Answer:
2/3
Step-by-step explanation:
To start, let's find the number of ways we can roll so that the red die shows a number larger than three. Simple counting shows there are 3 ways, and since we can pick anything for the green die, we have 18 ways. Now, if the green die shows a number less than three, we count again to get 2 * 6 or 12 ways. However, we need to subtract our overcounts, or when the red die shows a number larger than three and the green die shows a number less than three. The number of ways for this is 3 * 2 (We have already counted them, and we just need to multiply), or 6. So, we have 18 + 12 - 6 or 24 ways, and since there are 6 * 6 = 36 ways to roll them, the answer is 24 / 36 or 2 / 3.
The amount that was invested are at 3% = 400000, at 4% = 500000 and at 2% = 100000
<h3>How to solve for the amount invested</h3>
We have x + y + z = 1000000
((1+0.03)x - x)+ ((1+0.04)y - y) + ((1 + 0.02)z-z) = 34000
4z + x + z = 1000000
((1+0.03)4z - 4z)+ ((1+0.04)y - y) + ((1 + 0.02)z-z) = 34000
((1+0.03)4z - 1)+ ((1+0.04)y - 1) + ((1 + 0.02)z-1) = 34000
12/100z + 4/100y +2/100z = 34000
2y + 7z = 1700000
-2y - 10z = -2000000
2y + 7z = 1700000
Solve through the use of the simultaneous linear equation
z = 100000
y = 500000
x = 400000
The amount that was invested are at 3% = 400000, at 4% = 500000 and at 2% = 100000
Read more on compounding here:
brainly.com/question/2449900
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Answer:
10
Step-by-step explanation:
6^2+8^2=c^2 (c is the hypotenous)
100=c^2
c=10
The sum of given series is 44
<em><u>Solution:</u></em>
Given that we have to find the sum of the series
<em><u>Given series is:</u></em>
Substitute k = 1 to k = 4 to find the sum of the series
When k = 1:
When k = 2:
When k = 3:
When k = 4:
<em><u>Therefore, the sum of series is given as:</u></em>
Thus the sum of series is 44