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2 years ago

Li Wei has several streams of income, as shown in the table. Some streams are active income and some are passive.

1 answer:

3 0

Based on the streams of income that Li Wei has, we can calculate that he has a total passive income of <u>$3,010.</u>

Passive income refers to income that is made without a person actively involving themselves in the activity generating the income.

In this scenario, the passive income sources are:

Stock dividends
Business investment interest
Royalties from a novel

Total passive income therefore is:

= 530 + 1,080 + 1,400

= $3,010

In conclusion, the total passive income is $3,010.

<em>Find out more at brainly.com/question/1246309. </em>

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Find the sixth term of the sequence 1/2, -3/8, 9/32

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The sixth term is -243/2048 ⇒ answer B

Step-by-step explanation:

* Lets explain the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)

# 5000 , 1000 , 200 , 40 , …………………………(÷5)

* General term (nth term) of a Geometric sequence:

# U1 = a , U2 = ar , U3 = ar² , U4 = ar³ , U5 = ar^4

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between each two consecutive terms and n is the position of the

number in the sequence

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- Lets solve the problem

∵ The sequence is 1/2 , -3/8 , 9/32

- Lets find the constant ratio r

∵ The first term is a = 1/2

∵ The second term is U2 = ar

∵ The second term U2 = -3/8

∴ ar = -3/8

∴ 1/2 r = -3/8 ⇒ multiply both sides by 2

∴ r = -3/4

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∵ a = 1/2 and r = -3/4

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Answer:

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Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

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∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

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Now,

Volume of a cylinder,

$V=\pi r^2 h$

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