Use the Rule of 72 to estimate the following: If you invested $1,000 and it doubled every 8 years, how much would you have after 32 years?

Find the value of 1715⋅211.though these numbers aren't quite as nice as the ones from the example or the previous part, the procedure is the same, so this is really no more difficult. give the numerator followed by the denominator, separated by a comma.

Asequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. if f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point) f(1) = 2 and f(n) = f(n − 1) + 4; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2n; n > 1 f(1) = 2 and f(n) = f(n − 1) + 4n; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2; n > 1 i will award !

Which of the following disjunctions is true? 4 + 4 = 16 or 6 - 5 = 11 4 · 3 = 7 or 3 - 2 = 5 8 - 5 = 13 or 7 · 2 = 12 7 - 4 = 11 or 6 + 3 = 9