(21 + 34 + x + 25 + 37 + 22) / 6 = 30
(139 + x) / 6 = 30 .....multiply both sides by 6
139 + x = 30 * 6
139 + x = 180
x = 180 - 139
x = 41......so during week 3, she rode her bike 41 miles
Answer:
$102,677.20
Step-by-step explanation:
The present value of an annuity due is determined by the following expression:
Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.
With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:
The present value of your winnings is $102,677.20.
Answer:
the 8 means there will be 8 zeros after it so
62.00000000
yw
For this case, the first thing we should do is use the following equation:
f (x) = 200 (1.03) ^ x
We substitute f (x) = 300:
300 = 200 (1.03) ^ x
We clear the value of x:
log1.03 (300/200) = log1.03 ((1.03) ^ x)
x = log1.03 (300/200)
x = 13.72
Answer:
the population will first reach 300 in about 13.72 years.
Answer:
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula 
. Substitute the x and y values of the given points into the formula and solve:
Thus, the slope is 
.
2) Now, use the point-slope formula 
to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for 
, 
, and 
.
Since represents the slope, substitute for it. Since and represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.
