Answer:
T=48
Step-by-step explanation:
Now since I don’t know the height at the present moment, I’ll just make this ratio (of the tree) be represented as x/36. Which is saying that for every ‘x’ amount of feet, there will be 36 feet of shadow.
so we have 4/3=x/36. If I cross multiply 36 and 4, then divide the product by 3, then ‘x’ will be 48.
Answer:
Assume a business man banks an amount of principle P, for n years at a compound interest of r%. His accumulated amount after n years will be given by formula:
- P is the principle
- r is the interest
- n is the period
Note that compound interest borrows a hint from the geometric progression series.
- for 5 years, at rate of 10% with principle of 5000;
Accumulated = 5000(1 + 10%)^5
Accumulated = 5000(1 + 0.1)^5
Accumulated = 5000 × 1.61
Accumulated = 8052.55 /=
Answer:
The solution to the equation system given is:
- <u>x = 2</u>
- <u>y = -1</u>
Step-by-step explanation:
First, we must know the equations given:
- 2x + 3y = 1
- 3x + y = 5
Following Crammer's Rule, we have the matrix form:
Now we solve using the determinants:
Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:
- 2x + 3y = 1
- 2(2) + 3(-1)= 1
- 4 - 3 = 1
- 1 = 1
And, with the second equation:
- 3x + y = 5
- 3(2) + (-1) = 5
- 6 - 1 = 5
- 5 = 5