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Ymorist [56]
3 years ago
5

Find the first six terms of the sequence. a1 = 4, an = 2 • an-1

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0
<span>a1 = 4, an = 2 • an-1 a1 = 4 a2 = 2* a2-1 = 2*a1 = 2*4 = 8 a3 = 2* a3-1 = 2*a2 = 2*8 = 16 a4 = 2* a4-1 = 2*a3 = 2*16 = 32 a5 = 2* a5-1 = 2*a4 = 2*32 = 64 a6 = 2* a6-1 = 2*a5 = 2*64 = 128 The first six terms of the sequence are 4, 8, 16, 32, 64, and 128.</span>
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How long will it take Birr 500
notka56 [123]

It would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.

<h3 /><h3>Simple interest formula</h3>

Using the simple interest formula A = P(1 + rt) where

  • P = princial amount = Birr 500,
  • A = final amount = 4P (since it is quadrupled),
  • r = rate = 12% = 12/100 = 0.12 and
  • t = time to quadruple
<h3 /><h3>Finding the time it takes to quadruple </h3>

Since we require t, making t subject of the formula, we have

t = [(A/P) - 1]/r

Substituting the values of the variables into the equation, we have

t = [(A/P) - 1]/r

t = [(4P/P) - 1]/0.12

t = [4 - 1]/0.12

t = 3/0.12

t = 25 years

So, it would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.

Learn more about simple interest here:

brainly.com/question/25793394

4 0
2 years ago
Which of the following sets are closed under multiplication? Select all that apply.
ivolga24 [154]

Answer:

Integers, whole numbers and polynomials are sets of closed under multiplication.

Only Irrational numbers are not the sets of closed under multiplication.                  

Step-by-step explanation:

To find : Which of the following sets are closed under multiplication?

1. Integers  

Yes, integers is a sets of closed under multiplication as if you multiply an integer by an integer, you will always get another  integer.

Example - 3\times 3=9 is an integer

2. Irrational numbers


No, irrationals are not closed under multiplication.

Example - \sqrt{3} \times \sqrt{3} =3 is a rational number

3. Whole numbers


Yes, whole numbers is a sets of closed under multiplication as if you multiply a whole number by a whole number, you will always get another  whole number.

Example - 5\times 5=25 is a whole number

4. Polynomials

Yes, polynomial is sets of closed under multiplication as if you multiply the variables' exponents are added, and the exponents in polynomials are whole numbers so the new exponents will be whole numbers.

Example - (x + 1)(x^2 + 4x + 3) = x^3 + 5x^2 + 7x + 3 is a polynomial.


4 0
3 years ago
Read 2 more answers
Complete the following equation using &lt;,&gt;,or =.57%_1
nata0808 [166]
0.57 is less than 1
4 0
3 years ago
Write 9 as a fraction with 7 in the num denominator
Elena L [17]

If I understand you correctly, you want a fraction with
7 in the denominator, but the whole thing still has to
be equal to  9 .

Here's a fraction like that:      63/7 .

4 0
3 years ago
Read 2 more answers
Hey everyone. what is 7(1-8n)
Taya2010 [7]

Answer:

7(1-8n)=0


We simplify the equation to the form, which is simple to understand

7(1-8n)=0


Reorder the terms in parentheses

+(+7-56n)=0


Remove unnecessary parentheses

+7-56n=0


We move all terms containing n to the left and all other terms to the right.

-56n=0-7


We simplify left and right side of the equation.

-56n=-7


We divide both sides of the equation by -56 to get n.

n=0.125




5 0
3 years ago
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