Yes initial amount is 2044 (in millions)
Since the function is from 2000 then you can set it up as
B(t)=2044*a^t
To solve for "a" use the second number given, 3846, and since this value is 5 years after 2000 t=5
so we plug in these values
3846=2044*a^5
we now solve for a
first, divide by 2044
3846/2044=a^5
next, we take the 5th root
<span>5sqrt(3846/2044) = a
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51.65 to the nearest whole number
After the whole number 51, the next digit is 6, and since this is more than 5. So we round up the 51 to 52.
51.65 ≈ 52 to the nearest whole number.
Step 1 : Setting up the problem
Write the coefficients of the dividend in the same order. For missing terms, enter the co-efficient as zero. Set the divisor equal to zero and use that number in the division box.
The problem now looks as follows:
-1 | 12 5 3 0 -5
Step 2 : Bring down the first co-efficient and write it in the bottom row.
-1 | 12 5 3 0 -5
______________________ 12
Step 3 : Multiply the first coefficient with the divisor and enter the value below
the next co-efficient. Add the two and write the value in the bottom row.
-1 | 12 5 3 0 -5
_____-12_______________ 12 -7
Step 4 : Repeat Step 3 for rest of the coefficients as well:
-1 | 12 5 3 0 -5
____________7 ___________ 12 -7 10
-1 | 12 5 3 0 -5 ______________ -10______ 12 -7 10 -10
-1 | 12 5 3 0 -5 ____________________ 10_ 12 -7 10 -10 5
The last row now represents the quotient coefficients and the remainder. Co-efficients of Quotient are written one power less than their original power and the remainder is written as a fraction.
Answer :12x^3-7x^2+10x-10+5/(x+1) where the last term denotes the remainder and the rest is the quotient.