(6x?+ 5) - (4x - 3)
A. 6x2 - 4x + 2
B. 2x2 + 2
C. 2x2 + 8
O D. 6x2 - 4x + 8

Orlando should consider using simple interest and the amount he will have to pay is $696, under the condition that he wants to borrow $3,000 for the purchase of a used car. He needs to clear the loan after 4 years.

Orlando should apply the simple interest method.

The amount of interest he will pay using simple interest is evaluated

I = P × r × t

Here

I = interest paid

P = borrowed principal amount

r =  rate of annual interest

t = time

In this case,

P = $3,000

r = 5.8%

t = 4 years

Therefore,

I = $3,000 × 0.058 × 4

= $696

So Orlando will pay $696 in interest using simple interest.

The amount of interest he will pay using compound interest is calculated as follows:

\(A = P * (1 + r/n)^{(n*t)}\)

I = A - P

Here,

A = end term amount

n = count of interest that is compounded each year

In this case,

P = $3,000

r = 5.2%

t = 4 years

Interest is compounded annually so n=1

Therefore,

A = $3,000 × (1 + 0.052/1)⁴

= $3,697.47

I = $3,697.47 - $3,000

= $697.47

So Orlando will pay $697.47 in interest using compound interest.

Therefore, Orlando should choose simple interest method and he will owe $1.47 less using that method.

To learn more about simple interest

https://brainly.com/question/25845758

#SPJ4

Answer: It will take approximately 30 months to pay off the $500.00.

Step-by-step explanation:

Since we have given that

Principal = $10.00

Amount = $500.00

Rate of interest = 18.24%

So, we will apply "Compound interest" to find the number of months:

\(A=P(1+\dfrac{r}{100})^n\\\\500=10(1+\dfrac{18.24}{100})^n\\\\500=11.824^n\\\\\n\approx 2.5\)

So, the number of months would be

\(2.5\times 12=30\ months\)

Hence, it will take approximately 30 months to pay off the $500.00.

AB = BC

Since B is the midpoint of AC , Both segments AB and BC are equal:

Replacing with the values given:

20 = 2x

Solving for x

20/2 = x

10=x

Since:

AC= AB+BC

AC = 20+2x

Replacing x=10

AC = 20+2(10)

AC=20+20

AC=40

Answer: y = 1 and x = 4

Step-by-step explanation:

-8x + 10y = -22

8x - 15y = 17

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

- 5y = -5 Add the two equations to eliminate x

y = 1 Solve for y

=====

8x - 15y = 17 (y = 1) Use y=1 in either equation

8x - 15 = 17

8x = 32

x = 4 Ta da

Answer:

solution:  x = 4, y = 1 or (4, 1)

Step-by-step explanation:

To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):

-8x + 10y = -22

+ 8x -  15y =  17

       - 5y  = -5

Divide both sides by -5 to solve for y:

\(\frac{-5y}{-5} = \frac{-5}{-5}\)

y = 1

Next, substitute the value of y into one of the equations to solve for x:

-8x + 10y = -22

-8x + 10(1) = -22

-8x + 10 = -22

Subtract 10 from both sides

-8x + 10 - 10 = -22 - 10

-8x = -32

Divide both sides by -8 to solve for x:

\(\frac{-8x}{-8} = \frac{-32}{-8}\)

x = 4

Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).

Answer:

s=-1

Step-by-step explanation:

We can see here that possible equation for (-3, 0), (2,0) and (3,-12) is y = -12x - 36.

The possible equation for (-3,0) and (1/2,0) is y = 0.

The slope of the line can be found using the formula:

\(m = \frac{ y_{2} - y_{1}}{ x_{2} - x_{1}}\)

\((x_{2}, y_{2} ) = (3, -12)\\(x_{1}, y_{1} ) = (2, 0)\)

m = (-12 - 0)/(3 - 2) = -12/1 = -12

The slope and the point (2, 0) into the point-slope formula, we get:

y - 0 = -12(x - 2)

y = -12x + 24

Calculate the slope (m):

m = (change in y) / (change in x)

= (0 - 0) / (1/2 - (-3))

= 0 / (1/2 + 6)

= 0

Therefore, the two possible equations for the three points are y = 0 and y = -12x + 24.

Learn more about equation on https://brainly.com/question/2972832

#SPJ1

Given

Height of tank = 4 ft

Diameter = 2.2 ft

Gas is poured into the tank at a rate of 1.5 ft per minute.

Find

time taken to fill the empty tank.

