If your starting balance is $250, what is your new balance after a withdrawal of $56.50 and a deposit of $25.00?​

The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

Learn more about capability here

https://brainly.com/question/31154332

#SPJ11

The statement "if written backwards, the number, one thousand, one hundred twenty-five, would be written five thousand, two hundred eleven " is true

The given statement is

If written backwards, the number, one thousand, one hundred twenty-five, would be written five thousand, two hundred eleven

We have to check the given statement is true or false

The given number is

One thousand one hundred and twenty five

Write the number in numeric terms

One thousand one hundred and twenty five = 1125

Write the number in backwards

= 5211

Then the number will be

Five thousand two hundred and eleven

Therefore, the given statement is true

Learn more about number in backward here

brainly.com/question/14013987

#SPJ4

Answer:

Step-by-step explanation:

An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.

Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

To learn more about Division visit:https://brainly.com/question/21416852

#SPJ4

Answer:

7 - ?

Step-by-step explanation:

Write and expression like and you should have a right answer. Hope this helps and good luck :)

Answer:

x<7

Step-by-step explanation:

Hope this helps.

Answer:

00000000.1

Step-by-step explanation:

1+1=2-1%000.1

According to the question we have the solution of the  given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .

To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:

g'(x) = 3x(x^2 - 1/3)

Integrating both sides with respect to x, we get:

g(x) = ∫[3x(x^2 - 1/3)] dx

g(x) = ∫[3x^3 - 1] dx

g(x) = (3/4)x^4 - x + C

where C is the constant of integration.

To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:

2 = (3/4)1^4 - 1 + C

2 = 3/4 - 1 + C

C = 9/4

Therefore, the solution of the given initial value problem is:

g(x) = (3/4)x^4 - x + 9/4

In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.

To know more about differential visit :

https://brainly.com/question/31383100

#SPJ11

Answer:

relax jamal dont pull up the 9

Step-by-step explanation:

The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.

Marisol grouped the terms and factored the GCF out of the groups of the polynomial \(\rm 6x^3- 22x^2- 9x + 33\).

To factor out the common GCF out of the group, the following steps should have been taken by Marisol.

Marisol grouped the terms and factored the GCF out of the groups of the,

To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.

        \(\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)\)

        \(= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)\)

Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).

For more details about Polynomial refer to the link given below.

https://brainly.com/question/25914835    

Answer:

4cm

Step-by-step explanation:

well 100 degrees is 1.745 radians

s=r Θ

so r=7/1.745=4 cm

The radius of the circle is 4cm.

The arc of a circle is defined as the part or segment of the circumference of a circle.

Given:

angle = 100 degree

arc length= 7 inches.

We know arc length given by

s=rΘ

Thus, the angle in radian is 1.745 radians

So,

r= s/Θ

r= 7/1.745

r=4 cm

Hence, the radius is 4 cm.

Learn more about this concept here:

https://brainly.com/question/16403495

#SPJ2

Answer:

50mph

Step-by-step explanation:

250km = 5hrs

250km/5hrs = 50km

50km = 1hr

The height of the shorter flagpole is 22.5 feet, given that the taller 30-foot flagpole casts a shadow of 20 feet and the shorter flagpole casts a shadow of 15 feet.

We have two flagpoles, a taller one and a shorter one. We are given the following information:

The taller flagpole is 30 feet tall, the taller flagpole casts a shadow of 20 feet, the shorter flagpole casts a shadow of 15 feet.

We want to find the height of the shorter flagpole, denoted as "h."

We can use the concept of similar triangles to solve this problem. Similar triangles have the same shape but can be different in size. In this case, the two flagpoles and their shadows form similar triangles.

Let's set up a proportion using the heights and shadows of the flagpoles: h / 15 = 30 / 20.

We know that the ratio of corresponding sides in similar triangles is equal. In this case, the ratio of the heights of the flagpoles is equal to the ratio of their shadows.

Now, we can solve the proportion to find the height of the shorter flagpole (h): h = (15 * 30) / 20

Simplifying the equation: h = 450 / 20

h = 22.5 feet. Therefore, the height of the shorter flagpole is 22.5 feet.

