Rita just bought a car for 15,000. She paid 20% down and borrowed the remainder at an annual interest rate of 9.0%. The loan will be repaid over four years with monthly payments of $298.62. How much is rita's down payment and how much did she borrow?

the television station can show 10 45-second commercials per hour.

To convert hours into minutes, you simply multiply the number of hours by 60, since there are 60 minutes in an hour.

So, if you want to convert 3 hours into minutes, you would do:

3 hours x 60 minutes/hour = 180 minutes

Therefore, 3 hours is equivalent to 180 minutes.

There are 60 minutes in an hour, and 7 1/2 minutes is equal to 7.5 minutes.

So, the television station shows commercials for 7.5 minutes per hour.

We can convert 45 seconds to minutes by dividing it by 60:

45 seconds ÷ 60 = 0.75 minutes

To find out how many 45-second commercials the television station can show per hour, we can divide the total number of minutes of commercials by the length of each commercial:

7.5 minutes ÷ 0.75 minutes/commercial = 10 commercials

Therefore, the television station can show 10 45-second commercials per hour.

To know more about second, visit:

https://brainly.com/question/11879335

#SPJ1

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

for such more question on annual interest rate

https://brainly.com/question/29451175

#SPJ8

Answer:

can sombody help awnser my problem

it's due in 10 minutes

Answer:

I think the answer will be weak positive

Answer:

Saving ...................

Am emergency fund are money kept or set aside incase of unforeseen circumstance and unforeseen expenses or expenses that are not plan for.

Saving is important as saving is  the easily accessible part of emergency fund reason being that you can easily take from the money you already save in case of unforeseen expense and  this prevent you from having to borrow.

Inconclusion the easily accessible part of an emergency fund is : savings.

Learn more about emergency fund here:https://brainly.com/question/13420184

Answer:

Step-by-step explanation:

All you need o divide 3,300 by 50

  3300

÷     50

--------------

66

so ever minute he would most likely type 66 words

Answer:

A = $20,940

Step-by-step explanation:

Interest = Principal x Rate x Time

I = prt

I = 15000(.018)(22)

I = 5940

Interest = $5,940

Total Amount = Principal + Interest

A = P + I

A = 15000 + 5940

A = 20940

Expressions (i) and (v) are equivalent to the original expression \(162x^2 - 72.\)

In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a quantity. It can consist of constants, variables, arithmetic operators, and other mathematical functions or operations.

The expression \(162x^2 - 72\) can be factored using the difference of squares formula: \(a^2 - b^2 = (a+b)(a-b)\).

First, we can factor out 18 from the expression:

\(162x^2 - 72 = 18(9x^2 - 4)\)

Now, we can apply the difference of squares formula by setting a = 3x and b = 2:

\(9x^2 - 4 = (3x)^2 - 2^2 = (3x + 2)(3x - 2)\)

Substituting this back into the original expression, we get:

\(162x^2 - 72 = 18(9x^2 - 4) = 18(3x + 2)(3x - 2)\)

Therefore, expressions (i) and (v) are equivalent to the original expression \(162x^2 - 72\).

To know more about expression visit:

https://brainly.com/question/1859113

#SPJ1

Answer:

\(f(x)=\displaystyle \frac{6}{x}=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)

Step-by-step explanation:

Recall the formula for Taylor Series:

\(\displaystyle f(x)=f(c)+f'(c)(x-c)+\frac{f''(c)(x-c)^2}{2!}+\frac{f'''(c)(x-c)^3}{3!}+...+\frac{f^n(c)(x-c)^n}{n!}=\sum^\infty_{n=0}\frac{f^n(c)}{n!}(x-c)^n\)

Determine the derivative function fⁿ(c):

\(\displaystyle f(c)=\frac{6}{c}=\frac{6}{1}=6\\ \\f'(c)=-\frac{6}{c^2}=-\frac{6}{1^2}=-6\\ \\f''(c)=\frac{12}{c^3}=\frac{12}{1^3}=12\\\\f'''(c)=-\frac{36}{x^4}=-\frac{36}{1^4}=-36\\\\....\\\\f^n(c)=6(-1)^{n}n!\)

Therefore, the infinite series can be written as:

\(\displaystyle f(x)=\frac{6}{x}=\sum^\infty_{n=0}\frac{6(-1)^nn!}{n!}(x-1)^n=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)

The total area of the composite figure is;  94.485 sq.units

The given composite shape is made up of a rectangle and the quadrant of a circle.

