1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:
2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:
3) Thus the rate Otto needs is
Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).
Or 13.9%
Answer:
-2.25
Step-by-step explanation:
9(1-x) = 27Y
9-9x =27y
-9x -27y = -9 multiply all terms by -1
9x +27y =9 equation (1)
x-y= -11/2 equation (2)
by solving 2 equations
x= -3.875
y= 1.625
∴ x+ y = 1.625 +(-3.875) = -2.25
Answer:
9 gallons of water per minute
Step-by-step explanation:
First identify what you know:
1) The pipe was flowing water for eight minutes.
2) In that eight minutes, 72 gallons of water came out.
So, if 72 gallons of water came out in eight minutes, how many gallons flowed out in a single minute? Well, assuming that the flow rate was consistent, then simply divide the total number of gallons that flowed out, by the number of minutes the pipe was open!
72/8 = 9
The pipe released 9 gallons of water per minute, thus resulting in 72 gallons of water in 8 minutes!
Hope this helps! :)
Answer:
C,. 3 3/4
Step-by-step explanation:
length times with times hight
1 1/4 x 1 1/2 x 2
convert everything to same denominator
1 1/4
1 2/4
1 4/4
solve
1 1/4 x 1 2/4 x 1 4/4
