Thirteen=41 base 3 what is the prpblem here
1 answer:
Answer:
The problem is that 4 is not a valid number representation for base 3, the digit numbers in base 3 can be 0, 1 and 2.
The correct representation is
Step-by-step explanation:
The idea to convert from decimal number into other base number is to work with division and to use the remainder to make the number on the new base, and to remember to avoid using the quotient as one of the digits on the new base until we get a quotient smaller than the base.
On this case we start dividing 13 by 3, the result is 4, but the remainder is 1, so the first digit on base 3 is the remainder 1.
Next we use the result which is 4 and we repeat the division by 3, we get 1 for the remainder that will make the second digit, and we also get 1 for the result which will be the third digit counting from right to left, thus we get
So notice that stopping at 41 was the mistake we cannot have 4 in base 3.
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Answer:
The explicit formula that can be used is
The account's balance at the beginning of year 3 is
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Answer:
Accumulated amount will be $2504.90.
Step-by-step explanation:
Formula that represents the accumulated amount after t years is
A =
Where A = Accumulated amount
= Initial amount
r = rate of interest
n = number of times initial amount compounded in a year
t = duration of investment in years
Now the values given in this question are
= $1000
n = 12
r = 4.6% = 0.046
t = 20 years
By putting values in the formula
A =
=
=
= 1000×2.50488
= 2504.88 ≈ $2504.90
Therefore, accumulated amount will be $2504.90.