Find the unit price.A 6-pack of 4-oz containers of yogurt costs $2.99. Find the unit price, rounding to the nearest cent.

A. $0.75/oz
B. $0.12/oz
C. $0.50/oz
D. $0.19/oz


Answer: B

Mathematics

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Find the component of u along v if u = (-6,7) and v = (3,4).

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Find the principal unit normal vector N for the curve r(t).r(t) = (4 sin t)i  + (4 cos t)j + 8k

A. N = (-cos t)i - (sin t)j B. N = (sin t)i + (cos t)j C. N = (-sin t)i - (cos t)j D. N = (-sin t)i + (cos t)j

Mathematics

For the restaurant bill, estimate the tip. Then find the exact amount of the tip. State your answers to the nearest hundredth.The restaurant bill is $27.94. Give the estimate of a 15% tip and the exact amount of a 15% tip.

A.

Estimate: $6.00Exact: $5.59

B.
Estimate: $4.50Exact: $4.19

C.
Estimate: $7.50Exact: $6.99

D.
Estimate: $3.00Exact: $2.79

Mathematics

A certain tree grows by 2/t + e(-t2/2) feet per year, where t is the time in years. Use Simpson's rule with whole year intervals to estimate the total growth during the stated time interval.From t = 1 to t = 3

A. 3.5 ft B. 3.94664 ft C. 2.59378 ft D. 2.14706 ft

Mathematics