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11Alexandr11 [23.1K]

3 years ago

10

A video game set can be bought on hire purchase by making a deposit of $190 and 12 monthly installments of $171 each. Calculate

the hire purchase price cost of the video game set.

1 answer:

alukav5142 [94]3 years ago

3 0

Answer:

the purchase price would be $2142

Step-by-step explanation:

90+171×12

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Geometry parallel line diagrams

tamaranim1 [39]

<h2>Solution (1) :</h2>

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<h2>Solution (2) :</h2>

∠y and ∠x are alternate interior angles . Both of these angles will have an equal angle measure when they lie on two parallel lines with a transversal .

<h2>Solution (3) :</h2>

∠y and ∠x vertically opposite angles . Both of these angles will be equal in measure when on two parallel lines with a transversal .

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4 0

3 years ago

50 points!!!!!!!!!!!!

igomit [66]

Answer: the first one .00000000058

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers

What are the side lengths of the rectangle area 40 perimeter 26

shusha [124]

Recall the formula for finding the area of a rectangle:

Area = Length × Width

Recall the formula for finding the perimeter of a rectangle:

Perimeter = 2 ( Length + Width )

Given in your problem:
Area = 40 sq. units
Perimeter = 26 units

Required to solve for:
Length (L) and width (W)

• First, substitute the given to the formula:

Area = Length x Width
  40 = L × W   ⇒ equation number 1

Perimeter = 2 ( Length + Width )
26 = 2 ( L + W ) ⇒ equation number 2

• Simplifying equation number 2,
13 = L + W

• Rearranging the equation,

L = 13 - W ⇒ equation 3

Substituting equation 3 from equation 1:

( equation 1 ) 40 = (L)(W)
( equation 3 ) L = 13 - W
   40 = (13 - W) (W)
40 = 13W - W²
( regrouping ) W² - 13W + 40 = 0
( factoring ) (W - 8) (W - 5) = 0
W - 8 = 0 ; W - 5 = 0
   W = 8 ; W = 5

Therefore, there are 2 possible values for the width of the rectangle. It can be 8 units or 5 units.

• Now to solve for the length of the rectangle, substitute the two values of width to equation 3.

(equation 3) L = 13 - W
for W = 8   ⇒ L = 13 - 8
L = 5 units

for W = 5   ⇒ L = 13 - 5
L = 8 units

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2 years ago

Simplify 2 to the 5th over 3 squared all raised to the 4th power.

son4ous [18]

I think that would be C but idk tell me if im right

8 0

3 years ago

Find the extreme values of the function f(x, y) = 4x2 + 6y2 on the circle x2 + y2 = 1.

julia-pushkina [17]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=4x^2+6y^2$

Let g(x,y)= $x^2+y^2=1$

We have to find the extreme values of the given function

$\nabla f(x,y)$

$\nabla g(x,y)=$

Using Lagrange multipliers

$\nabla f(x,y)=\lambda \nabla g(x,y)$

$f_x=\lambda g_x$

$8x=\lambda 2x$

Possible value x=0 or $\lambda=4$

If x=0 then substitute the value in g(x,y)

Then, we get $y=\pm 1$

$f_y=\lambda g_y$

$12y=\lambda 2y$

If $\lambda=4$ and substitute in the equation

Then , we get possible value of y=0

When y=0 substitute in g(x,y) then we get

$x=\pm 1$

Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).

$f(0,1)=6$

$f(0,-1)=6$

$f(1,0)=4$

$f(-1,0)=4$

Therefore, the maximum value of f on the circle $x^2+y^2=1$ is $f(0,\pm1)=6$ and minimum value of $f(\pm1,0)=4$

7 0

2 years ago