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a_sh-v [17]
2 years ago
8

A particle is moving along a projectile path at an initial height of 160 feet with an initial speed of 144 feet per second. this

can be represented by the function h(t) = −16t2 144t 160. what is the maximum height of the particle? 128 feet 224 feet 272 feet 484 feet
Business
1 answer:
galina1969 [7]2 years ago
3 0

A function assigns values. The maximum height of the particle is 484 ft.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the function of the height of the particle is h(t) = −16t²+144t+160.

Now, to find the maximum of the function we need to differentiate the function, and then equate it with zero to find the value of t at which the height will be maximum.

h(t)=-16t^2+144t+160\\\\\dfrac{dh}{dt}=-16(2t)+144\\\\\dfrac{dh}{dt}=-32t+144

Now, equate the function with 0, we will get,

0=-32t+144\\t = 4.5

Further, plug in the value of t as 4.5 to get the maximum height.

h(t)=-16t^2+144t+160\\\\h(4.5)=-16(4.5^2)+144(4.5)+160\\\\h(4.5)= 484\rm\ ft

Thus, the maximum height of the particle is 484 ft.

Learn more about Function:

brainly.com/question/5245372

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Barney Company makes and sells stuffed animals. One product, Michael Bears, sells for $28 per bear. Michael Bears have fixed cos
Karo-lina-s [1.5K]

Answer:

6,250 units

Explanation:

The computation of the number of units that should be sold and produced in order to break even is shown below:

as we know that

Break even point = Fixed cost ÷Contribution margin per unit

Here

Contribution margin per unit = Selling price - Variable costs

= $28 - $12

= $16

So, the breakeven is

= $100,000 ÷ $16

= 6,250 units

6 0
2 years ago
Rebotar Inc. makes basketballs. Their fixed costs are $3,450. Variable costs are $12 per basketball. If the basketball is priced
JulsSmile [24]

Answer:

yes

Explanation:

The contribution margin concept uses the formula below to calculate the break-even point.

break-even = fixed cost/ contribution margin per unit

fixed costs = $3,450.

contribution margin per unit = sales price - variable costs

= $25- $12

=$13

Break-even = $3,450 /$13

=265.38

=265 units

The break-even point is 265 units. Rebotar Inc. sold 300 basketballs; they meet the break-even point. 300 basketballs are more than 265.

8 0
3 years ago
Classify each possible change listed according to whether it will make small farms more efficient or less efficient based on the
dybincka [34]

Full question:

Classify each possible change listed according to whether it will make small farms more efficient or less efficient based on the information in the Washington Post article Small vs. Large: Which Size Farm Is Better for the Planet:

Plant more disease-resistant crops, reduce the number of different crops planted, avoid planting genetically modified crops, rely more on organic rather than synthetic methods of farming,

Answer and Explanation:

Plant more disease-resistant crops is classified under more efficient and Less costly. The writer believes disease resistant crops increase efficiency as there is reduced occurrence of death of crops and consequent increased losses and costs

Reduce the number of different crops planted is classified under more efficient and less costly. The writer emphasizes specialization in farming whereby for example planting rice or corn should be done alone and not mixed with other crops as this would be less efficient and costly.

Avoid planting genetically modified crops is classified less efficient and more costly. The writer encourages planting genetically modified crops as genetically modified plants are geared towards increased plant product and yield from genetically optimized plants

Rely more on organic rather than synthetic methods of farming is classified less efficient and more costly. In the article, the writer believes chemically induced crops are bad for the environment and don't yield much in efficiency with time

7 0
3 years ago
Ashley is single and lives with Barney, her boyfriend, and Candy, his 8-year-old daughter. Ashley paid all of the support for he
julsineya [31]

Answer:

Ashley may not claim Candy as her dependant even if other requirements are met.

Explanation:

Ashley is single and lives with Barney, her boyfriend, and Candy, his 8-year-old daughter. Ashley paid all of the support for her household in 2018. Barney has earned income of $2,500 and had income tax withheld from his wages. He has no other income and is not required to file an income tax return. With one qualifying child, Barney may claim an earned income credit. Barney files an income tax return solely to obtain a refund of withheld income taxes and does not claim EIC. Because Barney does not have a filing requirement and filed only to obtain a refund of withheld income taxes, Candy is not considered the qualifying child of Barney or any other taxpayer

Based on the explanation given Ashley cannot claim Candy as an independent because of the tax payer rule. If other requirements are met, Ashley cannot claim Candy as dependent because the girl in question isn't her child . Moreover, Candy is the full responsibility of Barney. Candy is under Barney's care and is solely required by law to take care of her.

4 0
3 years ago
Franklin Corporation is comparing two different capital structures, an all-equity plan (Plan I) and a levered plan (Plan II). Un
expeople1 [14]

Answer and Explanation:

The computation is shown below:

a. The price per share under MM proposition is

= Debt ÷ Difference in Number of shares

= $1,330,000 ÷ (155,000 - 105,000)

= $26.60

b. The value of the firm under each plans is

For All equity plan

= Share price × Number of shares

= $26.6 × 155,000 shares

= $4,123,000

For Levered plan

= All equity plan value + Debt × Tax rate

= $4,123,000 + $1,330,000 × 0%

= $4,123,000

8 0
3 years ago
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