An actor invests some money at 5% simple interest, and $23,000 more than 3 times the amount at 6% simple interest. The total annual interest earned from the investment is $28,290. How much did he invest at each amount? Use the 6 step method.

Answer:

one

Step-by-step explanation: you cant simplify the equation so that both sides can be divided to get the same equation, if you graph it theres not a parabola so the only thing left is one.

Answer:

One solution

Step-by-step explanation:

To solve this problem, isolate x.

1/2(x + 12) = 4x - 1

Dividing 1/2 from both sides, we get x + 12 = 8x - 2

Subtracting 12 from both sides, we get x = 8x - 14

Subtracting 8x from both sides, we get -7x = -14

Dividing -7 from both sides, we get x = 2

Since this problem is able to be solved with only one answer, there is one solution: x = 2.

Answer:

B

Step-by-step explanation:

3 in.

Answer:

x=0, x=-4

Step-by-step explanation:

Answer:

x=0, x=4

Step-by-step explanation: yes

Answer:

answer is c

Step-by-step explanation:

Answer:

(0,8}

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation:

The graph of the problem is plotted using Asymptote and attached.

From the graph:

There are a total of 20 families.

Average Number of Pets

[tex]=\dfrac{6*0+3*1+3*2+6*3+1*4+1*5}{20} \\\\=\dfrac{36}{20}\\\\=1.8[/tex]

The average number of pets per family is 1.8.

Answer:

1.8

Step-by-step explanation:

The bar chart tells us that:

6 families each have 0 pets,

3 families each have 1 pet,

3 families each have 2 pets,

6 families each have 3 pets,

1 family has 4 pets, and

1 family has 5 pets.

The total number of pets in all these families is (6 ∙ 0) + (3 ∙ 1) + (3 ∙ 2) + (6 ∙t 3) + (1 ∙ 4) + (1 ∙ 5) = 36. The number of families is 6 + 3 + 3 + 6 + 1 + 1 = 20. Therefore, the average number of pets per family is 38/20 = 1.8.

Answer:

1296 different outcomes

Step-by-step explanation:

Each cube has 6 possible values (from 1 to 6), and for each additional cube rolled, we have 6 more possible values, and the final number of different outcomes is the product of all the number of possible values for each cube.

So, if we roll the cube four times, the total number of different outcomes is:

6 * 6 * 6 * 6 = 1296

We have 1296 different outcomes from rolling the six sided cube four times.

Answer:

i think -7

Step-by-step explanation:

but im not sure

Answer:

The data plots represent the hours students study each week in two different classrooms 

The mean number of hours a student in Mr. Hart’s class studies is (4.6) hours.

Answer: 4.6

The mean number of hours a student in Ms. Perry’s class studies is (2.8) hours.

Answer: 2.8

A typical student in Mr. Hart’s class studies  a typical student in Ms. Perry’s (more than) class.

Answer: More than

Hope this helps

Final answer:

This inquiry involves comparing mean study times and understanding statistical concepts like the 30th percentile and hypothesis testing. The analysis includes determining if study habits have changed and interpreting the implications of percentile ranks among students.

Explanation:

The student's question pertains to statistics, specifically the comparison of mean study times between two classrooms and understanding of percentiles and hypothesis testing in the context of education research. When comparing the mean study times of students in Mr. Hart’s class to those in Ms. Perry’s class, it’s important to gather the numerical data representing the average weekly study hours for each class – which seems missing in the provided details. To understand the 30th percentile, in the context provided, it refers to the number of hours below which 30 percent of the students fall. Thus, thirty percent of students in the high school study seven or fewer hours per week, implying that the majority study more. To conduct a hypothesis test about whether study times have changed, one would set a null hypothesis stating that there has been no change in study time (with the mean study time equal to 2.5 hours), and an alternative hypothesis suggesting that the mean study time has increased. A statistical test (such as a t-test) would then be conducted to assess these hypotheses.

When planning a collaborative exercise for measuring student work habits, it is advisable to incorporate data collection and statistical analysis practices to allow students to understand real-world application of statistical concepts. The example given where students are asked to record their hourly activities over the course of a week is an excellent practice in self-monitoring and time management.

The elements of set P={1,2,4,5,10,20}

Hope it will help you...

Answer:

P = {1 , 2 , 5 , 10 , 20}.

Step-by-step explanation:

20÷2

=10

10÷2

=5

5÷5

=1

then the prime factors of 20 are 2 and 5

1

and

2

and

5

and

5×2

=10

and

5×2^2

=20

P = {1 , 2 , 5 , 10 , 20}.

________________________________________

:)

Answer:

D. [tex]g(x) = \frac{9}{5}\cdot x + 32[/tex]

Step-by-step explanation:

The mathematical transcription of the statement is:

[tex]g(x) = \frac{9}{5}\cdot x + 32[/tex]

Which corresponds with option D.

Answer:

sin O = √85/11,  csc O = 11/√85

cos O = 6/11, sec O = 11/6

tan O = √85/6, cot = 6/√85.

Step-by-step explanation:

cos = adjacent / hypotenuse = 6/11, so the opposite side to angle O

= √(11^2 - 6^2)

= √85.

csc O = 1/sin O

sec O = 1/cos O

cot O = 1/tan O.

Answer:

(6689)^2

Step-by-step explanation:

6689x 6689

There are 2 terms multiplied together and they are identical

a*a = a^2

6689x 6689 = (6689)^2

Answer:

The answer is a

Step-by-step explanation

2x2 - 4x + 2 will be a polynomial

(4x + 6) + (2x² - 8x - 4)

= 4x + 6 + 2x² - 8x - 4

= 2x² + (4x - 8x) + (6 - 4)

= 2x² - 4x + 2

And it is polynomial (it has more than 1 term)

Answer:

A. [tex]2x^{2} - 4x + 2[/tex] ; will be a polynomial

Step-by-step explanation:

(4x + 6) + (2x² - 8x - 4)

= 4x + 6 + 2x² - 8x - 4

= 2x² + (4x - 8x) + (6 - 4)

= 2x² - 4x + 2

Polynomial (it has more than 1 term)

Hope that help!

