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Using simple interest, it is found that she needs to earn $2,391.07 during the summer.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
A(t) = A(0)(1 + rt)
In which:
- A(0) is the initial amount.
- r is the interest rate, as a decimal.
For this problem, the objective is to have <u>$1200 in 3 months = 0.25 years</u>, hence the parameters are given as follows:
A(0.25) = 1200, t = 0.25, r = 0.03.
Hence we have to solve for A(0):
A(0)(1 + 0.03 x 0.25) = 1200
A(0) = 1200/(1 + 0.03 x 0.25)
A(0) = $1,191.07.
She also needs to earn $1,200 to pay the first-semester bill on time, hence:
1200 + 1191.07 = $2,391.07.
She needs to earn $2,391.07 during the summer.
More can be learned about simple interest at brainly.com/question/16646150
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You have to combine like terms (terms that have the same variable(x,y....) and power/exponent)²³
(4x³ - 4 + 7x) - (2x³ - x - 8) Distribute -1 into (2x³ - x - 8)
(4x³ - 4 + 7x) + (-)2x³ - (-)x - (-)8 (two negative signs cancel each other out and become positive)
(4x³ - 4 + 7x) - 2x³ + x + 8 Now combine like terms
4x³ - 2x³ + 7x + x - 4 + 8 (I rearranged for the like terms to be next to each other)
2x³ + 8x + 4 It is equivalent to B
Combine like terms
(I rearranged for the like terms to be next to each other)
It is equivalent to D
(x² - 2x)(2x + 3) Distribute x² into (2x + 3) and distribute -2x into (2x + 3)
(x²)2x + (x²)3 + (-2x)2x + (-2x)3
When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together
2x³ + 3x² - 4x² - 6x Combine like terms
2x³ - x² - 6x It is equivalent to A
[Info]
When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (You can combine the exponents only if they have the same variable)
For example:
(You can't combine them because they have different exponents of y and x)
The answer is C because if you substitute in X-6 for the y in the first equation (since X-6 is also equal to y), you get 2x=16 which means x=8. There is only one option where 8 is equal to X, but just to check you can substitute it back into either of the original equations to make sure that y=2.
Answer:
it should be 67/65 or if in mixed number form : 1 2/65
