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Mashutka [201]
2 years ago
15

A city has a population of 350,000 people, suppose that each year the population grows by 5%. What will the population be

Mathematics
1 answer:
Hoochie [10]2 years ago
6 0

Answer:

595,000

Step-by-step explanation:

find 5% of the present population

5/100*350,000 =17,500

there fore the population increases by 17,500 yearly

in 14 yrs time

=(14*17500) + 350,000

=245000+350000

=595000

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Two lines that intersect at 90 degrees are considered perpendicular to each other.

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W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?
juin [17]

\large{ \tt{❃ \: EXPLANATION}} :

  • You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

  • We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

\large{ \tt{❁ \: LET'S \: START }: }

  • Set up an equation & solve for p :

\large{ \bf{☄ \: p  - 30 =  \frac{1}{2}  p }}

\large{ \tt{↦ \frac{1}{2} p = p - 30}}

\large{ \tt{↦ \frac{1}{2} p - p =  - 30}}

\large{ \tt{↦ \frac{p - 2p}{2} =  - 30 }}

\large{ \tt{↦p - 2p =  - 60}}

\large{ \tt{ ↦ \: - p =  - 60}}

\large{ \tt{↦p = 60}}

  • The value of p is 60

\large{ \tt{❇ \: REPLACING \: VALUE}} :

\large{ \tt{↬ \: wz = p - 30 =  60 - 30 =   \boxed{\boxed{ \tt{30 }} }✔}}

  • Hence , WZ = 30 .

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3 years ago
in may , the new York public library had 124,061 books checked out .of those books 31,117 were mystery books
Hitman42 [59]
92,944 were not mystery books
6 0
3 years ago
Pat’s Potato Farm grew 490 pounds of potatoes. Pat delivered 3/7 of the potatoes to a vegetable stand. The owner of the vegetabl
madam [21]

Answer:

14

Step-by-step explanation:

I first multiplied 490 by 3/7

giving me 1470/7

I divide 1470 by 7 giving me 210

As I got 210

I multiplied 210 with 2 and got 410/3

I divided 410 by 3, getting 140.

It then said half of what was delivered was put into 5 pound bags, so

140× 1/2 or 140÷2 is 70

70 divided by 5 is 14

They made 14 5-pound bags.

3 0
3 years ago
Need help fast due today thanks
cricket20 [7]

1

Move everything to the left by subtracting 25 from both sides:

81x^2-25=0

Both terms are squares: 81x^2 is the square of 9x, while 25 is the square of 5. So, we can apply the factoring

a^2-b^2=(a+b)(a-b)

To factor the expression as

(9x+5)(9x-5)=0

A multiplication is zero if and only if one of the factors is zero, so we have

(9x+5)(9x-5)=0 \iff 9x+5=0 \lor 9x-5=0 \iff x=-\dfrac{5}{9} \lor x=\dfrac{5}{9}

2

The discriminant of the quadratic expression ax^2+bx+c is defined as

\Delta = b^2-4ac

So, you have

\Delta = 0^2-4\cdot(-1)\cdot(-25) = -100

3

Similarly, we have

\Delta = 7^2-4\cdot(-3)\cdot 6 = 49+72=121

8 0
3 years ago
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