how much would $120 invested at 6% interest compounded monthly be worth after 21 years? round to the nearest cent

Answers

Answer 1

Answer: The formula is
A=p (1+r/k)^kt
A future value?
P present value 120
R interest rate 0.06
K compounded monthly 12
T time 21 years
A=120×(1+0.06÷12)^(12×21)
A=421.72

Hope it helps!

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Complete these ordered pairs for the equation: y = 3x - 6 (0,__), (__,0), (1,__)

When you graph an inequality, you used a closed dot when you use which
symbols?

Answers

You should only use a closed dot for the symbols ≤ and ≥.

When you should use a closed dot?

There are two types of dots used when graphing inequalities, closed and open.

We use closed dots when the value where the dot is, is a solution.
We use open dots when the velue where the dot is, is not a solution.

So, for exampe in:

x > 3.

We would put an open dot at 3, because the value x = 3 is not a solution, but all the values at the right of the 3 are solutions.

In the other hand, for:

x ≥ 3

Now 3 is in fact a solution, so here we should use a closed dot.

Then, answering the question.

"When you graph an inequality, you used a closed dot when you use which symbols?"

The ≤ and ≥ symbols.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

You use a closed dot with the greater than or less than with the line under the symbol or the greater than or equal to or the less than or equal to symbols. The line indicates a closed dot.

The ratio of men to women on a train was 5:8 there was 200 men-
A- how many women were on the train
B- how many people were on the train all together

Answers

$5x-\ number\ of\ men\n\n8x-\ number\ of\ women\n\n5x=200\ \ \ |divide\ by\ 5\nx=40\n\nWomen: 8x=8*40=320\nMen:5x=5*40=200\n\Together:320+200=520$

Compare the functions shown below:f(x)

x y
−3 −27
−2 −8
−1 −1
0 0
1 1
2 8
3 27
4 64
g(x)

linear graph with y intercept of negative 1 and x intercept of negative 2 h(x) = (x + 4)2 + 2

What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = 0 to x = 4?

Answers

To get the average rate of change, we simply have to use this formula:
ARC = (y2 -y1) / (x2 - x1)

For the first function:
ARC = (64 - 0) / (4 - 0) = 16

For the second function, since it's a line, the ARC would just be equal to the slope
m = ARC = (-1 - 0) / (0 - (-2)) = -0.5

For the third function:
h(0) = 18
h(4) = 66
ARC = (66 - 18) / (4 - 0) = 12

Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:
g(x)
h(x)
f(x)

Answer:

the answer for my flvs students is g(x), h(x), f(x)

Step-by-step explanation:

i just took the test

Solve the system of equation below using any method.
3x-2y=30
2x+3y=-19

Answers

{ 3 x - 2 y = 30   * ( 2 )
2 x + 3y = - 19 * ( -3 )

↓

  6 x - 4 y = 60
- 6x - 9 y = 57
______________
-13 y = 117

y = 117 / - 13

y = - 9

For x :

3 x - 2y = 30

3 x - 2 ( -9) = 30

3 x + 18 = 30

3 x = 30 - 18

3 x = 12

x = 12 / 3

x = 4

x = 4 and y = -9

hope this helps!

ALGEBRA HELP, please help with problem, and show work

Answers

First of all, your second term is already wrong. When you divided 8x² by 4 ,
you should have written 2x² , not 4x² .

Make that correction, and then divide the whole thing by 'x'.

Then you'll have x² - 2x + 1 = 0 .

You should have no trouble solving that one,
(especially since it's a perfect square)

That gives you two (equal) solutions. But you should also ask yourself:
"Self ! Where is the third solution ? A cubic equation like the original
one needs three solutions."

I'll give you that one:
Look over the original equation, and look at what happens to it when x = 0 .
Then the left side becomes zero, and the equation is 0 = 0 . Since that's a
true statement, " x = 0 " is another solution of the cubic equation, and now
you have all three of them.

divide both sides by 4x:
x^2-2x+1=0
You can either factor, complete the square, or use the quadratic formula.
I'll factor this into (x-1)(x-1)=0
x-1=0, so x=1

A survey found that 12 out of 30 people preferred bacon over sausage. According to this survey, what percent of people prefer bacon over sausage?