Explanation

volume of cylindrical tank is given by

r = d/2 = 2.2 /2 = 1.1 ft

so ,

gas is poured at the rate of 1.5 ft per minute.

so ,

time taken to fill the empty tank =

Final Answer

Hence , the time to fill the empty tank is 10.1 minutes

By dividing the total number of values by the entire sum of all the numbers, the average can be computed. An average of the values in a sample of data can be used to define a mean. A mean is a term used to describe the average.

20 pounds of apple=1985

In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. Add up all the values in a batch of data and divide the total by the total number of values to find the average.

Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result. For instance, the result of 30 divided by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.

The average can be calculated by dividing the total number of values by the sum of all the numbers.

square 20, subtract 275 from it then divide it by 22

20 pounds of apple=1985

To learn more about average refer to:

https://brainly.com/question/20118982

#SPJ1

The average number of intersections the traffic engineer would need for each type of traffic signal to reject the null hypothesis at the 0.01 level of significance with a power of 0.90 is six

To test the effectiveness of these signals, the engineer must reject the null hypothesis, which states that there is no significant difference in the mean delays between the three types of signals. The engineer wants to reject the null hypothesis at the 0.01 level of significance with a power of 0.9. In other words, they want to be 90% sure that they can detect a significant difference if it exists.

Using the data provided in the study, the engineer can calculate the sample size needed for each type of signal. They need at least five intersections for pretimed signals, six intersections for semi-actuated signals, and four intersections for fully actuated signals to reject the null hypothesis at the desired level of significance with a power of 0.9.

To know more about average here

https://brainly.com/question/16956746

#SPJ4

Answer:

Step-by-step explanation:

D?

Answer:

6

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-8 - (-2)]² + (3 - 3)²

√(-6)² + (0)²

√36

= 6

The points on the ellipse 5x² + y² = 5 that are farthest away from (1, 0) are (-0.25, ±√4.6875).

The square of the distance from a point on the ellipse to the point (1, 0) is ...

 d^2 = (x -1)^2 +y^2

Using the equation of the ellipse to write an expression for y^2, we have ...

 d^2 = (x -1)^2 +5 -5x^2

 d^2 = -4x^2 -2x +6

The expression on the right is that of a downward-opening parabola with ...

 a = -4, b = -2, c = 6

The maximum is located at ...

 x = -b/(2a) = -(-2)/(2(-4)) = -1/4

The value of y there is ...

 y^2 = 5 -5(-1/4)^2 = 4 11/16

 y = √4.6875

Hence the points on the ellipse farthest from (1, 0) are (-0.25,±√4.6875).

To learn more about square root click here:  

https://brainly.com/question/11388449  

#SPJ4

Answer:

2.1 km

Step-by-step explanation:

Let's say the distance between the plane and the ground is y.

The horizontal distance between the plane and A is:

tan 58° = y / x₁

x₁ = y / tan 58°

x₁ = 0.625 y

The horizontal distance between the plane and B is:

tan 30° = y / x₂

x₂ = y / tan 30°

x₂ = 1.732 y

The difference between them is 3.8 km.

x₂ − x₁ = 3.8

1.732 y − 0.625 y = 3.8

1.107 y = 3.8

y = 3.432

The horizontal distance between the plane and point A is therefore:

x₁ = 0.625 × 3.432

x₁ = 2.145

Rounded, the plane is 2.1 km from point A.

Answer:

4.05km

Step-by-step explanation:

Because 58 represents the whole angle of where the airplane is, 58-30=28 degrees to find the small portion of the angle.

Let x represent the distance from the plane to point A.

3.8/sin(28) = x/sin(30) -> 3.8sin(30)/sin(28) = 4.05km

The value of each variable is:

x = -2

w = 8

r = 4

t = -1

Equating the first elements:

x - 5 = -7

We can solve this equation for x by adding 5 to both sides:

x = -7 + 5

x = -2

Equating the second elements:

9 = w + 1

We can solve this equation for w by subtracting 1 from both sides:

w = 9 - 1

w = 8

Equating the third elements:

4 = 8 - r

We can solve this equation for r by subtracting 8 from both sides:

8 - r = 4

Next, we can subtract 8 from both sides:

-r = 4 - 8

-r = -4

Finally, multiplying both sides by -1 to isolate r:

r = -4 × -1

r = 4

Equating the fourth elements:

t + 2 = 1

We can solve this equation for t by subtracting 2 from both sides:

t = 1 - 2

t = -1

Learn more about variables here:

https://brainly.com/question/15078630

#SPJ11

Answer: 50 teams

Step-by-step explanation:

       We will set up a proportion to solve.

