How much money needs to be deposited now into an account to obtain $1,500 in 7 years if the interest rate is 5% per year compounded continuously?

Step-by-step explanation:

1. Combine Like Terms (Add):

[tex]5x+15+10x+7[/tex]

[tex]15x+22[/tex]

2. Use Distributive Property:

[tex]5(x+3)+2x+7[/tex]

[tex]5x+15+2x+7[/tex]

Combine Like Terms:

[tex]7x+22[/tex]

[tex]A=\pi r^2; r=3 =>\\\\A=\pi \times3^2\\A=9\pi[/tex]

Answer: [tex]9\pi[/tex]

Answer: Y= 1/2X+5

Step-by-step explanation: Equation of the line

The slope-intercept form of a line is given by:

Being:

m = the slope of the line

b = the y-intercept

We can also use the point-slope form of the line:

Being:

(h,k) = A point that belongs to the line

Two lines of slopes m1 and m2 are perpendicular if:

We are given the line:

Whose slope is m1=-2

Thus, the perpendicular line has a slope of:

The required line contains the point (-8,1), thus the equation is:

Removing the parentheses:

Adding 1:

Operating:

Answer:9.9

Step-by-step explanation:

Add up the scores and dividing the total by the number of scores.

Answer:

9.9

Step-by-step explanation:

12+10+12+14+8+15+8+9+6+5 =99

99÷10=9.9

Excel formulas are expressions used to perform computation.

From the complete question, cell B21 represents base work hour

So, we start by checking if the work hour in cell D5 is less than the base work hour in cell B21

If yes, the work hour remains D5; otherwise the work hour is cell B21

The work hour is then multiplied by the rate in cell C5

Hence, the Excel formula to enter in cell E5 is =IF(D5<$B$21,D5,$B$21) *

Here, we start by checking if the work hour in cell D5 is greater than the base work hour in cell B21

If yes, the overtime hour the difference between D5 and B21; otherwise the overtime hour and pay is 0

The over time hour if there is, is then multiplied by the rates in cells C5 and B22

Hence, the Excel formula to enter in cell E5 is =IF(D5>$B$21,(D5-$B$21) * C5 * $B$22, 0)

Read more about Excel formulas at:

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Answer:

210 cm³

Step-by-step explanation:

volume = W x L x H

(where W = width, L = length and H = height)

By inspection of the diagram,

W = 6 cm

L = 7 cm

H = 5 cm

Therefore, volume = 6 x 7 x 5 = 210 cm³

Answer:

210 cm³

Work:

6×7=42

42×5=210

Step-by-step explanation:

When finding volume of a cube or rectangular prism you do the same thing as when you find the area of a square or rectangle, which is multiply the dimensions.

We see it is 7 cubes long, 6 cubes wide, and 5 cubes tall. To find the volume multiply all of these values together.

7×6×5=210

So, the volume of the prism is 210 cubes. Sense each cube is 1 cm³ the answer to the problem is 210 cm³

Hi! I will help you with a smile!

First of all, we have the slope of the line and a point that it passes through.

Let’s write the line’s equation in Point-Slope Form:

y-y1=m(x-x1)

Where

y1 is the y-coordinate of the point, m is the slope of the line, and x1 is the x-coordinate.

In this case, y1=-4, m=-6, and x1=3

Solve:

y-(-4)=-6(x-3)

y+4=-6x+18

y=-6x+18-4

y=-6x+14 (Answer)

Hope it helps.

Do comment if you have any query regarding my answer.

Answered by

PeacefulNature :-)

Answer:

y = -6x+14

Step-by-step explanation:

m = -6 ,given as x an y (3,-4)

solution y-y1 = m(x-x1)

y-(-4) = -6(x-3)

y+4 = -6x+18

then y = -6x+18-4

y = -6x+14

Answer:

x - y =9

x^2 + y^2 = 125

2^2 + 11^2 = 125

11-2 = 9

Thus, the two numbers are 2 & 11.

Hope this helps!

Answer:

1. Paul has mixed up the translation of the ordered pair.

New location: (1, 5)

2. Option C :  E = (3, 2)  F = (8, 4)  G = (5, 7)

Step-by-step explanation:

An ordered pair is a pair of numbers, (x,y) , written in a particular order.

It is often used to represent a point on a coordinate plane.

1.  From inspection of the diagram, the market is located at (3, 8)

Paul's mistake is that he has mixed up the translation of the ordered pair.  He has moved the market 3 to the left and 2 units down instead of the required 2 to the left and 3 units down.

The correct ordered pair for the new location of the market is (1, 5)

2. For each coordinate point (x, y), the first number is the x-coordinate (along the x-axis) and the second number is the y-coordinate (along the y-axis).  

E = (3, 2)

F = (8, 4)

G = (5, 7)

Answer:

The answer is 6/7

Step-by-step explanation:

Answer:

70 s

Step-by-step explanation:

24 L = 20s

84 L = 20×84/ 24

= 70 s

Answer:

c = 8

Step-by-step explanation:

Solve for C

3 + c = 11.    subtract 3 from both sides

c = 8

Answer:

8

Step-by-step explanation:

3+c = 11

c = 11-3

c=8

Functions can be modeled by equations, tables and graphs

From the question, we have the following ordered pairs

(x,y) = (0,1) and (4,2)

The function is a linear function.

