Answer:
11.1 years
Step-by-step explanation:
The formula for interest compounding continuously is:
Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years. Filling in what we have looks like this:
We will simplify this first a bit by dividing 2000 by 1150 to get
To get that t out the exponential position it is currently in we have to take the natural log of both sides. Since a natural log has a base of e, taking the natual log of e cancels both of them out. They "undo" each other, for lack of a better way to explain it. That leaves us with
ln(1.739130435)=.05t
Taking the natural log of that decimal on our calculator gives us
.5533852383=.05t
Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.
Answer: 1/20 and 19/20
Step-by-step explanation:
Answer:
thanks for the points
Step-by-step explanation:
have a nice day ahead
Arithmetic sequence: must have a constant common difference.
3/20-1/10=(3-2)/20=1/20
5/30-3/20=(10-9)/60=1/60
Difference is not constant, so no.
Geometric sequence: must have a common ratio
30/20 / (1/10) = 15
5/30 / (3/20) = 100/90 = 10/9
ratio is not constant, so no.
The answer is (c) neither geometric nor arithmetic
Combining three equal groups means that we will mainly depend on multiplying the quantity by 3 to get the total
<u><em>Examples are shown below:</em></u>
1- Mrs Nadia teaches three classes. Each class has 25 student. How many students does Mrs Nadia teach in total?
<u>In this problem</u> we will be combining three equal groups of students where each group has 25 students, therefore:
Total number of students = 3 * 25 = 75 students
2- John has three bags of candies. Each bag contains 10 pieces of candies. How many candies does John has?
<u>In this problem</u> we will be combining three equal groups of candies where each group has 10 pieces, therefore:
Total number of candies = 3 * 10 = 30 candies
Hope this helps :)
