Answer:
2,003,160
Step-by-step explanation:
We can see the key word greater and know to add.
If someone mixes 36 liters of orange juice and 45 liters of soda water, how many batches would they make?
1,620,757 + 382,403 = 2,003,160
Answer:
m=-4
Step-by-step explanation:
5m-10m=-10m+5m=-(10m-5m)=-5m=20
divide by 5 on both sides, -m=4
miltiply by -1 on both sides, m=-4
Answer:
38.88
Step-by-step explanation:
72% of 54
=
× 54
= 0.72 × 54
= 38.88
Answer: 4.2625
Step-by-step explanation:
11/320=x/124
11*124=320x
1364=320x
x=4.2625
Hopefully I was helpful!
Answer:
"f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily"
Step-by-step explanation:
<u>Complete Question:</u>
A virus that initially infected four people is spreading at a rate of 15% each week. The following function represents the weekly spread of the virus: f(x) = 4(1.15)x. Rewrite the function to show how quickly the virus spreads each day and calculate this rate as a percentage.
f(x) = 4(1.15)7x; spreads at a rate of approximately 1.5% daily
f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily
f(x) = 4(1.157)x; spreads at a rate of approximately 2.66% daily
f(x) = 4(1.02)x; spreads at a rate of approximately 0.2% daily
<u>Solution:</u>
The weekly number of people infected would be:
![f(x)=4(1.15)^x](https://tex.z-dn.net/?f=f%28x%29%3D4%281.15%29%5Ex)
7 days in a week, so daily number of people infected would be:
![f(x)=4(1+r)^{7x}](https://tex.z-dn.net/?f=f%28x%29%3D4%281%2Br%29%5E%7B7x%7D)
To find daily rate, we set these 2 equations equal and solve for r:
![4(1.15)^x=4(1+r)^{7x}\\1.15^x=(1+r)^{7x}\\1.15^x=((1+r)^7)^x\\1+r=1.02\\r=1-1.02=0.02](https://tex.z-dn.net/?f=4%281.15%29%5Ex%3D4%281%2Br%29%5E%7B7x%7D%5C%5C1.15%5Ex%3D%281%2Br%29%5E%7B7x%7D%5C%5C1.15%5Ex%3D%28%281%2Br%29%5E7%29%5Ex%5C%5C1%2Br%3D1.02%5C%5Cr%3D1-1.02%3D0.02)
That is 0.02*100 = 2% daily
2nd answer choice is right.