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
1) Add 9 to both sides. On the left side of the equal sign it will cancel out. on the right side of the equal sign because it is now a different sign equation you subtract -193 from 9 which equals -184
2) now you are left with to= -184
to get the variable by itself you need to divide both sides by 4. on the left side of the equal sign you have p by itself now , on the right you divide -184 by 4 and your answer comes out to be p= -46
3) p= -46 is your final answer!
Answer: A square has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the square. The diagonals have the following properties: The two diagonals are congruent (same length).
Step-by-step explanation:
Answer:
1.9730677676839334 or 1.97 (rounded)
Step-by-step explanation:
102-43=59
Think of it as (24x)^1/2 then use chain rule. Which means first derive (24x)^1/2 as deriving u^1/2 (substitute u for 24x), then deriving 24x, finally write those 2 derivatives as a multiplication (as in a*b).
