Answer: 5 units
Step-by-step explanation:
The standard form of equation of circle:
, where (h,k) = center of circle, r= radius.
Given : Center of circle= origin = (0,0) =(h,k)
Point on circle = (3,4)
Put x= 3 , y=4 , h=0 , k=0 , then the equation will become
Hence, the radius is 5 units long.
The slope I got was 6/9 which can be reduced down to 2/3
Answer:
1.5051
Step-by-step explanation:
Answer:
- $85,000 at 6.25%
- $65,000 at 6.00%
Step-by-step explanation:
Let x represent the amount invested at 6.25%. Then the total interest earned is ...
0.0625x + 0.0600(150,000 -x) = 9212.50
0.0025x = 212.50 . . . . . . subtract 9000, collect terms
x = 212.50/0.0025 = 85,000
150,000 - 85,000 = 65,000 . . . . amount invested at the lower rate
$85,000 is invested at 6.25%; $65,000 is invested at 6%.
Answer:
$7.09
Step-by-step explanation:
Let wheat shipment be x bushels
Per bushel cost = 5.35
So x bushels cost = 5.35x
Achieving markup of 6% means 1.06 * 5.35x =5.671x
20% spoiled means 80% of x stays, so 0.8x will need to be sold at 5.671x
Selling price should be 5.671x/0.8x = $7.09
So that's 7 dollars and 9 cents