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Paul invests $15,000 at the interest rate of 7.5% per year, compounded continuously. A) Find amount after five years. B) How long will it take to double amount invested?
What kind of function is this and find initial population of town? During what year was town's population largest and what was population at that time? Illustrate work where necessary.
Graph the system of inequalities and state whether graph is bounded or unbounded and write corner points. x is more than or equal to 0.
Find whether system is consistent or inconsistent. If it is consistent, provide solution. Type 1st, 2nd and 3rd row equation it represents. {1 0 0 | -6} {0 1 0 | 8} {0 0 0 | -5}.
Linear programming problem: minimize z= 6x+2y subject to x>0,y>0,x+y>4, x<9,y<8 Determine minimum value of z? and at what points it happens?
Oopulation of california was 10290518 in 1940 and 23626378 in 1985. Suppose population increases exponentially. Determine time required for population to double (in years).
The bridge is built in a shape of the parabolic arch. Bridge arch has the span of 142 feet and the maximum height of 35 feet. Determine height of arch at 20 feet from its center.
Demand-price relationship for weekly movie rentals at the convenience store is n(p) = 500/p where n(p) is demand and p is price. Compute and explain elasticity if movie rental fee increases from $1.
Studies illustrate that concentration (in mg/cm^3 of blood) of aspirin in the typical person is associated to time (in h) after aspirin reaches maximum concentration by equation In c = In 20 - 0.95t
Shortest distance occurs at point on line whoes segment joining given point is perpendicular to line. Determine distance between line y=2x+1 and the point (4,4).
When the certain drug is taken orally, concentration of drug in patient's bloodstream after t minutes is provided by C(t) = 0.06t - 0.0002t^2.
verify a-b/a+b=x-y/x+y B.) law of sines and reply from part a to illustrate a-b/a+b=sinA-sinB/sinA+sinB. Utilize result in part a and sum to product formula to complete derivation.
Utilize Gauss-Jordan elimination to solve linear system. If system has infinitely many solutions, explain solution as the ordered triple involving the free variable
Draw and determine standard form of ellipse which passed through points (3,2) and (0,0). Center not at origin. Find focus and directrix line.
When tuning the piano, technician strikes the tuning fork for A above middle C and sets up the wave motion which can be approximated by y=0.001sin(pie)t, where t is time in seconds.
As the result of installation of noise suppression materials, noise level in the auditorium was decreased from 93dB to 80dB. What percent decrease in intensity level of noise is due to installation
If the weight hanging on the string of length 3 feet swings through 9° on either side of vertical, how long is arc through which weight moves from one high point to next high point?
How long will coffee temperature remain between 110 degrees and 130 degrees? Temperature is considered optimal drinking temperature. Which company would you suggest to restaurant? Why?
How many students are not getting any science, math, or english? How many students are getting exactly one science, math, or english?
Value V of the bank account in which $150 is invested at 3.00% interest, compound annually is provided by equation below where t is time in years. Determine value of account after three years. V= 1
Determine distance between cities. Suppose earth is the sphere of radus 4000 miles and that cities are on same longitude. One city is due north of other. cities SF, CA latitude 37, 47, 36 N and Seat
Take the 11 by 17-inch piece of paper and cut out 4 equal squares from corners. Fold sides to make the open box. Determine dimensions of box which has maximum volume.
Surveyor then estimates angle to top of radio tower on building and finds that it is 46*. Determine how much tall is radio tower?
The cable which is 26 feet long goes from ground to top of house and forms the angle of 48.7* with wall of house. How many feet tall is house?
For infinite geometric series below reply following questions: -1/3 + -1/6 + -1/12 + -1/24 + ... a) Determine common ratio, r. b) Describe why series converges based on its value of r. c) Determine