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
earnings over the 20-year period, we would apply the formula for determining the sum of n terms, Sn of a geometric sequence which is expressed as
Sn = (ar^n - 1)/(r - 1)
Therefore, the sum of the first 20 terms, S20 is
S20 = (32000 × 1.05^(20) - 1)/1.05 - 1
S20 = (32000 × 1.653)/0.05
S20 = $1057920
Answer:
a*sqrt(x+b) + c = d
or
a*√(x+b) + c = d
Step-by-step explanation:
The mean length (rounded to 2 DP) of these 8 people's index finger is 5.83
<h3>What is the mean length (rounded to 2 DP) of these 8 people's index finger?</h3>
The given parameters are:
<u>Children</u>
Mean = 5.6 cm
Frequency = 5
<u>Adult</u>
Mean = 6.2 cm
Frequency = 3
The mean length of these 8 people's index finger is calculated as:
So, we have
Mean = (5.6 * 5 + 6.2 * 3)/(5 + 3)
Evaluate
Mean = 5.83
Hence, the mean length (rounded to 2 DP) of these 8 people's index finger is 5.83
Read more about mean at
brainly.com/question/20118982
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Answer: 
Step-by-step explanation:
Three-fifths of the sum of 9 and f is 
=
=
Answer:
1 pear = $0.45
1 mango = 1.5
Step-by-step explanation:
8 pears + 5 mangoes = $11.10 ➡ 8p + 5m = 11.10
5 pears + 4 mangoes = $8.25 ➡ 5p + 4m = 8.25
multiply first equation by -4 and second one by 5
-4 ×(8p+5m) = 11.10 ➡ -32p - 20m = 44.4
5 ×(5p+4m) = 8.25 ➡ 25p + 20m = 41.25
add both equations up
-32p - 20m + 25p + 20m = 44.4 + 41.25
-7p = 3.15 ➡ p = $0.45
use this value to find the price of mango
5×0.45 + 4×m = 8.25 ➡ 2.25 + 4m = 8.25 ➡ 4m = 6 ➡ m = $1.5
