Simplify: 3x^2-9x over x^2-2x-3

The equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is: Interest = $750 * 0.16.

To write the equation for calculating the yearly interest earned on an investment, we can use the formula:

Interest = Principal * Rate

Where:

- Principal is the initial investment amount.

- Rate is the interest rate expressed as a decimal.

In this case, you invested $750, and the annual interest rate is 16%. To use the decimal form of the interest rate, we divide it by 100:

Rate = 16% = 16/100 = 0.16

Substituting the values into the equation:

Interest = $750 * 0.16

To calculate the interest, we multiply the principal by the interest rate:

Interest = $750 * 0.16 = $120

Therefore, the equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is:

Interest = $750 * 0.16

Now, let's complete a table to show the growth of your investment over multiple years. We'll assume the interest is compounded annually.

Year | Initial Investment | Interest Earned | Total Value

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

 1        $750                 $120              $870

 2        $870                 $139.20          $1009.20

 3        $1009.20            $161.47          $1170.67

 4        $1170.67            $187.31          $1357.98

 5        $1357.98            $217.28          $1575.26

In each year, we calculate the interest earned by multiplying the initial investment by the interest rate (16% or 0.16). The total value is obtained by adding the initial investment and the interest earned. This process is repeated for each subsequent year.

The table shows the growth of your investment over five years, demonstrating how the interest compounds and increases the total value each year.

more such question on interest visit

https://brainly.com/question/25720319

#SPJ8

Answer:

c

Step-by-step explanation:

The prime factorization of 50 is:

2 x 5 x 5

In exponent notation, we can write it as:

2 x 5²

The factors are ordered from least to greatest as 2, 5, 5.

Answer:

Step-by-step explanation:

a number =                                                     x

Sum of a number and two:                           (x + 2)

(Sum of a number and two) is doubled: 2 * (x + 2)

The result (put an equal sign):                         =

Three less than the number:                         x - 3

Now just put The two bolded parts together and an equal sign between them.

2(x + 2) = x -3                                                    Remove the brackets

2x + 4 = x - 3                                                     Subtract x from each side

2x - x + 4 = x -x - 3                                            Combine

x + 4 = - 3                                                          Subtract 4

x +4 - 4 = -3 - 4

x = - 7

Answer:

2<x<_5

Step-by-step explanation:

Answer:  -1, -32/40, 14/35

Answer:

A. p + q = b

D. p · q = c

Step-by-step explanation:

It's best to look at an example, such as this:

\(x^2 - 12x + 35\)

And it's factored form is:

(x - 5) (x - 7)

As you can see, if you add -5 (p) and -7 (q), you get -12 (b). Then, if you multiply -5 (p) and -7 (q), you get 35 (c).

Answer:

A and D

Step-by-step explanation:

STOP REPORTING MY ANSWER!!

Kono Dio Da!!!

Answer:

h< 0 and k > 0

Step-by-step explanation:

Quadrant 2 is when x< 0 and y > 0

For the center to be in quadrant 2

h< 0 and k > 0

Answer:

Undefined

Step-by-step explanation:

The slope of a horizontal line is zero.  The slope of a vertical line is undefined.

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Step-by-step explanation:

reading the question thoroughly, we find out that volume (V) and radius (r) of the cone is given, and we just have to find out the length (h) of the cone

V = πr²h/3

Putting the given values in place,

V = 75.36 cm³

V = 75.36 cm³r = 2 cm

V = 75.36 cm³r = 2 cmπ = 3.14

Now, since we calculating for h, we can interpret the formula in the terms of h, i.e.

h = 3V/(πr²)

h = 3×75.36/(3.14×2²)

h = 226.08/12.56

h = 18 cm

Thus, the height of the ice cream cone is 18cm

Hope this helped!

Answer:x=-5/11

Step-by-step explanation:

2x+2+20x=−8

Step 1: Simplify both sides of the equation.

2x+2+20x=−8

(2x+20x)+(2)=−8(Combine Like Terms)

22x+2=−8

22x+2=−8

Step 2: Subtract 2 from both sides.

22x+2−2=−8−2

22x=−10

Step 3: Divide both sides by 22.

22x/22=-10/22

The number of weeks to produce 225 units will be 10.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The given expression for the number of the unit produced is written as below,

s(t) = 14√4t + 44

For 225 units the number of weeks required will be calculated as:-

s(t) = 14√4t + 44

225 = 14√4t + 44

181 = 14√4t

4√t = (181 / 14 )

√t = ( 181 / 56 )

t = ( 181 / 56 )²

t = 10 weeks

Therefore, the number of weeks to produce 225 units will be 10.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ1

Answer:

It just has 1 decimal point

Step-by-step explanation:

If it was a number like 14.454, then that would have 3 decimal points

Hope this helps!

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Answer:

B) 24

Step-by-step explanation:

Those are alternate interior angle which mean they are congruent or equal to each other

2x=48 divide

48÷2=24

Answer:

B) 24

step by step:

2x = 48 ( two straight lines are parallel forming and the internal stagger angle is equal)

Answer:

s = 1

Step-by-step explanation:

7 = -10s - 3

=> 7 + 3 = 10s

=> 10 = 10s

=> 10/10 = s

=> 1 = s

Answer: s= -1

Step-by-step explanation:

Answer:

1460

Step-by-step explanation:

rounding to the nearest ten, that is nearest to 1456 which would be 1460 (hope this helps! ) ♡

Answer:

1460

Step-by-step explanation:

Original number is 1 4 5 6

To round to the nearest ten, look at the digit in the 10's place and the digit immediately to the right of it

The digit in the tens place is 5

If the digit to the immediate right of this digit is 5 or greater, round the digit in the tens place up by one digit and set the immediate right digit to 0

So 5 rounds up to 6

The 6 to the immediate right(units place becomes 0)

1 4 5 6 rounded to nearest ten==> 1 4 6 0

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

for such more question on perpendicular

https://brainly.com/question/18991632

#SPJ8

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Answer:

15+25=40

60-40=20

20 miles left

:))

Answer: The answer is 20 miles

Step-by-step explanation: Subtract all numbers

There are 125 participants in this sample. Thus, the margin of error = (1.96) x (0.5/√125) = 0.089

Margin of Error = (Critical value) x (Standard Deviation/Square root of Sample Size)

Critical value = 1.96

Standard Deviation = (30% x 70%)^0.5 = 0.5

Sample Size = 125

Therefore, Margin of Error = (1.96) x (0.5/√125) = 0.089

The margin of error for the survey results described can be calculated using the formula (Critical value) x (Standard Deviation/Square root of Sample Size). A 95% confidence interval's critical value is 1.96.The standard deviation is calculated by taking the square root of the product of the sample proportion (30%) and its complement (70%). There are 125 participants in this sample. Thus, the margin of error = (1.96) x (0.5/√125) = 0.089

Learn more about sample here

https://brainly.com/question/25894237

#SPJ4

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

To know more about Integral.

https://brainly.com/question/27419605

#SPJ8

what is way two get to the south pole.

Answer: 63

Step-by-step explanation:

3x9=27 so you would transfer that to the other equation

Answer:

bar graph

Step-by-step explanation:

y axis = number of kids

X axis = types of candy bars