You deposit Php1000 in a savings account that earns 6% interest per year Compound interest

Please answer asap! show work!<br> 11. What is (f.g)(x)?<br> f(x) = x3 +3<br> g(x) = 2x2 + x - 1

Ksenya-84 [330]

Answer:

Step-by-step explanation:

Given :

f(x) = x³ + 3
g(x) = 2x² + x - 1

Finding (f × g)(x) :

f(x) × g(x)
(x³ + 3)(2x² + x - 1)
2x⁵ + 6x² + x⁴ + 3x - x³ - 3
<u>2x⁵ + x⁴ - x³ + 6x² + 3x - 3</u>

6 0

2 years ago

True or False<br> <img src="https://tex.z-dn.net/?f=%20i%5E%7B2%7D%20%3D%20%5Csqrt%7B2%7D%20" id="TexFormula1" title=" i^{2} = \

ivanzaharov [21]

I hope this helps you

3 0

3 years ago

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Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in

Ronch [10]

The model in which the lateral surface meets the base at right angle is : Model 1.

<h3>What is a lateral surface?</h3>

The lateral surface of an object is all surfaces of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

Model 1

Diagonal = 50cm, radius = 14cm, lateral height = 48cm

$(50)^{2}$ = $(14)^{2}$ + $(48)^{2}$

2500 = 196 + 2304

2500 = 2500. Forms Pythagorean triplet

Model 2

Diagonal= 37cm, radius = 6cm lateral height = 35cm

$(37)^{2}$ = $(35)^{2}$ + $(6)^{2}$

1369 = 1225 +36

1369 $\neq$ 1261

Model 3

Diagonal = 60cm, radius = 20cm lateral height = 40cm

$(60)^{2}$ = $(20)^{2}$ + $(40)^{2}$

3600 = 400 + 1600

3600 $\neq$ 2000

Model 4

Diagonal = 30cm, radius = 24cm, lateral height = 9cm

$(30)^{2}$ = $(24)^{2}$ + $(9)^{2}$

900 = 576 + 81

900 $\neq$ 657

Therefore the lateral surface model 1 meets the base at right angle

In conclusion, the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

Learn more about Pythagorean triplet: brainly.com/question/20894813

#SPJ1

5 0

1 year ago

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I need help with 1/4x- 3=1/2x+12

kaheart [24]

Solve for x by simplifying both sides of the equation, then isolating the variable.
x =−60

7 0

3 years ago

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Your company is planning to air a number of television commercials during a television network's presentation of the an awards s

Sunny_sXe [5.5K]

This question is incomplete, the complete question is;

Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000√x for x television spots.

Required:

Write down the cost function C, marginal cost function C’, and average cost function

Answer:

- The the cost function is 500,000 + 1,900,000x - 160,000√x

- the marginal cost function is 1,900,000 - (80000 /√x )

- The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Step-by-step explanation:

Given the data in the question;

cost per spot = $1.9 million

Additional cost = $500,000

discount = $160,000√x

Let C(x) represent the cost ;

Cost x television spot = cost per spot × Number pf spots

Cost x television spot = $1.9 million × x

Cost x television spot = $1,900,000x

Now, the television set total cost will be;

C(x) = television cost + additional cost - discount

C(x) = 500,000 + 1,900,000x - 160,000√x

Therefore, The the cost function is 500,000 + 1,900,000x - 160,000√x

Marginal Cost Function;

Cost function C(x) = 500,000 + 1,900,000x - 160,000√x

we differentiate with respect to x

C'(x) = d/dx( 500,000 + 1,900,000x - 160,000√x )

= d/dx( 500000 ) + 1,900,000d/dx -160,000 d/d( √x )

= 0+ 1,900,000(1) -160,000( 1 / 2√x )

= 1,900,000 - (160,000 / 2√x )

= 1,900,000 - (80000 /√x )

Therefore, the marginal cost function is 1,900,000 - (80000 /√x )

Average cost function;

Average cost function = C(x) / x

we substitute

Average cost function = [500,000 + 1,900,000x - 160,000√x] / x

= [500,000 / x ] + [1,900,000x / x ] - [ 160,000√x / x ]

= [ 500,000 / x ] + 1,900,000 - [ 160,000√x / x ]

= 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Therefore, The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

5 0

3 years ago