A corporation worth 40 million is expected to grow 8% per year compounded annually for 5 years. (A) find the future value to the nearest million. (B)

Answer:

24 chairs in the 8th row

Step-by-step explanation:

row 1 = 10 chairs

row 2 = 12 chairs

row 3 = 14 chairs

row 4 = 16 chairs

row 5 = 18 chairs

row 6 = 20 chairs

row 7 = 22 chairs

row 8 = 24 chairs

If A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more chairs than the previous row. If the first row has 10 chairs then  8th row has 24 chairs.

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The first row has 10 seats,

Each row has 2 more chairs than the previous row.

10,12,14.....

a=10,d=2,n=8

The nth term of Arithmetic sequence is aₙ=a+(n-1)d

an equal to a plus n minus one times of d

a₈=10+(8-1)2

=10+7(2)

=10+14

=24

Hence If the first row has 10 chairs, then the 8th row has 24 chairs.

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Answer:

75

Step-by-step explanation:

120 ÷ 1.6 = 75 since 1.6 kilometer per hour is 1 mile, the car travels 75 miles per hours

Answer:

The car travels 75 miles per hour

Step-by-step explanation:

Units of Length

The most common units of distance are millimeters, centimeters, meters, miles, and kilometers.

The equivalence from miles to kilometers is:

1 mile = 1.6 Kilometers

If we wanted to convert a given distance from kilometers to miles, we'd need to divide by 1.6,  that is:

d(miles) = d(km)/1.6

The above equation can be used to find the number of miles given the number of kilometers.

If a car travels at 120 kilometers per hour, then in one hour it travels

d(km)=120

Thus, the distance in miles is:

d(miles) = 120/1.6 = 75

The car travels 75 miles per hour

Answer:

it's switching around the numbers

Step-by-step explanation:

i think its switching the numbers around to confuse you a little bit but yeah.

Answer:

m=3

Step-by-step explanation:

[tex]From\ the\ graph\ we\ observe\ that,\ \\Co-ordinate pair of Point 1 = (x_1,y_1) = (2,1)\\Hence,\\x_1=2, y_1=1\\Co-ordinate pair of Point 2 = (x_2,y_2) = (3,4)\\Hence,\\x_2=3, y_2=4\\Hence,\\We\ know\ that,\\\frac{Rise(y)}{Run(x)} =m\\m=\frac{y_2-y_1}{x_2-x_1 } \\m=\frac{4-1}{3-2}\\m=3[/tex]

Answer:

c

Step-by-step explanation:

Correct Answer is :

D.) 11 is correct

Answer:B

Step-by-step explanation:

Answer:

216 square meters

Step-by-step explanation:

The lateral area of the triangular prism = the area of the 3 rectangular faces

The 3 rectangular faces have the same length and width. Therefore:

The lateral area of the triangular prism = 3(length*width)

= 3(12*6)

= 216 m²

Answer:

Step-by-step explanation:

Graph of its table of solutions or points:

x    f(x)    point

---   ------ ---------  

0    f(0)  (0, f(0)

1     f(1)   (1, f(1) )

and so on

Answer:

(◕‿◕✿) (◠﹏◠✿) ôヮô ┌( ಠ‿ಠ)┘ v(⌒o⌒)v♪

‎(●´ω｀●)

Answer:

D

Step-by-step explanation:

-(-9) is a double negative, meaning when simplified it is -5+9, which is 4, and D had the same answer. A comes out to 0, B is just No, C is 6, and D is 4

(-1, -2), (-2, -1) and (2, -4) are solutions to the inequality

The given inequality is:

-x - 2y  >  3

To know which of the points given as options are the solutions to the given inequality, substitute the given points into -x - 2y, anyone that gives a result greater than 3 is a solution to the inequality

For (-1, -2)

Substitute x = -1, and y = -2 into -x - 2y

-(-1) - 2(-2)

= 1 + 4

= 5

Since 5 > 3, (-1, -2) is a solution to the inequality

For (1, -2)

Substitute x = 1, and y = -2 into -x - 2y

-(1) - 2(-2)

= -1 + 4

= 3

Since the result is not greater than 3, (1, -2) is not a solution to the inequality

For (-2, -1)

Substitute x = -2, and y = -1 into -x - 2y

-(-2) - 2(-1)

= 2 + 2

= 4

Since  4 > 3, (-2, -1) is a solution to the inequality

For (2, -4)

Substitute x = 2, and y = -4 into -x - 2y

-(2) - 2(-4)

= -2 + 8

= 6

Since   6 > 3, (2, -4) is a solution to the inequality

Therefore, (-1, -2), (-2, -1), and (2, -4) are solutions to the inequality

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Answer:

$51.63

Step-by-step explanation:

8.75x + 3.50y

x=5.5     y=1

(8.75x5.5) + (3.50x1)

=51.625

=$51.63

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Answer:

60

Step-by-step explanation:

43+35= 78 and 180-78=102, so both angles at E are 102, and then you add 18 to get 120 and 180-120= 60.

Answer:

0.01

Is what you get when converting 1/100 into a decimal.

