compound interest equation for annually compounded
A=final amount
P=principal
r=rate in decimal
t=time in years
given that
A=1550
P=1000
r=5.5%=0.055
find t
divide both sides by 1000
take ln of both sides
use ln rule
divide both sides by ln(1.055)
using a calculator, we get that t=8.18544 yrs
so about 8.2yrs
g(x) is a piecewise function in such a way that it changes how it's defined based on what x happens to be. There are three cases
Case A: g(x) = x-1 but only if (x is between -2 and -1; including -2 but excluding -1)
Case B: g(x) = 2x+3 but only when (x is between -1 and 3; including -1 but excluding 3)
Case C: g(x) = 6-x but only when
The input is x = 3 since we want to find the value of g(3). So we look at the 3 cases above (A,B,C) and determine that we use case C. Why? Because x = 3 makes true. Put another way, x = 3 is in the interval [3, infinty). So we'll use g(x) = 6-x to find that...
g(x) = 6-x
g(3) = 6-3
g(3) = 3
Answer: 3
3x + 6y = 10 is the equation to determine of an apple x and the price of an orange y
<em><u>Solution:</u></em>
Let the price of each apple = $ x
Let the price of each orange = $ y
Martha bought 3 apples and 6 oranges
She had $10 in her wallet which was enough money for the purchase
Thus the equation is:
Total amount = 3 apples(price of each apple) + 6 oranges(price of each orange)
Thus we get,
Thus the equation is found
