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3 years ago

The perimeter of a quadrilateral is 35 centimeters. Find the length of each side.

1 answer:

7 0

The perimeter is the sum of all the sides so we can add all the sides and set it equal to 35:
$x^2-2x+3x-4+x+2+x+9=x^2+3x+7$

Now we have a quadratic so we can use the quadratic formula to find x= $\frac{-3+i \sqrt{19} }{2}$ . Now you can plug that into each x to find each side:-)

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Last year, the total revenue for Home Style, a national restaurant chain, increased 5.25% over the previous year. If this trend

Setler [38]

Answer:

Monthly percent increase in revenue = 0.4273%.

Step-by-step explanation:

Let m = number of months in time period.

We have that: Annual increase based on annual rate = Annual increase based on monthly rate * 12.

To find the increase in the original amount, we use the formula:

$A_{0}(1 + i)^{n}$ , where n = number of time periods and i = interest rate.

Therefore,

Ao(1 + ia) = Ao(1 + im)m,

$A_{0}(1 + i_{a} )^{n_{a} } = A_{0}(1 + i_{m} )^{n_{m} }$

where Ao= original amount, ia = annual interest rate, im = monthly interest rate, na = number of annual time periods, nm = number of monthly time periods.

$n_{a}=1; n_{m}=m$

$A_{0}(1 + i_{a} ) = A_{0}(1 + i_{m} )^{m}$

Divide both sides by Ao

$(1 + i_{a}) = (1 + i_{m} )^{m}$

Taking the mth root of both sides

$(1 + i_{a})^{\frac{1}{m}}= 1 + i_{m}$

$i_{m} = (1 + i_{a})^{\frac{1}{m}}-1$

$i_{a}= 5.25*1/100 = 0.0525\\m = 12$

$i_{m} = (1 + 0.0525)^{\frac{1}{12}}-1\\i_{m} = (1.0525)^{\frac{1}{12}}-1 = 1.004273 - 1\\i_{m} = 0.004273 * 100\\i_{m} = 0.4273$

$i_{m}=$ 0.4273%

Thus, the monthly revenue increase of Home Style is 0.4273%.

3 0

3 years ago

Identify the inverse g(x) of the given relation f(x).

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

Given (x, y) is a point on f(x), then the corresponding point on the inverse g(x) is (y, x)

Hence

(8, 3) → (3, 8)

(4, 1) → (1, 4)

(0, - 1) → (- 1, 0)

(- 4, - 3) → (- 3, - 4)

That is the last set of points represents g(x)

4 0

4 years ago

Y=-x+7 , y=x-1 and show your work Help !

Gelneren [198K]

This is a system of equations. The best way to solve it is by realizing that you have two equations equal to y. Since y = y, it follows that $-x+7=x-1$ . Solving for x, you get 4.

$7=2x-1 \\ 8=2x \\ 4=x$

Then, substitute 4 into one of the original equations to find y.

$y=(4)-1=3$ .

The solution is $(4,3)$ . I have attached a graphical representation of the solution as well.

7 0

3 years ago

Which nuWhich expressions result in a product that has a best estimate of 80? Select all that apply.

VMariaS [17]

Answer:

E; 8x9 is equal to 72 which estimated is 70

7 0

3 years ago

Help please <br><br> something+(-4)=-1

omeli [17]

The answer should be 3.

6 0

3 years ago