118. sami opens an account and deposits $100 into it at the end of each month. the account earns 2% per year compounded monthly. let sn denote the amount of money in her account at the end of n months (just after she makes a deposit). for example, s1 = 100 and s2 = 100(1 + 0.02 /12)+100
d. when will sami have at least $5,000 in her account? show work to support your answer.

The answer = 48.07 approx.

Step-by-step explanation:

b)

5000 = 100 (1 -( 1+ \frac{0.02}{12} )^n) / 1 - ( 1 + \frac{0.02}{12})

50 (- \frac{0.02}{12}) = 1 - ( 1 + \frac{0.02}{12} )^n

\frac{13}{12} = 1 + \frac{0.02}{12})^n

n = log(\frac{13}{12}) = log(1 + \frac{0.02}{12})^n

n = log(\frac{13}{12}) \ log(1 + \frac{0.02}{12})^n

The answer = 48.07 approx.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: