Hello! The formula for simple interest is prt. That means you multiply the principal (initial amount) by the rate (simple interest percentage), by the amount of time (could be in months or years). So, the loan is $3,750 and the rate is 8.25% for 9 months. 9 months is 3/4 of the year, because there are 12 months in 1 year and 9/12 is 0.75. Let's multiply. 3,750 * 8.25% (0.0825) is 309.375 Now, multiply that number by 0.75 to get 232.03125 or 232.03 when rounded to the nearest hundredth (cent). The amount of simple interest is $232.03.
Answer:For the first one 26.73 would turn into 27 and 89.42 would stay 89
Step-by-step explanation: Any number that is 5 or greater can be used to round any number.
Answer:
Cuatro es la respuesta también conocida como d
Answer:
15 boys
Step-by-step explanation:
Whatever number one side of the ratio is multiplied by, the other side has to be multiplied by that same number. So, we have to find the number that 4 is multiplied by to get 20. We can represent this as an equation, where the unknown number is x:
4x = 20
Divide both sides of the equation by 4 to find the value of x:
x = 5
4 was multiplied by 5 to get 20.
To find the number of boys, multiply 3 by 5:
3 * 5 = 15
If there are 20 girls, there will be 15 boys.
2x2 + -4x + -3 = 0 Reorder the terms: -3 + -4x + 2x2 = 0 Solving -3 + -4x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -1.5 + -2x + x2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -2x + 1.5 + x2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -2x + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2x + x2 = 0 + 1.5 -2x + x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -2x + x2 = 1.5 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = 1.5 + 1 Reorder the terms: 1 + -2x + x2 = 1.5 + 1 Combine like terms: 1.5 + 1 = 2.5 1 + -2x + x2 = 2.5 Factor a perfect square on the left side: (x + -1)(x + -1) = 2.5 Calculate the square root of the right side: 1.58113883 Break this problem into two subproblems by setting (x + -1) equal to 1.58113883 and -1.58113883.
Subproblem 1
x + -1 = 1.58113883 Simplifying x + -1 = 1.58113883 Reorder the terms: -1 + x = 1.58113883 Solving -1 + x = 1.58113883 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 1.58113883 + 1 Combine like terms: -1 + 1 = 0 0 + x = 1.58113883 + 1 x = 1.58113883 + 1 Combine like terms: 1.58113883 + 1 = 2.58113883 x = 2.58113883 Simplifying x = 2.58113883
Subproblem 2
x + -1 = -1.58113883 Simplifying x + -1 = -1.58113883 Reorder the terms: -1 + x = -1.58113883 Solving -1 + x = -1.58113883 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -1.58113883 + 1 Combine like terms: -1 + 1 = 0 0 + x = -1.58113883 + 1 x = -1.58113883 + 1 Combine like terms: -1.58113883 + 1 = -0.58113883 x = -0.58113883 Simplifying x = -0.58113883
Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.58113883, -0.58113883}
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