Alexa earns $33,000 in her first year of teaching and earns a 4% increase in each successive year. Write a geometric series formula, Sn, for Alexa's total earnings over n years. Use this formula to find Alexa's total earnings for her first 15 years of teaching, to the nearest cent.

Step-by-step explanation:

The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = [a(r^n) - 1)]/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

a = $33000

r = 1 + 4/100 = 1.04

Therefore, the formula, Sn, for Alexa's total earnings over n years.

Sn = [33000(1.04^n) - 1)]/1.04 - 1

Sn = [3300(1.04^n) - 1)]/0.04

Alexa's total earnings for her first 15 years of teaching would be

S15 = [33000(1.04^15 - 1)]/0.04

S15 = $660778.4 to the nearest cent

chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116