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3 years ago

11

The expression 14.50x can be used to find the total cost for x tickets on Family Night for admission and the movie. What is the

cost for 3 tickets?

1 answer:

sp2606 [1]3 years ago

6 0

All you have to do is substitute x for 3.
You get:
14.50 times 3

14.50 times 3 is 43.50

The answer is $14.50

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Ratling [72]

415.138;452.018;457.2;828.142

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In a booster club, 1/8 of the 128 members are men. How many male members are in the club?

Novay_Z [31]

16 or B. Because 128 divided by 8 is 16

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Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of d^2y/dx

nikdorinn [45]

Answer:

Differentiation will give you the gradient for the tangent at any point, and you use the product rule whenever a function can be thought of as two functions multiplied together.

If

f

(

x

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=

g

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x

)

×

h

(

x

)

then

f

'

(

x

)

=

g

'

(

x

)

h

(

x

)

+

g

(

x

)

h

'

(

x

)

so if

y

=

x

×

sin

x

then

d

y

d

x

=

1

×

sin

x

+

x

×

cos

x

=

sin

x

+

x

cos

x

We know that

x

=

π

2

, so the gradient is

m

=

sin

(

π

2

)

+

π

2

cos

(

π

2

)

=

1

+

π

2

×

0

=

1

Therefore, we can say that

y

=

m

x

+

c

y

=

(

1

)

x

+

c

y

=

x

+

c

So all we really need to find now is the value for

c

, the

y

intercept. We do this by working out a point

(

x

,

y

)

on the graph. We are already given that

x

=

π

2

, so

y

=

x

sin

x

=

π

2

sin

(

π

2

)

=

π

2

×

1

=

π

2

∴

(

x

,

y

)

=

(

π

2

,

π

2

)

Now we substitute this into the equation we already have for the tangent,

y

=

x

+

c

,

(

x

,

y

)

=

(

π

2

,

π

2

)

π

2

=

π

2

+

c

c

=

π

2

−

π

2

=

0

∴

y

=

x

+

c

=

x

+

(

0

)

=

x

which means the tangent to the curve

y

=

x

sin

x

at

(

π

2

,

π

2

)

is simply

y

=

x

.

3 0

3 years ago

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goblinko [34]

Answer:

Both are Obtuse Angles

Step-by-step explanation:

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On December 31, 2016, Osborn Company purchased 30% of Shea Company’s common stock for $220,000. During 2017, Shea Company had a

lidiya [134]

Answer:

the balance of Osborn’s Equity Investment (Shea) account be at the end of 2017 is $233,500

Step-by-step explanation:

Given data

Acquistion price = $220000

purchased = 30%

net income = $75,000

cash dividends = $30,000

to find out

the balance of Osborn’s Equity Investment (Shea) account be at the end of 2017

solution

we will find out balance of investment i.e. given by formula

balance of investment = Acquistion price + share of income - share of dividend .................1

so here

share of income = 30% of net income

share of income =30% × 75,000 = $22500 ..............2

and

share of dividend = 30% of cash dividends

share of dividend = 30% × 30000 = $9000 ...............3

put equation 2 and 3 in equation 1 and we get

balance of investment = Acquistion price + share of income - share of dividend

balance of investment = 220000 + 22500 - 9000

balance of investment = $233,500

7 0

3 years ago