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:

7 days in a week, so daily number of people infected would be:

To find daily rate, we set these 2 equations equal and solve for r:

That is 0.02*100 = 2% daily
2nd answer choice is right.
The answer is 7
1/7 of 49 is 7
Answer:
C) 65,535
Step-by-step explanation:
You can add up the 8 terms ...
3, 12, 48, 192, 768, 3072, 12288, 49152
to find their sum is 65535.
_____
<em>Estimating</em>
Knowing the last term (49152) allows you to make the correct choice, since the sum will be more than that and less than double that.
_____
<em>Using the formula</em>
You know the formula for the sum of a geometric sequence is ...
S = a1(r^n -1)/(r -1)
where a1 is the first term (3), r is the common ratio (4), and n is the number of terms (8).
Filling in the values, you find the sum is ...
S = 3(4^8 -1)/(4-1) = 4^8 -1 = 65535
3n^2 sqrt 5n
hope that helped (:
Answer:
34 meters
Step-by-step explanation:
h
=
−
5
t
2
+
23
t
+
10
At
t
=
3
, height of the rocket will be
−
5
⋅
3
2
+
23
⋅
3
+
10
=
−
45
+
69
+
10
=
34
meters.