Answer:
About 27.5 minutes
Step-by-step explanation:
When looking at the graph, you can see that the red line intersects about 27.5 minutes with $55.
Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.
Answer: Kate = 40/3 Her father = 50
Step-by-step explanation:
Let Kate's age in the present be K
And Kate's father's age in the present be F
3(K+5) = F+5
6(K-6) = F-6
Rearrange the first equation to get
3K+15 = F+5
3K+10 = F
Substitute that into the second question
6K-36 = 3K+10-6
3K = 40
K = 40/3
So F = 3*40/3+10 = 50
5:15
Divide both sides by 5 to get it down to the lowest bases.
1:3
First, you should do the product first:
(-4.7)* (7.021)= -32.9987
Then, let's do the subtraction:
(-5.12)- (-32.9987)
= (-5.12)+ 32.9987
= 27.8787
Final answer: 27.8787
Hope this would help~
