Find the missing measure and write your solution on the blank provided

The monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25

First, we need to get the amount on the cost of the Jeep at the rate of 7.5% using the formula

Amount = Principal + Interest

Given the following parameters

Get the interest

Get the amount;

Calculate the monthly payment:

Hence the monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25

Learn more on compound amount here: https://brainly.com/question/24924853

Answer:

  (d)  yes; -7

Step-by-step explanation:

The differences between terms are ...

  12 -19 = -7

  5 -12 = -7

  -2 -5 = -7

These are all the same, so this difference is "common". A sequence in which terms have a common difference is an arithmetic sequence.

This sequence is arithmetic, with a common difference of -7.

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

To know more about dimensions, click on:

https://brainly.com/question/31677552

The number of insects at t=0 is 700, the growth rate is 28e^0.04, population of insects after 10 days is 1044, and the graph of the function is attached.

What is function?

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

a) Number of insects at time (t) = 0 days,

Putting t = 0 in given function:

P(t) = 700e^0.04(0) = 700e^0 = 700

Hence,  the number of insects at t = 0 days is 700.

b) Growth rate of insect population,

In order to find growth we need to differentiate the given function with respect to t.

So,  dP(t)/dt = 700(0.04)e^0.04(0)

= 28e^0.04

Hence, the growth rate is 28e^0.04.

c)  Graph the function is attached in the question.

d) The population of the insects after 10 days,

putting t = 10,

= 700e^0.04(10) = 1044

Hence, population of insects after 10 days is 1044.

To know more about function, go to link

https://brainly.com/question/10439235

#SPJ1

Answer:

y = 15x + 8         slope = 15         y-intercept = 8

Step-by-step explanation:

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

Answer:

115 degrees

Step-by-step explanation:

The addition of 2 straight angles = 180 degrees

180-65 = 115

The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

For more such questions on probability, click on:

https://brainly.com/question/31048927

#SPJ8

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

Answer:

A

Step-by-step explanation:

y + 3 = -6(x + 2)

y + 3 = -6x - 12

y + 3 = -6x - 12

y = -6x - 15

Two numbers that multiply to 40 and add to 10 are 5 - 3.87i and 5 + 3.87i

From the question, we are to determine two numbers that multiply to 40 and add to 10

Let the numbers be x and y

Then,

We can write that

xy= 40            ------------- (1)

x + y = 10        ------------- (2)

From equation (2)

x + y = 10

x = 10 - y         ------------ (3)

Substitute into equation (1)

xy = 40

(10 - y)y = 40

10y - y² = 40

y²- 10y + 40 = 0

Using the quadratic formula,

y = [-b±√(b² - 4ac)]/2a

a = 1, b = -10, c = 40

y = [-(-10)±√((-10)² - 4(1)(40)]/2(1)

y = [10±√(100 - 160)]/2

y = 5±3.87i

Substitute the values of y into equation (3)

When y = 5 + 3.87i

x = 10 - y

x = 10 - (5 + 3.87i)

x = 5 - 3.87i

When y = 5 - 3.87i

x = 10 - y

x = 10 - (5 - 3.87i)

x = 5 + 3.87i

Hence, the numbers are 5 - 3.87i and 5 + 3.87i

Lear more on Determining the values of unknown numbers here: https://brainly.com/question/24494468

#SPJ1

Answer:

The shadow is 3/4 of the actual height.

24 foot shadow = 4/3 * 24 = 32 feet

Answer is a

Step-by-step explanation:

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

Learn more about biconditional statement from

https://brainly.com/question/8663998

#SPJ1

Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

x=5

steps

they are vertical angles

they are equal

4x+90=110

4x=20

x=5

Answer:

Step-by-step explanation:

9900

If the value of a in the quadratic function f f(x) = ax² + bx + c is 1/2, the function will; open up and have a minimum

We are told that the value of a in the quadratic function f(x) = ax² + bx + c is 1/2. Thus, the quadratic function is expressed as;

f(x) = ¹/₂x² + bx + c

If the signs of the coefficients of x² and x are equal, then the graph axis of symmetry will be on the left hand side of the y-axis. This is because the axis of symmetry is expressed as; x = -b/2a

Now, if the sign of the constant term is positive, then it means that the y-intercept is positive. This is because the y-intercept is the value at which x = 0 which is f(0)

Now, if the discriminant is negative, then it means that the quadratic graph will not touch the x-axis. This is because the graph touches x-axis when f(x) = 0, but the solution will be imaginary and as such it doesn't touch on the graph.

