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Sophie [7]
4 years ago
7

Last year Anne invested a total of $6,400. She invested part of it in a certificate of deposit that earned 2% interest for the y

ear. The rest of the investment was put into bonds that earned 6% interest for the year. Anne earned 3.75% in interest overall. How much money did Anne put into each type of investment?
Mathematics
1 answer:
zavuch27 [327]4 years ago
3 0
Suppose Anne invested $x in certificate of deposit and $(6400-x) in bonds.
Interest rate earned in certificate deposit will be:
2/100*x=0.02x
Interest earned in bonds will be:
6/100*(6400-x)
=(364-0.06x)
Total amount of interest earned was 3.75%, this is equal to:
3.75/100*6400
=240
hence we conclude that:
0.02x+(364-0.06x)=240
0.02x+364-0.06x=240
0.02x-0.06x=240-364
-0.04x=-124
x=-124/(-0.04)
x=$3100
hence the amount invested in certificate was $3100 and the amount invested in bonds was (6400-3100)=$3300
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Answer:

Proper Subsets = 1023

Step-by-step explanation:

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Required

Determine the proper subsets

Proper Subset (P) is calculated using;

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In this case;

n = 10

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P = 2^n - 1

P = 2^{10} - 1

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P = 1023

Hence;

<em>Proper Subsets = 1023</em>

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3 years ago
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icang [17]
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4 years ago
What is it? Eighty-six divided by six??
bixtya [17]
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6 0
3 years ago
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sesenic [268]

In the elimination method, one variable is eliminated from the system of equations to find the value of the other.

To create the opposite terms of the x-variable-

  • The first equation be multiplied by the number 4.
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<h3>What is the elimination method?</h3>

To solve the system of equations and find the value of the variables, the elimination method is used.

In this method, one variable is eliminated from the system of equations to find the value of the other.

Given information-

The system of the equation given in the problem is,

\rm 3x-\dfrac{1}{4}y=15

The second equation given in the problem is;

\rm \dfrac{2}{3}x-\dfrac{1}{6}y=6

To eliminate the x term, make the coefficient of x of both equations equal.

It can be done by multiplying the coefficient of x term of the first equation to the second equation and the coefficient of x term of the second equation to the first equation.

The first equation is multiplied by;

\rm 4\times 3x-4\times \dfrac{1}{4}y=15\times 4\\\\12x-y=50

The second equation is multiplied by;

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Hence, to create the opposite terms of the x-variable-

The first equation is multiplied by the number 4.

The second equation is multiplied by the number -6.

Learn more about the elimination method here;

brainly.com/question/7013345

6 0
2 years ago
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If Point P is between Q and R and QP = 16 and Qr = 52. What is the length of PR?
Dimas [21]
1) Here, QR = QP + PR

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In short, Your Answer would be Option C

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Hope this helps!
5 0
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