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mylen [45]
3 years ago
10

Emily wins 22000$. She has to pay 10% for charity and then she decides to buy a car for 10800$. She divides the rest of them bet

ween her son and daughter in the ratio 1:4. How much does her daughter get.
Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

$7 200

Step-by-step explanation:

Amount of money paid for charity = \frac{10}{100} × $22 000

                                                         = $2 200

Remaining money left for children = $22 000 - $2 200 - $10 800

                                                         = $9000

Let the amount of money her son receives be x and the amount her daughter gets be 4x.

Son's $ + Daughter's $ = $9000

x + 4x = 9000

5x = 9000

Amount of money her daughter gets (4x) = \frac{4}{5} × 9000

                                                                     = $7 200

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Determine the number of terms, n, given the geometric series 1 3 9 27 ... and sn=3280.
lina2011 [118]

The number of terms, 'n' is 8

<h3 /><h3>How to determine the number of terms</h3>

Let's determine the common ratio;

common ratio, r = 3/1 = 3

The formula for sum of geometric series with 'r' greater than 1 is given as;  Sn = a( r^n - 1) / (r - 1)

n is unknown

Sn = 3280

Substitute the value

3280 = 1 ( 3^n - 1) / 3- 1

3280 = 3^n -1 /2

Cross multiply

3280 × 2 = 3^n - 1

6560 + 1 = 3^n

6561 = 3^n

This could be represented as;

3^8 = 3^n

like coefficient cancels out

n = 8

Thus, the number of terms, 'n' is 8

Learn more about geometric series here:

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1 year ago
Show any shape that has symmetry
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3 years ago
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Whats the answer and equation to Two more than four times a number is -10
Artist 52 [7]

2+4a=-10

First, subtract 2 from both sides.

4a=-12

Then divide 4 from both sides.

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hope it helps!

3 0
3 years ago
Can someone help me its urgent:( ??
wariber [46]

Answer:

see the procedure

Step-by-step explanation:

Identify

Let

x ---> the cost of the Xbox one at Walmart

Strategy

we know that

The cost of the Xbox one at Walmart multiplied by 2 plus $50 must be equal to $450

Set up

The algebraic expression that represent this situation is

450=2x+50

Solve

solve for x

450=2x+50

2x=450-50\\2x=400\\x=\$200

Check

substitute the value of x in the equation

450=2(200)+50

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Answer:

Step-by-step explanation:

100-10  :  100

90    : 100

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