Answer:
37.02%
Step-by-step explanation:
The formula of compound interest we will use is:

Where
FV is the future value [2,400,000 in this case]
PV is the present value [40,000 was invested]
r is the rate of interest per year (what we want to find)
t is the time in years [13 years]
Substituting and solving for r:
![FV=PV(1+r)^t\\2,400,000=40,000(1+r)^{13}\\60=(1+r)^{13}\\1+r=\sqrt[13]{60}\\ 1+r=1.3702\\r=0.3702](https://tex.z-dn.net/?f=FV%3DPV%281%2Br%29%5Et%5C%5C2%2C400%2C000%3D40%2C000%281%2Br%29%5E%7B13%7D%5C%5C60%3D%281%2Br%29%5E%7B13%7D%5C%5C1%2Br%3D%5Csqrt%5B13%5D%7B60%7D%5C%5C%201%2Br%3D1.3702%5C%5Cr%3D0.3702)
Thus, rate of interest was 37.02% (rounded to 2 decimal places)
Answer:
47
Step-by-step explanation:
its 47
Answer:
I do not agree with Jake. Each neighbor will get 
Step-by-step explanation:
Since Jake has baked 5 cherry pies total and he wants to share them equally with 3 neighbors, the operation is division:

So, each neighbor would receive
pies, not
.
Likely, what Jake did wrong is switch the numerator and denominator in his fraction.
Answer:
Given:
Sebastian :
Principal(invested)= $7,100
Rate of interest= 8.14% compounded monthly
Eva:
Principal(invested)= $7,100
Rate of interest= 8.12% compounded continuously
Step-by-step explanation:
After 5 years,
In Sebastian case:
Amount= Principal*
Amount = 7100*
Amount= 7100*
Amount=7100*109.4415
Amount= $777,034.43
In Eva case,
Amount= Principal*
Amount = 7100*
Amount= 7100*130.5818
Amount= $927,130.92
Difference between their money=$927,130.92-777034.43
=$150,096.49
Eva has $150,096 more money than Sebastian.
Average speed = Distance/ time
Distance = 180 mi
Time = time(final) - time(initial)
To find time will be easier if we translate am and pm into 24 h scale.
am will stay the same, so 10:30 am is 10:30. (initial)
pm will be turned (am time + 12), 3: 00 pm = 3:00 +12 =15:00 (final)
Time = time(final) - time(initial)= 15:00 - 10:30 = 14:60 - 10:30 =4h 30 min
4h + 30 min = 4h + 1/2 h= 4.5 h (time)
Average speed = Distance/ time = 180 mi / 4.5 h = 40 mi/h
Answer is 40 mi/h.