PreCal Semester 1

Front

What is the expression for exponential growth after 't' weeks if a peach doubles in size every week and starts at 70 inches?

Back

70(2)^t

Front

Solve for x: 2^(x+6) = 2^5

Back

x = -1

Front

What is the decay factor for a population decreasing at a rate of 5%?

Back

0.95

Front

Condense the expression log(a) + log(b) into a single logarithm.

Back

log(ab)

Front

If a population of fish starts at 8000 and decreases by 6% per year, what is the formula to find the population after 't' years?

Back

8000(0.94)^t

Front

What is the formula for exponential decay?

Back

N(t) = N0 * e^(-kt) where N0 is the initial amount, k is the decay constant, and t is time.

Front

Define logarithm in terms of exponents.

Back

If b^y = x, then log_b(x) = y.

Front

What is the relationship between exponential functions and logarithmic functions?

Back

They are inverses of each other.

Front

How do you express a population that doubles every year mathematically?

Back

N(t) = N0 * 2^t

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt) where A is the amount, P is the principal, r is the rate, n is the number of times interest is compounded per year, and t is the time in years.