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3 years ago

find the common ratio r for the geometric sequence and use r to find the next three terms 5,15,45,135

Mathematics

1 answer:

OlgaM077 [116]3 years ago

4 0

Answer:

405

Step-by-step explanation:

r sequence= 5,15,45,135

d sequence:=10,30,90,270

r ratio is the Radio

d ratio is de Diameter

2*r=d

5*2=10, 15*2=30, 45*2=90, 135*2=270

to complete the sequence:

r+d= next r and continue

5+10=15

15+30=45

45+90=135

135+270=405

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The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 12 B, and 48 C. Show th

zimovet [89]

Answer:

CLASS FREQUENCIES RELATIVE FREQUENCIES

A 60 0.5

B 12 0.1

C 48 0.4

TOTAL 120 1

Step-by-step explanation:

Given that;

the frequencies of there alternatives are;

Frequency A = 60

Frequency B = 12

Frequency C = 48

Total = 60 + 12 + 48 = 120

Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;

Relative Frequency A = Frequency A / total = 60 / 120 = 0.5

Relative Frequency B = Frequency B / total = 12 / 120 = 0.1

Relative Frequency C = Frequency C / total = 48 / 120 = 0.4

therefore;

CLASS FREQUENCIES RELATIVE FREQUENCIES

A 60 0.5

B 12 0.1

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2 years ago

Integers<br>53 + (-26 )

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2 years ago

1. Write the following in exponential form and as a multiplication sentence using only 10 as a factor

Irina-Kira [14]

Answer:

1. a. 1,000 = 10³ = 10 × 10 × 10

b. 100 × 100 = 10² × 10² = 10 × 10 × 10 × 10

2. a. 3 × 10² = 300

b. 2.16 × 10⁴ = 21,600

c. 800 ÷ 10³ = 0.8

d. 754.2 ÷ 10² = 7.542

Step-by-step explanation:

3. a. 1,000

There are 3 zeros in 1000. This is equivalent to 10 raised to the power of 3. Writing this in multiplication sentence using 19 as the only factor, we would have:

1,000 = 10³ = 10 × 10 × 10

b. 100 × 100

Using the same logic as explained in (a) above, we would have:

100 × 100 = 10² × 10² = 10 × 10 × 10 × 10

2. a. 3 × 10²

Convert 10² to 100 and multiply both numbers

3 × 10² = 3 × 10 × 10 = 3 × 100 = 300

b. 2.16 × 10⁴

2.16 × 10 × 10 × 10 × 10 = 2.16 × 10,000

Multiplying both numbers, since we have 4 zeros, move the decimal point 4 places to the right.

2.16 × 10,000 = 21,600

c. 800 ÷ 10³ = 800 ÷ 10 × 10 × 10

800 ÷ 1,000

There are 3 zeros in 1000, since we are dividing, move the decimal point 3 places to the left.

800 ÷ 1,000 = 0.8

d. 754.2 ÷ 10² = 754.2 ÷ 10 × 10

754.2 ÷ 100

Move the decimal point 2 places to the left.

754.2 ÷ 100 = 7.542

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3 years ago

Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.

svp [43]

Answer:

There will be 20 914 rupees in the amount at the end of 3 years.

Step-by-step explanation:

The amount of rupes after t years in compound interest is given by:

$A(t) = A(0)(1+r)^{t}$

In which A(0) is the initial amount and r is the interest rate, as a decimal.

Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.

This means that $A(0) = 20000, r = 0.015$ . So

$A(t) = A(0)(1+r)^{t}$

$A(t) = 20000(1+0.015)^{t}$

$A(t) = 20000(1.015)^{t}$

Work out the total amount of money in the account at the end of 3 years.

This is A(3). So

$A(3) = 20000(1.015)^{3} = 20913.6$

Rounding to the nearest rupee.

There will be 20 914 rupees in the amount at the end of 3 years.

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2 years ago

Which phrase describes the variable expression m + 5?

Vedmedyk [2.9K]

5m or m(5)

Have a nice day :)

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3 years ago

Read 2 more answers