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Anni [7]
3 years ago
9

How many years will it take to double an investment at 11% simple interest? ​

Mathematics
1 answer:
ddd [48]3 years ago
7 0

Answer:

10 years

Step-by-step explanation:

We can use the equation for simple interest: <em>I = P(1 + (R*T))</em>, and change some of the numbers: <em>2P = P(1 + (0.11*T))</em>

Divide: <em>2 = 1 + (0.11*T)</em>

Subtract: <em>1 = 0.11*T</em>

Divide: <em>T = 100/11 ≈ 9.09</em> ⇒ 10 years (rounded up because it won't be doubled until the next year)

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Find the sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2.
murzikaleks [220]

The sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5

The nth term of a geometric sequence is given mathematically as;

T(n) = ar^n

  • where, a = first term of the geometric sequence.

  • r = common ratio of the sequence

  • and n = nth term of the sequence.

Therefore, the sum of the first 8 terms of the geometric sequence is;

  • <em>S(8) = a + ar + ar² + ar³ + ar⁴ + ar⁵ + ar⁶ + ar⁷.</em>

In essence;

  • since common ratio, r = 2

  • and first term, a = -2.5

Therefore, we have;

  • S(8) = -2.5(1 + 2 + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷)

  • S(8) = -2.5(255)

S(8) = -637.5.

Therefore, the sum of the first eight terms of the <em>geometric sequence</em> whose first term is -2.5 and ratio is 2 is: -637.5

Read more:

brainly.com/question/22673892

6 0
3 years ago
Evaluate 4 with the exponent of 2 ​
nlexa [21]

Answer:

16

Step-by-step explanation:

4^2

This means the base of 4 multiply by itself 2 times

4*4

16

3 0
3 years ago
Which statement is true about the product (9x2 – 4y2)(3x – 2y)?
nirvana33 [79]

Answer:

It's the last choice.

Step-by-step explanation:

1.  (3x - 2y)(3x -2y)

= 9x^2 - 12xy + 4y^2

The product is  (9x^2 - 4y^2) (9x^2 - 12xy + 4y^2)

which is neither a  difference of 2 squares  or perfect square trinomial.

2.  (3x - 2y)(3x + 2y)

= 9x^2 - 6xy + 6xy - 4y^2

= 9x^2 - 4y^2

and (9x^2 - 4y^2(9x^2 - 4y^2) is a perfect square.

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3 years ago
26 cm/s= how many m/min
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 26 cm/s equals >15.6 m/min
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3 years ago
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