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loris [4]
3 years ago
14

john invested $12000 in a business on january 1 amd an adutional $2400 on april 1 . he withdraws $1440 in june 1 and invested $2

880 on october 1 . what was john's average monthly investment balance of the year?​
Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0

Answer:

$1320

Step-by-step explanation:

Here we are given that from January to December , he made some investments and a withdrawal.

Investments : $12000 + $2400 + $2880

                    = $17280

Withdrawal  = $1440

Total Balance in the investment fund at the year end = $17280-$1440

                                                                                        = $15840

Total Number of Month in a year = 12

Average Monthly income =

\frac{15840}{12}

=1320

Hence his average monthly investment is $1320

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Volgvan

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The conversion factor is . . . . .  1 gallon = 231 cubic inches

Multiply each side by 22:  22 gallons = 22 x (231 cubic inches)

22 x 231 = 5,082

22 gallons = 5,082 cubic inches

If you empty a full 22-gallon tank out through that flow meter, the meter  will register 5,082 cubic inches when the tank is empty.


6 0
3 years ago
This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 1.75 inches. How many square inches of plastic w
Dmitry [639]

Answer:

To make the cup 64.57 square inches of plastic were used.

Step-by-step explanation:

A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:

area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches

area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches

surface area of the cup = area of the base + area of the walls = 9.616 + 54.95

surface area of the cup = 64.57 square inches

To make the cup 64.57 square inches of plastic were used.

3 0
3 years ago
Y equals x minus V Over b
MAXImum [283]
Y=x-v\b
if that's all your information then that's the answer
8 0
3 years ago
A right Triangle XYZ has Vertices X(−2, −1) and Y(1, 1) and a right angle at Vertex Z.
Bingel [31]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Avoiding an accident while driving can depend on reaction time. Suppose that reaction time, measured from the time the driver fi
Nadya [2.5K]

Answer:

2.5% of drivers have a reaction time more than 2.14 seconds

16% of drivers have a reaction time less than 1.78 seconds

84% of drivers have a reaction time less than 2.02 seconds

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

In this problem, we have that:

Mean = 1.9s

Standard deviation = 0.12

What percentage of drivers have a reaction time more than 2.14 seconds?

2.14 = 1.9 + 2*0.12

So 2.14 is two standard deviations above the mean.

Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, so, below 2.14. The other 5% is above.

0.05*0.5 = 0.025

2.5% of drivers have a reaction time more than 2.14 seconds

What percentage of drivers have a reaction time less than 1.78 seconds?

1.78 = 1.9 - 0.12

So 1.78 is one standard deviation below the mean.

Of the 50% of the measures that are below the mean, 68% are within one standard deviation of the mean, that is, greater than 1.78.

100 - 68 = 32

0.32*50 = 0.16

16% of drivers have a reaction time less than 1.78 seconds

What percentage of drivers have a reaction time less than 2.02 seconds?

2.02 = 1.9 + 0.12

So 2.02 is one standard deviation above the mean.

Of the measures that are below the mean, all are below 2.02.

Of those that are above, 68% are below 2.02.

0.5 + 0.68*0.5 = 0.84

84% of drivers have a reaction time less than 2.02 seconds

5 0
3 years ago
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