Answer:
43.35 years
Step-by-step explanation:
From the above question, we are to find Time t for compound interest
The formula is given as :
t = ln(A/P) / n[ln(1 + r/n)]
A = $2500
P = Principal = $200
R = 6%
n = Compounding frequency = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06/1)] )
t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06)] )
t = 43.346 years
Approximately = 43.35 years
Give me an idea of what you think?
Answer:
Probability = 2/7
Step-by-step explanation:
AS the Venn diagram is not given in the question, the question is incomplete. I've attached the Venn diagram of this question below for a better understanding of the question and its solution.
In the Venn diagram we can see that
Costumers who like Cake = 10
Costumers who like Pie = 8
Costumers who like both = 4
So it means that
Total costumers who like Cake = 10 + 4 = 14
Total costumers who like Pie = 8 + 4 = 12
We have to find probabilty that a costumer who likes cakes also likes pie
So
Total costumers who like cake = 14
Costumers out of 14 who also like pie = 4
Probability = (No. of costumers who also like pie) / (Total costumers who like cake)
Probability = 4/14 = 2/7
For #3, it's 5.4 because you divide the total amount of money made by the amount of money earned per hour.
49.95/9.25=5.4 hours
An equation is formed of two equal expressions. The correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the total number of pages in the shorter book be represented by x, and the total number of pages in the longer book be represented by y.
Given the total number of pages of the shorter book and the longer book is 557. Therefore, the equation can be written as,
x+y =557
Also, Scott reads Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book, which is equal to 407 pages. Therefore,
(3/5)x + (5/6)y = 407
Hence, the correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
Learn more about Equation:
brainly.com/question/2263981
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