Learn more about height here:

https://brainly.com/question/29131380

#SPJ11

{Fixed, the image just didn't load.)

1. 1 inch = 10 feet.

2. 30 ft. by 40 ft.

3.  5 in.

4. yes

Answer:

1. 1 inch = 10 feet.

2. 30 ft. by 40 ft.

3.  5 in.

4. yes

Step-by-step explanation:

Brainliest Please

The coordinates in the Cartesian system are parallel to one another and have the same unit length on both axes. A fixed point, an origin or pole, and a zero direction or axis make up a polar coordinate system. Each point's position in relation to the origin and the zero axis is determined by an angle and a distance.

A two-dimensional coordinate system known as a "polar coordinate system" is one in which each point's position on a plane is established by its distance from a reference point and its angle with respect to a reference direction. Because you interpret the point at which the axes cross as a pole from which everything radiates out, these new coordinates are known as polar coordinates. to alter. Several disciplines, including as mathematics, physics, engineering, navigation, and robotics, employ the polar coordinate system. Navigation and position. As the destination or direction of travel can be expressed as an angle and distance from the object being considered, polar coordinates are frequently utilized in navigation. For instance, the polar coordinates are slightly adjusted for use in aviation navigation.

Learn more about polar coordinate system here

https://brainly.com/question/14965899

#SPJ4

Based on an exponential model of the data, the predicted temperature of the water at 7 minutes is 39.7 °C using desmos graphing calculator.

Similar to how you discovered linear and quadratic models in prior chapters, exponential models can be found by fitting data to them. As you may already be aware, exponential functions take the form y = abx, where an is the value of y at x = 0 and b is the growth factor over each unit of time. Based on an equation like this one, the exponential model represents the degradation failure process: Y = deterioration; T = time; A and B = parameters to be calculated using the regression approach based on historical data. An expansion within a population that happens at the same pace across time is represented by the function of exponential growth. It is reasonable to suppose that data grows exponentially as populations double or triple in size.

Graph all the points on a graph. Then from the graph, we can find that at 7 minutes the temperature is 39.7°C.

To know more about the exponential model of the data, visit:

brainly.com/question/27905281

#SPJ1

Answer: 38.2 degrees

Step-by-step explanation:

enter into desmos

use y1 ~ abx2

then input numbers provided

(22.9178)1.07564^7

equals 38.18049

round 38.2

Answer:

The juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

Step-by-step explanation:

In order to determine the juice container that is the better buy, you have to find the one that has a lower cost per ounce by dividing the price of each juice container by the number of ounces it has:

64-ounce container: 6.50/64=0.10

48-ounce container: 4.25/48=0.08

According to this, the answer is that the juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

Pythagoras theorem is used to find the length of sides in geometry. The number of strips of Balsa wood having length of 13cm is  8 approximately.

Pythagoras theorem states that the square of the hypotenuse in a right angled triangle is equal to the sum of the squares of the remaining two sides.

Given that,

The length of each pole = 100cm.

The distance between the pole = 12cm.

The length of each strip of Balsa wood = 13cm.

The diagram for the given question is as follows,

Apply Pythagoras theorem, h² = p² + b² in the given triangle to find the hypotenuse as,

h² = 100² + 12²

=> h² = 10144

=> h = 100.71

Now, the number of strips of balsa wood is equal to hypotenuse divided by 13 which is given as,

100.71 ÷ 13 = 7.74.

Hence, the number of small strips of Balsa wood is 8 approximately.

To know more about Pythagoras theorem click on,

https://brainly.com/question/343682

#SPJ1

Answer:

42 students

Step-by-step explanation:

A percentage can be converted to a decimal. 30% -> 0.30.

Now multiply 60x0.30, which is 18.

So 18 were wearing sweatshirts. But that's not what we need.

Subtract 60-18, which is 42.

42 were not wearing sweatshirts.

---

hope it helps

Answer:

59.0

Step-by-step explanation:

Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:

Opposite side to angle X = 6

Hypotenuse = 7

Therefore, we would apply the following trigonometric ratio formula to solve for m<X:

\( sin X = \frac{6}{7} \)

\( sin X = 0.8571 \)

\( X = sin^{-1}(0.8571) \)

\( X = 58.99 \)

\( m < X = 59.0 \) (rounded to nearest tenth)

The more appropriate measure of center is mean.

