X^2/81 + y^2/64 = 1 The major intercepts are at (±9, 0) (±8, 0) (0, ±9)

Response:

x ≥ 4

Step-by-step breakdown:

Given

- 4(8 - 3x) ≥ 6x - 8 ← distribute the term in parentheses on the left side

- 32 + 12x ≥ 6x - 8 (subtract 6x from both sides)

- 32 + 6x ≥ - 8 (add 32 to both sides)

6x ≥ 24 (divide both sides by 6)

Thus, x ≥ 4

The provided values are

$85 $240 $120 $60 $315 $190 $145 $105 $285 $260 $95 $215 $235 $175 $155

To start, we will arrange these in ascending order

resulting in

$60 $85 $95  $105  $120  $145 $155 $175 $190 $215 $235 $240 $260 $285 $315

The total count is 15

the position of 105 is 4

Now, we can calculate the percentile

Thus, the percentile for the bid of $105 is 26.667%...........Response

Answer:

Angle x = angle 115°.

Step-by-step explanation:

Given: We have two parallel lines intersected by a transversal.

To find: The value of x.

Solution: Since two parallel lines are intersected by a transversal, corresponding angles, which are a pair lying on the same side of the transversal—one being on the interior and the other on the exterior—are equal.

Thus, angle x = angle 115, being corresponding angles.

Therefore, angle x = angle 115.

Response:

$3,000

Detailed breakdown:

This scenario is centered around compound interest, with the formula for compound interest defined as

Provided Data

A = final amount  =?

P = initial principal balance  = $2,500

r = interest rate = 2.1%= 0.021

t = number of time units passed= 14 years

By inserting our data into the compound interest equation, we can determine the final amount

Therefore, rounding to the nearest hundred gives us an account balance of $3,000