Formula for area of rectangle is;

A_r = Length * Width

Thus;

A_r = 8 * 7

A_r = 56 sq.units

The formula for the area of the quadrant of a circle is;

A_quad = ¹/₄πr²

Thus;

A_quad = ¹/₄π * 7²

A_quad = 38.485 sq.units

Total area of composite figure = 56 sq.units + 38.485 sq.units

= 94.485 sq.units

Read more about Area of composite shape at; https://brainly.com/question/10254615

#SPJ1

Answer:

$3.25

Step-by-step explanation:

So,

If a package of 17 sliced apples is $2.21, lets find out the price per apple.

2.21 / 17 = 0.13

so, the price per apple is $0.13

Now, we find the price of a package with 25 sliced apples.

0.13 x 25 = 3.25

So, the price of a package with 25 sliced apples is $3.25

Hope this helps!

\(\huge\color{yellow}{ \colorbox{green}{\colorbox{white} {Answer:}}}\)

You can only draw one triangle, because in a one triangle there is only three angles.

\(\huge\color{pink}{ \colorbox{red}{\colorbox{white} {ChaEunWoo2009}}}\)

#CarryOnLearning

Answer: i need your help, XD

Step-by-step explanation:

The formula would you put in cell location h10 to find the numerical derivative at position 10 of column k of the data found in j is =DERIVXY(h10, k10, j)

The term called derivative is defined as the process to determine the rate of change of a quantity with respect to another changing quantity

Here we have to write the formula for the cell location h10 to find the numerical derivative at position 10 of column k of the data found in j.

As from the definition, the general form derivative function is written as,

=> =DERIVXY(x, y, p, [options])

where x a vector of the points x-coordinates and y corresponding vector of the points y-values and p the point at which to compute the derivative.

Here we have the values of x as h10, y as k10 and p as j

Then the formula is written as,

=> =DERIVXY(h10, k10, j)

To know more about derivative here.

https://brainly.com/question/25324584

#SPJ4

When preparing QFD for a soft drink container, analyzing customer requirements regarding the container's ability to fit a cup holder is found to be the least effective attribute in terms of meeting customer needs. (option a)

To explain this in mathematical terms, we can assign weights or scores to each requirement based on its importance. Let's assume that we have identified four customer requirements related to the soft drink container:

Fits cup holder (a): This requirement relates to the container's size or shape, ensuring that it fits conveniently in a cup holder in vehicles. However, it may not be as crucial to customers as the other requirements. Let's assign it a weight of 1.

Does not spill when you drink (b): This requirement focuses on preventing spills while consuming the soft drink. It is likely to be highly important to customers who want to avoid any mess or accidents. Let's assign it a weight of 5.

Reusable (c): This requirement refers to the container's ability to be reused multiple times, promoting sustainability and reducing waste. It is an increasingly important aspect for environmentally conscious customers. Let's assign it a weight of 4.

Open/close easily (d): This requirement relates to the convenience of opening and closing the container, ensuring easy access to the beverage. While it may not be as critical as spill prevention, it still holds significant importance. Let's assign it a weight of 3.

Next, we consider the customer ratings or satisfaction scores for each attribute. These scores can be obtained through surveys or feedback from customers. For simplicity, let's assume a rating scale of 1-5, where 1 indicates low satisfaction and 5 indicates high satisfaction.

