In this item, we let x be the amount that is deposited in the account that has a simple interest equal to 7%. With this representation, the amount that is deposited in the account with simple interest of 6% is equal to 12000 - x.
The amount of interest earned from the investment is calculated through the equation,
I = P x (i)
For the first investment,
I = (x)(0.07)
For the second investment,
I = (12000 - x)(0.06)
Adding up the interests,
800 = 0.07x + (0.06)(12000 - x)
The value of x from the equation is 8000.
<em>Therefore, the amount invested to that with 7% interest is $8000 and the amount invested to that with 6% interest is $4,000.</em>
Answer:
Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.
Step-by-step explanation:
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Answer:
81.9%
Step-by-step explanation:
(65.50 ÷ 79.99) X 100
Answer:
3/4−2/4 = 1/4
Step-by-step explanation:
tienes que encontrar un denominador común para restar las dos fracciones. espero que esto te haya ayudado.
Answer:
x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3
Step-by-step explanation:
Solve for x:
x + 4 + 1/x = (10 x)/7
Bring x + 4 + 1/x together using the common denominator x:
(x^2 + 4 x + 1)/x = (10 x)/7
Cross multiply:
7 (x^2 + 4 x + 1) = 10 x^2
Expand out terms of the left hand side:
7 x^2 + 28 x + 7 = 10 x^2
Subtract 10 x^2 from both sides:
-3 x^2 + 28 x + 7 = 0
Divide both sides by -3:
x^2 - (28 x)/3 - 7/3 = 0
Add 7/3 to both sides:
x^2 - (28 x)/3 = 7/3
Add 196/9 to both sides:
x^2 - (28 x)/3 + 196/9 = 217/9
Write the left hand side as a square:
(x - 14/3)^2 = 217/9
Take the square root of both sides:
x - 14/3 = sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
x = 14/3 + sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
Answer: x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3