Answer:
The length of the waterline when hull speed is 4 knots per hour in feet is 2.985 feet.
Step-by-step explanation:
Let the function 
, where 
is the length of the waterline, measured in feet and 
is the hull speed of the boat, measured in knots per hour. If we know that 
, then the length of the waterline is:
The length of the waterline when hull speed is 4 knots per hour in feet is 2.985 feet.
Answer:
2/5 hours
Step-by-step explanation:
We can write a proportion to solve
1/10 hour x hours
---------------- = -------------------
1/2 package 2 packages
Using cross products
1/10 * 2 = 1/2 x
1/5 = 1/2x
Multiply each side by 2
1/5 * 2 = 1/2x *2
2/5 =x
2/5 hours
Answer: the total amount that you can earn in 15 years is $737245. Option C
Step-by-step explanation:
You receive an annual salary of $32,900 and each year, you are assured of a 5.5% raise. Assuming there was no raise, you get 100% of your previous salary each year. With a raise of 5.5%, you will get 100 + 5.5 = 105.5% of your previous salary for each year. This is a geometric progression and we want to determine the sum of 15 terms(15 years).
The formula for the sum of terms in a geometric progression is
Sn = [a(r^n - 1)]/ r - 1
Sn = sum of n terms
a = the first term
n = number of terms
r = common ratio
From the information given,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649 - 1)] / 0.055
S15 = 32900 × 1.23247649) / 0.055
S15 = 737245.0277
S15 = $737245
This is a table with 6 lines.
In each line, the number in the first column is the 'x' value.
All you have to do on each line is ...
--- substitute the 'x' value in (100 + 23x), simplify it,
and write the result in the middle column
then
--- substitute the 'x' number in 90(1.2ˣ) , simplify it,
and write the result in the last column.
On the first line, x=0.
100 + 23x = 100 + 0 = 100. Write 100 in the middle column.
90(1.2ˣ) = 90(1) = 90. Write 90 in the last column.
Then go on to the second line, where x=1.
You'll make it.
Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question the point is (-5,-2) and the slope is - 6/5
The equation of the line is
We have the final answer as
Hope this helps you
