Answer:
7.87 years
Step-by-step explanation:
#First we determine the effective annual rate based on the 9% compounded semi annual;

#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:

Hence, it takes 7.87 years for the principal amount to double.
Answer:
12 sales
Step-by-step explanation:
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
Answer:
x = 0, x = 0.5 or 1/2 The points on the graph are ( -1/2 or -0.5,0 ) and ( 1,0 )
Step-by-step explanation:
2x^2-x-1 = -1
2x^2-x = 0
x(2x-1) = 0
x=0
x=0.5 or 1/2
Answer:

Step-by-step explanation:
Given equation:

Expand the left side:

Let all terms on the left side have the same denominator of 7:

Join the terms on the left side:


Let all the terms on the right side have the same denominator of 3:

Join the terms on the right side:


Cross multiply:

Expand:

Add 12x to both sides:

Add 252 to both sides:

Divide both sides by 40:


Answer:
Graph A
Step-by-step explanation:
3x+y=5
y=-3x+5
4x-y=2
-y=-4x+2
4=2x-2