Explain why the amount of money in the account at the end of t years is given by the formula: p = p0(1 + r/n)^nt

See  below.

Step-by-step explanation:

This is the formula for the value of an investment with compound interest.

PO is the initial amount invested, P is the amount after investing t years , r is  yearly rate of interest (as a fraction) and n is the number of times interest is paid per year.

An example using values will serve to explain it further.  If the rate is 2% ( which = 0.02) per year and  the interest is added to the account every 6 months ( twice a year)  then, in the parentheses we have ( 1 + 0.02/2). The 1 is there because we are talking about the amount of money PLUS the interest. Now if we are dealing with 5 year's investment , the exponent nt will be 2*5 = 10 because  the interest is paid 2 times a year over 5 years: - 10 payments. So if we invest 10,000 at 2% interest over 5 years with 2 interest payments a year the total after 5 years  = P = 10,000(1 + 0.02/2)^10 = 11,046.22.

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4