20,000 = P ( 1 + 0.1 )^4
20,000 = P * 1.1^4
20,000 = P * 1.461
P = 20,000 : 1.461 ≈ $13,689.25
Answer: Miranda needs to put now in the bank $13,689.25
Answer:x=17
Step-by-step explanation:
Set 6x+5+5x-12 equal to 180
Simplify into 11x-7=180
Add 7 to both sides to get 11x=187
Divide both sides by 11 to get x=17
Answer:
Step-by-step explanation:
x²- y² = (x+y) (x-y)
x² + xy = x(x+y)
x² + 2xy + y² = (x+y) (x+y)
Answer:
0
Step-by-step explanation:
Find the following limit:
lim_(x->∞) 3^(-x) n
Applying the quotient rule, write lim_(x->∞) n 3^(-x) as (lim_(x->∞) n)/(lim_(x->∞) 3^x):
n/(lim_(x->∞) 3^x)
Using the fact that 3^x is a continuous function of x, write lim_(x->∞) 3^x as 3^(lim_(x->∞) x):
n/3^(lim_(x->∞) x)
lim_(x->∞) x = ∞:
n/3^∞
n/3^∞ = 0:
Answer: 0