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bogdanovich [222]
3 years ago
14

SmartShop's profits have been growing at 5% per year. This year their profits were approximately $500,000. What were their profi

ts last year?
$475,000
$490,000
$460,000
Mathematics
2 answers:
nata0808 [166]3 years ago
8 0

Answer:

$475,000

Step-by-step explanation:

Since the profits increase by 5% each year, this means that each year the new profit is 105% of the old ones.

To find last year's profits, we divide this year's by 105%, or 1.05:

500000/1.05 = 476190.48

This means the profits last year were about $475,000.

Sliva [168]3 years ago
3 0
Their profits last year were $475,000
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Answer:

0.0286 = 2.86% probability that today is Monday.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Dressed correctly

Event B: Monday

Probability of being dressed correctly:

100% = 1 out of 4/7(mom dresses).

(0.5)^3 = 0.125 out of 3/7(toddler dresses himself). So

P(A) = 0.125\frac{3}{7} + \frac{4}{7} = \frac{0.125*3 + 4}{7} = \frac{4.375}{7} = 0.625

Probability of being dressed correctly and being Monday:

The toddler dresses himself on Monday, so (0.5)^3 = 0.125 probability of him being dressed correctly, 1/7 probability of being Monday, so:

P(A \cap B) = 0.125\frac{1}{7} = 0.0179

What is the probability that today is Monday?

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0.0286 = 2.86% probability that today is Monday.

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Answer:

1. \overline {TU}

2. <u>Given</u>

3. \overline {RT}  

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The two column proof is presented as follows;

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1.  \overline {RS} ≅  \overline {TU}    {}            Given

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