The function that represents the amount of money in the account after t years is f(t) = $2000(1.0033^12t).
The money in his account in five years would be $2442.
The number of years it would take to have a value over $2500 is 6 years.
<h3>What is the future value of the account?</h3>
The formula for calculating future value:
FV = P (1 + r)^nm
- FV = Future value
- P = Present value
- R = interest rate
- m = number of compounding
- N = number of years
f(t) = $2000(1.0033^60) = $2442
f(6) = $2000(1.0033^72) = 2535.41
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Answer:
60
Step-by-step explanation:
In the function, the growth factor is "a", the base of the exponent. When the exponent is increased by 1, the value is multiplied by "a".
f(7) = a·f(6) = 4·15
f(7) = 60
_____
As you know, the exponent signifies repeated multiplication. So, an increase of 1 in the exponent means the base is part of the product one more time:
a^6 = a·a·a·a·a·a
a^7 = a·a·a·a·a·a·a = a·(a^6)
Let's clear out the fraction(s):
Mult. all 3 terms by 3, obtaining 18 = 3x + 2. Simplifying, 16 = 3x.
Then x = 16/3 (answer).
Check: does (16/3) + (2/3) = 6? Yes, since 18/3 = 6.
Answer:
country CDs. The table gives the probability of randomly picking a CD of each type from. ... Music Style Probability of Picking a CD pop 0.2 rock 0.1 metal 0.3 country 0.4 Rachel picks a CD 150 times, replacing each pick before the next draw.
Step-by-step explanation:
If the number begins by being rational, multiplying by 0.5 will not change whether or not it is rational. It will remain rational.
That would include any even number 12 * 0.5 = 6
12 started out as rational, so the answer is rational (6)
Any odd number is also rational
23 * 0.5 = 11.5
23 and 11.5 are both rational.
3.636363636 ... is rational so when multiplied by 0.5 the result will be rational.
1.818181818....
So if we start with something irrational like pi
then pi * 0.5 is not rational.
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