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otez555 [7]
3 years ago
10

The sum of x and it’s opposite is always zero?

Mathematics
1 answer:
jeka943 years ago
5 0

Answer:

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

a-a =0

Or in the other case:

-a -(-a) =-a +a=0

So then we can conclude that the expression is a general rule and is true

Step-by-step explanation:

For this case we can verify if the following expression is true or false:

The sum of x and it’s opposite is always zero?

If we want to proof this we need to show that for any number is true.

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

a-a =0

Or in the other case:

-a -(-a) =-a +a=0

So then we can conclude that the expression is a general rule and is true

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Suppose you wish to borrow $600 for two weeks and the amount of interest you must pay is $25 per $100 borrowed. What is the APR
Yuliya22 [10]

Answer:

The APR at which the money is borrowed, is approximately 651.79%

Step-by-step explanation:

The amount which one wishes to borrow for two weeks, P = $600

The amount of interest that one must pay back = $25 per $100 borrowed

Therefore;

The total interest on the $600 loan (borrowed) for two weeks = 25/100× $600 = $150

The number of days for which the amount was borrowed = 2 weeks = 14 days

The Annual Percentage Rate, APR is given as follows;

APR = \left (\dfrac{\left (\dfrac{Interest \ Paid \ for \ the  \ Loan \ duration}{The \ amount \ borrowed} \right )}{The \ number \ of \ days \ the \ amount \ was  \ borrowed } \right ) \times 365 \times 100

Therefore, we get

APR = \left (\dfrac{\left (\dfrac{150}{600} \right )}{14 } \right ) \times 365 \times 100  \approx 651.79 \%

The annual rate at which the money is borrowed, APR ≈ 651.79%.

8 0
3 years ago
A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tr
frozen [14]

Answer:

The original height of the tree is 18 m.

Step-by-step explanation:

Please see attached photo for explanation.

From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:

x² = 5² + 12²

x² = 25 + 144

x² = 169

Take the square root of both side

x = √169

x = 13 m

Finally, we shall determine the original height of the tree. This can be obtained as follow.

From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.

Thus, the original height of the will be the sum of 5 and x i.e

Height = 5 + x

x = 13 m

Height = 5 + 13

Height = 18 m

Therefore, the original height of the tree is 18 m.

3 0
2 years ago
A city has a population of 380,000 people. Suppose that each year the population grows by 3.5%, What will the population be afte
Marizza181 [45]
I think it’d be 536,028 at the end of 10 years of growth. I hope this helped.
5 0
2 years ago
What is the volume of this prism ???
pshichka [43]

Answer:

Step-by-step explanation:

6 0
3 years ago
Pls help I need a good grade
maw [93]
Number 2 would be b. 7/12= 0.583 repeating
6 0
3 years ago
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