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4 years ago

Solve for x for the linear pairs.

Mathematics

1 answer:

FrozenT [24]4 years ago

8 0

Answer:

X = 13

Step-by-step explanation:

Since this is a linear pair, it equals to 180 degrees.

7x + 37 + 4x = 180

11x + 37 = 180

-37 -37

11x = 143

11x/11 = 143/11

x = 13

Good luck on your form!

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Monica [59]

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Good luck!!!

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4 years ago

Alexis has a savings account that earns 2.1% interest compounded daily. If she opened the account 17 years ago with a deposit of

sergejj [24]

Compound Interest Formula: A = P(1 + r/n)^(n·t)

A = final amount r = rate, as a decimal (.021) t = number of years (17)

P = initial amount (2914.72) n = number of times compounded per year (365)

A = 2914.72(1 + .021/365)^(365·17) = $4165.20

Interest earned: $4165.20 - $2914.72 = $1250.48 <----- Answer

You might want to recalculate this, attempting to handle leap years, by replacing the number of times compounded per year with 365.25 and see if that has an effect

5 0

3 years ago

If g(x)=3x-2, find g(8)-g(-5)

Brut [27]

<h2>Answer:</h2> $g(8)-g(-5)=39$

<h2>Explanations:</h2>

Given the function

$g(x)=3x-2$

Get g(8) by substituting x = 8 into the function;

$\begin{gathered} g(8)=3(8)-2 \\ g(8)=24-2 \\ g(8)=22 \end{gathered}$

Get g(-5) by substituting x = -5 into the function

$\begin{gathered} g(-5)=3(-5)-2 \\ g(-5)=-15-2 \\ g(-5)=-17 \end{gathered}$

Take the difference in the result to have;

$\begin{gathered} g(8)-g(-5) \\ =22-\mleft(-17\mright) \\ =22+17 \\ =39 \end{gathered}$

Hence the difference between the given functions is 39

6 0

1 year ago

The area of a rectangular parking lot is represented by A = 6x^2 − 19x − 7 If x represents 15 m, what are the length and width o

Mekhanik [1.2K]

Answer:

The length and width of the parking lot are $\frac{46}{3}$ meters and $\frac{23}{2}$ meters, respectively.

Step-by-step explanation:

The surface formula ( $A$ ) for the rectangular parking lot is represented by:

$A = w\cdot l$

Where:

$w$ - Width of the rectangle, measured in meters.

$l$ - Length of the rectangle, measured in meters.

Since, surface formula is a second-order polynomial, in which each binomial is associated with width and length. If $A = 6\cdot x^{2}-19\cdot x -7$ , the factorized form is:

$A = \left(x-\frac{7}{2}\,m \right)\cdot \left(x+\frac{1}{3}\,m \right)$

Now, let consider that $w = \left(x-\frac{7}{2}\,m \right)$ and $l = \left(x+\frac{1}{3}\,m \right)$ , if $x = 15\,m$ , the length and width of the parking lot are, respectively: