First, let us define our variables.
Let
x = age of the father
y = age of the son
z = age of the daughter
5 years ago..
(x – 5) = age of the father
(y – 5) = age of the son
(z – 5) = age of the daughter
After 18 years...
(x + 18) = age of the father
(y + 18) = age of the son
(z +18) = age of the daughter
From the first condition
y = z + 5 à
eqn 1
5 years ago
(x-5) = 23 + (y-5) + (z-5)
x –y –z = 18 à
eqn 2
after 18 years
(x+18) = 17*[(y +18 –z – 18)]
x – 17y + 17z = -18 à
eqn 3
solving the 3 equations simultaneously
x = 67
y = 27
z = 22
Answer:
x=-1, x=2, x=3
Step-by-step explanation:
Factor the left side of the equation.
(x+1)(x^2+x-6)
(x+1)(x-2)(x-3)
Now set everything equal to 0
x+1=0
x-2=0
x-3=0
Now solve for x
therefore, the answer is x=-1, x=2, x=3
Answer:
After 25 years, Cooper will have $29,093.01 in his savings account.
Step-by-step explanation:
While Cooper opened an emergency savings account of $ 20,000, which yields an annual interest of 1.5% compounded monthly, to determine how much money he will have in his account after 25 years, the following calculation must be performed:
X = 20,000 (1 + 0.015 / 12) 25x12
X = 29,093.01
Therefore, after the passage of 25 years, Cooper will have $ 29,093.01 in his savings account.
Answer:
To find a percent of the number, you need to convert the percentage into fractions or decimals. Then, multiply the fraction by the number.
Step-by-step explanation:
1. 60, 90,120,150,180,210,240,270
2. 65/100 x 200/1 = 2 x 65= 130\
3.5/100 x 180/1 = 9