Based on customer feedback, we find the following scores for each attribute:

a fits cup holder: 3

b does not spill when you drink: 4

c reusable: 4

d open/close easily: 4

Now, we can calculate the weighted scores for each requirement by multiplying the weight with the customer satisfaction score. The results are as follows:

a fits cup holder: 1 (weight) * 3 (score) = 3

b does not spill when you drink: 5 (weight) * 4 (score) = 20

c reusable: 4 (weight) * 4 (score) = 16

d open/close easily: 3 (weight) * 4 (score) = 12

By comparing the weighted scores, we can see that the attribute "a fits cup holder" has the lowest score (3) among all the options. This indicates that it is the least effective attribute for meeting customer requirements compared to the other attributes analyzed.

Hence the correct option is (a).

To know more about customer requirements here

https://brainly.com/question/28310805

#SPJ4

Answer:1.6

Step-by-step explanation:

25/5=5

8/5=1.6

Answer:

Step-by-step explanation:

if 5miles = 25 minutes

then, 8 miles = X

hence X minutes

\(x = \frac{25minutes}{5miles} \times 8miles\)

Answer:

Rs.13,130 ,000

Step-by-step explanation:

Lets solve first for year 1990

Value of stock in 1990 = Rs. 152.50

No. of stocks issued in 1990 = 100,000

Total value of these stocks in 1990= Value of stock in 1990* no of stocks issued in 1990  = 152.50*100,000 = Rs. 15,250,000

Let solve first for year 1993

Value of stock in 1993 = Rs. 21.20

No. of stocks   1993 = 100,000

Total value of these stocks in 1993 = Value of stock in 1993* no of stocks issued in 1993  = 21.20*100,000 = Rs. 2,120,000

Decrease in value of stock in 1993 in comparison to 1990 = Total value of the stocks in 1990 -Total value of the stocks in 1993

 =  Rs. 15,250,000 - Rs. 2,120,000

 = Rs.13,130 ,000

Thus, the 100,000 shares worth Rs.13,130 ,000 lesser in 1993 than in 1990.

The line of discontinuity is x = 0 or y = 0.

We have,

To identify the line of discontinuity in the function f(x, y) = ln|x y|, we need to determine the values of x and y for which the function becomes undefined or exhibits a discontinuity.

In this case, the natural logarithm function, ln, is undefined for non-positive values.

Therefore, we need to find the values of x and y that make the expression |x y| non-positive.

The absolute value of a real number is non-positive when the number itself is zero or negative.

So, we set the expression inside the absolute value, x y, to be zero or negative:

x y ≤ 0

This inequality indicates that either x ≤ 0 and y ≥ 0, or x ≥ 0 and y ≤ 0, for the expression to be non-positive.

Hence, the line of discontinuity occurs along the line where either x ≤ 0 and y ≥ 0, or x ≥ 0 and y ≤ 0.

The equation of this line can be written as:

x ≤ 0, y ≥ 0 or x ≥ 0, y ≤ 0

This line divides the plane into two regions:

one where x ≤ 0 and y ≥ 0, and the other where x ≥ 0 and y ≤ 0.

Along this line, the function f(x, y) = ln|x y| becomes undefined or discontinuous.

Note that when x = 0 or y = 0, the function f(x, y) = ln|x y| is also undefined, but these points do not form a continuous line.

Thus,

The line of discontinuity is x = 0 or y = 0.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ12

Answer:

14.9cm

Step-by-step explanation:

hope it helps you good day.

Answer:6 1/2

Step-by-step explanation:1/2+3 1/2+2 1/2

Add all the halves (1/2)

1/2+1/2+1/2=1 1/2

Then add the 3 and 2 in front of the fraction.

3+2=5

So, 1 1/2+5=6 1/2

Answer:

6 1/2

Step-by-step explanation:

3+2=5

1/2+1/2=1

5+1=6

6+1/2=6 1/2

Answer:

$1,111.88

Step-by-step explanation:

To calculate the monthly payment for a $60,000 loan compounded monthly for 5 years at a 4.0% interest rate, we can use the formula:

P = PV(i / (1 - (1 + i)^(-n)))

where:

P = monthly payment

PV = present value or loan amount

i = interest rate per period

n = total number of periods

In this case, the loan amount is $60,000, the interest rate per period is 4.0% / 12 = 0.00333, and the total number of periods is 5 years x 12 months/year = 60 months.