\(\displaystyle \frac{30\%}{15\;\;\text{teams}} =\frac{100\%}{x\;\;\text{teams}}\)

       A percent divided by 100 becomes a decimal.

\(\displaystyle \frac{0.3}{15\;\;\text{teams}} =\frac{1}{x\;\;\text{teams}}\)

       Next, we will cross-multiply:

0.3x = 15

       Lastly, we will divide.

x = 50

The relation xOy is not reflexive and not transitive, it is not an equivalence relation. There are no equivalence classes to describe.

To determine whether the relation xoy on the set of all integers, where xoy if x+y is odd, is an equivalence relation, we need to check if it satisfies the three properties of reflexivity, symmetry, and transitivity.

1. Reflexivity:

For any integer x, x+x=2x, which is even.

Therefore, x0x is false, and the relation is not reflexive.

2. Symmetry:

If xOy, then x+y is odd. But y+x is also odd since addition is commutative.

Therefore, yOx, and the relation is symmetric.

3. Transitivity:

If xOy and yOz, then x+y is odd and y+z is odd. Adding these equations together,

we get x+y+y+z=x+z+2y, which is even.

Therefore, x+z is even, and xOz is false. Thus, the relation is not transitive.

Since the relation xOy is not reflexive and not transitive, it is not an equivalence relation. There are no equivalence classes to describe.

learn more about equivalence relation,

https://brainly.com/question/14307463

#SPJ11

The relation xOy is not reflexive and not transitive, it is not an equivalence relation. There are no equivalence classes to describe.

To determine whether the relation xoy on the set of all integers, where xoy if x+y is odd, is an equivalence relation, we need to check if it satisfies the three properties of reflexivity, symmetry, and transitivity.

1. Reflexivity:

For any integer x, x+x=2x, which is even.

Therefore, x0x is false, and the relation is not reflexive.

2. Symmetry:

If xOy, then x+y is odd. But y+x is also odd since addition is commutative.

Therefore, yOx, and the relation is symmetric.

3. Transitivity:

If xOy and yOz, then x+y is odd and y+z is odd. Adding these equations together,

we get x+y+y+z=x+z+2y, which is even.

Therefore, x+z is even, and xOz is false. Thus, the relation is not transitive.

Since the relation xOy is not reflexive and not transitive, it is not an equivalence relation. There are no equivalence classes to describe.

learn more about equivalence relation,

https://brainly.com/question/14307463

#SPJ11

The real part of the complex number is -5 and the imaginary part is -7i

From the question, we have the following parameters that can be used in our computation:

Complex number = -7i - 5

For a complex number represented as

a + bi

We have

Real = a

Imaginary = bi

using the above as a guide, we have the following:

Real = -5

Imaginary = -7i

Hence, the real part is -5 and the imaginary part is -7i

Read more about complex number at

https://brainly.com/question/28007375

#SPJ1

Answer:

6

Step-by-step explanation:

So since we are handling decimals we need to get rid of them in order to divide.

Now the numbers should be 96 and 16.

16 * 6 = 96 therefore 6 is the answer.

The required solution of 9.6 divided by 1.6 is 6.

Given that,
To determine 9.6 divided by 1.6

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
= 9.6 / 1.6
= 96 * 10 / 16 / 10
Factoring 36 in the numerator as 96 = 16 * 6
= 16 * 6 * 10 / 16 * 10
Now,
factors that are common between numerator and denominator will be eliminated,

= 6 / 1
= 6

Thus, the required solution of 9.6 divided by 1.6 is 6.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

The average CPI for the processor is 1.95.

To calculate the average CPI (Clock Cycles per Instruction) for a processor with three instruction classes (A, B, and C) having relative frequencies of 45%, 35%, and 20% respectively, and individual CPIs of 1, 2, and 4 respectively, we can use the following formula

Average CPI = (CPI_A * Frequency_A + CPI_B * Frequency_B + CPI_C * Frequency_C) / 100

Given the relative frequencies and individual CPIs, we can substitute the values into the formula:

Average CPI = (1 * 45 + 2 * 35 + 4 * 20) / 100

Average CPI = (45 + 70 + 80) / 100

Average CPI = 195 / 100

Average CPI = 1.95

For more information on CPI visit: brainly.com/question/30481924

#SPJ11

Answer: the answer would be 8.94

Step-by-step explanation:

I hope this helps! :)

Im  sorry if it turns out to be wrong!

