Loan u
R=(1+0.0997/360)^360)-1
R=0.105*100=10.5%
Loan v
R=(1+0.1016/4)^4)-1
R==0.106*100=10.6%
Loan u is the lower by 0.1%
Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3
y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5
So the numbers are 3; 4 and 5.
You can re-check your answers (very important):
3+4+5 = 12
3;4;5 are consecutive numbers.
The answer has been approved.
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Answer:
(1,-3)
Step-by-step explanation:
(1,-3) is the only point which satisfies the equation.
When x = 1, y = -3
-3 = 2(1) - 5
-3 = 2 - 5
-3 = -3 ( a true statement)
Answer:
n=5
Step-by-step explanation:
Simplifying 7n + -4 = 31
Reorder the terms: -4 + 7n = 31
Solving -4 + 7n = 31 Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation.
-4 + 4 + 7n = 31 + 4
Combine like terms: -4 + 4 = 0 0 + 7n = 31 + 4 7n = 31 + 4 Combine like terms: 31 + 4 = 35 7n = 35
Divide each side by '7'. n = 5
Simplifying n = 5