If a new sweater sells for $49, find the total cost if you were charged 6% sales tax.
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<h3>Answer:</h3>
- f(1) = 2
- No. The remainder was not 0.
Synthetic division is quick and not difficult to learn. The number in the upper left box is the value of x you're evaluating the function for (1). The remaining numbers across the top are the coefficients of the polynomial in decreasing order by power (the way they are written in standard form). The number at lower left is the same as the number immediately above it—the leading coefficient of the polynomial.
Each number in the middle row is the product of the x-value (the number at upper left) and the number in the bottom row just to its left. The number in the bottom row is the sum of the two numbers above it.
So, the number below -4 is the product of x (1) and 1 (the leading coefficient). That 1 is added to -4 to give -3 on the bottom row. Then that is multiplied by 1 (x, at upper left) and written in the next column of the middle row. This proceeds until you run out of numbers.
The last number, at lower right, is the "remainder", also the value of f(x). Here, it is 2 (not 0) for x=1, so f(1) = 2.
The formula to find the amount is
Here A = amount
P is the principal
r is the rate
n is the number of years
Then to find the interest we subtract principal from amount.
Interest = A - P
Here
P= 2200, r = 3% = 0.03 , n = 6 years
Hence the interest earned = 2626.92-2200 = $426.92
Now if the total of $2200 was deposited in three banks then each account earns
Each account earns $142.31