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Len [333]
2 years ago
6

In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and PQ = 8 then which of the fol

lowing is the length of MN ?
(1) 7
(2) 42
(3) 4 square root 3
(4) 2 square root 21
Mathematics
1 answer:
deff fn [24]2 years ago
3 0

Answer:

42

Step-by-step explanation:

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Pete corporation produces bags of peanuts. It's fixed cost is $18,900. Each bag sells for $2.17 with a unit cost of $1.27. What
pentagon [3]

Answer:

in units: 18,900

in dollars: $ 41,013

Step-by-step explanation:

The break even point is the sales dollar amount or sales in unit at whichthe operating income of the firm equals to zero:\frac{Fixed\:Cost}{Contribution \:Margin} = Break\: Even\: Point_{units }

Where:

\frac{Contribution \: Margin}{Sales \: Revenue} = Contribution \: Margin \: Ratio

<em><u>Contribution margin:</u></em>

2.17 - 1.27 = 1 dollar per unit

Break even:

$18,900 fixed cost /  $1 per unit = 18,900 units

Then, in sales:

18,900 x $2.17 each = 41.013‬

break even point:

3 0
2 years ago
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Noah receives a $5 discount each month on his cell phone bill because he signed up for a auto pay from his bank account. Over th
sashaice [31]

Answer:

35

Step-by-step explanation:

4 0
2 years ago
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The equation A(t) = 900(0.85)t represents the value of a motor scooter t years after it was purchased. Which statements are also
ValentinkaMS [17]

Answer:

When new, the scooter cost $900

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we have

A(t)=900(0.85)^t

This is a exponential function of the form

A(t)=a(b)^t

where

A(t) ----> represent the value of a motor scooter

t ----> the number of years after it was purchased

a ---> represent the initial value or y-intercept

b is the base of the exponential function

r is the percent rate of change

b=(1+r)

In this problem we have

a=\$900\\b=0.85

The base b is less than 1

That means ----> is a exponential decay function (is a decreasing function)

Find the percent rate of change

b=(1+r)\\0.85=1+r\\r=0.85-1\\r=-0.15

Convert to percentage (multiply by 100)

r=-15\% ---> negative means is a decreasing function

<u><em>Verify each statements</em></u>

<em>case A</em>) When new, the scooter cost $765.

The statement is false

Because the original value of the scooter was $900

case B) When new, the scooter cost $900

The statement is true (see the explanation)

case C) The scooter’s value is decreasing at a rate of 85%  each year

The statement is false

Because the scooter’s value is decreasing at a rate of 15%  each year (see the explanation)

case D) The scooter’s value is decreasing at a rate of  0.15% each year

The statement is false

Because the scooter’s value is decreasing at a rate of 15%  each year (see the explanation)

8 0
2 years ago
A vendor bought 80 pineapples ₱18.50 each. Three pineapples got rotten, but then he sold the rest at ₱25.00 each. how much did h
Hatshy [7]

Answer:

₱445

Step-by-step explanation:

₱18.50(x)

x = number of pineapples purchased

₱18.50(80) = ₱1480

80 - 3 = 77

₱25.00(z)

z = number of pineapples resold.

25.00(77) = ₱1925

₱1925 = ₱1480 = ₱445

5 0
2 years ago
Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for t
nydimaria [60]

Let

l------> the length side of the rectangle

w----> the width side of a rectangle

b----> the base of the triangle

h----> the height of the triangle

we know that

the area of the yard is equal to

A=lw+0.5bh

Solve for b------> ( that means clear variable b)

Subtract lw both sides

A-lw=lw+0.5bh-lw

A-lw=0.5bh

Divide by 0.5h both sides

(A-lw)/(0.5h)=0.5bh/(0.5h)

b=(A-lw)/(0.5h)

therefore

<u>the answer is the option B</u>

The quantity A minus l times w all divided by 0.5 times h


8 0
2 years ago
Read 2 more answers
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