Given That A Randomly Chosen Card From A Standard Deck Of 52 Cards Is Lessthan 7, What Is The Probability
Considering the interest on each amount, the amount borrowed from the first bank is $6,000 and from the second bank is $14,000.
How to Solve a Problem involving Simple Interest?
Let’s call the amount borrowed from the first bank “x” and the amount borrowed from the second bank “y”. We know that:
x + y = $20,000 (the total amount borrowed)
We also know that the total interest paid is $1845 and the interest rate for the first bank is 3% and the interest rate for the second bank is 3.5%
To find the interest paid by each bank, we can use the formula for simple interest:
Interest = Principal x Interest Rate x Time (in years)
From the first bank, we can calculate the Interest paid as:
x * 0.03 * 3 = 0.09x
From the second bank, we can calculate the Interest paid as:
y * 0.035 * 3 = 0.1025y
We know that the sum of the interest paid from the two banks is $1845
0.09x + 0.1025y = 1845
We know that the sum of the amount borrowed from the two banks is $20,000
x+y = 20000
so we have two equations:
0.09x + 0.1025y = 1845
x + y = 20000
We can solve this using the method of elimination or substitution.
x = (1845 – 0.1025y)/0.09
and then substitute it to the second equation
(1845 – 0.1025y)/0.09 + y = 20000
Solving the equation we get y = $14,000 and x = $6,000
So the amount borrowed from the first bank is $6,000 and from the second bank is $14,000.
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