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ikadub [295]
3 years ago
7

Michelle opened a savings account for her emergency fund. She deposited $2,000 into her account, which earns 2.10% interest, com

pounded monthly. How much will she have in the account after 1 year?
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

Answer: she will have $2042.4 have in the account after 1 year.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $2000

r = 2.1% = 2.1/100 = 0.021

n = 12 because it was compounded 12 times in a year.

t = 1 year

Therefore,

A = 2000(1 + 0.021/12)^12 × 1

A = 2000(1 + 0.00175)^12

A = 2000(1.00175)^12

A = $2042.4

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Answer:

Option B

Step-by-step explanation:

Don't trust answers teachers don't bother to spell correctly. Plus, finding the 100th term is very easy.

However, the explicit formula will take a long time to use, because it's explicit.

Option C is just wrong. You're supposed to multiply in the recursive formula.

Option D might be correct, but never trust those answers. Teachers do that to trip you up

3 0
3 years ago
20 POINTS!!! HELP ME!!!! Use the linear combination method to solve the system of equations. Explain each step of your solution.
madreJ [45]

The solution of the system of equations is (-3 , -2)

Step-by-step explanation:

Steps for Using Linear Combinations Method)

  • Arrange the equations with like terms in columns
  • Analyze the coefficients of x or y
  • Add the equations and solve for the remaining variable
  • Substitute the value into either equation and solve

∵ 3 x - 8 y = 7 ⇒ (1)

∵ x + 2 y = -7 ⇒ (2)

- Multiply equation (2) by 4 to make the coefficients of y are equal in

 magnitude and different in sign

∴ 4 x + 8 y = -28 ⇒ (3)

Add equations (1) and (3)

∵ 3 x - 8 y = 7 ⇒ (1)

∵ 4 x + 8 y = -28 ⇒ (3)

∴ 7 x = -21

- Divide both sides by 7

∴ x = -3

Substitute the value of x in equation (2) to find y

∵ x + 2 y = -7 ⇒ (2)

∵ x = -3

∴ -3 + 2 y = -7

- Add 3 to both sides

∴ 2 y = -4

- Divide both sides by 2

∴ y = -2

The solution of the system of equations is (-3 , -2)

Learn more:

You can learn more about the system of the linear equations in brainly.com/question/13168205

#LearnwithBrainly

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3 years ago
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Korvikt [17]

Step-by-step explanation:

× + 6 =4

x=4-6

x=-2

Hope it helps ☺️

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75th Percentile: 34

Interquartile Range: 29

Step-by-step explanation:

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3 years ago
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