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
Write 6% as a decimal : 6% = 0.06
Multiply the price of the shirts by 0.06:
Tax = 24.00 x 0.06 = $1.44
Answers:
1) The constant of the polynomial expression represents the:
number of group members when the site launches
2) The binomial (1+7x) is a factor of the polynomial expression and represents the:
number of members per group after x months
Solution:
1) The estimate for the total number of groups members (y) is given by the polynomial expression:
y=14x^2+37x+5
where x is the number of months since the site's launch.
When the site launchs:
x=0→y=14(0)^2+37(0)+5=14(0)+0+5=0+0+5→y=5
The number of group members when the site launches is 5
And the problem says: "The site will launch with five study groups"
2) The site will launch with five study groups, each with its creator as its only member, then the number of members per group is 1.
Richard estimates that seven new members will be added to each study group every month (x), then:
The number of members per group after x months will be: 1+7x
26 percent because there are a total of 200 gumballs. First you need to find the total amount of gumballs which is 200. You then know that 52/200 are red. Then you divide both numbers by two to get 26/100 which equals 26 percent.
Answer: B 2/3
Step-by-step explanation:
1/6 + 1/2
