Which are equivalent expressions?

1 answer:

6 0

Equivalent Expressions are expression that have the same value on both side of the equal sign.

Expression 1:
First simplify both sides of the expression. One of them are already fully simplified.

8x-4y=4(-y+2x)
8x- 4y=-4y+8x

This expression IS an equivalent expression.

Expression 2:
Do the same as in expression one (we will be simplifying all of the expressions).

8x+4y=4(2x+y)
8x+4y=8x+4y

This expression IS an equivalent expression.

Expression 3:

4x-8y=4(-x+2y)
4x-8y=-4x+8y

This expression IS NOT an equivalent expression.

Expression 4:

4x+8y=4(x+2y)
4x+8y=4x+8y

This expression IS an equivalent expression.

Expression 5:

4x+8y=4(8xy)
4x+8y=32xy

This expression IS NOT an equivalent expression.

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Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They

MariettaO [177]

The question is incomplete. The complete question is :

Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Jaina $300 7% 3 Once a year Tomas $400 4% 3 Once a year. Which pair of equations would correctly calculate their compound interests?

Solution :

It is given that Jaina and Tomas wants to open an account by depositing a principal amount for a period of 3 years and wanted to calculate the amount they will have using the compound interest formula.

So for Jiana :

Principal, P = $300

Rate of interest, r = 7%

Time, t = 3

Compounded yearly

Therefore, using compound interest formula, we get

$A=P\left(1+\frac{r}{100}\right)^{t}$