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Masteriza [31]
3 years ago
11

Abbey wants to use her savings of $1325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 a

nd a monthly fee of $50. What is the maximum number of months for which Abbey can learn yoga with her savings?. . 24. . 25. . 26. . 27
Mathematics
1 answer:
butalik [34]3 years ago
7 0
Amount of savings that Abbey has = $1325
Fixed registration charge = $35
Then
Amount of money left in hand of Abbey = (1325 - 35) dollars
                                                               = 1290 dollars
Let us assume that with this amount of money,
Abbey can learn yoga for = x months
Then
50x = 1290
x = 1290/50
   = 25.8
As she cannot learn for 0.8 months, so she can learn for 25 months only. The correct option among all the options that are given in the question is the second option.
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<h3>See explanations below</h3>

Step-by-step explanation:

1) Given the recursive function An=an-1 + 3 when a1 = 5, we are  to find the first four terms;

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a2 = a1 +3

a2 = 5 + 3

a2 = 8

a3 = a2 + 3

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a4 = a3 + 3

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<em>The first four terms are 5, 8, 11 and 14</em>

<em></em>

<em>2) </em>For the recursive function  An=an-1 + 2/3 when a1 = 1

a2 = a1 + 2/3

a2 = 1 + 2/3

a2 = 5/3

a3 = a2 + 2/3

a3 = 5/3 + 2/3

a3 = 7/3

a4 = a3 + 2/3

a4 = 7/3 + 2/3

a4 = 9/3

a4 = 3

<em>Hence the first four terms of the sequence are 2/3, 5/3, 7/3, 3</em>

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a2 = a1 + 12

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a3 = 42 + 12

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a4 = 54+12

a4 = 66

<em>Hence the first four terms of the sequence are 30, 42, 54, 66</em>

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