<h3>
Answer: 0.1319</h3>
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Work Shown:
Side note: you can use the nCr formula to compute ; however, it's much quicker to use the shortcut formula . You can also use Pascal's Triangle to find the value of
The number of ways that he can make the fruit salad if it must contain watermelon is 35.
<h3>What is Permutation and combination?</h3>
Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.
The salad contains water melon, now we have to select 4 more fruits out of 7.
Using combination
= n! / r! (n-r)!
= 7!/ 4! (7-4)!
= 7*6*5*4! / 4! * 3*2
= 35
Hence, number of ways that he can make the fruit salad if it must contain watermelon is 35.
Learn more about Permutation and combination here:
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The value of the car after 10 years is $5557.8.
What is depreciation?
Depreciation refers to the reduction in the value of an asset over time and such valued reductions are reflected in the Balance sheet at the year ended.
Given
A new car is purchased for 23700 dollars.
The value of the car depreciates at 13.5% per year.
According to the question,
The value of the car depreciates therefore the amount of the car is determined by the formula,
Where, P = $23700, r = 13.5% and t =10 years
Substitute all the values in the formula,
Hence, the value of the car after 10 years is $5557.8.
To know more about Percentages click the link given below.
brainly.com/question/14675742
Answer:
Below
Step-by-step explanation:
● x-20 = y+20 (1)
● 2(y-22) = x+22 (2)
This is a system of simulataneous equations
Let's simplify the expressions first
● x -20 = y + 20 (1)
Add 20 to both sides
● x -20 + 20 = y+20 +20
● x = y + 40 (1)
● 2(y-22) = x+22 (2)
● 2y - 44 = x +22
Substrat 22 from both sides
● 2y-44-22 = x+22-22
● 2y -66 = x (2)
This is the new system:
● x = y+40 (1)
● x = 2y-66 (2)
Substract (2) from (1)
● x-x = y+40-(2y-66)
● y+40-2y+66 = 0
● -y +106 = 0
● y = 106
Replace y with 106 in (1)
● x = y +40
● x = 106+40
● x = 146
So the solutions are (146,106)
Answer:
You can have a cube with sides that mesure 2cmx2cm or a rectangle 1cmx4cm.
Step-by-step explanation: