If you invested $1,000 in an account
paying an annual percentage rate of
2.5%, compounded continuously, how
much would you have in you account
at the end of 10 years and 20 years?

Answer:

1. c=1

2.y=2

3.a=4

4. m=10

5. x=2

6. q=11

7.n=39

8. r=17

9. t=14

10. p=5

Step-by-step explanation:

1. 9c=9

c=1

2. 6y=12

y=2

3. 3a=12

a=4

4. m/5=2

m=10

5. 7x=14

x=2

6. -q=-11

q=11

7. n-31=8

n=39

8. 2r=34

r=17

9. 3t=42

t=14

10. 4p=20

p=5

9514 1404 393

Answer:

  a) 25 yards per minute

  b) linear velocity is the same

  c) smaller tire has greater angular velocity

Step-by-step explanation:

a) The linear velocity of the edge of the tire is the same as the linear velocity of the tractor: (100 yd)/(4 min) = 25 yd/min

__

b) All parts of the tractor have the same linear velocity. The outer edge of the smaller tire is moving at the same linear velocity.

__

c) Because the smaller tire must make more turns to cover the same distance in the same time, its angular velocity (turns/time) is greater.

The smaller tire has greater angular velocity.

Answer:

a. If a polygon is a rectangle, then it is a square

False

b. If a polygon has four 90 degree angles, then it is a rectangle

True

c. If the formula for a shape's area is base time height, it is a rectangle

False

Answer: 11.82 kilometers

Step-by-step explanation:

Question is:

How many kilometers is Luis's journey in total?

Luis travelled 6.37 kilometers by train. He also travels 5.45 kilometers by car.

The total travelled is therefore:

= 6.37 + 5.45

= 11.82 kilometers

Answer:

11.82

Step-by-step explanation:

Answer:

1: y = 6/5x + 3

Step-by-step explanation:

I am just guessing I am not completely sure on this answer but I hope it helps.

Answer:

A

Step-by-step explanation:

Answer:

5. x = 8

8. x = 52

9. a) x/300 = 7/15

9. b) 140

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D) 8x²-172x+120

Step-by-step explanation:

Length=2(-2x+20)+6

Width=-2x+20

(-4x+40+6)(-2x+20)

(-4x+46)(-2x+20)

8x²-80x-92x+920

8x²-172x+920

Answer:

Mrs.Cooper will have 11160.00 after 6 years

Answer:

A does not belong

Step-by-step explanation:

A does not belong because it is the only option with parallel lines. All other answer options have lines that intersect with eachother.

Answer:

The answer that they're looking for is A. The first set doesn't belong because it's the only one in which the lines are parallel.

However, one could argue that none of the others belong;

B is the only one with two lines instead of 3

C is the only one with three lines converging at the same point.

D is the only one with more than one point of intersection

But it is pretty clear that the answer sought is A. It's the only one with parallel lines.

Answer:

21 & 23

Step-by-step explanation:

44 ÷ 2 = 22

The two numbers are going to be close to 22.

21 + 23 = 44

32 - 21 = 2

Answer:

You can try to write two equation from the question

Call x a number and y the other.

The sum of them is 44: x + y = 44

The difference (substract) is 2: x - y = 2

System:

x+y=44

x-y = 2

You can just sum both equations, as the y disappear:

2x = 46

x =46/ 2 = 23

We replace in the equation:

23 - y = 2

y = 21

And we know the numbers are 21 and 23

Answer:

The y -intercept is a point of a graph. The y -intercept is  of a graph is the point where the graph crosses the y -axis. The y -intercept is often referred to with just the y -value.

Answer:

Step-by-step explanation:

surface area=2[(12+6)/2×4]+(5+6+5+12)×3

=2[9×4]+28×3

=72+84

=156 in²

Answer:

AB= 8.1

AB=7.8

Step-by-step explanation:

[tex]ab = \sqrt{ {(8 - 1)}^{2} + {(6 - 2)}^{2} } [/tex]

[tex] = \sqrt{ {7}^{2} + {4}^{2} } = \sqrt{49 + 16} [/tex]

[tex] = \sqrt{65} = 8.1[/tex]

[tex]ab = \sqrt{ {(6 - 1)}^{2} + {(2 - 8)}^{2} } [/tex]

[tex]= \sqrt{ {5}^{2} + { ( - 6)}^{2} } = \sqrt{25 + 36} [/tex]

[tex] = \sqrt{61} = 7.8[/tex]

Answer:

183.91

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

Since its a hexagon the interior angles equal to 720 degrees.

Because (n-2)180 equals the number of sides. So, (6-2)180 = 720.

Now for x,

120 + 130 + 100 + x + 135 + 110 = 720

595 + x = 720

x = 125

Answer: it’s asking where do the points meet at hopes this helps

Step-by-step explanation:

Answer:

1.) slope=6/2 or 3 y-int =2 equation = y=3x+2

2.) slope = -10/1 or -10 y-int = 60 euation = y=-10x+60

Step-by-step explanation:

Slope is rise over run

y-intercept is when x =0

equation is y=mx+b

m=slope and b=y-int

Answer:

y=4x-1

Step-by-step explanation:

We know that the slope equation is y=mx+b. M is the slope and B is the y-intercept. M is provided to be 4 and B is provided to be -1, so all we have to do is plug them in to get the answer.

Answer:

y = 4x - 1

Step-by-step explanation:

Slope-intercept form:

y = mx + b

So, input all the values...

y = 4x - 1

Hope this helps :)

Let me know if there are any mistakes!!

Answer:

y=7x+2

Step-by-step explanation:

The equation that i gave you is parallel to the one you mentioned

Answer:

1.08

Step-by-step explanation:

This is because it grows upon itself so it starts with a multiplier of 1, but it is growing with .08 (8 percent) on itself so you add these two numbers together to get 1.08

Answer:

5

Step-by-step explanation:

I hope this helps!!

Answer:

you have to take away the 30 and put in the 70 from there by the 9

Step-by-step explanation:

use conquest of evaluation

Answer:

The function would be linear because the rate of change is constant.

Step-by-step explanation:

Given

[tex]Base= \$89.00[/tex]

[tex]Rate = \$0.10[/tex] per minute

See attachment for complete question and options

First, we write the function that calculates the cost (C(t)) for t minutes.

This is calculated as:

[tex]Cost = Base + Rate * t[/tex]

[tex]C(t) = 89.00 + 0.10 * t[/tex]

[tex]C(t) = 89.00 + 0.10t[/tex]

Rewrite as:

[tex]C(t) = 0.10t + 89.00[/tex]

A function that has the above format is referred to as a linear function which has the general format

[tex]f(x) = mx + b[/tex]

Where

m represents the slope/rate and it is constant

From the list of given options, (a) is correct.