Substituting these values into the formula, we get:

P = 60000(0.00333 / (1 - (1 + 0.00333)^(-60)))

P = $1,111.88 (rounded to the nearest cent)

Therefore, the monthly payment for a $60,000 loan compounded monthly for 5 years at a 4.0% interest rate is $1,111.88.

The length and width of the plot that will maximize the area is 60 meters by 120 meters. The largest area that can be enclosed is 7200 square meters.

To maximize the area of the rectangular plot, Farmer Ed must use 9000 meters of fencing to enclose three sides of the plot. The fourth side, which borders the river, does not need to be fenced. To find the length and width of the plot that will maximize the area, the 9000 meters of fencing must be divided into two sides of equal length, with the remaining fencing used for the third side. This results in a length of 120 meters and a width of 60 meters, which maximizes the area of the plot. The largest area that can be enclosed is 7200 square meters.

learn more about area here

https://brainly.com/question/27683633

#SPJ4

Answer:

to my own understanding I presume it is 23

Answer:

23

Step-by-step explanation:

trust me its the right answer i triple checked

El área del terreno es igual a 406 metros cuadrados.

El perímetro del terreno es igual a 104 metros.

En esta pregunta tenemos conocimiento de las ecuaciones asociadas a las longitudes de la base y la altura del terreno, cuya forma es rectangular. Inicialmente, determinamos el área del terreno:

A = b · h

A = (20 - 2 · x) · (16 + 10 · x)

A = (20 - 2 · 3) · (16 + 10 · 3)

A = (20 - 6) · (16 + 13)

A = 14 · 29

A = 406 m²

El área del terreno es igual a 406 metros cuadrados.

Ahora, determinamos el perímetro del terreno:

p = 2 · (b + h)

p = 2 · [(20 - 2 · x) + (16 + 10 · x)]

p = 2 · (8 · x + 36)

p = 16 · x + 72

p = 16 · 2 + 72

p = 32 + 72

p = 104 m

El perímetro del terreno es igual a 104 metros.

Para aprender más sobre polinomios: https://brainly.com/question/28291208

#SPJ1

Answer:

\( \sqrt{9 } = 3 \)

Answer:

The factored version of the given equation is going to be (3x² + 4y)(x + 5)

Step-by-step explanation:

3x³ + 15x² + 4xy + 20y

First, you break down 3x³. You can do this by finding the common factor of 3x³ and 15x². You can add the x to the other parentheses because x times x² equals x³

(3x² + )(x + 5)

Now, we break down 4xy by finding the common factor of 4xy and 20y.

(3x² + 4y)(x + 5)

So, the factored version of the equation above is (3x² + 4y)(x + 5)

Answer:

The price is now 80% of the original price, it *was* multiplied by 0.80

to reverse this, we have to decide by 0.80

160/0.8 = 200

you can check this by

200*0.8 = 160

Approximately 95% of scores lie between -1.96 and 1.96 z-scores. This is because the area under the standard normal distribution curve between these two values is approximately 0.95.

To calculate this, first calculate the area under the standard normal distribution curve between -1.96 and 1.96. This can be done by using a Z-score table, which provides the area under the curve to the left of a given value. To calculate the area between -1.96 and 1.96, subtract the area to the left of -1.96 from the area to the left of 1.96. This is approximately 0.95.

Since the total area under the curve is 1, this implies that approximately 95% of scores lie between -1.96 and 1.96 z-scores. This is commonly known as the "95% Rule," and it is a useful way to quickly estimate the amount of scores that are within a certain range.

It is important to note that this calculation is only an approximation, as the exact value depends on the actual values that are used. Therefore, it is important to use a Z-score table with more accurate values if more precision is needed.

See more about normal distribution at: https://brainly.com/question/14243195

#SPJ11