Since this is a compound interest problem, you have to take note that the amount Catherine will get per year is not the same. It will increase per year since it is compounded. So first, we get the amount after one year. This will be 7000 x 0.04 which is 280 plus 7280. In the second year, she will get 7571 (7280 x 0.04 + 7280). In the third year, she will get 7874 (7571 x 0.04 + 7571). In the fourth year, she will get 8189 (7874 x 0.04 + 7874). And finally in the fifth year, she will get 8517 (8189 x 0.04 +8189). So after five years, she has 8517
Answer:
The answer is yum yum fruit ! Work is shown below :)
Answer:
Parallel means they have the same slope so, y=3x-8
Distance formula: distance = sqrt((x2-x1)^2 + (y2 -y1)^2))
Distance = sqrt(( -3 - -3)^2 + (9-4)^2))
Distance = sqrt(25)
Distance = 5
Answer: 5
Answer:
v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2
Step-by-step explanation:
Solve for v over the real numbers:
-v^2 + 9 v - 5 = 0
Multiply both sides by -1:
v^2 - 9 v + 5 = 0
Subtract 5 from both sides:
v^2 - 9 v = -5
Add 81/4 to both sides:
v^2 - 9 v + 81/4 = 61/4
Write the left hand side as a square:
(v - 9/2)^2 = 61/4
Take the square root of both sides:
v - 9/2 = sqrt(61)/2 or v - 9/2 = -sqrt(61)/2
Add 9/2 to both sides:
v = 9/2 + sqrt(61)/2 or v - 9/2 = -sqrt(61)/2
Add 9/2 to both sides:
Answer: v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2
