To answer we let x be the amount of money that Sam invested during the first year.
Below are the expressions translated from the given word forms for the amount invested.
Sam:
2nd year : amount = 5x/2 - 2000
3rd year : amount = x/5 + 1000
The sum of money invested by Sam is:
x + (5x/2 - 2000) + (x/5 + 1000)
Similarly, we derive the expressions that we use for the amount that Sally invested.
Sally
1st year : amount = 3x/2 - 1000
2nd year : amount = 2x - 1500
3rd year : amount = x/4 + 1400
The total amount that Sally invested is,
total = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
Equating the two equations:
(x) + (5x/2 - 2000) + (x/5 + 1000) = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
Solving for x,
x = 2000
For Sally's investment in the third year:
amount = x/4 + 1400 = (2000/4 + 1400) = 1900
ANSWERS:
Sam's first year = $2000
Sally's third year = $1900
Answer:
113/24
Step-by-step explanation:
Simplify the following:
(14 + 1/8)/3
Put 14 + 1/8 over the common denominator 8. 14 + 1/8 = (8×14)/8 + 1/8:
((8×14)/8 + 1/8)/3
8×14 = 112:
(112/8 + 1/8)/3
112/8 + 1/8 = (112 + 1)/8:
((112 + 1)/8)/3
112 + 1 = 113:
(113/8)/3
113/8×1/3 = 113/(8×3):
113/(8×3)
8×3 = 24:
Answer: 113/24
Answer:
Step-by-step explanation:
You know the lengths of two sides and the angle between them, so use the Law of Cosines to find the third side.
x^2 = 10.5^2+ 5.4^2 -2(10.5)(5.4)cos20°
x ≈ 5.73 units
