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pogonyaev
2 years ago
10

Becky received a statement on her Certificate of Deposit showing that her investment had returned $6,336 over its life. If the C

ertificate of Deposit pays a simple interest rate of 4.4% and her initial investment was $16,000, how long had the money been invested?​
Mathematics
1 answer:
MakcuM [25]2 years ago
6 0

The amount of money returned as interest depends on the initial

amount, the interest rate and the number of years.

Response:

  • The money has been invested for <u>9 years</u>

<h3>What is simple interest and how can the duration of investment be found?</h3>

Given:

The return on investment = $6,336

Amount the Certificate of Deposit pays = 4.4% simple interest

The initial investment (the principal), P= $16,000

Required:

The duration the initial amount of money had been invested.

Solution:

Interest = Principal × Rate × Time

Which gives;

Time = \mathbf{ \dfrac{Interest  }{ Principal \times Rate}}

Therefore;

Length \ of \ time \ of \ the \ investment = \mathbf{ \dfrac{\$6,336}{\$16,000 \times 0.044(/year)}} = 9

  • The duration the money had been invested = <u>9 years</u>

Learn more about simple interest here:

brainly.com/question/22943790

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Leto [7]

Answer:

Therefore, the measure of angles x is 55°.

Step-by-step explanation:

From the given figure ,

105° is the exterior angle

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We know that

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles

⇛ x° + 50° = 105°

⇛ x° = 105°-50°

⇛ x° = 55°

Therefore , x = 55°

<u>Exterior</u><u> </u><u>Angle:</u><u>↓</u>

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles.

Hope this helps!!

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How can 3.7 = x + (negative 5) be solved for x in one step? Add 3.7 to both sides. Add 5 to both sides. Subtract 3.7 from both s
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Add 5 to both sides.

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3.7 = x + (-5)

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3 years ago
$85.00 with 45% off how much will i pay
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45% of 85.00 = 38.25

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~Kiwi
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The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $5 each and will sell 800
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Answer:

The expected value of the profit is $-1

Step-by-step explanation:

The expected value of any discrete variable X is calculate as:

E(X)=X1*P(X1)+X2*P(X3)+...+X3*P(X3)

Where X1, X2, ..., X3 are the values that the variable can take and P(X1), P(X2), ..., P(X3) are their probabilities.

In this case the variable X is the dollars that can win, so:

X1=$2,000

X2=$300

x3=$20

X4=$0

Then the probabilities can be calculate as:

P(X1)=\frac{1}{800}

P(X2)=\frac{3}{800}

P(X3)=\frac{15}{800}

P(X4)=\frac{781}{800}

Replacing the variables and probabilities on the equation of expected value we get:

E(X)=(2000*\frac{1}{800} )+(300*\frac{3}{800} )+(20*\frac{15}{800} )+(0*\frac{781}{800} )

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Additionally, the student bought a ticket by $5, so the expected profit can be calculate as:

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Finally, the expected value of the profit is $-1

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