Answer:
31 years to triple the investment
Step-by-step explanation:
Initial investment = 300
Triple amount that is final amount = 300*3= 900
rate of interest = 3.5 % = 0.035
we need to find out number of years (t)
for compounded continuously we use formula
A is the final amount
P is the initial amount
r is the rate of interest
t is the number of years
Divide both sides by 300
take 'ln' on both sides
ln(3) = 0.035t ln(e)
ln(e)= 1
t= 31.3889
Round to nearest whole number
t= 31 years
Matt caught more pounds of fish.
Step-by-step explanation:
Given,
Fish caught by Luke = 4
Weight of each fish = 7/8 of a pound
Weight of 4 fish = pounds
Weight of 4 fish = 3.5 pounds
Fish caught by Matt = 6
Weight of each fish = 3/4 of a pound
Weight of 6 fish =
Weight of 6 fish =
Therefore,
Matt caught more pounds of fish.
Keywords: fraction, division
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Answer:
B)
Step-by-step explanation:
To find this recursive formula, we need to look at the relationship between each term in the sequence.
When looking at n=1 and n=2, we can see that we have 5 and 11.
We have to find a pattern between each term in the sequence. If we double 5, which is the previous term, and add 1, we get 11.
Lets see if this works for the next term, 23
First, lets double 11 = 22
Now add 22+1=23. We got the right term. Lets test it again
23*2=46
46+1=47
And now the last term
47*2=94
96+1=95
As you can see doubling the previous term and adding 1 works for all of these terms.
when written as a recursive formula, it would be , which is B