Answer:
Exact Form:
√5 + 5√2
__________
5
Decimal Form:
1.86142715
…
Step-by-step explanation:
N/A
Answer:
A table
Step-by-step explanation:
A table has four legs ( supports) but cannot possibly walk because it is not a living thing. For example, see the table in the attachment, it has four legs (supports) but cannot possibly walk.
<h3>
Answer: 1260</h3>
====================================================
Work Shown:
n = number of sides = 9
S = sum of the interior angles of any polygon with n sides
S = 180(n-2)
S = 180(9-2)
S = 180(7)
S = 1260
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
