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Alisiya [41]
3 years ago
12

Find the related rate and unit rate for each ratio. Remember, you divide the first quantity by the second to find the related ra

te. What do you notice about all of the rates and unit rate?
Mathematics
1 answer:
shtirl [24]3 years ago
6 0
A grocery store sells a 6-pack of bottled water for $3.79, a 9-pack for$4.50, and a 12-pack for $6.89. which package costs the least per bottle?
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Melanie invests $4,000 into an account offering 4% interest compounded annually. Gina invests $4,000 into a simple interest savi
VashaNatasha [74]
Melanie: 
Amount after 5 years = 4000(1 + 0.04)⁵ = $4867

Gina:
Amount after 5 years = 4000 + 5(0.045 x 4000) = $4900

Answer: Gina has the greater balance and her balance is $4900.
4 0
3 years ago
Read 2 more answers
Please help me. I need help
mel-nik [20]
<h3>Answer:</h3>

  a.  -(3√13)/13

<h3>Step-by-step explanation:</h3>

The cosine can be found from the tangent by way of the secant.

  tan(θ)² +1 = sec(θ)² = 1/cos(θ)²

Then ...

  cos(θ) = ±1/√(tan(θ)² +1)

The <em>cosine is negative in the second quadrant</em>, so we will choose that sign.

  cos(θ) = -1/√((-2/3)² +1) = -1/√(4/9 +1) = -1/√(13/9)

  cos(θ) = -3/√13 = -(3√13)/13 . . . . . matches your selection A

3 0
3 years ago
Read 2 more answers
Solve the following equation:<br> 1/3(y - 2) -5/6 (y + 1) =3/ 4(0 - 3) - 2
Evgesh-ka [11]

Answer:

11/5

Step-by-step explanation:

If you need help with more problems like this you can use m a t h w a y. (remove the spaces)  :)

8 0
3 years ago
Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A
belka [17]

Answer:

a) y=0.00991 x +1.042  

b) r^2 = 0.7503^2 = 0.563

c) r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

y = mx +b

Wehre

m=\frac{S_{xy}}{S_{xx}}  

And:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625  

And the slope would be:  

m=\frac{625}{63085.714}=0.00991  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429  

\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7  

And we can find the intercept using this:  

b=\bar y -m \bar x=7-(0.00991*601.429)=1.042  

And the line would be:

y=0.00991 x +1.042  

Part b

The correlation coefficient is given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=7 \sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354  

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

The determination coefficient is given by:

r^2 = 0.7503^2 = 0.563

Part c

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

4 0
3 years ago
On the last day of the fiscal year, a co-worker asks you to cut a check for $2,000 as a miscellaneous expense for supplies in or
S_A_V [24]

Answer:

A. No, Should not in any way write the check today and neither record the expense or even write the check tomorrow.

B. The company will be affected if the check

was cut today and the expense was not recorded, which means that the net income of the current fiscal year will be increased by the amount of $2,000 while the net income of the next year will be reduced by the amount of $2,000 and this tend to happens due to some error.

Step-by-step explanation:

A. Based on accounting principle every debit entry must have a corresponding credit entry which means that in a situation where a check is been cut today for miscellaneous expense and for supplies the Miscellaneous expense account should be debited while the bank account should as well be credited based on the double entry principle because if not so the current year net income will wrongly shows and be higher with the amount of $2,000.

B. In a situation where the check was cut today and expense was recorded the following day or tomorrow it means that the current year financial statement net income will be increased by the amount of $2,000 while the amount shown in the balance sheet will decreased by the amount of $2,000.

Therefore I can issue a check today and as well record the expense the same day in which the check was issued.

4 0
3 years ago
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