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3 years ago

The cube of the sum of 3 and k

Mathematics

1 answer:

denis23 [38]3 years ago

7 0

3k^3 should be the answer.

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Determine whether quantities vary directly or inversely and find the constant of variation. 16 factory workers made 40 pieces in

Andrei [34K]

Answer:

Part A) $8\ workers$

Part B) $10\ workers$

Part C) $40\ workers$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

x -----> the number of workers

y ----> the number of pieces made

In this problem

The relation between the variables x and y represent a direct variation (proportional variation)

For x=16, y=40

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{y}{x}$

$k=\frac{40}{16}\\k=2.5\ \frac{pieces}{worker}$

The linear equation is equal to

$y=2.5x$

Part A) How many workers are needed to make 20 pieces

For y=20 pieces

substitute in the linear equation

$20=2.5x$

$x=8\ workers$

Part B) How many workers are needed to make 25 pieces

For y=25 pieces

substitute in the linear equation

$25=2.5x$

$x=10\ workers$

Part C) How many workers are needed to make 100 pieces

For y=100 pieces

substitute in the linear equation

$100=2.5x$

$x=40\ workers$

3 0

3 years ago

Becky Anderson must pay a lump sum of $6000 in 5 yr. If only $5000 is available to deposit right now, what annual interest rate

34kurt

Hello!

Out equation is: $A=P(1+\frac{r}{n} )^t^n$

A= 6000

P=5000

N=1

T=5

R= What we are trying to find

This means we will have $6000=5000(1+r)^5$

Divide both sides by 5000:

$\frac{6000}{5000} = (1+r)^5$

Move the power to the other side by rooting both sides:

$\frac{6000}{5000} ^1^/^5 = 1+r$

Subtract 1 from both sides:

$\frac{6000}{5000} ^1^/^5 -1 = r$

Now we just need to calculate: R = 0.03713728...

I don't know how many decimal places you can have, but I will round to 2. This will give you an Interest Rate of 3.71%.

I hope this helps! :)

6 0

3 years ago

Read 2 more answers

Helllllllppppp me pleaseeeeeeeee!!!!

gladu [14]

I think the answer is 1/2!

6 0

3 years ago

Academy X + v

bearhunter [10]

A+B=C your lusjis Janis

4 0

3 years ago

If you can help that would be great!!!!

Mila [183]

Answer:

1 and four

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The cube of the sum of 3 and k​

The cube of the sum of 3 and k