What is the 31st term in the sequence below?
-108,-90,-72,-54

Answers

Answer 1

Answer: add 18 each time
first term is -108

an=a1+d(n-1)
d=common difference
a1=startng term

an=-108+18(n-1)

31 term
a31=-108+18(31-1)
a31=-108+18(30)
a31=-108+540
a31=432

31st term is 432

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When two musical notes are a “sixth” apart, the frequency of the lower note is 3/5 the frequency of the higher note. Using f as the frequency of the higher note, write an expression for the frequency of the lower note. HELP!1. f - 2/5

2. 3/5 f

3. 2/5 f

4. 3/5 + f

Answers

The correct expression for the frequency of the lower note when two musical notes are a sixth apart is: 3/5 f

Given that two musical notes are a “sixth” apart, the frequency of the lower note is 3/5 the frequency of the higher note.

We need to determine the expression for the frequency of the lower note.

When two musical notes are a "sixth" apart, it means that there are five whole steps or intervals between the two notes.

In music theory, each whole step corresponds to multiplying the frequency by a constant factor.

If we denote the frequency of the higher note as f, then the frequency of the lower note, which is 3/5 times the frequency of the higher note, can be calculated by multiplying f by 3/5.

Therefore, the correct expression for the frequency of the lower note is 3/5 f.

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Answer:

2. 3/5 f

Step-by-step explanation:

the lower note is the product of it's fractional part and the frequency of the higher note.

A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area decreases by 6%. What is the function that best represents the area of the forest each year and how much area remains after 12 years? Round your answer to the nearest square kilometer.Hint: Use the formula, f(x) = P(1 + r)x.

f(x) = 2,000(0.94)x, 952 square kilometers
f(x) = 2,000(1.06)x, 4,204 square kilometers
f(x) = 2,000(0.06)x, 1,239 square kilometers
f(x) = 2,000(0.94)x, 1,432 square kilometers

Answers

Given:
2,000 square kilometers
decreases by 6% per year
12 years.

f(x) = P(1+r)^x

The fact that the term decreases is used, (1+r) will become (1-r)

f(12) = 2,000(1-0.06)^12
f(12) = 2,000(0.94)^12
f(12) = 2,000(0.4759)
f(12) = 951.80

Answer is:
f(x) = 2,000(0.94)^x, 952 square kilometers.

A laptop has a listed price of 827.95 before tax. If the sales tax rate is 8.75%, find the total cost of the laptop with sales tax included.