Read more about Quadratic function parabola at; https://brainly.com/question/9028052

#SPJ1

Complete question is;

If the value of a in the quadratic function f(x) = ax² + bx + c is 1/2 the function will:

open down and have a minimum

open up and have a maximum

open down and have a maximum

open up and have a minimum

Producing 20 items a day will maximize the company's profits.

Optimization of a function is the process of finding the maximum or minimum value of a function over a given domain. It involves finding the input value(s) that produce the highest or lowest output value(s) of the function.

To find the level of production that maximizes profits, we need to find the maximum point of the profit function P(x).

The maximum point of a function occurs when its derivative is zero or does not exist. Therefore, we will differentiate P(x) with respect to x to find the critical points:

P(x) = 9x² + 40x - (1/3)x³

P'(x) = 18x + 40 - x²

Setting P'(x) = 0 and solving for x, we get:

18x + 40 - x² = 0

Rearranging the terms, we get:

x² - 18x - 40 = 0

Solving this quadratic equation, we get:

x = 20 or x = -2

Since the production level cannot be negative, we reject x = -2 and conclude that the level of production that maximizes profits is x = 20.

To know more about optimization of function, click here

https://brainly.com/question/28615890?

#SPJ1

Step-by-step explanation:

1/4×48

=12

So if 12people are out of state

48-12=36,is the number of people living in the state

Answer:

605

Step-by-step explanation:

11x55=605

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

Amadi: 20 years old

Chima : 4 years old

Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

What are basic arithmetic operations?

Basic arithmetic operations are fundamental mathematical calculations that involve manipulating numerical values using a set of basic operations.

To find out how many points Antonio needs to score in his next game to reach an average of at least 100 points per game, we can use the following formula:

Total points needed = (number of games + 1) × average score goal - total points scored so far

In this case, Antonio has played 5 games, so the number of games he will have played after his next game is 6. His goal is an average of 100 points per game, so his average score goal is 100. The total points he has scored so far is:

105 + 95 + 97 + 82 + 110 = 489

Substituting these values into the formula, we get:

Total points needed = (6) × (100) - 489

Total points needed = 600 - 489

Total points needed = 111

Hence, Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

To learn more about arithmetic operations, visit:

https://brainly.com/question/4721701

#SPJ1

Answer:

answer is -1 answer solution

Answer:

\(3.4 \: apple \: pounds = 5.61 \: dollars \\ 1 \: apple \: pound = \{ \frac{(1 \times 5.61)}{3.4} \} \: dollars \\ \\ = { \boxed{ \boxed{1.65 \: dollars \: per \: pound}}}\)

Answer:

1.65

Step-by-step explanation:

5.61/3.4=1.65

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer: \(\$11.5\)

Step-by-step explanation:

Given

Demand function is \(p=22-2q\)

The average cost function is \(c=2+q\)

Total revenue is the product of demand and the price per unit.

\(r=\left(22-2q\right)q\)

Profit is given by the difference of the total revenue and the cost

\(\Rightarrow P=r-c\\\Rightarrow P=22q-2q^2-2-q\\\Rightarrow P=-2q^2+21q-2\)

Find the derivative of profit to get the maximum profit

\(\Rightarrow P'=-4q+21\\\text{Put the derivative equal to 0 to get the maximum profit}\\\\\Rightarrow q=\dfrac{21}{4}\)

Put q in the equation of demand to get the price

\(\Rightarrow p=22-2\times \dfrac{21}{4}\\\\\Rightarrow p=22-10.5\\\Rightarrow p=\$11.5\)

Answer:

there is no correlation .

Step-by-step explanation:

ive been doing those questions too for my algebra class.

Answer:

Need more info please

Step-by-step explanation:

Answer:

the coordinate is (11,1)

Two functions f and g are inverse functions if fog(x) = x and gof (x) = x for all values of x in the domain of f and g. For instance, f (x) = 2x and g(x) = x are inverse functions because fog(x) = f (g(x)) = f ( x) = 2( x) = x and gof (x) = g(f (x)) = g(2x) = (2x) = x.