Answer:
59.0
Step-by-step explanation:
c=31
b=90
90+31=121
180-121=59
56 rounded to the nearest 3 sf=59.0
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To solve this we are going to use the formula for compounded interest:
where
is the final amount after
years
is the initial amount
is the interest rate in decimal form
is the number of times the interest is compounded per year
is the time in years
We know for our problem that
,
, and
. Since the interest is compounded daily, it is compounded 365 times in year; therefore,
. Lets replace those values in our formula to find
:
We can conclude the amount in Diane's after 3 years will be <span>
$1,603.31</span>
Answer:
the probability that all tomatoes are sold is 0.919 (91.9%)
Step-by-step explanation:
since the random variable X= number of tomatoes that are demanded, is normally distributed we can make the standard random variable Z such that:
Z=(X-μ)/σ = (83 - 125)/30 = -1.4
where μ= expected value of X= mean of X (since X is normally distributed) , σ=standard deviation of X
then all tomatoes are sold if the demand surpasses 83 tomatos , therefore
P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)
from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore
P(X>83) = 1- P(Z≤-1.4) = 1 - 0.081 = 0.919 (91.9%)
thus the probability that all tomatoes are sold is 0.919 (91.9%)