The first option is your answer.
Sigma notation is just a fancy way to shorten a sum of a series of numbers using a set equation. The "n =" tells you where to start in the sequence and the top number tells you where to stop.
Step-by-step answer:
The base of the exponential function is 1.29 for 7 days, as in
f(x) = 86*(1.29)^x
The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely
f(x) = 86*1.29^(x/7)
Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
we simplify by putting b=1.29, a=7 to get
f(x) = 86*(1.29^(1/7))^x
f(x) = 86*(1.037)^x since 1.29^(1/7) evaluates to 1.037
Rounding 1.037 to 1.04 we get a (VERY) approximate function
f(x) = 86 * (1.04^x)
1.04 is very approximate because 1.04^7 is supposed to get back 1.29, but it is actually 1.316, while 1.037^7 gives 1.2896, much closer to 1.29.
Answer:
75 ft / none of these (43)
Step-by-step explanation:
formula: (area =1/2bh)
so you take base × height and then take half of that number (divide by 2)
20 is 1/5 of 100 so do 20x5=100 and 15x5=75
So there is a 75% chance she will make the goal
We have to write
In log form
To convert exponential equation to log equation, we have to use the following rule
So we will get
or
And that's the required log form .
