Find the volume of the sphere could anyone help me with this ? If you can explain it to me well!

natali 33 [55]

-14,-12,-6,0,11,12 thats the order. hope this helps

3 0

4 years ago

The value in dollars, v(x), of a certain truck after x years is represented by the equation v(x) = 32,500(0.92)x. To the nearest

max2010maxim [7]

Answer:

The value of the truck is worth $27,508 after two years.

Step-by-step explanation:

We are given the following in the question:

$v(x) = 32,500(0.92)^x$

where v(x) is the value of truck in dollars after x years.

We have to estimate the value of truck after 2 years.

We put x = 2 in the equation.

$v(2) = 32500(0.92)^2\\v(2) = 27508$

Thus, the value of the truck is worth $27,508 after two years.

8 0

3 years ago

A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly

meriva

Answer:

2

Step-by-step explanation:

well if you get all of the fractions into percentage form they will be 20%for green 8% for blue so in turn it would mean 8% of 15 is 2

3 0

3 years ago

Y=-2x+4 y=6x+12 substitution method

sergey [27]

Answer:

x = - 1, y = 6

Step-by-step explanation:

Given the 2 equations

y = - 2x + 4 → (1)

y = 6x + 12 → (2)

Substitute y = 6x + 12 into (1)

6x + 12 = - 2x + 4 ( add 2x to both sides )

8x + 12 = 4 ( subtract 12 from both sides )

8x = - 8 ( divide both sides by 8 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 6(- 1) + 12 = - 6 + 12 = 6

Solution is (- 1, 6 )

6 0

3 years ago

A bank wishes to invest a $100, 000 trust fund in three sources: bonds paying 8%; certificates of deposit paying 7%; and first m

Nuetrik [128]

Answer:

It is not possible to make the investment under the given conditions.

Step-by-step explanation:

Let x, y and z be the amounts invested in bonds, certificates of deposit and mortgages respectively.

1st equation

“A bank wishes to invest a $100, 000 trust fund in three sources”

x + y + z = 100,000

2nd equation

“The bank wishes to realize an $8, 000, annual income from the investment and bonds paying 8%; certificates of deposit paying 7%; and first mortgages paying 10%”

0.8x + 0.7y + 0.1z = 8,000

3rd equation

“the total amount invested in bonds and certificates of deposit must be triple the amount invested in mortgages”

x+y = 3z

and we have a linear system of 3 equations with 3 unknowns

x + y + z = 100,000

0.8x + 0.7y + 0.1z = 8,000

x + y -3z = 0

This system has a unique solution given by

x = -470,000

y = 545,000

z = 25,000

Since x is negative, we deduct there is no way to do such an investment.

7 0

4 years ago