The baby gains 3.25lbs in the last 4 months.

This problem can be solved by simple subtraction. Take the total amount and subtract the 4 month increments in order to find the find 4 months.

Total = 1st 4 months + 2nd 4 months + 3rd 4 months

11 = 4.25 + 3.5 + 3rd 4 months

11 = 7.75 + 3rd 4 months

3.25 = 3rd 4 months

Answer:

1. [tex]y = 3x[/tex]

2. [tex]y = -\frac{2}{3}x + 1[/tex]

3. [tex]y = -\frac{2}{3}x - 4[/tex]

4. [tex]y = 4[/tex]

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

6. [tex]y= \frac{5}{2}x[/tex]

7. [tex]y = -7x -16[/tex]

8. [tex]y = x + 4[/tex]

Step-by-step explanation:

The steps to solving these questions involve

1. Calculate slope using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

2. Calculate the line equation using point slope formula: [tex]y - y_1 = m(x - x_1)[/tex]

We'll apply the steps above in solving 1 through 8

Solving (1):

When x = 0; y = 0

When x = 1; y = 3

i.e.

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (1,3)[/tex]

Calculate slope:

[tex]m=\frac{3 - 0}{1 - 0}[/tex]

[tex]m=\frac{3 }{1 }[/tex]

[tex]m = 3[/tex]

Next, we calculate the equation

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

Where:

[tex](x_1,y_1) = (0,0)[/tex] and [tex]m = 3[/tex]

[tex]y - 0 = 3(x - 0)[/tex]

[tex]y = 3x[/tex]

Solving (2):

When x = 0; y = 1

When x = 3; y = -1

i.e.

[tex](x_1,y_1) = (0,1)[/tex]

[tex](x_2,y_2) = (3,-1)[/tex]

Calculate slope:

[tex]m=\frac{-1 - 1}{3 - 0}[/tex]

[tex]m= -\frac{2}{3}[/tex]

Next, we calculate the equation

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

Where:

[tex](x_1,y_1) = (0,1)[/tex] and [tex]m= -\frac{2}{3}[/tex]

[tex]y - 1 = -\frac{2}{3}(x - 0)[/tex]

[tex]y - 1 = -\frac{2}{3}(x)[/tex]

[tex]y - 1 = -\frac{2}{3}x[/tex]

[tex]y = -\frac{2}{3}x + 1[/tex]

Solving (3):

When x = 0; y = -4

When x = -3; y = -2

i.e.

[tex](x_1,y_1) = (0,-4)[/tex]

[tex](x_2,y_2) = (-3,-2)[/tex]

Calculate slope:

[tex]m=\frac{-2 - (-4)}{-3 - 0}[/tex]

[tex]m=\frac{-2 +4}{-3 - 0}[/tex]

[tex]m=\frac{2}{-3}[/tex]

[tex]m=-\frac{2}{3}[/tex]

Next, we calculate the equation

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

Where:

[tex](x_1,y_1) = (0,-4)[/tex] and [tex]m= -\frac{2}{3}[/tex]

[tex]y - (-4) = -\frac{2}{3}(x - 0)[/tex]

[tex]y +4 = -\frac{2}{3}(x)[/tex]

[tex]y +4 = -\frac{2}{3}x[/tex]

[tex]y = -\frac{2}{3}x - 4[/tex]

Solving (4):

When x = 0; y = 4

When x = 4; y = 4

i.e.

[tex](x_1,y_1) = (0,4)[/tex]

[tex](x_2,y_2) = (4,4)[/tex]

Calculate slope:

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

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

[tex]m = 0[/tex]

Next, we calculate the equation

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

Where:

[tex](x_1,y_1) = (0,4)[/tex] and [tex]m = 0[/tex]

[tex]y - 4 = 0(x - 0)[/tex]

[tex]y - 4 = 0[/tex]

[tex]y = 4[/tex]

Solving (5):

When x = -4; y = 1

When x = -1; y = 4

i.e.

[tex](x_1,y_1) = (-4,1)[/tex]

[tex](x_2,y_2) = (-1,4)[/tex]

Calculate slope:

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

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

[tex]m=\frac{3}{3)}[/tex]

[tex]m = 1[/tex]

Next, we calculate the equation

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

Where:

[tex](x_1,y_1) = (-4,1)[/tex] and [tex]m = 1[/tex]

[tex]y - 1 = 1(x - (-4))[/tex]

[tex]y - 1 = 1(x +4)[/tex]

[tex]y - 1 = x +4[/tex]

[tex]y = x +4 + 1[/tex]

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

Solving (6):

When x = 0; y = 0

When x = 2; y = 5

i.e.

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (2,5)[/tex]

Calculate slope:

[tex]m=\frac{5 - 0}{2 - 0}[/tex]

[tex]m=\frac{5 }{2 }[/tex]

Next, we calculate the equation

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

Where:

[tex](x_1,y_1) = (0,0)[/tex] and [tex]m=\frac{5 }{2 }[/tex]

[tex]y - 0 = \frac{5}{2}(x - 0)[/tex]

[tex]y - 0 = \frac{5}{2}(x)[/tex]

[tex]y= \frac{5}{2}x[/tex]

Solving (7):

When x = -2; y = -2

When x = 2; y = 5

i.e.

