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STatiana [176]
2 years ago
12

Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeee helpepppp meeeeeeeeeeeeeeeeeeeeeeee

Mathematics
1 answer:
Likurg_2 [28]2 years ago
4 0
Answer : Option D





Step by step explanation :
There is a 50-50 chance of snowing in Hawaii.
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Paul has a stock portfolio worth $21,000. His home is valued at $365,000. His car is valued at $19,000. He owes $362,000 on his
kompoz [17]

Answer:

Paul has negative worth of $2,900

His statement is invalid as he did not consider all assets and debts in aggregate.

Step-by-step explanation:

The net worth of Paul is the total asset owned by him less the total of debts owed by him.

Paul's total assets can computed thus:

Stock portfolio                 $21,000

Home worth                     $365,000

Car worth                          $19,000

Total assets                       $405,000

Paul's total debts can be computed as follows:

Mortgage loan                     $362,000

Car loan                                $16,250

credit card debt                     $11,750

Student loan                          $17,900

Total debts                             $407,900

The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.

6 0
3 years ago
The sum of three prime numbers (other than two) is always odd.
grandymaker [24]

Step-by-step explanation:

The statement in the above question is True.

Sum of three prime numbers (other than  two)  is always odd.

Going by Christian Goldbach number theory ,

  • Goldbach stated that every odd whole number greater than 5 can be written as sum of three prime numbers .  

 Lets take an example,

  • 3 + 3 + 5 = 11
  • 3 + 5 + 5 = 13
  • 5 + 5 + 7 = 17

Later on in 2013  the Mathematician <u>Harald Helfgott</u> proved this theory true for all odd numbers greater than five.

6 0
3 years ago
Roxanne graphed this system of equations to find the solution.
Mice21 [21]

Answer:

Option C is correct.

She is not correct as she use the wrong y intercepts when graphing the equations.

Step-by-step explanation:

Given the system of equations:

y = \frac{2}{3}x-5         .....[1]

y = -2x+3         .           .....[2]

equate these two equations we get;

\frac{2}{3}x-5=-2x+3

Add 5 to both sides we get;

\frac{2}{3}x = -2x+8

Add 2x to both sides we have;

\frac{8}{3}x = 8

Multiply both sides by 3 we get;

8x = 24

Divide both sides by 8 we get;

x = 3

Substitute the value of x in [2] we have;

y = -2(3)+3 = -6+3

Simplify:

y = -3

Therefore, the correct solution for this given system of equation is (3, -3)

You can see the graph of these equations below.

5 0
3 years ago
Read 2 more answers
Marty has a driveway that is 200 feet long. The tires on her car have a diameter of 18 inches. What is the fewest number of tire
Olin [163]

Answer:

Step-by-step explanation:

The diameter of a tire is the distance across the tire through the center. Since tires are circular, you can find the circumference of the tire from the diameter. The circumference represents the distance the tire travels when it makes one revolution. If you know the number of inches in a mile and the circumference, you can find the number of times the wheel turns per mile.

First, measure the diameter of the tire in inches.

Secondly, multiply the diameter by pi, which is approximately 3.1416, to find the tire circumference. For example, if the tire has a 20 inch diameter, multiply 20 by 3.1416 to get 62.83 inches.

3 0
2 years ago
Read 2 more answers
In 195019501950, the per capita gross domestic product (GDP) of Australia was approximately \$1800$1800dollar sign, 1800. Each y
mezya [45]

Answer:

The function of capita GDP is given by

G(t)= 1800(1+0.067)^t

where G(t) is in dollar and t is years after 1950.

Step-by-step explanation:

Given that,

in 1950, the per capita GDP of Australia was $1800.

The capita GDP is increased by 6.7 % per year.

In 1951, the capita GDP was increased =6.7% of $1800

The capita GDP was= $1800+ 6.7% of $1800

                                 =$1800(1+6.7%)

In 1952, the capita GDP was increased =$1800(1+6.7%)

The capita GDP was=$1800(1+6.7%)+ 6.7% of$1800(1+6.7%)

                                 =$1800(1+6.7%)(1+6.7)

                                 = $1800(1+6.7%)²

                                 =$1800(1+0.067)²

In 1952, the capita GDP was increased =$1800(1+6.7%)²

The capita GDP was=$1800(1+6.7%)²+ 6.7% of$1800(1+6.7%)²

                                 =$1800(1+6.7%)²(1+6.7)

                                 = $1800(1+6.7%)³

                                  =$1800(1+0.067)³

and so on.

The function of capita GDP is given by

G(t)= 1800(1+0.067)^t

where G(t) is in dollar and t is years after 1950.

6 0
3 years ago
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