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Hitman42 [59]
3 years ago
7

Factor out the greatest common factor. 30t2u + 12tu2 + 24tu

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0
First you can combine 30tu^2 and 12tu^2 because they both have tu^2

So it would be 42tu^2 + 24tu

The answer is
6tu ( 7tu + 4 )



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In his first year, a math teacher earned $32,000. Each successive year, he
Ivan

Answer:

Step-by-step explanation:

Each successive year, he

earned a 5% raise. It means that the salary is increasing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence(amount earned in the first year).

r represents the common ratio.

n represents the number of terms(years).

From the information given,

a = $32,000

r = 1 + 5/100 = 1.05

n = 20 years

The amount earned in his 20th year, T20 is

T20 = 32000 × 1.05^(20 - 1)

T20 = 32000 × 1.05^(19)

T20 = $80862.4

To determine the his total

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Sn = (ar^n - 1)/(r - 1)

Therefore, the sum of the first 20 terms, S20 is

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