[tex](x_1,y_1) = (-2,-2)[/tex]

[tex](x_2,y_2) = (-3,-5)[/tex]

Calculate slope:

[tex]m=\frac{5 - (-2)}{-3 - (-2)}[/tex]

[tex]m=\frac{5 +2}{-3 +2}[/tex]

[tex]m=\frac{7}{-1}[/tex]

[tex]m =-7[/tex]

Next, we calculate the equation

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

Where:

[tex](x_1,y_1) = (-2,-2)[/tex] and [tex]m =-7[/tex]

[tex]y - (-2) = -7(x - (-2))[/tex]

[tex]y +2 = -7(x +2)[/tex]

[tex]y +2 = -7x -14[/tex]

[tex]y = -7x -14 - 2[/tex]

[tex]y = -7x -16[/tex]

Solving (8):

When x = -3; y = 1

When x = 0; y = 4

i.e.

[tex](x_1,y_1) = (-3,1)[/tex]

[tex](x_2,y_2) = (0,4)[/tex]

Calculate slope:

[tex]m = \frac{4 - 1}{0 - (-3)}[/tex]

[tex]m = \frac{4 - 1}{0 +3}[/tex]

[tex]m = \frac{3}{3}[/tex]

[tex]m = 1[/tex]

Next, we calculate the equation

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

Where:

[tex](x_1,y_1) = (-3,1)[/tex] and [tex]m = 1[/tex]

[tex]y - 1 = 1(x - (-3))[/tex]

[tex]y - 1 = 1(x +3)[/tex]

[tex]y - 1 = x +3[/tex]

[tex]y = x + 3 + 1[/tex]

[tex]y = x + 4[/tex]

Answer:

y=5441t+123,000

Step-by-step explanation:

5441 is the population increase per year and 123,000 is when we start added the population increase. to get this equation i found the population increase between 2007 and 1990 which is 215,500-123,000 which is 92,500. to find the population increase per year you divide that by 17 which is the difference between 2007 and 1990 and you would get 5441.176. but since you can have part of a person i rounded it to 5441.

Answer: y=5441t+123000

We know the population was 215500 in 2007

We also know the population was about 123000 in 1990

So first we want to find the slope (m=y2-y1/x2-x1), we subtract those two numbers 215500-123000 and subtract 2007-19990. Leaving us with 92500/17, once you divide that you’ll get 5441.17647 . But since we are talking about people you round to the nearest whole number leaving us with 5441.

Answer:

Written in Python

def sums(n):

    total = 0

    for i in range(1,n+1):

         if i%2 == 0:

              total = total + i*2

         else:

              total = total + i

    return(total)

Step-by-step explanation:

The function is written in Python

def sums(n):

This initializes total to 0

    total = 0

This iterates through the integers that makes up n i.e. 1,2,3.....n

    for i in range(1,n+1):

This checks if current digit is even

         if i%2 == 0:

If yes, it adds the double of the digit

              total = total + i*2

         else:

If otherwise, it adds the digit

              total = total + i

This prints the calculated sum or total

    return(total)

To call the function from main, use the following:

print(sums(n))

Where n is a positive integer. i.e. [tex]n \geq 1[/tex]

Answer: WHAT ARE THESE IMAO

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lol

The value of the impulse will be 30 Newton-second. And the value of the momentum will be 30 kg-m/s.

A strong and ignorant passion or drive to act is known as an impulse.

A traveling body's momentum is measured as the combination of its mass and velocity.

A 6.00 N force acts for 5.00 seconds on a 1.50 kg mass.

Then the impulse is given as

Impulse = Force x Time

Impulse = 6 x 5

Impulse = 30 N-sec

Then the value of the momentum will be

P = m x dv

We know

F = ma

6 = 1.5a

a = 4 m/s²

Then the velocity will be

dv = a x t

dv = 4 x 5

dv = 20 m/s

Then the momentum will be

P = 1.5 x 20

P = 30 kg-m/s

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Answer:

Every combination of atoms is a molecule. A compound is a molecule made of atoms from different elements. All compounds are molecules, but not all molecules are compounds. Hydrogen gas (H2) is a molecule, but not a compound because it is made of only one element.

Step-by-step explanation:

Answer

Every combination of atoms is a molecule. A compound is a molecule made of atoms from different elements. All compounds are molecules, but not all molecules are compounds.  For example : Hydrogen gas (H2) is a molecule, but not a compound because it is made of only one element.

Hope that helps :)

Answer:

Im sorry i do not seem to be able to see the image

Step-by-step explanation:

Answer:

√65

Step-by-step explanation:

We know that √64 is 8

So, the square root of the number closest to 64 in the list will be the closest to 8

In the List, √62 = √(64-2)       [difference of 2]

√65 = √(64 + 1)                       [difference of 1]

Since √65 has the least difference from √64, we can say that √65 will be the closest to 8 in the given list