compound interest
Optional: How much compound
interest is earned at 45 years?
(looks about 3 quarters(25) of the way to the whole
number)
Optional: How much simple
interest is earned at 45 years?
(looks close to the whole number)
-------- Total amount (dollars)
1500+
1400
1300
12004
1100
1000
900
800-
700
600
500
400-
300
200
100
simple interest
(b) How much more compound
interest than simple interest is
earned after 45 years?
0
10
15 20 25 30 35 40 45 50
Number of years

Step-by-step explanation:

The answer is B

Answers is B

Answer:

9 inches

Step-by-step explanation:

225 x 4 /100  = 9

Ax+ By = C for x

Ax = C - By

x = (C - By)/A

Done.

9514 1404 393

Answer:

  b⁶

Step-by-step explanation:

The question tells you how to work it: use the relations you studied.

Here, you have the power of an expression with an exponent. The exponents multiply.

  [tex]\text{Rule: }(a^b)^c=a^{bc}\\\\\text{Appication: }(b^3)^2=b^{3\cdot2}=\boxed{b^6}[/tex]

_____

Additional comment

A coefficient is used to indicate repeated addition: 3x = x + x + x.

An exponent is used to indicate repeated multiplication: x³ = x·x·x.

This is still true when the exponent is applied to an expression with an exponent:

  (b³)² = (b³)(b³) . . . . the factor b³ is repeated 2 times as indicated by the exponent 2

Of course, each of these indicates repeated multiplication, so we really have ...

  (b³)(b³) = (b·b·b)·(b·b·b) = b·b·b·b·b·b

And this can be simplified using an exponent to show the repeated multiplication:

  = b⁶

Then, by going the long way around, we arrive at ...

  (b³)² = b⁶

Answer:

6x + 14

Step-by-step explanation:

Givens

P = s1 + s2 + s3

s1 = x

s2 = 4x + 12

s3 = x +2

Solution

P = x + 4x + 12 + x + 2

P = 6x + 14

Answer:

ion even kno just tryna get points

Step-by-step explanation:

use g00glek

Answer:

Answer:

1.50

Step-by-step explanation:

Answer:

15. a

16. b

17. d

18. a

19. a

Step-by-step explanation:

I dont like exponents lol but these should be correct, try using math-way or cy-math (without the hyphens) if you need help, you can also ask me of course!

Answer:

£32 and £32

Step-by-step explanation:

The computation of the amount that should be left and equally distributed is shown below:

The cost of hotel for one night is £84

Brenda has make a deposit of £20

So, the remaining amount left is

= £84 - £20

= £64

Now this amount should be equally distributed between them i.e. £32 and £32

Answer:

x = 10

Step-by-step explanation:

3x - 5 = 2x + 5

3x - 5 + 5 = 2x + 5 + 5

3x = 2x + 10

3x - 2x = 2x - 2x + 10

1x = 10

x = 10

Answer:

I think A

Step-by-step explanation:

3x5=15-5=10

2×5+5=15

So x = 10

Is the closest

Answer:

[tex]cos(x)[/tex]

Step-by-step explanation:

Let's recall the definition of the trigonometric identities in place:

[tex]cot(x)=\frac{1}{tan(x)} =\frac{cos(x)}{sin(x)}[/tex]  and

[tex]csc(x)=\frac{1}{sin(x)}[/tex]

Then, we substitute and simplify as follows:

[tex]\frac{cot(x)}{csc(x)}=cot(x)*\frac{1}{csc(x)}=\frac{cos(x)}{sin(x)}*sin(x)=cos(x)[/tex]

Due to not knowing many there are in the container, here is how to get the answer on a calclator:

*Number of amount in container* Divided by 5

Then get that original container amount then subtract the number you got from the previous equasion

This is my tactic and it always works for me

Answer:

Equation of parabola:  8*(y - 2) = (x - 3)^2

or

y = (1/8)*(x - 3)^2 + 2

Step-by-step explanation:

focus at (3,4) and its directrix y = 0.

