Qty · % = Total
Drink 1: x .25 = .25x
Drink 2: 15 - x .10 = .10(15 - x)
Mixture: 15 .21 = .25x + .10(15 - x)
(15)(.21) = .25x + 1.5 - .10x
3.15 = .15x + 1.5
1.65 = .15x
11 = x
Drink 1 (25%) is 11 liters
Drink 2 (10%) is 15 - 11 = 4 liters
Well if it is a number like .933333333 you will have to round it, So now it is .93 and .93 in a fraction is 93/100
Answer: True, angles that are congruent are equaled to each other
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
