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Answer:

25 Years. thank you for your question

The time required for the investment of $1500 reaches $3000 with APR of 8% using the rule of 72 is 9 years.

The rule of 72 is the easy way to calculate the number of years required the investment with the given interest rate. It can be calculated as,

[tex]t\approx\dfrac{72}{r}[/tex]

Here, (t) is the time period and (r) is the rate of return.

The invested amount is $1500 and the value of APR is 8%. The time we have to calculate using the rule of 72.

The final amount of the investment is $3000 which is double the initial amount. Thus, the time period required to double the investment with 8% of interest is,

[tex]t\approx\dfrac{72}{8}\\t\approx9[/tex]

Thus, the time required for the investment of $1500 reaches $3000 with APR of 8% using the rule of 72 is 9 years.

Learn more about the rule of 72 here;

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Answer:

  a) y = 10x +500

  b) $500

  c) $15 for 100; $10.50 for 1000

Step-by-step explanation:

We assume the given "cost per unit" is the variable cost per unit. The total cost (y) for x units, given some fixed cost (b), is ...

  y = 10x +b

For 100 units, this is ...

  1500 = 10(100) +b

  500 = b . . . . . . . . subtract 1000

The cost function rule is ...

  y = 10x +500

__

The fixed cost is the cost of producing 0 units:

  y = 10(0) +500

  y = 500 . . . . . . . the fixed cost in dollars

__

The average cost (ac) of producing n units is the total cost divided by n:

  ac(n) = (10n +500)/n = 10 +500/n

The average cost for 100 units is

  ac(100) = 10 +500/100 = 15 . . . average dollar cost for 100 units

The average cost for 1000 units is ...

  ac(1000) = 10 +500/1000 = 10.50 . . . average dollar cost for 1000 units

Answer:

Its A x=21/4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

1. 4x ≤ 25

⇒ x ≤ 6.25

2. x + 4 < 25

⇒ x < 21

3. x + 4 ≥ 25

⇒ x ≥ 21

4. 4 + x ≤ 25

⇒ x ≤ 21

Step-by-step explanation:

1. 4x ≤ 25

⇒ x ≤ 6.25

2. x + 4 < 25

⇒ x < 21

3. x + 4 ≥ 25

⇒ x ≥ 21

4. 4 + x ≤ 25

⇒ x ≤ 21

Answer:

Break Down Complex Problems.

Master The Basic Math Skills.

Understand The Topic Before Moving On To Another.

Know The Importance Of Number Sense.

Have A Regular And Consistent Practice.

Establish A Routine.

Focus On Understanding New Concepts.

Create A Practice Math Test.

Answer :

2nd  One

Explanation : 1st Is 498.75 And 2nd One Is 300.00

Step-by-step explanation:

Area for a right angle triangle = 1/2 bh

b = Base

h = Height

A = 1/2×bh

= 1/2 × 2c^3d^2 × 4c

= (2c^3d^2 × 4c) / 2

= c^3d^2 × 2c

= 2c^4 × d^2

Answer:

Fundamentally, no.

Step-by-step explanation:

It's the same exact concept, only now you are dealing with numbers that are in between two numbers. You still have to follow the same rules though.

Answer:

513,000,000

Step-by-step explanation:

To write five hundred thirteen million in numbers change “five hundred thirteen million” to “513”, then multiply 513 by 106.

Alternatively, move the decimal point 6 places to the left:

513 × 106 = 513000000,

513 → 5,130 → 51,300 → 513,000 → 5,130,000 → 51,300,000 → 513,000,000.

Besides, five hundred thirteen million means:

513 × 10^6

513000000 as a whole number

513M in abbreviated form

[RevyBreeze]

Answer:

log 7 + 3log x + log y

Step-by-step explanation:

log(7x³y) = log 7 + log x³ + log y = log 7 + 3log x + log y

Answer:Expand log4(x3)log4(x3) by moving 33 outside the logarithm.log4(7)+3log4(x)+log4(y)

Answer:

3x=24y

-12x+9y=7

let me know if this helps :3

Step-by-step explanation:

Answer:

Step 1) P = 600, Decimal format: 0.04, Balance = 624

Step 2) Principle = 624, Balance = 648.96

Step 3) Principle = 648.96, Balance = 674.92

Step-by-step explanation:

Use the formula of A = P(1 + r/n)^n*t

P = 600, r = 4%, n = 1, t = 1 years.

Plug in

A = 600(1 + 0.04/1)^1*1

A = 600 * 1.04^1

A = 600 * 1.04

A = 624

To find the seperate interest

A = P + I

624 = 600 + I

I = 624 - 600

I = 24

Repeat for Step 2

P = 624, r = 4%, n = 1, t = 1

A = 624(1 + 0.04/1)^1*1

A = 624 * 1.04^1

A = 624 * 1.04

A = 648.96

Repeat for interest

648.96 = 624 + I

I = 648.96 - 624

I = 24.96

Repeat for step 3

A = 648.96, r = 4%, n = 1, t = 1

A = 648.96(1 + 0.04/1)^1*1

A = 648.96 * 1.04^1

A = 648.96 * 1.04

A = 674.92

Interest repeat

674.92 = 648.96 + I

I = 674.92 - 648.96

I = 25.96

The x value for the third quartile for this distribution is 106.8

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where μ is the mean, x = raw score and σ is the standard deviation.

Given μ = 100, σ = 10.