The more appropriate measure of spread is standard deviation.

Mean is a measure of central tendency that determines the average of a set of numbers. Standard deviation is used to determine the spread of a dataset. It does this by determining the square root of the average of the squared differences of the numbers from the mean of the data set.

To learn more about standard deviation, please check: https://brainly.com/question/16555520

#SPJ1

5√7 × 3√14 = 5 × 3√(7 × 14)

= 15√98

= 105√2

Answer:

105\(\sqrt{2}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Given

5\(\sqrt{7}\) × 3\(\sqrt{14}\)

= 5 × 3 × \(\sqrt{7(14)}\)

= 15 × \(\sqrt{98}\)

= 15 × \(\sqrt{49(2)}\)

= 15 × \(\sqrt{49}\) × \(\sqrt{2}\)

= 15 × 7 × \(\sqrt{2}\)

= 105\(\sqrt{2}\)

The systems of inequalities are;

7G + 4H ≤ 168

14G + 2H ≤ 210

14G + 5H ≤ 252

x ≥ 0

y ≥ 0

The objective function for profit can be expressed as:

P = 28G + 8H

At least two linear inequalities in the same variables make up a system of a linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

Given:

For the information, the image is given below.

Type of Plant Square   Footage   Gallons of Soil   Cost

Giant Potted                    7                      14              $14

Hanging Basket               4                      2              $5

The objective function for profit can be expressed as:

P = 28G + 8H

where P is the total profit, G is the number of giant potted plants, and H is the number of hanging plants sold.

The systems of inequalities are;

7G + 4H ≤ 168

14G + 2H ≤ 210

14G + 5H ≤ 252

x ≥ 0

y ≥ 0

Note that the profit is the difference between the revenue earned from selling the plants and the cost of purchasing the soil. Since we are not given the cost of purchasing the plants, we cannot include it in the objective function.

Therefore, P = 28G + 8H is the required function.

To learn more about the systems of inequalities;

https://brainly.com/question/19526736

#SPJ9

Answer:

first one, and the third one

Step-by-step explanation:

Answer:

Options 2 and 3

Step-by-step explanation:

If there are 2 boys and 5 altogether, means there are 3 girls. The ratio of boys to girls would be 2:3.

Look at all the first and second options as fractions to make things simpler. Simplify the fractions and see which ones are equivalent to 2/3

4/10 = 2/5 FALSE

8/12 = 2/3 TRUE

Options 3, 4, and 5 are comparing boys to all students, so whatever matches the ratio 2/5 is true.

10/25 = 2/5 TRUE

20/30 = 2/3 FALSE

9/15 = 3/5 FALSE

Answer:

y+5=-3(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-(-5))/(-3-2)

m=(10+5)/-5

m=15/-5

m=-3

y-y1=m(x-x1)

y-(-5)=-3(x-2)

y+5=-3(x-2)

Answer:

Step-by-step explanation:

Linda sold 14

John sold 29 which is 14 two times plus one

29+14=43

Answer:

3

Step-by-step explanation:

7-4 = 3

4 = 1 + 1 + 1 + 1

So...

Substitute 4 with 1+1...

7 - 1 - 1 - 1 -1

Get rid of the ones one at a time:

6 - 1 - 1 - 1

5 - 1 - 1

4 - 1

3

Mark brainliest please!

Given that Afsheen spins the spinner below 200 times. We are to predict how many times the spinner landed on red.

Let's assume that the spinner has four equally sized sections: blue, green, yellow, and red.

The spinner has one section for each color. In total, the spinner has 4 sections.Let's say that the spinner was spun 200 times. Thus, the probability of landing on each color is the same. The probability of landing on red, therefore, is equal to the total number of times that it landed on red divided by the total number of spins performed. So we can write this as the following:

Probability of landing on red = number of times red appeared / total number of spins done

The number of times red appeared on the spinner is unknown. To find out, we must divide the total number of times that the spinner landed on red by the total number of spins. If we knew that, we could compute the probability of landing on red.

To know more about Probability visit:

brainly.com/question/32900629

#SPJ11

Answer:

The letter E