Owen paid $9.20 for 6 pencils and a pen. A pen cost twice as much as a pencil. (a) How much did a pencil cost? (b) How much did

X≥

to resolve the inequality, identify the roots and establish testing intervals.

Response:

Average = 2000

Step-by-step breakdown:

The numbers provided are:

1,000 2,300 2,600

To calculate the average:

Initially, round each number to the nearest 1000, then determine the average.

Solution:

1000 is already rounded, so it stays the same.

To round to the nearest thousand, check the hundred's digit.

• If the hundred’s digit exceeds 5, the thousand’s digit increases by 1, and the hundred’s digit is set to 0.

• If it’s less than 5, the thousand’s digit remains the same, changing the hundred’s digit to 0.

Thus, 2300 rounds to 2000.

and 2600 rounds to 3000.

Consequently, the numbers for averaging are 1000, 2000, 3000.

The formula for average is as follows:

upon applying the formula:

So, the average after rounding to the nearest 1000 is 2000.

Step-by-step explanation:

∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹

This represents a finite geometric series where n equals 4, a₁ is -144, and r is ½.

S = a₁ (1 − rⁿ) / (1 − r)

S = -144 (1 − (½)⁴) / (1 − ½)

S = -270

If you wish to calculate the infinite sum (n = ∞):

S = a₁ / (1 − r)

S = -144 / (1 − ½)

S = -288

Begin by determining the monthly interest rate as follows:

<span>Each month, we deduct the monthly rate and the 5% payment from $463, leading to the following formula:</span>

<span>
Therefore, after three months, Bridgette will have a remaining balance of $381.5 in her account.</span>

The formula to convert Fahrenheit to Celsius is:

Celsius = (Fahrenheit - 32) x 5/9

C(76.1) = (76.1 - 32) x 5/9
= (44.1) x 5/9
= 24.5

Hence, 76.1°F is equal to 24.5°C.