The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t
Give, a lump sum of $2000 is invested at 4.2% compounded continuously.
Hence we have:
P = $2000
rate of interest = 4.2%
years = t
we know that A = Pe^rt
Substitute the above values in the formula.
Amount = f(t)
f(t) = 2000.e⁰·°⁴²t
hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t
Therefore we get the required function.
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Answer:
Section A: Sally drives from her house to her friend's house.
Section B: Sally stops to visit her friend.
Section C: Sally drives from her friend's house to the post office to drop off a card.
Section D: Sally drives back to her house.
Step-by-step explanation:
As you can see in the graph, the point (0,0) is the location of Sally's house. In that point the distance is 0 and the time is 0.
In Section A she drives 3 miles in 6 minutes from her house to her friend's house.
In Section B, the distance does not change, this means that Sally stopped at her friend's house for 4 minutes.
In Section C she drives (for 4 minutes) 1 mile from her friend's house to some place (In this case the post office).
In Section D she comes back to 0 distance, then, she drives back to home.
5/8 > 11/16
Hope that works out for you
3 kilometres = 3,000 metres
so the ratio is 500 : 3000
= 1 : 3000/500
= 1: 6
Answer:
8
Step-by-step explanation:
The mode is the number that appears most in the data set.
8 appears twice while all the other only appear once.