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3 years ago

6

Kathryn’s total assets are $57,219. Her total liabilities are $43,244. What is her net worth? A. $14,198 B. $1397 C. $13,975 D.

$100,463

1 answer:

zepelin [54]3 years ago

3 0

If your going to add then it would be
57,219 + 43,244 = 100,463 D.

I your going to subtract then it would be
57,219 - 43,244 = 13,975 C.

ello

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Problem 3.2.14a<br><br> Show that 2^2x+1 +1 is divisible by 3.

elena-s [515]

Answer:

The given expression is divisible by 3 for all natural values of x.

Step-by-step explanation:

The given expression is

$2^{2x+1}+1$

For x=1,

$2^{2(1)+1}+1=2^{3}+18+1=9$

9 is divisible by 3. So, the given statement is true for x=1.

Assumed that the given statement is true for n=k.

$2^{2k+1}+1$

This expression is divisible by 3. So,

$2^{2k+1}+1=3n$ .... (1)

For x=k+1

$2^{2(k+1)+1}+1$

$2^{2k+2+1}+1$

$2^{(2k+1)+2}+1$

$2^{2k+1}2^2+1$

Using equation (1), we get

$(3n-1)2^2+1$

$(3n)2^2-2^2+1$

$(3n)2^2-4+1$

$(3n)4-3$

$3(4n-1)$

This expression is also divisible by 3.

Therefore the given expression is divisible by 3 for all natural values of x.

4 0

3 years ago

A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit? Use 3.14 for pi.

Sholpan [36]

A=pi(r)^2

We have the diameter. To get the radius divide it by 2.

The radius now is equal = 13.
Pi=3.14

Distribute it to the equation... A=3.14(13)^2

The area is equal = 530.66

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3 years ago

What is an equation of the line that passes through the point (1, -2) and is parallel

Oliga [24]

Answer:

y = -6x + 4

Step-by-step explanation:

2 parallel lines should have equal slope

Rewrite 6x + y = 92

It is now y = -6x + 92. Slope is -6

So the new equation should also have -6 as the slope.

y = -6x + b

Substitute (1,-2) into this equation

-2 = -6(1) + b

-2 = -6 + b

4 = b

So equation is y = -6x + 4

6 0

3 years ago

Please help! .........

stira [4]

Answer:

1) When x is 1, y is 4, and vice versa

2) When x is -6, y is 42, and when x is 7, y is 114

3) When x is -2, y is 2, and when x is 8, y is 42

Step-by-step explanation:

1)

$y=x^2-6x+9$

$y+x=5$ which can be rearranged as $y=5-x$ .

Substituting this lone y into the first equation, you get:

$5-x=x^2-6x+9$

Move everything to one side:

$x^2-5x+4=0$

Factor:

$(x-4)(x-1)=0$

$x=1, 4$

$y=4, 1$

2)

$y-30=12x$ which can be rearranged as $y=12x+30$ .

$y=x^2+11x-12$

Let's use elimination this time and subtract the first equation from the second:

$0=x^2-x-42$

Factor:

$(x-7)(x+6)=0$

$x=-6, 7$

$y= -42, 114$

3)

$y=x^2-2x+6$

$y=4x+10$

Let's set the two equations equal to each other through substitution:

$x^2-2x-6=4x+10$

Move everything to one side:

$x^2-6x-16=0$

Factor:

$(x-8)(x+2)=0$

$x=-2, 8$

$y= 2, 42$

Hope this helps!

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3 years ago

Hanna picks up strawberries. she can either choose getting 74$ per hour or 3 $ per basket. she says she can pick up 10 basket in

FinnZ [79.3K]

Answer:

21.62% more

Step-by-step explanation:

20 mins * 3 = 60 mins (1 hour)

10 baskets * 3 = 30 baskets

3$ * 30 baskets = 90$

90$ - 74$ = 16$

74 / 100 - 0.74

90 / 0.74 = 121.62

So she makes 21.62% more with 3$ per basket.

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3 years ago