15. [-I5 Points] DETAILS l MY NOTE If the demand function for math anxiety pills is p = D(x) : 3x + 58 and the corresponding supply function is p = 5(x) = 4x + 2 determine the gonsumer surplus at the market guilibrium point. 0 128 O 224 O 96 O 256 O 192 MY NOTES of 6% per year 16. [-15 Points] DETAlLS A math tee shirt business is expected to generate $48 compounded continuously, which expression below is t 5 0 e006] 48,000 e'o'3tdt 0 5, If the income is reinvested in the business at a rate ,000 in revenue per year for the next 5 year the end of 5 years? he total accumulated value of this income stream at 5 O 9\"] 48,000 e'O-OE't dt 0 5 Of 48,000 en'3tdt D 0 48,000 e0-3 5 O f 48,000 eO-Wdt 548.000 0 17. [-/5 Points] DETAILS MY NO A Math 110 student decides to make quarterly payments of $2,000 into a retirement account paying 2% interest per year compounded continuously. How much will the student have in their retirement account after 30 years? O 4.30 (20.6 - 1) 0.02 8,000 (20.6 - 1) 0.02 O 8,000 (20.6 + 1) 0.02 8,009 (1 - e-0.6) 0.02 0 4.30 ( 1 - e-0.6) 0.02 18. [-/5 Points] DETAILS MY NOTES Compute the average value of f(x) = (x + 6)ex/3 on the interval [9,30]. 0 35 e10 _ 1283 33 30 _ 12 29 7 33 30 - 1269 21 21 33 12 9 21 21 O 33 @10 12 3 21 21 DEC 13 tv A DI 20 F8 F1 F2 F3 F5 F6 F7 F9 F10 esc F421 21\" 19. [IS Points} DETAlLS 1 MY NOTES (the scholarship amount of $3,500 is awarded semiannually beginning 6 months rovide a semiannual scholarship to current students. I find the amount of the endowment the alumni are required to make now. A university alumni group wants to p t at a rate of 7% per year compounded continuously, from now, and the fund earns interes 0 $110,000 0 $70,000 C $100,000 0 $60,000 0 $80,000 20. [-/5 Points] DETAILS Determine whether each statement is true or false. (a ) If f( x ) dx = 9 then / 6f ( x ) dx = 50 . 10 OTrue OFalse (b) The area of the region enclosed by f(x) = x and the x-axis between x = -2 and x = 2 is equal to OTrue OFalse (c) The area of the bounded region enclosed by y = x3 and y = 4x is given by 24x-x3 ax. OTrue OFalse 10 ( d ) If f (x) dx = 9 then f ( x) + 6 dx = 39. OTrue OFalse (e) If 10 10 f ( x ) dx = 9 and g ( x ) dx = 2 then f ( x ) - 9 ( x ) dx = 7 . OTrue OFalse DEC O "tv 4 13