding the values of the discriminant:-

b^2 - 4ac  = 5^2 - 4*7 * -1  =  25 + 28  = 53

There will be 2 real roots 

Final answer:

To determine the nature of the roots of the function f(x)=7x²+5x-1, we calculate the discriminant, which is 53. Since it's positive, the equation has two distinct real roots.

Explanation:

The nature of the roots of the quadratic function f(x)=7x²+5x-1 can be determined by calculating the discriminant, which is part of the quadratic formula. The discriminant is given by b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0. For the given function, a = 7, b = 5, and c = -1. Therefore, the discriminant equals:

D = b² - 4ac

D = (5)² - 4(7)(-1)

D = 25 + 28

D = 53

Since the discriminant is positive (D > 0), the quadratic function has two distinct real roots.

Two vertices of an isosceles triangle in the coordinate plane have coordinates (0,0) and (2a,0). Where might the third vertex be located?

Answers

The third vertex might be (a,0). Consider A = (0,0) B = (2a,0) and C = (a,0) For an isosceles triangle, two sides and two angles will be equal. Based on that theory, side BC = CA. So calculating the distance BC = (2a-a)^2 +(0-0)^2 = a^2 Calculating the distance CA = (a-0)^2 + (0-0)^2 = a^2 The sides are equal that is a^2

To burn 1 molecule of c7h16 to form co2 and h2o (complete combustion), how many molecules of o2 are required?

Answers

Final answer:

Eleven molecules of O2 are required to completely combust one molecule of C7H16, producing CO2 and H2O. The balanced chemical reaction of this process is: C7H16 + 11O2 → 7CO2 + 8H2O.

Explanation:

Combustion of one molecule of C7H16 (heptane) to produce CO2 (carbon dioxide) and H2O (water) requires 11 molecules of O2 (oxygen). The balanced chemical equation of this reaction is:

C7H16 + 11O2 → 7CO2 + 8H2O

The equation shows that for every one molecule (or mole) of C7H16, 11 molecules (or 11 moles) of oxygen are needed. An analogy can be seen in the combustion of methane where one methane molecule and two oxygen molecules react to yield one carbon dioxide molecule and two water molecules.

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which of the following is a linear equation: (a)x2-y2=1 (b)y=3/4-x/2 (c)x2+y2=1 (d)y=3/4+2/x

Answers

The format you wrote them in shows that all of them are linear equations.  Im going to assume that some of the are supposed to be exponent.  

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

4t^3+8t

Answers

The greatest common factor is [tex]4t[/tex] (we can see this by factoring it out and noting that there are no more common factors in the polynomial).  Factoring it out of both terms gives:
[tex]4t(t^2+2)[/tex], which is the answer.

compare discrete domains and continuous domains.

Answers

discrete domains and continuous domains are both sets. However a discrete domain contains a finite number of elements and continuous can contain and infinite number of elements.

If you are passing a large tractor trailer rig going 50 mph, how long will it take to pass if you use the correct passing techniques?

Answers

If you are passing a large tractor trailer rig going 50 mph it will take you the time it takes to go 50 mphs for the distance of the tractor. Taking safety into account it should take you double of the amount of time that it would because it is important to slow down to 25 mph when passing.

To pass a truck going 55 mph while you go 60 mph, it will take about 8.94 seconds if using the correct passing techniques. This calculation is based on the relative speed and the total distance required to pass the truck.

First, consider the difference in speeds between the car and the truck. Assuming the truck is going 55 mph as stated in the reference information, and the car speeds up to 60 mph:

Calculate the relative speed:
Relative Speed = Car Speed - Truck Speed = 60 mph - 55 mph = 5 mphConvert this relative speed from mph to meters per second:
1 mph ≈ 0.44704 m/s
Relative Speed = 5 mph × 0.44704 ≈ 2.2352 m/sCalculate the total distance to pass the truck:
The truck is 17 m long and the car is 3 m long, so the car needs to cover its own length plus the truck's length to pass completely:
Total Distance = 17 m + 3 m = 20 mFinally, determine the time taken to pass:
Time = Distance / Relative Speed = 20 m / 2.2352 m/s ≈ 8.94 seconds

Therefore, it will take approximately 8.94 seconds to pass the truck completely.

Can someone please be kind enough to help me with all theses problems

Answers

I will tell you use a calculator and leave the answer there. Try the math see if you get it correct. If you don't tell me!
1- 793
2- 555
3- 878
I got tired of doing them so this is all I got sorry kid :(

how to find what numbers a number is divisible by

Answers

If the number ends with an even number or a number that is always divisible by 2. Or every number that ends with 5 or zero is always divisible by 5 too. Bdause for example in a fraction we do 10/5 and it will be equal to 2/1 or 2. Hope it helped you!
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