Answer:

x=3

Step-by-step explanation:

Secant-Secant Formula:  

(whole secant) x (external part) =         (whole secant) x (external part)

9*4 = 12*x

36 = 12x

Divide each side by 12

36/12 = 12x/12

3 =x

Answer:

12r^2        +r         -7

Step-by-step explanation:

9r^2 +4r -7 +3r^2 -3r

Combine like terms

9r^2 +3r^2 +4r -3r -7

12r^2        +r         -7

Answer:

(-10, 10) and (0,10).

Step-by-step explanation:

For a point to be a solution to the system of inequalities, you will need to see which of the points falls into the shaded area.

When we test out each of the points, we can see that only:

(-10, 10) and (0,10) fall into the blue-shaded area.

Answer:

-10,10 and 0,10

Step-by-step explanation:

alvs verified 100% correct

Answer:

The answer is: D.) subtraction property

Step-by-step explanation:

The missing reason in the algebraic equation is the Subtraction Property of Equality, which involves subtracting the same number from both sides of an equation to maintain equality.

The missing reason for the argument shown is the Subtraction Property of Equality.

When we go from the step 10x + 20 = 50 to 10x = 30, we are subtracting 20 from both sides of the equation. This property states that if you subtract the same number from both sides of an equation, the two sides remain equal.

Therefore, the complete series of steps with their corresponding properties is:

5(2x + 4) = 50 (Given)

10x + 20 = 50 (Distributive Property)

10x = 30 (Subtraction Property of Equality)

x = 3 (Division Property)

Answer:

[tex]x = 14.8[/tex]

Step-by-step explanation:

As these triangles are similar, every side and angle corresponds and this is key to calculating this equation.

First, look at the side that is labeled [tex]x + 8[/tex] and find the corresponding side on the other triangle. Write this out as a fraction as shown below. Now find two corresponding sides that are both marked (the base lines) and write them out as a fraction as well (note that which ever triangle you are solving for, it's numbers will go on the top of the fraction)

[tex]\frac{x + 8}{36} = \frac{38}{60}[/tex]

We want to get the [tex]x[/tex] by its self and at the moment it is divided by 36. To remove the 36, we need to multiply both sides of the equation by 36

36 x [tex]\frac{x + 8}{36} = \frac{38}{60}[/tex] x 36

This cancels out both the 36s on the left leaving us with

[tex]x + 8 = \frac{38}{60}[/tex] x 36

all that needs to happen now is to remove the +8 so we are just left with [tex]x[/tex]. to do this, just subtract 8 from both sides and we are left with

[tex]x = \frac{38}{60}[/tex] x 36 - 8

calculate 38 ÷ 60 x 36 - 8 = 14.8

∴ [tex]x = 14.8[/tex]

I hope this was helpful and not too long :-)

Answer:

The last graph

Step-by-step explanation:

In the first and third one the labels are switched. And the minutes should be on the x axis while the hours should be on the y axis.

The second one is incorrect because it literally says that 0 minutes= 0.5 hour

Answer:

A (the first graph on edge)

Step-by-step explanation:

Looking at the graph, we can see that the graph that has the line pass through (30, .5) is going to be the correct one.

Answer:

x = 8

DBC =  32

Step-by-step explanation:

The sum of the two smaller angles is the larger angle

23+4x = 55

Subtract 23 from each side

23+4x-23 =55-23

4x = 32

Divide each side by 4

4x/4 = 32/4

x = 8

Then we want to find DBC = 4x = 4*8 = 32

Answer:

1.) In 529 plan, Your account earns interest and you can contribute as much as you want. But Your investment options are limited and the money must be used for college

2.) While in money market account, the account pays higher interest than traditional savings accounts, but limited to writing no more than three checks a month. Some banks limit your cash withdrawals.

Step-by-step explanation:

Money market deposit accounts are better choices than 529 plan for money you might need to tap at a moment’s notice to cover an emergency or an unexpectedly large expense. They pay higher interest than ordinary savings accounts and give you immediate access to your money

While in 529 savings plan, If you don’t use the money invested for college tuition, you will be penalized 10 percent when you withdraw the money to use it for something else. In addition, both your state and the federal government will tax the earnings on your account in your current tax bracket.

Answer:

Scaling

Step-by-step explanation:

Scaling was the type of transformation used on f(x), such that:

[tex]g (x) = 2 \cdot f(x)[/tex]

Answer: -7-4

Step-by-step explanation:

Answer A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

hope this helps!

This results in the total amount of 7/8 ounce of green paint used.

The amount of green paint that Candita used for drawing seven green lines on her painting can be represented by the expression 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8. Each 1/8 ounce of green paint is used for one green line, and she draws a total of 7 green lines. So, we simply add up seven times the fraction 1/8.

The sum can be calculated as:

Which equals:

This is the total amount of paint she used to draw all the green lines.

Answer:

2.14 cm^3

Step-by-step explanation:

V = 4/3 pi r^3

V = 4/3 pi 0.512

V = 2.14

Using this formula, you just plug in your current values into a calculator and out comes the answer!

[tex]\frac{4}{3}[/tex]πr³

[tex]\frac{4}{3}[/tex]π(0.512)

^ (do 0.8³, which equals 0.512)

ANSWER: 2.14