The "rule of 72" says that the doubling time in years is approximately 72 divided by the interest rate in percent. To make the money grow by a factor of 4 requires that it double twice, so will take twice as long as the period to double once.
2×72/11.3 ≈ 12.7 . . . . years
_____
The "rule of 72" is an approximation. The actual quadrupling time for this interest rate and compounding is about 12.6 years. (The actual product of doubling time and nominal interest rate is about 71.25.)
Answer:
Step-by-step explanation:
find attached the solution
Answer:
$ 454.86 : $33.25
Step-by-step explanation:
1.
Alex bought the new easy chair for $ 399 .
If she pays the amount in 13th month. So, she has to pay the interest of 1 month too , which is, = $ 
= $ 55.86
So, total amount she has to pay for the chair,
= (cost price of the chair + interest)
= $ (399 + 55.86)
= $ 454.86 (answer)
2.
If she wants to pay the amount within the 12 months, so that she doesn't have to pay the interest, her budget for that for each month will be ,
$ 
= $ 33. 25 (answer)
s(t) = 65+24sin(0.3t)
where t is measured in hours since 5:00
a.m
3-hour period from 7:00 a.m. to 10:00 am
5 am to 7 am = 2 hours
5 am to 10 am = 5 hours
To find the number of tons we take integral of 2 to 5 of s(t)
∫ 2 to 5 s(t) = ∫ 2 to 5 (65+24sin(0.3t))
∫65+24sin(0.3t) dt = 65t - 80 cos(0.3t) + c
Now we plug in the bounds 2 and 5
∫ 2 to 5 (65+24sin(0.3t)) = 255.36787 = 255.268
255.268 tons of sand are added to the beach over the 3-hour period
Answer:
They are parallel because their slopes are equal
Step-by-step explanation: