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podryga [215]
3 years ago
15

In the year 2003, a company made $6.8 million in profit. For each consecutive year after that, their profit increased by 13%. Ho

w much would the company's profit be in the year 2006, to the nearest tenth of a million dollars?
Mathematics
1 answer:
LenKa [72]3 years ago
6 0

Answer:

$7.7 million

Step-by-step explanation:

Given: $6.8 million profit made by company.

           13% increase in profit every year.

Now, finding the company´s profit in the year of 2006.

As we know there is 13% increase in profit.

∴ Profit increase= \frac{13}{100} \times 6.8= \$ 0.884

Next adding company´s profit with increase in profit to get profit in the year 2006.

∴ 6.8+0.884= \$ 7.684 ≅ $7.7

The company´s profit in the year 2006 is $7.7 million.

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What is angle m 2 ? What is angle m 1?
mezya [45]

Answer:

Angle measure two is equal to 75º and Angle measure one is equal to 105º

Step-by-step explanation:

I know this because angle one is alternate exterior angle with angle 7 and angle seven forms a staight line with angle 75 so to find angle 7 you have to do 180-75 and that would equal 105.

for angle two it is interior angles with angle 75 so this means that are congruent angles which means they both have the same measure

7 0
3 years ago
Work out the size of angle x
kompoz [17]

Answer:

x = 117 degrees

Step-by-step explanation:

A triangle has 180 degrees in total.

A straight line is also 180 degrees in total.

180 - 101 = 79

Angles inside the triangle

79 + 38 = 117

180 - 117 = 63

63 degrees is the missing angle

x = 180 - 63

x = 117

6 0
3 years ago
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Which structures secrete chemicals utilized for the completion of digestion within the small intestine?
Sever21 [200]

Answer:

In the small intestine more digestive enzymes act on the food. Pancreatic juice, from the pancreas, and bile, produced in the liver and stored in the gall bladder, continue to break down various parts of the food. They complete the digestion of starches, sugars, and fats. I hope tis helps

Step-by-step explanation:

5 0
3 years ago
PLease help me with this!
astraxan [27]

Answer:

1. x2 - 9 > 0

x^2-3^2>0

(x+3)(x-3)>0

(x+3)>0 and (x-3)>0

x>-3       and  x>3

2. x2 - 8x + 12 > 0

   x^2 - 8x  +12>0

   x^2 -2x -6x +12 >0   (-8x is replaced by (-2x) + (-6x) )

   x(x-2) -6(x-2) >0

    (x-6)(x-2)>0

(x-6)>0    and (x-2)>0

    x>6     and     x>2

3. -x2 - 12x - 32 > 0

    -x^2 -12x -32 >0

     x^2 +12x +32 <0

      x^2 +4x +8x +32<0

      x(x+4) +8(x+4)<0

      (x+8)(x+4)<0

(x+8)<0   and  (x+4)<0

x<-8      and    x<-4

4. x2 + 3x - 20 >= 3x + 5

   x^2 +3x -20 >= 3x +5

   x^2 +3x -20 -3x >= 3x +5 -3x

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     x^2 -20 +20  >= 5  +20

     x^2 >=25

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6 0
2 years ago
Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution. At Meadowbrook Hospital, the mean we
Marina86 [1]

Answer:

Required Probability = 0.1283 .

Step-by-step explanation:

We are given that at Meadow brook Hospital, the mean weight of babies born to full-term pregnancies is 7 lbs with a standard deviation of 14 oz.

Firstly, standard deviation in lbs = 14 ÷ 16 = 0.875 lbs.

Also, Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution.

Let X = mean weight of the babies, so X ~ N(\mu = 7 lbs , \sigma^{2}  = 0.875^{2}  lbs)

The standard normal z distribution is given by;

              Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, X bar = sample mean weight

             n = sample size = 4

Now, probability that the average weight of the four babies will be more than 7.5 lbs = P(X bar > 7.5 lbs)

P(X bar > 7.5) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{7.5-7}{\frac{0.875}{\sqrt{4} } }  ) = P(Z > 1.1428) = 0.1283 (using z% table)

Therefore, the probability that the average weight of the four babies will be more than 7.5 lbs is 0.1283 .

8 0
3 years ago
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