If an integer is both a square and a cube, it can be of the form:
<span>(<span>a3</span><span>)^2</span></span>
Now,
since a cube can be of the form 7k or 7k+-1(thanks to FoolForMath),
we write
<span><span>a^3</span>=7k</span>
and get the no to be
49k^2
, which is in the form of 7 times something
<span>49<span>k^2</span>=7×(7<span>k^2</span>)</span>
Now put
<span><span>a^3</span>=7k+−1</span>
Square it
and you'll get a number in the form of (7times something +1)
This is the concept of application of compound interest, to calculate the amount I will have after the 5th deposit we proceed as follows;
A=p(1+r/100)^n
where;
A=future amount
p=principle
r=rate
n=number of years
thus substituting the values in our formula we get:
A=3,100(1+8.5/100)^5
A=3,100(1+0.085)^5
A=3100(1.085)^5
A=4,666.34
The amount of money after 5 years will be $4,666.24
20
If you draw that out on a coordinate grid, you get a trapezoid with one base 6 units long, one base 4 units long and a height of 4. Using the formula for area of a trapezoid
h(b1 + b2)/2
where h is the height, 4, b1 is a base, 6, b2 is the other base, 4, we get
4(4+6)/2
which is 4(10)/2 or 40/2
which gets us the answer, 20
3(5x-3)=3x+39
15x-9=3x+39
12x=48
x=4
Answer:
the integers are -28 and -29
Step-by-step explanation:
Lets do math:
When i was little this was hard but now its pretty easy
look two consecutive numbers are like 1, 2, 3, their difference is usually 1
our equation looks like this:
-57=x+(x-1)
we add 1 to both sides and get:
-56=2x
divide by 2 because im smart
-28=x
thats one number but how 'bout the other one?
we just have to subtract 1 and get -29
the end.
