19 has 2 factors (1,19)
21 has 4 factors (1,3,7,21)
23 has 2 factors (1,23)
25 has 3 factors (1,5,25)
you need the nearest number 25 that has 5 factors or more :28(1,2,4,7,14,28)
Answer:
It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.
Step-by-step explanation:
Use exponential decay formula:
A = P (1-r)t
A = amount decreased to
P = original amount
r = rate of decrease
t = time
6 ≥ 12 (1-0.10)t divide both sides by 12
0.5 ≥ (0.9)t take log of both sides
log (0.5) ≥ log (0.9)t power rule of logs lets the exponent t drop to front of log to become a factor
log (0.5) ≥ t log(0.9) divide both sides by log(0.9) which is negative so reverse the inequality sign
log (0.5) / log (0.9) ≤ t use calculator
6.57 ≤ t
It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.
check:
12 (0.9)7≈ 5.73
12 (0.9)6 ≈ 6.37
Answer:
Yes, they do
Step-by-step explanation:
Yes, y = 3x represents direct variation. The fact that the line (graph) of y = 3x goes through the origin (0,0) reinforces this statement.
6.12% compounded monthly equals 0.0612/12, or 0.0051 added monthly. So, $3500 invested for 4-1/2 years is:
3500 x (1.0051)^(48+6)=1.3161x3500=$4606.48
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