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OLEGan [10]
3 years ago
6

Heather is considering purchasing an item that costs $17. The sales tax in Heather's area is set at 7.5%. What is the total purc

hase price that leather would be charged on this purchase? Round your answer to the nearest cent, if necessary.​
Mathematics
1 answer:
bija089 [108]3 years ago
3 0

Answer:

$18.28

Step-by-step explanation:

To get the answer all I did was take 7.5% of 17 which is 1.275

I then rounded 1.275 to 1.28. When you round up the number after the 7 has to be 5 or above. Seeing as the number was 5 we rounded it up to 1.28.

Then I took $17+$1.28= $18.28.

I hope this helps!!!

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According to a Field Poll conducted February 8 – 17, 2005, 79% of California adults (actual results are 400 out of 506 surveyed)
Jobisdone [24]

Answer: (0.760, 0.820)

Step-by-step explanation:

Let p be the population proportion of all adults feel that "education and our schools" is one of the top issues facing California.

Given : 79% (actual results are 400 out of 506 surveyed) of California adults feel that "education and our schools" is one of the top issues facing California.

i.e.Sample size : n= 506

Sample proportion : \hat{p}=0.79

Critical value for 90% confidence interval ( Using z-value table) :

z=1.645

Now, the 90% confidence interval for the population proportion will be :

\hat{p}\pm z\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.79\pm (1.645)\sqrt{\dfrac{0.79(1-0.79)}{506}}

i.e. 0.79\pm (1.645)(0.0181)

\approx0.79\pm 0.030=(0.79-0.030,\ 0.79+0.030)\\\\=(0.760,\ 0.820)

Hence, the 90% confidence interval for the population proportion= (0.760, 0.820)

7 0
4 years ago
Tan(y)+ cot(y)/csc(y)= sec(y) prove identity
ArbitrLikvidat [17]

[tan(y) + cot (y)]/csc (y)

tan (y) = sin (y)/cos (y)
cot (y) = cos (y)/sin (y)
csc (y) = 1/sin (y).
Now rewrite the expression with the equivalent values

[sin (y)/cos (y) + cos (y)/sin (y) ] / [1/sin (y)]

1st, let's work the Numerator only = [sin (y)/cos (y) + cos (y)].
                  = [(cos² (y) + sin² (y)]/ [cos (y).sin(y)]

or (cos² (y) + sin² (y) = 1, →Numerator = 1/[cos (y).sin(y)]

Denominator = csc (y) = [1/sin (y)], Then:

N/D = 1/[cos (y).sin(y)] / [1/sin (y)] =  [1 x sin (y)]/ [cos (y).sin (y)] = 1/cos (y)

 Or 1/cos (y) = sec (y) Q.E.D 
4 0
4 years ago
The daily profit, P, of a local bakery can be calculated using the formula P=m-(250+4h) when employees work a total of h hours a
qwelly [4]

Answer:

m=665+4h

Step-by-step explanation:

Profits of the local bakery is given by

P=m-(250+4h)

where

m = Amount of money to be received

P = Profit

h = Number of hours worked

Now P = $415

So,

P+(250+4h)=m\\\Rightarrow m=P+250+4h\\\Rightarrow m=415+250+4h\\\Rightarrow m=665+4h

The equation to calculate the amount of money, m, the bakery should receive if the desired profit is $415 is m=665+4h.

5 0
3 years ago
If f(x) = 3x - 5 and g(x) = x^2 - x<br>what is the value of f(2/3)​
9966 [12]

Answer:

x=5/3 hope i helped you

Step-by-step explanation:

7 0
3 years ago
Which of the following expressions has 3 terms?<br><br> y 3 + 1<br> 8x + y - z<br> xyz
Mice21 [21]
I believe it’s the second one
7 0
3 years ago
Read 2 more answers
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