So, we start by calculating the slope (m) using:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

Substitute known values

[tex]m = \frac{2 - 1}{4 - 0}[/tex]

[tex]m = \frac{1}{4}[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) +y_1[/tex]

This gives

[tex]y = \frac 14(x -0) +1[/tex]

[tex]y = \frac 14x +1[/tex]

The domain of the above function is the set of whole numbers

Substitute 10 for x, to calculate the number of box office gross for week 10

[tex]y = \frac 14 * 10 +1[/tex]

[tex]y = 3.5[/tex]

Approximate

[tex]y = 4[/tex]

Hence, the company should expect 4 box office gross in week 10

Read more about linear functions at:

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Answer:

F=40h+25

a) 40 per hour

b) 25

c) hours

d) how much it costs

Answer:

I know that I saw that on social

Answer:

71.4

Step-by-step explanation:

add all together and divide by the number of players.

Answer:

[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)\rightarrow(-4,-4)[/tex] and [tex](x_2,y_2)\rightarow(2,4)[/tex]:

Determine slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{4-(-4)}{2-(-4)}\\ \\m=\frac{4+4}{2+4}\\ \\m=\frac{8}{6}\\ \\m=\frac{4}{3}[/tex]

Use either coordinate point to find "b", the y-intercept

[tex]y=mx+b\\\\4=\frac{4}{3}(2)+b\\ \\4=\frac{8}{3}+b\\ \\\frac{4}{3}=b[/tex]

Final Equation

[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]

It can be seen that the value of the mean computed will be 91.9 miles.

A mean simply means the average of a set of numbers. In this case, there are 11 rainbows and thete are total of 1,011 miles.

Therefore, the mean of the numbers will be:

= 1011/11

= 91.9 miles.

In conclusion, the correct option is 91.9 miles.

Learn more about mean on:

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Answer:

A. is 0

B. is -30

C. is 0

Step-by-step explanation:

Hope this helps!

The correct answers are:

We are asked to combine the magic number -15 with the given statements.

Hence, if we combine the magic number with the given statements, we would have:

a. -15 + 15 = 0

b. -15 + (-15)= -30.

c. -15 + 15 = 0.

Hence, the answers are 0, -30 and 0 respectively.

Read more about magic numbers here:

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Answer: The square is 32

Step-by-step explanation:

In - order to find the size of the square you must do width times height . . .

What is 4 x 8 ? 32

Answer:

B

Step-by-step explanation:

put both sides under square root.

x^2 + y^2 = 64

sqrt ( x^2 + y^2 ) = sqrt(64)

x + y = 8

r = 8.

[tex]\underline{r^2=x^2+y^2} \\\\\\ x^2+y^2=64\implies r^2=64\implies r=\sqrt{64}\implies r=8[/tex]

Answer:

we need to know the question

Step-by-step explanation:

Step-by-step explanation:

let's name the 2 sides of the bisected angle a and b.

and the 2 segments (created by the bisector) of the opposite side x and y.

then we have

a/b = x/y

question 1

14/21 = x/15

1/3 = x/15

15/3 = x = 5

question 2

8/y = 4/6

8×6 = 4y

48 = 4y

y = 12

question 3

3/4.5 = z/1.5

3×1.5 = 4.5z

4.5 = 4.5z

z = 1

question 4

16.5/p = 11/(29-11) = 11/18

16.5×18 = 11p

297 = 11p

p = 27

question 5

7/13 = (15-x)/x

7x = 13×(15-x) = 195 - 13x

20x = 195

x = 195/20 = 39/4 = 9.75

The area of the triangle can be found by copying the triangle and putting the bases together such that it forms the diagonals of the triangle.

The area of the triangle is half the product of the height of the triangle and the base of the triangle.

As we know that the area of a rectangle is double the area of a triangle,

therefore, in order to calculate the area of a triangle we need to convert it to a rectangle and then divide the area of the rectangle by 2.

Also, we know that the diagonal of a rectangle divides it into two equal triangles, therefore, we will put the triangle along the diagonal of the base.

Thus, to find the area of the triangle we will copy the triangle and put the base of the together such that it forms the diagonals of the triangle.

Since the triangles are put on each other along the base, therefore, the height(h) of the triangle will be the length of the rectangle, and the breadth of the triangle will be equal to the base of the triangle(b).

Learn more about Area of Triangle:

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Ai need help please 43

Step-by-step explanation:

please just need help

Answer:

198.6

Step-by-step explanation:

see pic

Answer:

9.54ft

Step-by-step explanation:

This problem uses pythagoras theorem as the ladder and the wall make a triangle.

A

B                    C

Points A, B and C represent this problem. BC is 3ft, AC is 10ft and AB is x, now we sub this information into pythagoras theorem formula

3^2+b^2=10^2

Rearranged this is,

b^2=10^2-3^2

b^2=91

b=[tex]\sqrt{91}[/tex]

b=9.54

The above is rounded to two decimal places

Step-by-step explanation:

just u have to put the values of sin and cos and you will get the answer

hope u get help

Answer:

40 percent

Step-by-step explanation:

22/55 = 0.4

0.4 = 40%

check answer: 55 x 0.4 = 22