What is the solution set for the equation (x+3)(x-8)=0

Spencer takes out a home improvement loan for 30,000 at an interest rate of 5.5%. How much does he owe, and what is his monthly

igor_vitrenko [27]

Answer:

Use the simple interest formula: A = P(1 + rt) where P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

Solving our equation:

A = 30000(1 + (0.055 × 7)) = 41550

A = $41,550.00

The total amount accrued, principal plus interest, from simple interest on a principal of $30,000.00 at a rate of 5.5% per year for 7 years is $41,550.00.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Need this badly!!!!!!

prohojiy [21]

<h2>Hello!</h2>

The answer is:

The center of the circle is located on the point (-9,-2) and the radius is 6 units.

To solve the problem, we need to use the given equation which is in the general form.

We are given the circle:

$x^{2}+y^{2}+18x+4y+49=0$

We know that a circle can be written in the following form:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where,

h is the x-coordinate of the center of the circle

k is the y-coordinate of the center of the circle

r is the radius of the circle.

So, to find the center and the radius, we need to perform the following steps:

- Moving the constant to the other side of the equation:

$x^{2}+y^{2}+18x+4y=-49$

- Grouping the terms:

$x^{2}+18x+y^{2}+4y=-49$

- Completing squares for both variables, we have:

We need to sum to each side of the equation the following term:

$(\frac{b}{2})^{2}$

Where, b, for this case, will the coefficients for both terms that have linear variables (x and y)

So, the variable "x", we have:

$x^{2} +18x$

Where,

$b=18$

Then,

$(\frac{18}{2})^{2}=(9)^{2}=81$

So, we need to add the number 81 to each side of the circle equation.

Now, for the variable "y", we have:

$y^{2} +4y$

Where,

$b=4$

$(\frac{4}{2})^{2}=(2)^{2}=4$

So, we need to add the number 4 to each side of the circle equation.

Therefore, we have:

$(x^{2}+18x+81)+(y^{2}+4y+4)=-49+81+4$

Then, factoring, we have that the expression will be:

$(x+9)^{2}+(y+2)^{2}=36$

- Writing the standard form of the circle:

Now, from the simplified expression (after factoring), we can find the equation of the circle in the standard form:

$(x+9)^{2}+(y+2)^{2}=36$

Is also equal to:

$(x-(-9))^{2}+(y-(-2))^{2}=36$

Where,

$h=-9\\k=-2\\r=\sqrt{36}=6$

Hence, the center of the circle is located on the point (-9,-2) and the radius is 6 units.

Have a nice day!

3 0

3 years ago

A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap

erik [133]

Answer:

Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.

Step-by-step explanation:

As the complete question is not given a similar question is found online and is attached herewith.

Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.

Number of Candidates=12

Number of Posts=4

As the order is important the number of ways are identified using Permutations given as

$Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880$

So the number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.

Number of Candidates=12

Number of Posts=4

As the order is not important the number of ways are identified using Combinations given as

$Number\,\ of\, ways=^{12}C_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!4!}\\Number\,\ of\, ways=\frac{12!}{8!4!}\\Number\,\ of\, ways=495$

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.

8 0

3 years ago

THE PROBABILITY OF A FOOTBALL TEAM WINNING A MATCH IS 0.3 THE PROBABILTITY OF THE SAME FOOTBALL TEAM LOSING IS 0.55 WHAT IS THE

Sav [38]

Answer:

$P(Win) = 0.30$

Step-by-step explanation:

Given

$P(Win) = 0.30$

$P(Lose) = 0.55$

Required

$P(Win)$

This is already stated in the question as:

$P(Win) = 0.30$

5 0

3 years ago

Josephine wants to put a wallpaper border around the ceiling of her room. The dimensions are 7 ft and 3 inches and 8 feet and 3

Ilya [14]

Answer:
372inches or 31feet
How to:
7feet and three inches is equal to 87 inches and 8ft and 3 inches is equal to 99 inches. Then you know that both sides have to be multiplied by two because there are four sides in the room. Meaning you have 174in and 198in. Then you add those together to get your answer which is 372. To get back to feet just divide by twelve.

8 0

2 years ago