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Otrada [13]
3 years ago
15

A teacher had $57. 72 I’m his Checking’s account .He made a deposit of $209. 54 .Then he wrote a check for $72.00 and another ch

eck for $27.50 .What is the new balance in his checking’s account
Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0
57.27 + 209.54 = 267.26
72.00 + 27.50 = 99.50
267.26 - 99.50 = 167.76
167.76 is the new balance in the checking account.
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A Hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute . The total c
mojhsa [17]

\bf \stackrel{\textit{cubic feet of air}}{\stackrel{\textit{dependent}}{a(t)}}\qquad \stackrel{\stackrel{\textit{time in minutes}}{independent}}{t}~\hspace{7em}a(t)=6000t


the "t" variable is independent, namely it can change values "freely", and a(t) is dependent, because it depends on those values on "t" to get its own value.

if we make a table of values for minutes, we know the balloon is inflating at 6000 ft³ each passing minute.

1 minute......................... 6000(1) ft³

2 minutes......................6000(2) ft³

3 minutes......................6000(3) ft³

4 minutes......................6000(4) ft³

t minutes......................6000(t) ft³


before getting in the domain and range, let's find out how much air after 6 minutes.

a(6) = 6000(6)

a(6) = 36000 ft³.


now, what domain, namely values for "t" make sense?

well, we know the balloon can only hold up to 90000 ft³, and on every passing minute is filling up by 6000 ft³, after how many minutes will it be filled up?

90000/6000 = 15, after 15 minutes.

so at 0 minutes, t = 0, the balloon is empty, and 15 minutes later, t = 15, the balloon is filled up, [ 0 , 15 ].


what values for the range, namely a(t), makes sense?

well, we know when the balloon is empty is holding 0 ft³, and when is full it has 90000 ft³, [0 , 90000].

5 0
3 years ago
The office in the living room in a tiny house shower wall the area of the office is 28 ft the area of the living room is 63 ft t
Delicious77 [7]

UHHH I DONT KNOW BUT I THINK ITS HMMMMM MAYBE 56??

4 0
2 years ago
Read 2 more answers
At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician
Serhud [2]

Answer:

The value of the test statistic is t = 1.97

Step-by-step explanation:

The null hypothesis is:

H_{0} = 250

The alternate hypotesis is:

H_{1} \neq 250

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the null hypothesis value, \sigma is the standard deviation and n is the size of the sample.

In this problem:

X = 251.6, \mu = 250, \sigma = 5.4, n = 44

So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}

t = 1.97

The value of the test statistic is t = 1.97

4 0
3 years ago
A grid shows the positions of a subway stop and your house. The subway stop is located at (-1, 6) and your house is located at (
blondinia [14]
The square roost of 34 units
3 0
3 years ago
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Coyne Corporation is evaluating a capital investment opportunity. This project would require an initial investment of​ $36,000 t
Zarrin [17]

Answer:

$27,643

Step-by-step explanation:

The net present value is the present value of after tax cash flows from an investment less the amount invested.

The formula for the NPV can be found in the attached image.

The NPV can be found using a financial calculator:

The cash flow for year zero = $-36,000

Cash flow from year one to three = $19,000

Cash flow for year four =$19,000 + $5,000 = $24,000

I = 10%

NPV = $27,643

I hope my answer helps you

5 0
3 years ago
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