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gladu [14]
3 years ago
12

A store is offering a 20% discount on all sales over $50. If you purchase a shirt and a pair of jeans for $62.50, what is the am

ount of the discount you would receive? A. $10.00 B. $50.00 C. $12.50 D. $15.63
Mathematics
2 answers:
Katen [24]3 years ago
8 0
Since the sales were over $ 50, u get a 20% discount
20% of 62.50....turn ur percent to a decimal..." of " means multiply
0.20(62.50) = $ 12.50 <== ur discount
laila [671]3 years ago
7 0
Answer is C. because to find 20% of 62.50, you need to divide 62.50 by 100 ,which is 0.625, the multiply it by 20 (because we are trying to find 20% of 62.50) which is 12.50
hope it helps!

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If $300 is invested at a rate of 6% per year and is compounded quarterly, how much will the investment be worth in 12 years?
MAXImum [283]

Answer:

$613.04

Step-by-step explanation:

<em>Compound Interest Formula:</em>

   A = P(1+\frac{r}{n})^{nt}

   n = number of compounds

   t = time

   r = interest rate

   P = principle amount (original amount)

   A = final amount

Since it's compounded quarterly, that means there will be 4 compounds per year, so n=4. The interest rate has to be converted to the decimal value, and this is done by simply dividing it by 100 to get r=0.06.

Plug Values into equation:

A = 300(1+\frac{0.06}{4})^{12*4}

Simplify inside parenthesis

A = 300(1.015)^{48}

Calculate exponent

A \approx 300(2.043478)

Multiply values

A \approx 613.04348

Round

A = 613.04

7 0
2 years ago
The number of students in a class is 60. The number of boys is seven-fifths the number of girls. Find the number of boys in the
Fynjy0 [20]

Step-by-step explanation:

Let the number of girls = x

Therefore, no. of boys = \frac{7}{5} \times x

\because \: no \: of \:  boys + no \: of \: girls \:  = 60 \\  \\  \therefore \:  \frac{7}{5} x + x = 60 \\  \\ \therefore \:  \frac{7x + 5x}{5} = 60 \\  \\  \therefore \:  \frac{12x}{5} = 60 \\  \\  \therefore \: x = 60 \times  \frac{5}{12}  \\  \\ \therefore \: x = 5 \times 5 \\  \\ \therefore \: x = 25  \\  \\  \therefore \:  \frac{7}{5} x =  \frac{7}{5}  \times 25 = 7 \times 5 = 35 \\

Thus, no of boys in the class is 35.

3 0
3 years ago
A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are nequal
UNO [17]
<h2>Answer with explanation:</h2>

Given : Sample size n= 189

Sample mean : \overline{x}=7.58

Sample standard deviation : s=1.93

Let \mu be the population mean of "like" ratings of male dates made by the female dates.

As per question ,

Null hypothesis : \mu\geq8.00

Alternative hypothesis : \mu , It means the test is a one-tailed t-test. ( we use t-test when population standard deviation is unknown.)

Test statistic:

t_{stat}=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\=\dfrac{7.58-8.00}{\dfrac{1.93}{\sqrt{189}}}=-2.99

For 0.05 significance and df =188 (df=n-1) p-value = .001582. [By t-table]

Since  .001582< 0.05

Decision: p-value < significance level , that means there is statistical significance, so we reject the null hypothesis.

Conclusion : We support the claim at 5% significance that t the population mean of such ratings is less than 8.00.

4 0
4 years ago
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