Answer:
Depends on what way you learnt it
Step-by-step explanation:
x + y = 4. x^2 + y^2 = 28. These are the given equations.
Square the first equation to get x^2 + 2xy + y^2 = 16.
Subtract the new equation from x^2 + y^2 = 28 to get 2xy = -12.
Divide by 2 to get xy = -6. The questions asks for positive numbers, and a positive times a positive is not a negative, therefore there are no two numbers.
Answer: $5000; $2000
Step-by-step explanation:
Simolw interest is calculated as: PRT/100
where,
P = principal
R = rate
T = time
Let the money in the 4-yr cd be represented by y.
Since rate = 5.2%
Simple interest = (y × 5.2 × 4)/100
Since he invested $3000 less in a 18-month CD, Let the money in the 18-month CD be represented by (y - $3000).
Then, S.I = [(y - $3000) × 3 × 1.5]/100
The total interest = $1130
We then equate the two simple interest together. This will be:
= (y × 5.2 × 4)/100 + (y - $3000) × 3 × 1.5]/100 = $1130
0.208y + 0.045(y - $3000) = $1130
0.208y + 0.045y - $135 = $1130
0.253y = $1130 + $135
0.253y = $1265
y = $1265/0.253
y = $5000
The money invested in 4-yr CD = $5000
The money invested in the 18-month CD = $5000 - $3000 = $2000