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sineoko [7]
3 years ago
12

The value of which of these expressions is closest to e?

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0
The correct answer for the exercise shown above, is the first option (Option A), which is:

 A. <span>(1+1/18)^18

 The explanation is shown below:

 1- You have that the number e is an irrational number, therefore, its value is aproximated:

 e=2.7182

 2- You have the following expressions:

 </span>(1+1/18)^18=2.6464 
 <span>(1+1/17)^17=2.6424
 </span><span>(1+1/16)^16=2.6379
 </span><span>(1+1/15)^15=2.6328

 Therefore the value of the expression that is closest to e is the Option A.</span>
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The amount of money in Nadia’s savings account is represented by the recursive formula an=1.025(an-1)+50 if a6=291.51 what are t
Elis [28]
Recursive formula is one way of solving an arithmetic sequence. It contains the initial term of a sequence and the implementing rule that serve as a pattern in finding the next terms. In the problem given, the 6th term is provided, therefore we can solve for the initial term in reverse. To make use of it, instead of multiplying 1.025, we should divide it after deducting 50 (which supposedly is added).
<span>
Therefore, we perform the given formula: A (n) = <span>1.025(an-1) + 50
</span></span>a(5) =1.025 (235.62) + 50 = 291.51

a(4) = 1.025 (181.09) + 50 = 235.62

a(3) = 1.025 (127.89) + 50 = 181.09

a(2) = 1.025 (75.99) + 50 = 127.89

a(1) = 1.025 (25.36) + 50 = 75.99

a(n) = 25.36

The terms before a(6) are indicated above, since a(6) is already given.

So, the correct answer is <span>A. $25.36, $75.99.</span>
3 0
3 years ago
What are all of the factors of 24 and 27
klasskru [66]

The factors of a number are <em>all of the positive whole numbers that go into it evenly</em>. For example, 2 is a factor of 6 because 6 ÷ 2 = 3, or equivalently, 6 = 2 x 3. Note that this naturally implies that every whole number has 1 and itself as a factor.

The numbers that go evenly into 24 are 1, 2, 3, 4, 6, 8, 12, and 24. For 27, those numbers are 1, 3, 9, and 27.

The <em>common factors </em>between two numbers are numbers that go into <em>both </em>numbers evenly. Looking through the lists for 24 and 27, we see that 1 and 3 are their common factors. The <em>greatest</em> common factor is, of course, the largest of these, so the greatest common factor of 24 and 27 is 3.

7 0
2 years ago
4 math problem
Aneli [31]

Answer:

Step-by-step explanation:

1)y=-6x-14   ---------(i)

-x-3y=-9  ---------- (ii)

Substitution method:

Substitute y  value in equ (i)

-x -3*(-6x-14) = -9

-x - 3*-6x -3*(-14)= -9

-x + 18x + 42 = -9

17x = -9 -42

17x = -51

x = -51/17

x = -3

Substitute x value in equation (i)

y = -6*-3 -14

y =18-14

y = 4

6 0
3 years ago
Read 2 more answers
Find a positive angle less than 360° that is coterminal with the given angle.
olya-2409 [2.1K]

Answer:

3(360⁰)-335⁰

=1080⁰-335⁰

=745⁰ is a positive angle.

6 0
2 years ago
Zach bought two jet skis for 15,480. He will make 36 payments. How much will each payment be?
anyanavicka [17]

$430 because you divide 15,480 divided by 36 and get your answer

7 0
3 years ago
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