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elena-s [515]
3 years ago
7

Zina spends 1.5 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be repres

ented by the sequence below. 1.5, 2.25, 3.0, 3.75, ... Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously?
Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
6 0
Based on the sequence, it shows an Arithmetic Sequence. The difference from one number to the other is 0.75. In order to get the sum of the sequence at a given N items, you need to use the formula. 

The formula is S = N/2 [2a1 + (N-1)d].
S = sum
N = number of items
a1 = first item of the sequence
d = difference from one item to the next item

Elena-2011 [213]3 years ago
4 0

Answer:

f(n+1) = f(n)+0.75

Step-by-step explanation:

it’s just a matter of trying each answer to see which one works.

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1. The manager of FrozonAir Refrigerator factory notices that on Monday it cost the company a total of $25,000 to build 30 refri
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Answer:

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Step-by-step explanation:

Let

Cost per refrigerator (marginal cost) = r

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Monday

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Tuesday

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Using Monday,

f = 25000 -30r

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30,000 = 40r + (25,000 -30r)

30,000 = 40r + 25,000 - 30r

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Divide both sides by 10

r = 5,000 / 10

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Substitute r= 500 into Monday equation

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= 25,000 - 30(500)

= 25,000 - 15,000

= 10,000

f = $10,000

Therefore, the fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500

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