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3 years ago

Please help me with this problem

Mathematics

1 answer:

Bumek [7]3 years ago

7 0

Answer:

the two options that are equivalent would be the first option and the fourth option. (2x . 2y = 4xy) (5xyz = 5 . x . y . z)

Step-by-step explanation:

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Four people each deliver food to peoples' homes. Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dol

timama [110]

Answer:

4+1m??

Step-by-step explanation:

7 0

3 years ago

There are 42 students on a large bus and the rest are only smaller buss if 40% of the students on a small bus how many total stu

katrin2010 [14]

Answer:

24 students on the two buses

Step-by-step explanation:42x0.4=18

42-18=24

4 0

4 years ago

Please help me!!!! with both

loris [4]

Answer:

Part 11) $a_n=a_{n-1}-16$ , $a_1=17$

Part 2) 4+3i

Step-by-step explanation:

Part 11) write a recursive rule for the sequence

$17,1,-15,-31,...$

Let

$a_1=17\\a_2=1\\a_3=-15\\a_4=-31$

we know that

$a_2-a_1=1-17=-16$ ----> $a_2=a_1-16$

$a_3-a_2=-15-1=-16$ ----> $a_3=a_2-16$

$a_4-a_3=-31-15=-16$ ----> $a_4=a_3-16$

This is an arithmetic sequence

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference (d).

In this problem the common difference is equal to $d=-16$

therefore

A recursive rule for the sequence is

$a_n=a_{n-1}+d$

substitute the value of d

$a_n=a_{n-1}-16$

where

$a_1=17$

Part 12) What is the complex conjugate of 4-3i?

we know that

The <u><em>complex conjugate</em></u> of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign

we have that

the real part of the given number is 4 and the the imaginary part is -3i

the imaginary part equal in magnitude but opposite in sign is +3i

therefore

the complex conjugate of the given number is equal to

$4+3i$

6 0

3 years ago

Please help with the bonus! Thank you:)

Aleks04 [339]

a. The function that models the situation is F(t) = 48(1.08)ˣ

b. The price of the stock 6 years from now is $76.17

c. Find the graph in the attachment

d. I receive a dividend of $0.026.

<h3>a. Write a function f(t) that models the situation.</h3>

Since the stock price increases at a rate of 8% every year, and is initially $48, it follows exponential growth.

So, the current price $F(t) = A(1 + r)^{t}$ where

A = price at current moment = $48,
r = rate of growth = 8% = 0.08 and
t = number of years

So, $F(t) = A(1 + r)^{t}$

$F(t) = 48(1 + 0.08)^{t} \\= 48(1.08)^{t}$

So, the function that models the situation is F(t) = 48(1.08)ˣ

<h3>b. Determine the price of the stock 6 years from now?</h3>

The price of the stock 6 years from now is gotten when t = 6.

So,

$F(t) = 48(1.08)^{t} \\= 48(1.08)^{6} \\= 48(1.5869)\\= 76.17$

So, the price of the stock 6 years from now is $76.17

<h3>c. Sketch a graph of the price of the function vs time in years</h3>

Find the graph in the attachment

<h3>d. Bonus</h3>

Since every quarter, the company pays a dividend of 1.5 %, the rate per year would be r = 1.5 % ÷ 1/4 year = 1.5 % × 4 = 6 % per year.

Since they pay at a rate, r = 6 % = 0.06 of the stock price, F(t) as dividend.

After n years, the dividend is D = (r)ⁿF(t)

= (0.06)ⁿF(t)

So, $D = (0.06)^{t}F(t) \\= (0.06)^{t}[4.8(1.08)^{t}]$

So, after 3 years when t = 3,

$D = (0.06)^{t}[4.8(1.08)^{t}]\\D = (0.06)^{3}[4.8(1.08)^{3}]\\D = 0.000216 \times 48 \times 1.2597\\D = 0.013$

Since there are 3 shares, the total dividend would be D' = 3D

= 3 × 0.013

= 0.026

So, i receive a dividend of $0.026

Learn more about exponential function here:

brainly.com/question/12940982

#SPJ1

6 0

2 years ago

Which function models the data in the table?

mash [69]

Answer:

(A) f(x) = 2 * $4^{t}$

Step-by-step explanation:

[] We can find our answer by plugging the x values into the functions as t and solving.

-. Using this method, starting with the A function, we find that the first function models the data and we do not need to test the others. I still have shown the work for the others as it is good to check your work.

[✓] f(x) = 2 * $4^{t}$

(1, 8) }{}{}{ f(x) = 2 * $4^{1}$ = 2 * 4 = 8