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Stels [109]
3 years ago
15

A group of 20 students includes 5 students in sixth grade, 8 students in seventh grade, and 7 students in eighth grade. Each stu

dent name and grade are written on an index card and place into a bag. A card is randomly selected from the bag. What is the probability that a seventh grader name will be selected, P (seventh grader)? Enter the correct answer, as a fraction, a decimal, and a percent.
Mathematics
2 answers:
inessss [21]3 years ago
7 0

Answer:

2/5; 0.4; 40%

Step-by-step explanation:

Probability is going to be the number of seventh graders divided by the total number of students.

In this case, there are 8 seventh graders and 20 students. So, set up your fraction to be 8/20. This can be simplified to 2/5.

Now, you can divide 2/5 using long division or use your calculator, if permitted, to convert 2/5 to a decimal. You will get 0.4.

You can also figure this out by thinking that 2/5 = 4/10, so 4/10 = 0.4.

Now for percents, just move the decimal point of a decimal number two spaces to the right. If we have 0.40, we move the decimal point to the right twice to get 40, and add the percent sign to get 40%.

bulgar [2K]3 years ago
7 0

Answer:

2/5, 0.4, 40%

Step-by-step explanation:

\frac{8}{20}  =  \frac{2}{5}  \\  \frac{2}{5}  = 0.4 \\ 0.4 = 40\%

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Answer:

The sum of money deposited is approximately $22,021.74

Step-by-step explanation:

The given interest and amounts of the deposit are outlined as follows;

The simple interest per annum, R = 0.325%

The number of years the money is deposited, T = 4 years

The total amount received (Interest + Initial deposit), A = $50,650

We have;

I = P × R × T

Where;

P = The principal (initial amount deposited)

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Therefore;

The total amount received, A = P + I

P + I = P + P × R × T = P × (1 + R × T)

∴ A = P + I = P × (1 + R × T)

P = A/(1 + R × T)

Plugging in the values, gives;

P = 50,650/(1 + 0.325 × 4) = 506,500/23 ≈ 22,021.74

The sum of money deposited, P = $22,021.74

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