All categories

1 year ago

Choose the function whose graph is given by:

Mathematics

1 answer:

loris [4]1 year ago

5 0

<h2>Answer:</h2>

$y=3sec\left(\frac{1}{2}x\right)$

<h2>Step-by-step explanation:</h2>

The graphs of $sec(x)$ can be obtained from the graph of the cosine function using the reciprocal identity, so:

$sec(x)=\frac{1}{cos(x)}$

But in this problem, the graph stands for the function:

$y=3sec\left(\frac{1}{2}x\right)$

Because the period is now 4π as indicated and for $x=0$ in the figure and this can be proven as follows:

$Period=\frac{2\pi}{\frac{1}{2}}=4\pi$

Also, $for \ x=1 \ then \ y=3$ as indicated in the figure and this can be proven as:

$y=3sec\left(\frac{1}{2}x\right) \\ \\ y=\frac{3}{cos(0.5x)} \\ \\ y=\frac{3}{cos(0.5(0))} \\ \\ y=\frac{3}{1}=3$

You might be interested in

What does this mean

andriy [413]

To use arithmetic to solve ot

7 0

1 year ago

An airline, believing that 5% of passengers fail to show for flights, overbooks (sells more tickets than there are seats). Suppo

Fittoniya [83]

Answer:

Q1. 13 passengers

Q2. 0.1756 (approx. 0.18)

Step-by-step explanation:

Q1. 267 seats are available on the plane

5% is expected to fail to show up

Hence, no of passengers expected not to show up = 267 * 0.05

= 13.35 (approx 13 passengers)

Q2. See working in the attachment as I had to explain it step by step.

6 0

1 year ago

Another payment type enabled by smartphones is person-to-person payments, which are apps that allow people to send money electro

Galina-37 [17]

Answer and Step-by-step explanation:

Person to person payment is an online technology that allows customers to transfer their money and funds from their account to another account through mobile phones. A p2p app allows one user to send money to another user by using an app or website—transaction including anything from paying a dinner bill, rent, or contributing to charity.

The increased obtaining of online banking, mobile banking, and e-commerce by users has paved the way for greater use of person-to-person payments. In the payment markets sending money between smartphones has become an ordinary matter. According to Billtrust, young adults are using a person to person payment more than two generations.

Nearly half of smartphone owners regularly used p2p payment apps. Most people used p2p payment app because it offers better security or most of their peers use it.

Millennials have often led older Americans in their adoption and use of technology. More than 93% millennial (who turns ages 23 to 38 this year) have their smartphones. Similarly, the vast majority of millennials use social media, compared with smaller shares among old generations.

3 0

1 year ago

Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it

Ainat [17]

<u>Answer-</u>

<em>$23377</em><em> must be deposited to get $68000 at the end of 30 years.</em>

<u>Solution-</u>

We know that for compound interest,

$A=P(1+\dfrac{r}{n})^{nt}$

Where,

A = Future amount = $68,000

P = ??

r = 3.575% annual = 0.03575

n = 4 as interest is compounded quarterly

t = time in year = 30 years

Putting the values,

$\Rightarrow 68000=P(1+\dfrac{0.03575}{4})^{4\times 30}$

$\Rightarrow 68000=P(1.0089375)^{120}$

$\Rightarrow P=\dfrac{68000}{(1.0089375)^{120}}$

$\Rightarrow P=23377.45$

Therefore, $23377 must be deposited to get $68000 at the end of 30 years.

7 0

1 year ago

Read 2 more answers

A high school wants to sell postage stamps with the school logo on them. The fundraising group have purchased 500 sheets of stam

erma4kov [3.2K]

Answer:

a) Cost

$C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050$

b) Sales income

$S(q)=20q\\\\S(500)=20\cdot 500 = 10,000$

c) Table of values

$\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right]$

d) Attached

e) Breakeven point = 12.5 sheets

f) Profit at 550 sheets = $1,950

Step-by-step explanation:

a) We have a fixed cost for the image, at $50.

We also have a variable cost of $16 a sheet.

The purchased quantity is 500 sheets.

Then, the cost function is:

$C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050$

b) The price for each sheet is $20, so the income from sales are:

$S(q)=20q\\\\S(500)=20\cdot 500 = 10,000$

c) Table of values

$\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right]$

d) Attached

e) The minimum number of sheets the group must sell so they don't lose any money is the breakeven point (BEP) and can be calculated making the income sales equal to the cost:

$S(q)=C(q)\\\\20q=50+16q\\\\(20-16)q=50\\\\4q=50\\\\q=50/4=12.5$

f) This profit can be calculated as the difference between the sales income and the cost:

$P(500)=S(500)-C(500)\\\\P(500)=20\cdot 500-(50+16\cdot 500)=10,000-8,050=1,950$

3 0

1 year ago