Answer:
; 262 000
Step-by-step explanation:
The general formula for an exponential function is
a = 140 000; b = 1.04; x = 16
y = 140 000(1.04)¹⁶
y = 140 000 × 1.873
y = 262 000
The graph below shows the population growth over time.
The answer would be 79.64
I circled the formula for the area of a sector.
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
original points (-2,0), (2,0), (0,2)
new points (-6.25,0),(6.25,0),(0,6.25)
the point (0,6.25) is the vertex that lies on y -axis