Answer:
Interest rate is 5.25% a year.
Step-by-step explanation:
r = (1/54)((22252.5/18000) - 1) = 0.004375
r = 0.004375
Convert decimal to percentage
R = 0.004375 * 100 = 0.4375%/month
Calculate annual rate
0.4375%/month × 12 months/year = 5.25% per year.
Answer:
$429.75
Step-by-step explanation:
First, find the tax rate on the sale of the boat: Let r represent that rate. Then,
$12,500r = $562.50. Solving for r, we get r = $562.50 / $12,500 = 0.045
The tax rate is 0.045, or 4.5%.
Applying this tax rate to a boat selling for $9,550:
0.045($9,550) = $429.75. This is the amount of tax on the 2nd boat.
Answer:
y-3
Problem:
What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?
Step-by-step explanation:
Dividend=quotient×divisor+remainder
So we have
xy-3=(x-1)×(y)+remainder
xy-3=(xy-y)+remainder *distributive property
Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.
We need to get rid of minus y so we need plus y in the remainder.
We also need minus 3 in the remainder.
So the remainder is y-3.
Let's try it out:
xy-3=(xy-y)+remainder
xy-3=(xy-y)+(y-3)
xy-3=xy-3 is what we wanted so we are done here.
Answer:
50.24 yards²
Step-by-step explanation:
The equation for area of circle is πr². So the calculation is 4² × 3.14.
16 × 3.14 = 50.24
Answer:
James
Step-by-step explanation:
James rate:
2x + 2 = 4
2x = 2
x = 1 hour
Rate = distance/time = 4/1 = 4 miles per hour
Craig's rate = 1/2 = 0.5 miles per hour
James is faster
