(25000-f)(.03)+.05f=1100
750-.03f+.05f=1100
750+.02f=1100
.02f=350
f=$17500
So Mary invested $17500 @ 5% and 7500 at 3% to earn $1100 in interest.
Answer:
4^(-2)
Step-by-step explanation:
4^6 * 4^-8
Since the bases are the same, and we are multiplying, we can add the exponents
4^(6-8)
4^(-2)
Division is multiplication by the reciprocal. The reciprocal is when you see what times your fraction equals 1.
Here's your answer. Just simplify now.
7/8 * 4/9= 28/72
Increasing the amount of fuel by 28 gallons from 10 to 38 increased the weight by 154 pounds from 2155 to 2309 pounds.
The increase to 52 gallons of fuel is an increase of 14 gallons from 38, which is half the previous increase of 28 gallons. Thus, we expect the increase in weight from 2309 pounds to be half the previous increase, or 154/2 = 77 pounds.
2309 + 77 = 2386 . . . pounds
We expect the airplane to weigh 2386 pounds when it is carrying 52 gallons of fuel.
