Answer: 56/81
Step-by-step explanation:
in the attachment
<span>Given
situation:
=> A deadler paid $10 000 for a boat at an auction.
=> At the dealership, a sales person sold the boat for 30% more than the
auction price
=> 10 000 dollars + 30%
=> Then the salesperson received a commission of 25% of the difference
between the auction price and the dealership price
=> 10 000 + 25%
Let’s find the solution
=> 10 000 x .30 = 3000
=> 10 000 + 3 000 = 13 000, he sell it for this price
=> then he received a commission
=> 13 000 – 3 000 = 10 000
=> 10 000 x .25
=> 2500 , his commission </span>
Answer:
The boat is approaching the dock at rate of 2.14 ft/s
Step-by-step explanation:
The situation given in the question can be modeled as a triangle, please refer to the attached diagram.
A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.
The length of rope from bow to pulley is 13 feet that means y = 13 ft.
We know that Pythagorean theorem is given by

Differentiating the above equation with respect to time yields,


dx/dt = 0 since dock height doesn't change


The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s
First we need to find z
z² = (5)² + (13)²
z² = 194
z = √194
z = 13.93 ft
So,



Therefore, the boat is approaching the dock at rate of 2.14 ft/s
Answer:
a*b = 1/2
a/ b = 8/9
Step-by-step explanation:
a = 0.66666 and b = 0.75
To multiply it we write the decimal numbers in fraction form
a= 0.666666...
Multiply by 10 on both sides
10 a = 6.66666...
a = 0.66666...
Subtract the second equation
9a = 6
divide by 9 on both sides

so 0.6666 = 2/3
Now we convert 0.75 into fraction form

Multiply top and bottom by 100 to remove decimal

so 0.75 is 3/4
a= 2/3 and b = 3/4


1.98
1.98*100
198
Multiplying by 1.98 is the same as increasing by 198%.