B : Nonlinear system of inequalities
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
You must divide first.
33/8= $4.13 an hour.
Now multiply.
4.13*5= 20.65
Step-by-step explanation:
P = 5x+2y
P = 5(3)+2(5) = 15+10 = 25 meters
x = 3/25 ×32 = 96/25 = 3.84 meters
y = 5/25 × 32 = 6.4 meters
<h3>
Answer: 24 cakes</h3>
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Work Shown:
1 gallon = 16 cups
3 gallons = 48 cups ... multiply both sides by 3
(2 cups of milk)/(1 cake) = (48 cups of milk)/(x cakes)
2/1 = 48/x
2x = 1*48
2x = 48
x = 48/2
x = 24
He can make 24 cakes.