Have a good rest of your day!

The rate at which the area of the square is changing when the sides are 'm' meters long is 2m^2 square meters per second.

To determine the rate at which the area of a square is changing, we can use the formulas for the area and differentiate with respect to time.

Let's denote the length of the sides of the square as 's' (measured in meters) and the rate at which the sides are increasing as 'm' (measured in meters per second).

a. To find the rate at which the area of the square is changing when the sides are 's' meters long, we differentiate the area formula with respect to time:

Area = s^2

Differentiating both sides with respect to time, we get:

d(Area)/dt = d(s^2)/dt

Using the power rule of differentiation, we have:

d(Area)/dt = 2s(ds/dt)

Substituting the given information, where ds/dt = m (rate at which the sides are increasing), we can write:

d(Area)/dt = 2s(m)

Therefore, the rate at which the area of the square is changing when the sides are 's' meters long is 2s(m) square meters per second.

b. If we specifically want to know the rate at which the area is changing when the sides are 'm' meters long, we substitute 's' with 'm' in the above equation:

d(Area)/dt = 2m(m)

Simplifying, we have:

d(Area)/dt = 2m^2

Therefore, the rate at which the area of the square is changing when the sides are 'm' meters long is 2m^2 square meters per second.

for such more question on area

https://brainly.com/question/15822332

#SPJ11

Answer:

\(y = \frac{6}{7}x - 1\)

Explanation:

\(Point 1: (-7, -7)\\Point 2: (7, -5)\)

\(\frac{y_{2} - y_{1} }{x_{2} - x_{1}}\)

\(\frac{(-5) - (-7)}{(-7) - (7)}\)

\(\frac{-12}{-14}\)

\(\frac{12}{14}\)

\(m = \frac{6}{7}\)

\(y - y_{1} = m(x - x_{1})\)

\(y - (-7) = \frac{6}{7}(x - (-7))\)

\(y + 7 = \frac{6}{7}(x + 7)\)

\(y = \frac{6}{7}x + \frac{42}{7} - 7\)

\(y = \frac{6}{7}x + (\frac{42}{7} - \frac{49}{7})\)

\(y = \frac{6}{7}x - 1\)

Answer:

{x}={2}

{x}=\frac{{{10}-\sqrt{{-{4}}}}}{{2}}={5}-{i}={5.0000}-{1.0000}{i}

{x}=\frac{{{10}+\sqrt{{-{4}}}}}{{2}}={5}+{i}={5.0000}+{1.0000}{i}

Answer:

15

Step-by-step explanation:

4:5

4 x 3 = 12 girls

5 x 3 = 15 boys

12:15

Answer:

D. 15

Step-by-step explanation:

4:5

4/5×3/3=12/15

12/15.....12 girls, 15 boys

:) ur welcome

The standard normal distribution is not uniform, but rather bell-shaped, symmetric about the mean, and unimodal. Therefore, the answer is b) It's uniform.

The standard normal distribution is a continuous probability distribution that has a mean of zero and a standard deviation of one.

It is characterized by being bell-shaped, symmetric about the mean, and unimodal, which means that it has a single peak in the center of the distribution.

The probability density function of the standard normal distribution is a bell-shaped curve that is determined by the mean and standard deviation.

The curve is highest at the mean, which is zero, and it decreases as we move away from the mean in either direction.

The curve approaches zero as we move to positive or negative infinity.

In a uniform distribution, the probability density function is a constant, which means that all values have an equal probability of occurring.

Therefore, the standard normal distribution is not uniform because the probability density function varies depending on the distance from the mean.

Learn more about standard normal distribution:

https://brainly.com/question/29509087

#SPJ11

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

Read more about Unit Circle at: https://brainly.com/question/26284611

#SPJ1

Explanation

Systems of equations

Juan´s age is 4 times the Peter's age, and

eigth years from now the Juan's age will be 36

so, we can solving a system of equations to solve this.

Step 1

let x represents the Juan´s age

let y represents the Peter´s age

so.

Juan´s age is 4 times the Peter's age,so

and

eigth years from now the Juan's age will be 36

Step 2

solve the equations

a)solve equation (2)

it means Juan's age is 28

b) replace the x value into equation (1)

hence, the Peter's agte is 7

I hope this helps you

Answer:

xy miles

Step-by-step explanation:

Answer:

xy miles

Step-by-step explanation:

cus i said so