Answer:
$15.5
Step-by-step explanation:
let a = price of one orchid plant
8 orchids would cost 8 x a = 8a
12 orchids would cost 12 x a = 12a
Let b = price of one lily plant
12 lilies would cost 12 x b = 12b
8 lilies would cost 8 x b = 8b
8a + 12b = 362 -- eqn 1
12a + 8b = 388 -- eqn 2
to solve, multiply equation 1 by 8 and equation 2 by 12
64a + 96b = 2896 equation 3
144a + 96b = 4656 equation 4
substract equation 4 from 3
80a = 1760
a = $22
Substitute for a in eqn 1 and solve for b
8(22) + 12b = 362
b = $15.5
Answer:
25 months
Step-by-step explanation:
We can use the amortization formula to solve for t.
That formula tells you the monthly payment as a function of interest rate (r=.14), compounding periods per year (n=12), principal borrowed (P=4200), and number of years (t). Using the given values, we have ...
200 = 4200(r/n)/(1 -(1 +r/n)^(-nt))
1 -(1 +r/n)^(-nt) = 4200(r/n)/200
1 -21r/n = (1 +r/n)^(-nt)
log(1 -21r/n) = -nt·log(1 +r/n)
-log(1 -21r/n)/log(1 +r/n) = nt . . . . . . the number of months we want
-log(1 -21(0.14)/12)/log(1 +0.14/12) = nt = 24.23
It will take Daisy about 25 months to pay of her credit card.
Answer:
[5, ∞)
Step-by-step explanation:
Range is the set of y-values that can be outputted by function f(x).
We see that our y-values span from 5 to infinity. Since 5 is closed dot, we include it in our range:
[5, ∞) or y ≥ 5