Focus equation:  (h, k + c) = (3, 4)

Directrix equation  y =  k - c = 0

so  h = 3,   k + c = 4,   k - c = 0

Solve  the system :  k + c = 4 and k - c = 0

add the equations together:     k + c + k - c = 4 + 0

2k = 4

k = 2

so   k + c = 4,    2 + c = 4,   c = 2

4c (y - k) = (x -  h)^2

4*2 *(y - 2) = (x - 3)^2

8*(y - 2) = (x - 3)^2

Answer:

0.14

Step-by-step explanation:

Answer:

Option B (2, -2) is correct.

Step-by-step explanation:

Have a great day! :)

and can I plz have brainliest?

Answer:

100=15.50p-7.00

6 people

(p can be any variable)

Step-by-step explanation:

100 is the amount of money Ms. Hernandez will spend, 7 is the amount she will have to spend on parking, and 15.50 is the cost per person to go to the zoo.

How to solve the equation

Answer:

all of the brackets first

Answer:

Step-by-step explanation:

Those consecutive angles must sum to 180 degrees.

7x+9+7y-4=180

7x+7y+5=180

7x+7y=175

x+y=25

x=25-y

We also have

11x-1+2y+5=180

11x+2y+4=180

11x+2y=176, using x=25-y that we found above makes this

11(25-y)+2y=176

275-11y+2y=176

-9y+275=176

-9y=-99

y=11, and since x=25-y

x=25-11

x=14

Finally

z+7x+9=180

z+7x=171

z=171-7x, we found that x=14 earlier so

z=171-7(14)

z=171-98

z=73

So the three values are

x=14, y=11, and z=73 degrees.

Answer:

Yes is just like using the slope intercept form

Step-by-step explanation:

Answer:

The 96% confidence interval for the proportion of people who say they jog regularly is between 0.1222 and 0.1578. This means that we are 96% sure that the true population proportion of people who jog is between 0.1222 and 0.1578.

With a 99% confidence level, the interval would be wider.

The smallest number of people we could contact to still have a margin of error of 3% at a 96% confidence level is 566.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A polling organization contacts 1600 people and of these 14% say that they jog regularly.

This means that [tex]n = 1600, \pi = 0.14[/tex]

Construct and interpret a 96% confidence interval for the proportion of people who say they jog regularly.

96% confidence level

So [tex]\alpha = 0.04[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.04}{2} = 0.98[/tex], so [tex]Z = 2.056[/tex].

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 2.056\sqrt{\frac{0.14*0.86}{1600}}[/tex]

[tex]M = 0.0178[/tex]

Lower bound:

Sample proportion subtracted by the margin of error. So

[tex]\pi - M = 0.14 - 0.0178 = 0.1222[/tex]

Upper bound:

Margin of error added to the sample proportion. So

[tex]\pi + M = 0.14 + 0.0178 = 0.1578[/tex]

The 96% confidence interval for the proportion of people who say they jog regularly is between 0.1222 and 0.1578. This means that we are 96% sure that the true population proportion of people who jog is between 0.1222 and 0.1578.

Explain what changes if you instead use a 99% confidence level.

With a 99% confidence level, the value of Z would be higher(2.575), which means that the interval would be wider.

What is the smallest number of people we could contact to still have a margin of error of 3% at a 96% confidence level.

This is n for which [tex]M = 0.03[/tex]

So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 2.056\sqrt{\frac{0.14*0.86}{n}}[/tex]

[tex]0.03\sqrt{n} = 2.056\sqrt{0.14*0.86}[/tex]

[tex]\sqrt{n} = \frac{2.056\sqrt{0.14*0.86}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.056\sqrt{0.14*0.86}}{0.03})^2[/tex]

[tex]n = 565.5[/tex]

Rounding up:

The smallest number of people we could contact to still have a margin of error of 3% at a 96% confidence level is 566.

Answer:

blue

Step-by-step explanation:

1/3·π·8∧2·8=536.17

(1/3·π·r∧2·h)

Answer:

Step-by-step explanation:

I assume that 16 m is the radius, not a diameter.

Answer:

About 207 inches

Step-by-step explanation:

The circumference of a circle is given by the formula ...

 C = πd . . . . . where d represents the diameter

The circumference of the tire is the distance the truck will move when the tire makes one revolution. That distance is ...

 C ≈ 3.1416×(66 in) ≈ 207.35

The truck will travel about 207 inches for each revolution of the tire.

Answer:

>

Step-by-step explanation:

Answer:

12π

is the correct answer

Answer:

39 square feet

Step-by-step explanation:

half of base times height