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zzz [600]
3 years ago
14

Find the amount of the annuity.

Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT payment 6200
r interest rate 0.06
K compounded semiannual 2
N time 5 years
Fv=6,200×(((1+0.06÷2)^(2×5)) ÷(0.06÷2))=277,742.72

Hope it helps
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3 years ago
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What pattern do you notice in the numbers below? 1 = 1 × 1, and 1 × 1 × 1, and 1 × 1 × 1 64 = 8 × 8, and 4 × 4 × 4 729 = 27 × 27
11111nata11111 [884]

Answer:

<h3>C. They are both perfect squares and perfect cubes.</h3>

Step-by-step explanation:

Perfect squares are numbers that their square root can be found easily without any remainder.

Given the following patterns;

1*1 = 1  and 1*1*1 = 1

It can be seen that 1 is 1 perfect square since 1*1 = 1² = 1

Also 1 is perfect cube since 1*1*1 = 1³ = 1 (cube of the value gives 1)

Similarly for the expression;

8*8 = 64

8² = 64 (since the square of 8 gives 64, then 64 is known to be a perfect square)

Also 4*4*4 = 64

i.e 4³ = 64 (This shows that the cube root of 64 is 4 making it a perfect cube since we can get a whole number for the cube root of 64)

The same is applicable for other expressions 729 = 27 × 27, and 9 × 9 × 9, 4,096 = 64 × 64, and 16 × 16 × 16

This values are easily expressed as a constant multiple of a number showing that they are both perfect squares and perfect cubes.

4 0
3 years ago
Am i correct? What is the answer to the next one?
podryga [215]

Answer:

With base of 3: 3^{4}

With base of 9: 9^{2}

Step-by-step explanation:

Use 3 and 9 as the base of the power.

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8 0
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IgorC [24]

Answer:

9

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

13-4 =9

Lets check:

Take the third term and subtract the second term

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The common difference is 9

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