The following data were obtained for the growth of a sheep population introduced into a new environment on the island of Tasmania.
t (year) 1814 1824 1834 1844 1854 1864
P(t) 125 275 830 1200 1750 1650
Find the natural cubic splines that pass through these data points by doing the following:
(a) Translate the time coordinate to start from ť = 0
(b) Derive an appropriate system of spline equations

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step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

.95

step-by-step explanation:

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: