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ivanzaharov [21]
3 years ago
11

Caroline won $205000 in a lottery. After paying $96000 in taxes, she placed the remaining amount in a savings account at a 2% in

terest rate. How much interest will the account earn after just 6 months?
Mathematics
1 answer:
natka813 [3]3 years ago
6 0

Answer: $1090

Step-by-step explanation:

Since Caroline won $205000 in a lottery and then paid $96000 in taxes, the remaining amount will be:

= $205000 - $96000

= $109000

The interest that the account will earn after just 6 months will be:

Interest = PRT

= 109000 × 2% × 6/12

= 109000 × 0.02 × 0.5

= $1090

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Answer:

t = - 1/3

Step-by-step explanation:

3t - t - 6 = t - 7

3t - t + t = 6 - 7

3t = - 1

t = - 1/3

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3 years ago
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A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the firmed in a diagonal li
Lynna [10]

Answer:

The player ran approximately 119119119 meters

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the diagonal line.

The equation for the Pythagorean Theorem is

a^2 + b^2 = c^2a  

2

+b  

2

=c  

2

a, squared, plus, b, squared, equals, c, squared

where aaa and bbb are the lengths of the two legs of the triangle, and ccc is the length of the hypotenuse.

In this case a=64,b=100,a=64,b=100,a, equals, 64, comma, b, equals, 100, comma and c=xc=xc, equals, x.

Hint #33 / 4

\begin{aligned} 64^2+100^2 & =x^2\\ 4096+10000 & = x^2\\ 14096 & = x^2\\ \sqrt{14096} & = x\\ 118.726 & \approx x \end{aligned}  

64  

2

+100  

2

 

4096+10000

14096

14096

​  

 

118.726

​  

 

=x  

2

 

=x  

2

 

=x  

2

 

=x

≈x

​

The player ran approximately 119119119 meters.

5 0
3 years ago
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If PQRS is a parallelogram with two adjacent congruent sides, then ___________________.
deff fn [24]
:If PQRS is a parallelogram with two adjacent congruent sides, then the quadrilateral yielded becomes a rhombus:
 
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b=8
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Answer:

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Step-by-step explanation:

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