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Mrrafil [7]
3 years ago
8

Which explicit formula can be used to find the accounts balance at the beginning of year 3?

Mathematics
1 answer:
balandron [24]3 years ago
7 0

The formula for the amount A in an account with principal P and interest rate r compounded annually for t years is

... A(t) = P(1+r)^t

You want to find A when P=400, r=0.05, and t=3. Substituting those values gives you

... A(3) = 400·(1 +0.05)³

The appropriate choice is

... A. A(3) = 400·(1 +0.05)³

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An automatic machine is set to fill bags of dog food with exactly 25 pounds on average with a standard deviation of 0.5 pounds.
Rasek [7]

Answer:

Step-by-step explanation:

Given that an automatic machine is set to fill bags of dog food with exactly 25 pounds on average with a standard deviation of 0.5 pounds.

Sample size = n =100

x bar = 24.85 pounds

Sample std error = \frac{\sigma}{\sqrt{n} } =0.05

Hypotheses:

H_0: x bar = 25\\H_a: x bar \neq 25

(Two tailed test at 5% level)

Mean difference =0.15

Test statistic = mean diff/se = 3

Since population std dev is known z test can be used

p value =0.0000

Since p <0.05 we find that the bag does not contain exactly 25 pounds.

5 0
3 years ago
Collection of domestic animals is a set. However, a collection of big domestic animal is not a set. How do you justify this stat
Schach [20]

Collection of domestic animals is a set. However, a collection of big domestic animal is not a set as it is a subset.

<h3>What are Domesticated animals?</h3>

Domestic animals are known to bee  dogs, cats, etc. that can live along with humans.

Note that Collection of domestic animals is a set but the collection of big domestic animal is a subset of domestic animals this is because the big domestic animal are part of the domestic animals and as such it will be a subset.

Learn more about animals from

brainly.com/question/14442826

#SPJ1

6 0
2 years ago
10x - 15 = 12x - 101
GenaCL600 [577]
<span>-49 + -2x + 12x = 101 + -12x + 12x Combine like terms: -2x + 12x = 10x -49 + 10x ... 101 + 49 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15 </span><span>
</span>
4 0
3 years ago
Read 2 more answers
3 times 3 times 9 times 10 Equals??
lilavasa [31]

Answer:

810

Step-by-step explanation:

3 x 3 x 9 x 10 = 810 [times means multiply]

5 0
3 years ago
Read 2 more answers
An auto shop charges a customer an equal amount for each new tire purchased plus an additional fee for an oil change.
Nitella [24]

The cost per unit of the auto shop function is the slope of the function

87 represents the slope and the cost per tire purchased

The function is given as:

\mathbf{C(t) = 87t + 32}

A linear function is represented as:

\mathbf{C(t) = mt + b}

Where:

m represents the slope or the unit rate.

So, by comparison:

\mathbf{m = 87}

This means that 87 represents the slope and the cost per tire purchased

Read more about slopes at:

brainly.com/question/18576224

6 0
2 years ago
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