Answer: 5 > k
Step-by-step explanation: When you're asked to solve an inequality like -45 < -9k, your goal should be the same as it was when solving equations which is to get <em>k</em> by itself on one side.
In this problem since <em>k</em> is being multiplied by -9 on the right side of the inequality, to get <em>k</em> by itself, we divide both sides by -9 but here is the rule you have to watch out for when solving inequalities.
When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign. So this less than in our original problem becomes greater than in our second step. I would recommend switching it as soon as possible so you don't forget.
Let's rewrite our original inequality.
-45 < -9k
On the right side, the -9's cancel and we're left with <em>k</em> and on the right side, -45 divided -9 is -5. So we have <em>5 </em><em>></em><em> k</em>.
Answer:
Step-by-step explanation:
15y+12x = 18 is equivalent to 5y+4x = 6
2x+3y = 12 is equivalent to -6y = 4x-24
one solution: (x,y) = (-21,18)
Answer:
The answer is 5.5, 6.0 and 8.0
Answer:
It'll take 7.5967 years to have $300 on that account.
Step-by-step explanation:
This problem involves a compounded interest compounded continuously, so in order to solve it we must use the formula for those cases as shown below:
M = C*e^(i*t)
Where M is the final value, C is the initial capital, i is the interest rate and t is the total time. We have:
300 = 250*e^(0.024*t)
e^(0.024*t) = 300/250
e^(0.024*t) = 1.2
0.024*t = ln(1.2)
t = ln(1.2)/0.024 = 7.5967
It'll take 7.5967 years to have $300 on that account.
Answer:
20%, 40%, 60%, 80%
Step-by-step explanation:
