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Serggg [28]
3 years ago
8

Samantha deposited $300 in a savings account. The account earns 3.5% interest compounded annually. She makes no more deposits an

d withdraws no money from the account. How much interest will Samantha’s account have earned after 2 years?
Mathematics
2 answers:
Triss [41]3 years ago
6 0

Answer:

She will have earned $321.37 after 2 years.

Step-by-step explanation:

Principal: $300

Interest Rate: 3.5%

Time: 2 years

Compounded Annually means that the principal will earn a certain amount this year and a greater amount next year, since it takes the new balance and add the interest rate to it.

Year 1: 3.5% of 300= 10.5

300 + 10.5 = 310.5

Year 1 balance: $310.5

Year 2: 3.5% of 310.5=10.87

310.5 + 10.87= 321.37

Year 2 balance: $321.31

kifflom [539]3 years ago
4 0

Answer:

200

Step-by-step explanation:

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The slope is -3 and the y intercept is -1

Step-by-step explanation:

the correct answer is - The slope is -3 and the y intercept is -1

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2 years ago
Help would be greatly appreciated!
NNADVOKAT [17]

Answer:

D the answer is D, thats when cos and sin are equal together

5 0
2 years ago
In an anthropology class there are 77 anthropology majors and 1414 non-anthropology majors. 55 students are randomly selected to
Nata [24]

Answer:

P = 0.9989

Step-by-step explanation:

In order to do this, I will use the following numbers to make the calculations easier. In this case, We'll say that we have 7 majors and 14 non majors anthopology to present a topic.

This means that in the class we have 21 students.

Now, we choose 5 of them, and we want to know the probability that 1 of them is non major.

First, we need to calculate the number of ways we can select the students in all cases, and then, the probability.

First, we'll use the combination formula, to calculate the number of ways we can select the 5 students out of the 21. We use combination, because it does not matter the order that the students are selected.

C = m! / n!(m - n)!

Where:

m: number of students

n: number of selected students out of m.

With this expression we will calculate first, how many ways we can choose the 5 students out of 21:

C1 = 21! / 5!(21-5)! = 20,349

Now let's calculate the number of ways you can get the all 5 students are non majors:

C2 = 14! / 5!(14 - 5)! = 2002

Now we need to know the number of ways we can get 4 non majors and 1 major:

C3 = C3' * C3''

C3' represents the number of ways we can get 4 non majors and the C3'' represents the number of ways we can get 1 major.

C3' = 14! / 4!(14 - 4)! = 1,001

C3'' = 7! / 1!(7 - 1)! = 7

C3 = 1001 * 7 = 7,007 ways to get 4 non majors and 1 major

Now the way to get 3 non majors and 2 majors, we do the same thing we do to get 4 non majors and 1 major, but changing the numbers. Then the way to get 2 non majors and 3 majors, and finally 1 non major and 4 majors:

3 non majors and 2 majors:

C4 = C4' * C4'' = [14! / 3!(14 - 3)!] * [7! / 2!(7 - 2)!] = 7,644

2 non majors and 3 majors:

C5 = C5' * C5'' = [14! / 2!(14 - 2)!] * [7! / 3!(7 - 3)!] = 3,185

1 non major and 4 majors:

C6 = C6' * C6'' = [14! / 1!(14 - 1)!] * [7! / 4!(7 - 4)!] = 490

Finally to know the probability of getting 1 out of the 5 to be non major, we have to sum all the previous results, and divide them by the ways we can choose the 5 students (C1):

P = 2,002 + 7,007 + 7,644 + 3,185 + 490 / 20,349

P = 0.9989

5 0
3 years ago
Jasmine’s grandma gave her $7 to spend at a yogurt stand. The frozen yogurt and toppings cost $0.45 per ounce. She also wants to
seraphim [82]

Answer:

Jasmine can afford 10 ounces of yogurt and toppings.

Step-by-step explanation:

$7 - $2.50 bottle of water

= $4.50

$4.50 divided by $0.45

= 10 ounces

3 0
3 years ago
If u not lame den fren me or not idrc<br> but anyways fre point
Inessa [10]

answer:

yes, thank you for the points

step-by-step explanation:

  • let me know if you have any other questions
  • but thank you for the POINTS
5 0
2 years ago
Read 2 more answers
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