The balance a in a compound interest account with principal(p), interest rate(r), conversion rate(m) and time(t) is given by: a=p(1+r/m)^mt
suppose p= $1,000,000, r=2%/yr, m=2/yr
1) find the balance a when t= 3 years.
2) find the time t in case a= 2p. express t in simplified exact form using log notation, then estimate t to the nearest year. you may use log2= 0.3010 and log1.01= 0.00432

1)


2)

now time "t" when A = 2P, if A = 2P, that means A is twice as much as P
or in short, the accumulated amount, is double the Principal, or that simply means, the time when the investment doubled

now, when that happens, hmm neverminding 1,000,000, let's just take $1 only, when that happens that $1 deposited, became $2 with interests

and for the sake of time, is the same as when 1,000,000 became 2,000,000

so, now, to get "t", we'll use the "bare" log, which when the base is skipped, simply means log base10, now, any base will do, we could have used ln() or natural logarithm, or logarithm base"e", just pointing that out

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c