Solve.John owns a hotdog stand. His profit is represented by the equation 
with P being profits and x the number of hotdogs sold. What is the most he can earn?
A. $49
B. $111
C. $90
D. $104
Answer: D
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (4t sin t + 4cos t)i + (4t cos t - 4 sin t)j - 5k
A. T = (-cos t)i - (sin t)j; N = (sin t)i + (cos t)j B. T = (-cos t)i - (sin t)j; N = (sin t)i - (cos t)j C. T = (cos t)i + (sin t)j; N = (-sin t)i + (cos t)j D. T = (cos t)i - (sin t)j; N = (-sin t)i - (cos t)j
Find the amount of premium retained by the company and the amount of refund to the insured using proration.Jessica's Boutique pays an annual fire insurance premium of $786. The insurance company cancels the policy after 5 months.
A. $393.00, $393.00 B. $323.33, $462.67 C. $262.00, $524.00 D. $327.50, $458.50
Use a calculator to solve. Round to four decimal places.101.6283
A. 0.4876 B. 42.4913 C. 0.2117 D. 5.0943
Solve the problem.The sum of three numbers is 12. If the second number is subtracted from the sum of the first and third numbers, the result is 2. If the third number is subtracted from the sum of the first and second numbers, the result is 4. Find the three numbers.[Hint: let x represent the first number, y the second number, and z the third number. Use the given conditions to write and solve a system of equations.]
A. x = 3, y = 5, z = 4 B. x = 1, y = 7, z = 4 C. x = 4, y = 6, z = 2 D. x = 4, y = 5, z = 3