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3 years ago

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The equation of line WX is y = −2x − 5. Write an equation of a line perpendicular to line WX in slope-intercept form that contai

ns point (−1, −2). y = 1 over 2x + 3 over 2 y = negative 1 over 2x + 3 over 2 y = 1 over 2x − 3 over 2 y = − 1 over 2x − 3 over 2

1 answer:

Nezavi [6.7K]3 years ago

4 0

Good job im not in high school yet but yea

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Which expression is equivalent to 4^-5 • 3^-5 ?

valkas [14]

The expression equivalent to 4^-5 • 3^-5 is 12^-5

<h3>What are equivalent expressions?</h3>

Equivalent expressions are simply known as expressions with the same solution but different arrangement.

Given the index expressions;

4^-5 • 3^-5

Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.

This can be written as;

4(3) ^ -5

expand the bracket

12^-5

Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5

Learn more about equivalent expressions here:

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Six hundred pictures are taken at a photo shoot. Twelve percent of the pictures are black and white. Which equation can be used

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Step-by-step explanation:

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3 years ago

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3 years ago

$765.13 is deposited at the end of each month for 3 years in an account paying 2% Interest compounded monthly. Find the final am

Crank

Answer:

Option B.

Step-by-step explanation:

The future value formula, for an annuity, is:

$FV = \frac{P((1+r)^{n} - 1)}{r}$

An annuity means that a number of payments happen during the period(an year, for example).

P is the value of the deposit, r is the interest rate, as a decimal, and n is the number of deposits.

In this question:

Deposits of $765.13, so $P = 765.13$

Each month, for 3 years. An year has twelve months, so $n = 3*12 = 36$

2% Interest a year. An year has 12 months, so $r = \frac{0.02}{12} = 0.00167$

Find the final amount of the account.

$FV = \frac{765.13*((1 + 0.00167)^{36} - 1)}{0.00167} = 28,363.46$

The final amount of the account will be $28,363.46, which is option B.

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3 years ago