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KIM [24]
3 years ago
12

Pete and Teegan each put the same amount of money in a new bank account. Teegan's account earns 2.75% simple interest, and she e

arned $2.20 in interest after one year. Pete's account earns 5% simple interest. How much interest did Pete's account earn after one year?
Mathematics
1 answer:
torisob [31]3 years ago
5 0

Answer:

$4.

Step-by-step explanation:

Let us assume that Pete and Teegan each put an amount of $P in a new bank account.

Teegan's account earns 2.75% simple interest and she earned $2.20 in interest after one year.

So, we can write \frac{P \times 2.75}{100} = 2.20

⇒ P = $80

Now, this $80 in Pete's account earns 5% simple interest.

Then after one year Pete will earn as interest \frac{80 \times 5}{100} = 4 Dollars. (Answer)

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A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to avera
guajiro [1.7K]

The question is incomplete. The complete question follows.

A company makes windows for use in homes and commercial builidings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n=44 windows yield a sample mean of 0.337 inch. Complete parts a and b.

a. What is the probability of x ≥ 0.337 if the windows meet the standards?

b. Based on your answer to part a, what would you conclude about the population of windows? Is it meeting the standards? (A result is unusual if it has a probability less than 0.05)

Answer and Step-by-step explanation: To answer this question, use <u><em>Central Limit Theorem</em></u>: it states regardless of the original population distribution, if the sample size is large enough, the sample mean distribution will approach a normal distribution.

The calculations for the CLT is given by normalizing the distribution, i.e.:

z=\frac{x-\mu}{\sigma/\sqrt{n} }

where

z is z-score

x is the sample mean

μ is population mean

σ is standard deviation of the population

n is the number of individuals in the sample

Calculating z-score for the window maker company:

z=\frac{0.337-0.325}{0.065/\sqrt{44} }

z=\frac{0.012}{0.0098}

z = 1.22

Using the z-score table, we found the probability:

P = 0.8888

As it is a "more than situation":

P(x≥0.337) = 1 - 0.8888

P(x≥0.337) = 0.1112  or 11.12%

a. Probability of x≥0.337 if the windows meet the standards is 11.12%.

b. Comparing results, probability of x≥0.337 is bigger than 0.05:

0.1112 > 0.05

So, we can conclude that the random sample of n=44 is meeting the standards estipulated.

7 0
3 years ago
Which statement correctly describes the expression
pav-90 [236]

Answer:

c

Step-by-step explanation:

choice A means

11 - 2 {m}^{3}

choice B means

2m - 11

choice C means which is the answer

{2m}^{3}  - 11

choice D means

{(2m)}^{3}  - 11

hope it helps ❤❤❤

For any question comment me

3 0
3 years ago
HELP!!! THIS IS DUE AT 11:59!
Misha Larkins [42]

Answer:

1. x = 22

2. x = 38

3. x = 24

Step-by-step explanation:

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3 0
3 years ago
The Elmina Wilson Company produces spaghetti sauce that is used in restaurants. The fixed costs total $1,329,050. The selling pr
Alekssandra [29.7K]

Answer:

174879 units

Step-by-step explanation:

Given that The Elmina Wilson Company produces spaghetti sauce.

Fixed costs =1,329,050 $

Selling price per  64 oz=12.40

Variable cost per can   = 4.80

Contribution = S-V=Selling price - var cost = 7.60 $

Break even poin in no of units = Fixed cost/Contribution per unit

=\frac{1,39,050}{7.60} \\=174878.94\\=174879

7 0
3 years ago
Examine the diagrams below. What is the angle pair
Setler [38]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
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