You Invest $2,500 in Your Nephew's Catering Business

question 107

Short Answer

You invest $2,500 in your nephew's catering business. He guarantees you a minimum return at a continuous interest rate of 4%. Of course, if the business continues to thrive, you will earn at a higher rate.
a) Write a differential equation for the minimum amount, B, of your return on investment at time t.
b) Solve the differential equation.
c) Graph the solution.

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Definitions:

Watery Sac

A fluid-filled bladder or cyst that can form in various parts of the body, often benign.

Primitive Streak

Ectodermal ridge in the midline of the embryonic disk, from which arises the mesoderm by the inward and then lateral migration of cells.

Epiblast Cells

Cells in the early embryo that give rise to the tissues of the body.

Mesoderm

Middle of the three germ layers of an embryo.