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Stolb23 [73]
3 years ago
9

Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back plus 3% simple interest over one year. Write an eq

uation to represent the total amount Gwen will owe her parents. What is the total amount of money Gwen will owe her parents?
Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

$309

Step-by-step explanation:

Use the formula for simple interest: A = P(1+rt)

A represents total amount, unknown in this case.

P represents principal, or starting amount, 300 in this case.

r represents the interest rate in decimal form, 3% in this case, or 0.03.

t represents time, usually in years, 1 in this case.

A = P(1+rt)

A = 300(1+(0.03)(1))

A = 300(1.03)

A = 309

Gwen will owe $309.

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The table shows the time a patient spends at the dentist and the amount of the bill. A 2-column table with 4 rows. The first col
Vinvika [58]

The correlation coefficient for the data in the table was found to be 0.93.

The correct option is A.

<h3>What is the correlation coefficient?</h3>

The correlation coefficient focuses on the linear relationship between two variables.

Given

The first column is labeled time spent at the dentist (in hours) with entries 1.4, 2.7, 0.75, 1.6.

The second column is labeled bill amount (in dollars) with entries 235, 867, 156, 215.

The numbers between -1 and 1 should be one of the values related to the bill.

Taking the independent variable or input variable as, the time a patient spends at the dentist and the dependent variable or output variable as the amount of the bill.

Hence, The correlation coefficient for the data in the table was found to be 0.93.

To know more about correlation coefficient click the link given below.

brainly.com/question/26197675

3 0
2 years ago
You decide to put $5000 in a savings account to save $6000 down payment on a new car. If the account has an interest rate of 7%
bezimeni [28]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&\$6000\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years \end{cases}

\bf 6000=5000\left(1+\frac{0.07}{12}\right)^{12\cdot t}\implies \cfrac{6000}{5000}\approx (1.0058)^{12t}\implies \cfrac{6}{5}\approx(1.0058)^{12t} \\\\\\ \log\left( \cfrac{6}{5} \right)\approx \log[(1.0058)^{12t}]\implies \log\left( \cfrac{6}{5} \right)\approx 12t\log(1.0058) \\\\\\ \cfrac{\log\left( \frac{6}{5} \right)}{12\log(1.0058)}\approx t\implies 2.63\approx t\impliedby \textit{about 2 years, 7 months and 16 days}

6 0
4 years ago
A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 60 k
Paraphin [41]
Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.

Therefore  time for forward journey  =  x / 60
Return journey                                   =  x / 50

The total trip should not exceed 8 hours.
Therefore:              x / 60 + x / 50  <= 8.      LCM = 300

Taking LCM and multiplying on both sides:
                                5x  +  6x  <=  8(300)
                                       11x    <=  2400
                                           x    <=    2400/11
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The picnic spot must be less than or equal to 218.18 km.
5 0
3 years ago
suppose that a number written as a decimal has an infinite number of non- repeating digits after the decimal point. What is this
faltersainse [42]

Answer: Irrational number

If the decimal digits repeat forever, then the repeating decimal is considered rational.

For instance, 2/99 = 0.020202020202... where the "02" repeats forever

If we don't have such a pattern, then we cannot write the decimal as a fraction of two integers and the number is not rational. So it is irrational.

8 0
3 years ago
Choose all of the following scenarios below that contain biased samples.
Korvikt [17]

Answer:

1 and 3 are biased

Step-by-step explanation:

A biased sample is ond where all individuals were not given equal likelihood of being selected.

Number 1;

Picking students from the cafeteria would lead to sampling bias because not every student from the school eats from the cafeteria. Those she selected can not be used to account for the whole school. Those that use the cafeteria are only a representation of the whole school and not the entire school.

For number 3:

Paul is interested in finding the mean number of cloth shoppers In a mall and is only collecting data from one clothing store without considering other stores in the mall.

7 0
3 years ago
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