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Tanya [424]
2 years ago
12

Sarah paid $18,444 for a new car last week. This price was 6 percent above the vehicle’s invoice price. What was the dollar amou

nt of the invoice price?
Mathematics
2 answers:
Anastasy [175]2 years ago
7 0

Answer:

vehicle's invoice price is:

$17,400

Step-by-step explanation:

Sarah paid $18,444 for a new car last week.

This price was 6 percent above the vehicle’s invoice price.

Let the vehicle's invoice price be x.

⇒ \dfrac{100+6}{100}\times  x=18444

⇒ \dfrac{106}{100}\times x=18444

⇒ x=\dfrac{100}{106}\times 18444

⇒ x=17400

Hence,  vehicle's invoice price is:

$ 17,400

Phoenix [80]2 years ago
4 0
$18,444/(100+6)=$174 is amount of one percent
$174*100=$17,400 is vehicle's invoice price
Vehicle's invoice price is $17,400

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Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...12,5,−2,−9,...12, comma, 5, comma, minus, 2, comma, minus,
Andrew [12]

Answer:

A(n) = 19 - 7n

Step-by-step explanation:

12, 5, -2, -9,...

First term, a = 12

Common difference, d = a2 - a1

a2 = 5

a1 = 12

Common difference, d = a2 - a1

= 5 - 12

= -7

d = -7

A(n) = a + (n - 1)d

A(n) = 12 + (n - 1) -7

= 12 + (-7n + 7)

= 12 - 7n + 7

= 12 + 7 - 7n

= 19 - 7n

A(n) = 19 - 7n

5 0
2 years ago
Read 2 more answers
A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each
mash [69]

Answer: No

Step-by-step explanation:

$12-$4.50= $7.50

$7.50*15= $112.50

The Total cost is $135 She will only be making $112.50 in profits.

3 0
1 year ago
TV−→− bisects ∠RTS. If the m∠RTV=(16x−6)° and m∠VTS=(13x+9)° , what is the value of x and the m∠RTV ?
natta225 [31]

Answer:

x = 5

RTV = 74

Step-by-step explanation:

Given

RTV=16x - 6

VTS=13x+9

Required

Determine the values of x and RTV

Since, TV is a bisector, then

RTS = RTV + VTS --- (1)

and

RTV = VTS -- (2)

Substitute values of RTV and VTS in (2)

16x - 6 = 13x + 9

Collect Like Terms

16x - 13x = 9 + 6

3x = 15

Solve for x

x = 5

Substitute 5 for x in RTV=16x - 6

RTV = 16 * 5 - 6

RTV = 80 - 6

RTV = 74

8 0
2 years ago
Jerry's Fish Shack claims that 16% of its employees are late to work once a week. The manager surveyed 25 employees and found th
larisa86 [58]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion of employess are late to work is 0.16, so we need to apply a one sample proportion test:  

Null hypothesis:p=0.16  

Alternative hypothesis:p \neq 0.16  

z=\frac{0.20 -0.16}{\sqrt{\frac{0.16(1-0.16)}{25}}}=0.546  

p_v =2*P(z>0.546)=0.585  

Step-by-step explanation:

Data given and notation

n=25 represent the random sample taken

\hat p=0.2 estimated proportion  

p_o=0.16 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of employess are late to work is 0.16, so we need to apply a one sample proportion test:  

Null hypothesis:p=0.16  

Alternative hypothesis:p \neq 0.16  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.20 -0.16}{\sqrt{\frac{0.16(1-0.16)}{25}}}=0.546  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>0.546)=0.585  

4 0
2 years ago
15 points!!!
Travka [436]
8+292=300

8 out of 300 were defective.

\frac{8}{300}=\frac{x}{3000} \\  \\ 8*3000=300*x \\  \\ 24000=300x \\  \\ 80=x

80 pairs were defective
4 0
2 years ago
Read 2 more answers
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