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timurjin [86]
3 years ago
11

Juan was gifted a piggy bank for his birthday. He saves up $15 from his allowance in April, $23 in May, $31 in June and so on. H

ow much will Juan’s piggy bank contain at the end of 12 months?
Mathematics
2 answers:
allsm [11]3 years ago
4 0

Answer:

$819

Step-by-step explanation:

Well, how you would do this is that Juan gets 8+ the money he gets each month. So for June he would get $39, and July he would get $47, August he would get $55, September he would get 63$, October he would get $71, November he would get $79, December he would get $87, January he would get $95, February he would get $103, and March he would get $111. So, add all those up and you get $819.

Hope this helps!

Dvinal [7]3 years ago
3 0

He would have a total of $79 at the end of month 12. But, when you add the 15,23,31,etc.... it would be $423.

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It takes William 45 minutes to weed the garden. It takes his younger sister May 75 minutes to do the same job. If they work toge
marshall27 [118]

Answer:

B. 28 minutes

Step-by-step explanation:

According to the given statement,

William weeds the whole garden in 45 minutes, then in one minute he will weed 1/45 of the garden

and

similarly, 1/75 of the garden in one minute.

When they both will work together, they will weed (1/45+1/75) of the garden in one minute

Solving the equation:

= \frac{1}{45}+ \frac{1}{75}\\= \frac{75+45}{3375}\\ =\frac{120}{3375}\\ = 0.036

Garden weeded in one minute by both = 0.036

So, number of minutes to weed whole garden = 1/0.036

= 27.77 minutes

Rounding off will give us: 28 minutes

So,

Option B is the correct answer ..

4 0
4 years ago
enelope determined the solutions of the quadratic function by completing the square. f(x) = 4x2 + 8x + 1 –1 = 4x2 + 8x –1 = 4(x2
Marat540 [252]
The correct question is
<span>Penelope determined the solutions of the quadratic function by completing the square.
f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?

we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
 4x² + 8x + 1=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

 (4x² + 8x)=-1

Factor the leading coefficient 

 4*(x² + 2x)=-1

Complete the square Remember to balance the equation by adding the same constants to each side.

 4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)

Rewrite as perfect squares

4*(x+1)²=3

(x+1)²=3/4--------> (+/-)[x+1]=√3/2

(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2

(-)[x+1]=√3/2----> x2=(-2-√3)/2

therefore

the answer is

<span>Penelope should have added 4 to both sides instead of adding 1.</span>
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