Write a proportion to find the distance from campsite 3 to the water
1 answer:
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Answer:
The number of different ways are 22! or 1,124,000,727,777,607,680,000.
Step-by-step explanation:
Consider the provided information.
We need to determine the number of different ways can a class of 22 second graders line up.
We need to select 22 second graders while taking 22 at a time.
So use the permutation formula:
Substitute n=22 and simplify.
Hence, the number of different ways are 22! or 1,124,000,727,777,607,680,000.
Answer:
The amount invested at 3% is 300 &
The amount invested at 2% is 100.
Step-by-step explanation:
Total yearly interest for the two accounts is: $11
Let x be the amount invested at 3%
& y be the amount invested at 2%
From the question we can get 2 equations as;
x = 3y --------------------------Equation 1
0.03x + 0.02y = 11 ----------Equation 2
Substitute for x in Equation 2 we get;
0.03 (3y) + 0.02y = 11
0.09y + 0.02y = 11
0.11y = 11
Divide the above equation by 0.11, we get;
y =
y = 100
Let us substitute the value of y in Equation 1 we get;
x = 3(100)
x = 300
Now to check our answer let us put in the simple interest formula. If we get the sum of the two interests equal to 11 then our answers are correct:
0.03 x 300 + 0.02 x 100
= 9 + 2
= 11
Hence the amount invested at 3% is 300 and the amount invested at 2% is 100.