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Liono4ka [1.6K]
2 years ago
7

Walter's savings account has a balance of $273. After 5 years, what will the amount of interest be at 5% compounded quarterly?

Mathematics
1 answer:
rodikova [14]2 years ago
6 0
Given:
Principal = $273
Interest rate = 5% compounded quarterly
time = 5 years

A = P (1 + r/n)^nt

A = amount of money accumulated plus interest
P = principal
r = interest rate (in decimal form)
n = number of times the interest is compounded per year
t = total number of years the amount is deposited

A = $273 (1 + 0.05/4)⁴*⁵
A = $273 (1 + 0.0125)²⁰
A = $273 (1.0125)²⁰
A = $273 * 1.2820
A = $349.99

$349.99 - 273 = $76.99

The compounded interest amounts to $76.99
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The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of
grandymaker [24]

Answer:

At the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Step-by-step explanation:

We are given that the mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000.

The ship building association wishes to find out whether their welders earn more or less than $20,000 annually.

<u><em>Let </em></u>\mu<u><em> = mean gross annual incomes of certified welders</em></u>

So, Null Hypothesis, H_0 : \mu = $20,000    

Alternate hypothesis, H_A : \mu \neq $20,000

Here, null hypothesis states that the mean income of welders is equal to $20,000.

On the other hand, alternate hypothesis states that the mean income of welders is not $20,000.

Also, the test statistics that would be used here is <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;

                              T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean income

            \sigma = population standard deviation = $2,000

            n = sample size

Now, at the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

3 0
2 years ago
What is the sum of the infinite geometric series?<br><br> mc010-1.jpg
ra1l [238]
You haven't provided the series, therefore, I can only help with the concept.

<u><em>For an infinite geometric series, we have two possibilities for the common ratio (r):</em></u>
for r > 1, the terms in the series will keep increasing infinitely and the only possible logic summation of the series would be infinity
for r < 1, the terms will decrease, therefore, we can formulate a rule to get the sum of the infinite series

<u><em>In an infinite series with r < 1, the summation can be found using the following rule:</em></u>
sum = \frac{a_{1} }{1-r}
where:
a₁ is the first term in the series
r is the common ratio

<u>Example:</u>
For the series:
2 , 1, 0.5 , 0.25 , ....
we have:
a₁ = 2
r = 0.5
Therefre:
sum = \frac{2}{1-0.5} = 4

Hope this helps :)
4 0
2 years ago
Cameras are set up to watch an intersection and determine how many cars are let through with each green light interval. This stu
sergij07 [2.7K]

Answer Choices:

  • Simulation
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Answer:

Observational

3 0
2 years ago
At eagle bay it cost $12 per hour to rent a Canoe Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve
stich3 [128]

The cost to rent the canoe for 7 hours is $ 104

<em><u>Solution:</u></em>

At eagle bay it cost $12 per hour to rent a Canoe

Nate and his friends rented a canoe for 4 hours and paid $68

Let "x" be the number of hours rented

We can solve use the point slope equation

y-y_1 = m(x-x_1)

Where, "m" is the rate of change

(x_1, y_1) is the sample point

From given,

m = 12

(x_1, y_1) = (4, 68)

Therefore,

y - 68 = 12(x-4)

y - 68 = 12x -48\\\\y = 12x -48+68\\\\y = 12x + 20

Thus the linear equation is found

Here, "y" represents the amount paid for "x" hours

<em><u>Find the cost to rent the canoe for 7 hours</u></em>

Substitute x = 7 in linear equation

y = 12(7) + 20

y = 84 + 20

y = 104

Thus cost to rent the canoe for 7 hours is $ 104

4 0
2 years ago
A chef makes 3 containers of soup that fill a total of 120 soup bowls. Each container of soup costs $30 to make. What is the cos
saw5 [17]
300 dollers is your answer thanks for asking
4 0
2 years ago
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