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3 years ago

Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r?

Mathematics

2 answers:

levacccp [35]3 years ago

6 0

Answer: 4

Step-by-step explanation:

Subtract 6r from 15r to get 9r

(15r-6r=36)

(9r=36)

Now divide both sides of the equation by 9 to get the answer.

(9r÷9=36÷9)

(r=4)

Ahat [919]3 years ago

3 0

Answer:

B) 4

Step-by-step explanation:

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Find a formula for the nth term

vlada-n [284]

The formula for a sequence with first term = 1.7 and common difference 0.5 is: $a_n = 1.2 + 0.5n$

Step-by-step explanation:

The first term and common difference are used to induce a formula for the arithmetic sequence

The explicit formula for a geometric sequence is:

$a_n = a_1+(n-1)d$

Given

First term = a1 = 1.7

Common Difference = d = 0.5

putting the values in the formula

$a_n = 1.7 + (n-1)(0.5)\\a_n = 1.7 + 0.5n-0.5\\a_n = 1.2 + 0.5n$

The formula for a sequence with first term = 1.7 and common difference 0.5 is: $a_n = 1.2 + 0.5n$

Keywords: Arithmetic sequence, Common difference

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Answer:

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3 years ago

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Tasya [4]

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3 years ago

The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

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Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

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