Asum of money is invested at 12% compounded quarterly. about how long will it take for the amount of money to double?
compound interest formula: v(t)=p(1+r/n)^nt

t = years since initial deposit
n = number of times compounded per year
r = annual interest rate (as a decimal)
p = initial (principal) investment
v(t) = value of investment after t years

p. s: explain, i have a couple problems like this so having an example to go off of would be nice. : )
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Synovec co. is growing quickly. dividends are expected to grow at a rate of 24 percent for the next three years, with the growth rate falling off to a constant 7 percent thereafter. if the required return is 11 percent, and the company just paid a dividend of $2.05, what is the current share price? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

When paul o’neill joined alcoa as ceo, he set a , that there would be zero workplace accidents. a lot of people in the organization thought this was impossible given how dangerous some aluminum-manufacturing jobs are, but alcoa’s safety record improved tremendously. as the board of governors of the american red cross considers planning, one option is to make strategic plans and then direct managers to align tactical and operational plans accordingly. another option is to have planning specialists managers across the organization make their own plans. why might this organization’s executives opt for the latter approach? check all that apply. (a) the environment is a dynamic one, and department and frontline managers can come up with more responsive plans than can central leadership. (b)resources will be better coordinated across the organization in support of the overall strategy.(c) senior leadership will have more control over the organization’s direction. (d)when managers come up with their own plans, they are likely to be more committed to following through on them.

What is the sequence of events that could lead to trade surplus