The third quartile correspond with a z score of 0.675, hence:

0.675 = (x - 100) / 10

x = 106.8

The x value for the third quartile for this distribution is 106.8

Find out more on Z score at: https://brainly.com/question/25638875

Answer:

option A [tex](4, \frac{7}{2})[/tex] is the midpoint.

Explanation:

To find midpoint: [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

We shall use this formula here:

[tex](\frac{9+-1}{2}, \frac{5+2}{2})[/tex]

[tex](\frac{8}{2}, \frac{7}{2})[/tex]

[tex](4,3.5)[/tex]

I THINK!!!!!! (x, y) = (-4, -25) im not completely sure tho

Step-by-step explanation:

substitute y = 7x + 3 in equation 2

9x - 2y = 14

9x - 2(7x + 3) = 14

9x - 14x + 6 = 14

-5x + 6 = 14

-5x = 14 - 6

x = 8 ÷ 5

x = 1.6

subs x = 1.6 into equation 1

y = 7x + 3

y = 7(1.6) + 3

y = 11.2 + 3

y = 14.2

thus, x = 1.6, y = 14.2

Hi! Let me help you!

Answer:

y=3x-10

Hope you find it helpful.

~Nature~

Enjoy your day! :)

Answer:what the other guy the said

Step-by-step explanation:

Answer: -18 and 33

Step-by-step explanation:

r/3 < -6 means r<-18

3r+1 > 100 means r > 33

so the blanks are -18 and 33, respectively.

Answer:

D

Step-by-step explanation:

The x in the spot (x,y) is the time, while the y is how high the object is at.

The length of the time when the object is at or above 128 feet starts at exactly 2 seconds and ends at exactly 4 seconds.

Answer:

y=3x-10

Step-by-step explanation:

When you have to find a parallel line, you take the slope of the other line, so we already know y=3x+b. Then, plug in 2 and -4 as your x and y values and you get -4=3(2)+b. Then solve 3×2=6, so -4=6+b, subtract 6 from both sides, -10=b.

Answer:

Step-by-step explanation:

Let the length is x, then the width is 1/4x.

Find the perimeter of rectangle:

Answer:

Graph attached

Step-by-step explanation:

Counterclockwise rule: (x, y) to (-y, x)

Hope this helps!

Answer:

A is the answer

Step-by-step explanation:

I thought I said it

Answer:

its $148.80

Step-by-step explanation:124.00 times .20 which its 24.8 and then u add that to ur bill.

Answer:

-6

Step-by-step explanation:

x-intercept is y = 0, so the point is (-6, 0), answer is -6

The Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the function f(x).

The term "intercept" refers to the location where a line or curve crosses a graph's axis. The x-intercept is the point at which the x-axis is crossed. The y-intercept is the point at which the y-axis is crossed.

The x- or y-axis intersection point is what is meant when a line has an intercept. The y-axis is often taken into account if the axis is not stated. The letter "b" is typically used to represent it.

We know that the x intercept can be find where the value of y=0

So, From the table attached,

For x = -1, f(-1) = 0

For x = 2, f(2) = 0

For x = 3, f(3) = 0

Thus, Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the function f(x).

Learn more about Intercept here:

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Answer:

12kg

Step-by-step explanation:

the total money is =1500

each kg =25

so, we first multiply 25 as each kg by 5kg. To have the kg remaining

25×5 = 125

then

1500÷125

=12kg

he bought 12kg,

Answer:

Step-by-step explanation:

THE answer is 6

First Calculate the number of action figures sold on Monday:

8 comic books for every 3 action figures

32 comic books =? action figures

8 x 4 = 32

so, 3 x 4 = 12 action figures sold on Monday

next Find the difference between the number of action figures sold on Monday and Tuesday

They're asking for the difference, so you subtract

18 - 12 = 6

Hence, the difference in the number of books on Monday and Tuesday is 6

Answer:

y = 2

Step-by-step explanation:

So we need to find the slope first.

m = y_2 - y_1/x_2 - x_1

Substitute

m = 2 - (2)/8 - (-3)

Simplify now.

Multiply -1 by 2

m = 2 - 2/(8 - (-3)

2 from 2

m = 0/8 - (-3)

Now we need to simplify the denominator.

To do so lets multiply -1 by -3

m = 0/8 + 3

m = 0/11

m = 0

Now we have the slope of 0 and the given point of (-3, 2)

So y - (2) = 0 * (x - (-3)) (Formula > y - y_1 = m(x - x_1) this comes from the original slope equation]

Simplify further

y - 2 = 0 * (x + 3)

Now we solve for y

Multiply 0 by x + 3

y - 2 = 0

Add 2 to both sides

y = 2

Answer:

-3,2 and 8,2

Step-by-step explanation:

Answer:

3.875

Step-by-step explanation:

I just kinda know I'm good with cups and gallons

Answer:

No

Step-by-step explanation:

it is not right triangle because when we use Pythagoras theorem by using these side

not satisfied

Answer:

It is not a right triangle.

He caught 22 but put 5 back so had 22-5 = 17 fish

He then caught 12 more for a total of 17 + 12 = 29

Answer: 29 fish.

Answer:

The answer is 29 (so you were right!)

Step-by-step explanation:

He had 22 fish, and he threw 5 back

22 - 5 = 17

He caught 12 more in the afternoon

17 + 12 = 29

So, 29 is your answer.