Find the volume of the
triangular prism.
3.6 cm
5.4 cm
9 cm

Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.

According to this question, the person have decided to invest money to receive a monthly payment, meaning no savings and the adequacy of using the simple interest formula:

g = C · (r/100)     (1)

Where:

If we know that g = 1500 and r = 3.1/12, then the invested money must be:

C = 100 · g/r

C = 100 · [1500/(3.1/12)]

C = 580645.16

Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.

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Answer:

I think Option C is the correct answer

I think it will help you.

Answer:

10

Step-by-step explanation: The sum of 3+7 is 10

Answer:

10

Step-by-step explanation:

3+7 is 10

if you add 1 on to 7 three times, we get

8,9,10

(i know this is a troll question lol)

hope this helps!

give brainliest :)

The slope of the line is the negative 4/3 and y-intercept will be the negative 1.

The correct equation is given below.

−4x − 3y = 3

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line will be

−4x − 3y = 3

Then the equation of a line can be written as

4x + 3y = −3

       3y = −4x − 3

         y = −(4/3)x − 1

Then the slope of the line is the negative 4/3 and y-intercept will be the negative 1.

The graph is given below.

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Answer:

No, right answer is = 1017.36

Answer:

1017.36

Step-by-step explanation:

All your work is correct, but the final answer is not. In the problem it says to use 3.14 as pi, but when you multiplied you did:

[tex]\pi * 6^{2}*9 = 1017.88[/tex]

instead of

[tex]3.14*6^{2}*9 = 1017.36[/tex]

like you had written above. So the final is actually supposed to be 1017.36

Suppose that a sample is taken from a population whose mean value is 45,   the sample mean will approach

[tex]\mu=45[/tex]

Generally, the equation for the standard deviation is mathematically given as

Standard deviation sample mean  [tex]\mu = \frac{\sigma}{\sqrt{n}}[/tex]

Therefore, where a population whose mean value is 45 for any sample

size, Hence mean of the sample mean is

[tex]\mu = \=x[/tex]

[tex]\mu=45[/tex]

In conclusion, the value the sample mean approach is

[tex]\mu=45[/tex]

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Answer:

the fourth option is correct

Step-by-step explanation:

the first equation represents that the cost of 6 bananas is the same as the cost of nine apples. therefore, y is the cost of a single banana and x is the cost of a single apple. the second equation represents the situation of you buying 4 bananas and 2 apples for $8. If x and y represent the cost of each fruit, then the point (x,y) = (1,1.5) means that x, the cost of an apple, is $1.00 and that y, the cost of a banana, is $1.50.

Answer:

The answer is c

Step-by-step explanation:

one add the numbers 108 & 96=204

then add the numbers from c which is 30+30=60 43+43=86 29+29=58

then add 60+86+58 which will be 204 so c is the answer your welcome

come

Answer:

dividing a company's yearly accounts receivable balance by its yearly total net sales

The number of laps that Swimmer A swam was 50 laps.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Let we suppose that:

Swimmer A swam x laps

Swimmer B swam y laps.

Then, according to the given data, we have:

x    +    y   =   175   laps

y    =   25   +  2x  

(25 more than twice of laps of A is the number of laps of B).

Thus, we get a system of two equations:

x   +   25  +  2x  =   175

3x   +  25    =   175

3x   =   175  -  25  =  150

x   =   50

As x is the number of laps Swimmer A swam, thus, the number of laps that Swimmer A swam was 50 laps.

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Answer:

6:5

Step-by-step explanation:

Answer: -2

Step-by-step explanation: The answer is -2 because -1 x 8 = -8, and -8 x 4 = -32. Because multiplying two negatives cancels out and becomes positive, we can apply this same principle and figure out that -32 x -2 would give us positive 64. Hope this helps!

Answer:

Step-by-step explanation:

Answer:

it’s C, 5.2

hope i helped

ur wlcm :)

correct me if im wrong

Answer:

In order for each child to receive a book, first distribute one book to each.

This can be done in [math] 5\times 4\times 3 = 60 [/math] ways.

The remaining two books can be distributed in [math] 3^2 [/math] ways.

Total number of ways[math] = 60 \ times 9 = 540 [/ math]

The number of hours Nick took to reach the shopping mall in terms of r  is ; 3.14  hours.

Rate is a measure of a quantity using another quantity as the basis.

Analysis:

speed travelling on foot = r

distance travelled on foot = 5 miles

time taken = 5/r

speed travelling on bicycle 80 percent faster than on foot is 1.8r

distance travelled on bicycle = 8 miles

time taken = 8/1.8r = 40/9r

total time taken to get to the mall = 5/r + 40/9r = 85/9r

speed while walking = 3 miles per hour = r

time taken = 85/9 x 3 = 3.14 hours

In conclusion, number of hours Nick took to reach the shopping mall in terms of r is 85/9r is 3.14  hours.

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Answer:

3 hours 9 minutes

Answer:

about 127.28 feet

Step-by-step explanation:

The length of the hypotenuse of a right triangle with a base and a height of 90 feet each.

root (90)^2 + (90)^2

Answer:

Total people = 240

Step-by-step explanation:

Let the total number of people by 'x'.

[tex]\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\[/tex]

[tex]\sf \text{Number of women =$\dfrac{1}{3}x$}[/tex]

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

[tex]\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\[/tex]

      [tex]x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\ \dfrac{5}{12}x=100\\[/tex]

          [tex]\sf x = 100*\dfrac{12}{5}\\[/tex]

          x = 20 * 12

          x = 240

Answer:

315

Step-by-step explanation:

The number is divisible by 3,5,7 and 9. Since 3 is a factor of 9, this number is divisible by 5,7, and 9.

