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2 years ago

Find the total cost for a meal that costs $65 with 3% tax.

Mathematics

2 answers:

olga55 [171]2 years ago

5 0

Answer:

total cost =

65/100 X 103= $66.95

Rudik [331]2 years ago

5 0

Answer:

$69.88

Step-by-step explanation:

Firstly, divide the tax rate by 100: 3%/100 = 0.0003 (tax rate as a decimal). Note: to easily divide by 100, just move the decimal point two spaces to the left.

Now, find the tax value by multiplying tax rate by the before tax price:

tax = 65 × 0.0003

tax = 4.88 (tax value rouded to 2 decimals)

Add tax to the before tax price to get the final price:

The final price including tax = 65 + 4.88 = 69.88

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Determine if the sequence is arithmetic. If it is, find the common difference. Is the sequence a function ?

BaLLatris [955]

$6)\\r=a_{n+1}-a_n\to r=a_2-a_1=a_3-a_2=a_4-a_3=...\\\\a_1=-7;\ a_2=-10;\ a_3=-11;\ a_4=-13\\\\a_2-a_1=-10-(-7)=-10+7=-3\\a_3-a_2=-11-(-10)=-11+10=-1\\\\a_3-a_2\neq a_2-a_1\\\\\text{It's not an arithmetic sequence}$

$\r=\dfrac{a_{n+1}}{a_n}\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...\\\\8.)\\a_1=4;\ a_2=20;\ a_3=100;\ a_4=500\\\\r=\dfrac{20}{4}=\dfrac{100}{20}=\dfrac{500}{100}=5\\\\10.)\\a_1-30;\ a_2=-45;\ a_3=-50;\ a_4=-65\\\\\dfrac{a_2}{a_1}=\dfrac{-45}{-30}=\dfrac{3}{2}\\\\\dfrac{a_3}{a_2}=\dfrac{-50}{-45}=\dfrac{10}{9}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}$
$12.)\\a_1=-7;\ a_2=-14;\ a_3=-21;\ a_4=-28\\\\\dfrac{a_2}{a_1}=\dfrac{-14}{-7}=2\\\\\dfrac{a_3}{a_2}=\dfrac{-21}{-14}=\dfrac{3}{2}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}\\\\\text{It's a function}$

8 0

2 years ago

A sample of 15 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If s = 8.3 minutes, find the 95%

OleMash [197]

Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

Step :- (i)

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

95% of confidence intervals

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )$

Step:-(ii)

The degrees of freedom γ=n-1 = 15-1=14

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

$(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )$

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

(29.4261 ,36.9739)

Conclusion:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

8 0

3 years ago

(4y+3)-(2y-9) Simplify. Find the difference.

Nadusha1986 [10]

Answer:

2y+12

Hope this helps

Step-by-step explanation:

5 0

2 years ago

One fourth multiplied by four

podryga [215]

Answer:

Step-by-step explanation:

$\frac{1}{4} \times 4 = 1$

8 0

3 years ago

Read 2 more answers

The measurement around the trunk of a tree just below shoulder height is called girth. The largest known american beech tree in

Bumek [7]

Answer:

24 1/6 - 19 5/12=

24 1/6÷12- 19 5/12÷12

24 2/2- 19 5/1= 5 3/1

3÷1= 3

5÷3= 3 1/2

Step-by-step explanation:

Step 1: Do the lcd and the number in between what you do is multiply the number next to it.

Step 2: Then subtract the mixed numbers and you get your answer.

Step 3: Divide 3 by 1

Step 4: Divide 3 by 5 and answer is 3 1/2

3 0

3 years ago