**Answer:**

$7,000

**Step-by-step explanation:**

Let x = the part of $16,000 that was lent at 8%.

Then 16,000 - x is the part that was lent at 16%.

The interest earned at 8% is 0.08x.

The interest earned at 16% is 0.16(16,000 - x).

The total interest earned is 0.08x + 0.16(16,000 - x).

The total interest earned was $2,000, so

0.08x + 0.16(16,000 - x) = 2000

Now we solve for x to find out the amount lent at 8%.

0.08x + 0.16(16,000 - x) = 2000

0.08x + 2560 - 0.16x = 2000

-0.08x + 2560 = 2000

-0.08x = -560

x = 7000

Answer: $7,000

**Answer:**

84%

**Step-by-step explanation:**

The probability that the selected player is a football player, P(F)=19%

The probability that the selected player is a basketball player, P(B)=79%

The probability that the selected player play both football and basketball,

We want to determine the probability that a randomly chosen athlete is **either a football player or a basketball player, **

In probability theory

The probability that a randomly chosen athlete is either a football player or a basketball player is 84%.

**Answer:**

y+8=-5(x-3)

**Step-by-step explanation:**

The formula for point-slope form is y-y1=m(x-x1)

The points for (x1, y1) are (3, -8), meaning that 3 is x1 and -8 is y1.

So, start by writing your equation like this: y--8=m(x-3)

For the equation y--8=m(x-3), the y--8 will change to a + sign because two negatives make a positive, right? So, the equation should now look like this: y+8=m(x-3).

We know that the slope (m) is -5. Plug that into the equation to get this: y+8=-5(x-3)

And there you have it!! The equation is now in point-slope form!!

**y+8=-5(x-3) is the final answer!!**

Hope that helps you!! Please give me brainliest!!

**Answer: Yes**

**Step-by-step explanation:**

Step #1: Lacey has 2 3/4 yards of wrapping paper remaining. She has six boxes to wrap, each of which requires 3/8 of a yard of paper. First, you must find the total number of yards of wrapping paper needed for six boxes.

Number of boxes * Number of wrapping paper required for each box

6 x 3/8 = 9/4

Step #2: Subtract the number of yards of wrapping paper remaining by the total number of wrapping for 6 boxes.

2 3/4 - 9/4 = 1/2

Step #3: Determine and solve whether Lacey will have enough wrapping paper left to also wrap a book that requires 1/2 yard of paper. To solve, subtract the remaining amount of wrapping paper by the amount of wrapping required for a book.

1/2 - 1/2 = 0

So, yes Lacey will have just enough wrapping paper to also wrap a book that requires 1/2 yard of paper.

**Answer:**

(- 2, 3 )

**Step-by-step explanation:**

Given the 2 equations

x + y = 1 → (1)

2y - x = 8 → (2)

Adding the 2 equations term by term will eliminate the x- term

(x - x) + (y + 2y) = (1 + 8), that is

3y = 9 ( divide both sides by 3 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for y

Substituting y = 3 in (1)

x + 3 = 1 ( subtract 3 from both sides )

x = - 2

Solution is (- 2, 3 )