5x7x9= 315.

Answer:

The answer should be D.

The axis on a graph that shows the dependent variable is the: vertical or y-axis.

The dependent variable is the variable that is affected by an independent variable. That is, a change in the independent variable, causes the dependent variable to change.

On a graph, the dependent variable (outcome) is usually plotted on the y-axis (vertical axis).

Thus, the axis that shows the dependent variable is the vertical or y-axis.

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#1

Volume

#2

Radius=10/2=5cm

Volume

#3

Volume

#4

#5

radius=8/2=4

Volume

Answer:

1)  314 cm³

2)  523.33 cm³

3)  87.92 in³

4)  11 cm

5)  502.4 cm³

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 5^2 \cdot 4\\& = 3.14 \cdot 25 \cdot 4\\& = 3.14 \cdot 100\\& = 314 \: \sf cm^3\end{aligned}[/tex]

[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3\quad\textsf{(where r is the radius)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =\dfrac{4}{3} \cdot 3.14 \cdot 5^3 \\& =\dfrac{4}{3} \cdot 3.14 \cdot 125 \\& =\dfrac{500}{3} \cdot 3.14 \\& = 523.33\: \sf cm^3\:(2\:dp)\end{aligned}[/tex]

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 2^2 \cdot 7\\& = 3.14 \cdot 4 \cdot 7\\& = 3.14 \cdot 28\\& = 87.92\: \sf in^3\end{aligned}[/tex]

[tex]\textsf{Volume of a square pyramid}=\sf \dfrac{1}{3} a^2h \quad\textsf{(where a is the base edge and h is the height)}[/tex][tex]\textsf{Area of base of square pyramid}=\sf a^2 \quad\textsf{(where a is the base edge)}[/tex]

Given:

[tex]\implies 81=a^2[/tex]

[tex]\implies a=\sqrt{81}[/tex]

[tex]\implies a=9\: \sf cm[/tex]

Substitute the given values into the formula and solve for h:

[tex]\begin{aligned}\implies \textsf{297} & =\dfrac{1}{3} \cdot 9^2 \cdot h\\\\297 & =\dfrac{81}{3} h\\\\891 & =81 h\\\\h & = 11 \: \sf cm\end{aligned}[/tex]

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 4^2 \cdot 10\\& = 3.14 \cdot 16 \cdot 10\\& = 3.14 \cdot 160\\& = 502.4\: \sf cm^3\end{aligned}[/tex]

Answer:

z = 30

Step-by-step explanation:

All angles of a triangle add up to 180:

z + 120 + 30 = 180

z + 150 = 180

z = 180 - 150

z = 30

Answer:

y = - x

Step-by-step explanation:

From the given table:-

( x_1,x_2): (5,-5)

( y_1,y_2): (6,-6)

1) Let's find the slope (m):-

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{ - 6( - 5)}{6 - 5} = \frac{ - 6 + 5}{1} = \frac{ - 1}{1} = - 1[/tex]

2) Substitute x_1= 5, y_1=-5 and m=-1 into y-y_1=m(x-x_1)

[tex]y - ( - 5) = - 1(x - 5)[/tex]

[tex]y + 5 = - x + 5[/tex]

[tex]y = - x + 5 - 5[/tex]

[tex]y = - x[/tex]

Answer:

Its Option C.

Step-by-step explanation:

I took this quiz and got this correct, atleast I think...??

Answer:

I would say A is the answer.

The table that represents an exponential function of the form y = [tex]b^{x}[/tex] when 0 < b < 1 is Table - 2. See the attached tables.

A function is exponential when its value is a constant that is raised to the power of the argument. This is so especially when the function of the constant is e.

Recall that the exponential function y = [tex]b^{x}[/tex] given that 0 < b < 1. Notice that the table number 2 see to the exponential function that has the following form:

y(x) = (1/3)ˣ

substituting the values of x into the equation, we have:

y(-3) = (1/3) ⁻³ = 27

x = -2; thus

y(-2) =  (1/3) ⁻³ = 9

x = -1; thus

y(-1) =  (1/3) ⁻³ = 3

x = 0; thus

y(0) =  (1/3) ⁻⁰ = 1

x = 1; thus

y(1) =  (1/3) ¹ = 1/3

x = 2; thus

y(2) =  (1/3) ⁻² = 1/9

x = 3; thus

y(3) =  (1/3) ⁻³ = 1/27

Therefore, according to the obtained values, one can summarize that the table that depicts the exponential function y  = bˣ is table 2.

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When we solve the equation, we will get the real answer x=40 as a variable.

First degree equation is a mathematical sentence, which has values represented by letters.

These letters can indicate a variable or an unknown - which at the end of the equation will be the final value.

— To solve this equation, just: apply the distributive property (multiply the terms that are outside the parentheses, for the terms that are inside the symbol).

— Next, let's add the real numbers together. Next, we'll subtract the like terms before the equality, thus moving the common term after the equality by adding.

— Finally, let's divide the equation, thus obtaining the final result.

4 + 3(x + 22) = 5x - 10

4 + 3x + 66 = 5x - 10

70 + 3x = 5x - 10

3x - 5x = -10 - 70

-2x = -80

x = 80 ÷ 2

x = 40

Therefore, the correct value of X in this equation, will be x = 40.

To solve the theorem, we will  take the square of the longest side of a right triangle and equate to the sum of the squares of the other two sides

Pythagoras theorem states that the square of the longest side of a right triangle is equal to the sum of the squares of the other two sides

For instance, let;

According to the theorem above, mathematically;

c² = a² + b²

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