farmer is growing corn in a field. The more fertilizer he spreads, the greater his yieldY , up to a limiting value of 100 bushels per acre. If he spreads x pounds of fertilizer per acre, the yield follows the differential equation 
where k is a constant.
(a) Write this first-order linear differential equation in standard form.
(b) Solve for Y (x) given that Y (0) = 40 .
(c) Suppose that for Y (10) = 70 . Use this to determine k.
(d) Find Y (20).
(e) Find x so that Y (x) = 80 . In other words, how many pounds of fertilizer per acre must be spread to yield 80 bushels per acre?
(a) Y ? + kY = 100Y
(b) 
(c) 0.069315
(d) 85 lb
(e) 99.76 or ~100 lb
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Write the number in standard form.8.45 × 10-4
A. 0.000845 B. -845,000 C. 0.00845 D. 0.0000845
Provide an appropriate response.Select a decimal percent with two digits and write it as a fraction. Select a fraction with a two-digit denominator and write it as a percent. Explain each step of your work.
What will be an ideal response?
Find the circumference of the circle. Use 3.14 or 
for ? as indicated.Use 3.14 for ?.
A. 7.222 mi B. 28.888 mi C. 16.611 mi D. 14.444 mi
Refer to the following recipe to first estimate the answer and then use multiplication or division to find the exact answer. Simplify. Old Grandma's Fork Cookies 1
cups brown sugar 1
cups white sugar 1
cups shortening 1 pinch salt 3 eggs 2
tsp soda 2
/> tsp cream of tartar 1
tsp vanillaCream sugars and shortening. Beat in remaining ingredients. Add flour to stiffen like regular cookie dough. Roll into balls, then flatten with a fork. Cook until brown.If the recipe is tripled, how much soda will be needed?
A. Estimate: 9 tsp
Exact: 7
tsp
B. Estimate: 9 tbsp
Exact: 7
tbsp
C. Estimate: 6 tsp
Exact: 6
tsp
D. Estimate: 7
tsp
Exact: 9 tsp