Answer:
384 square meters.
Step-by-step explanation:
Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:
A x 6 = X
64 x 6 = X
384 = X
Thus, the area of the cube is 384 square meters.
Answer:
It will take 14.3 years
Step-by-step explanation:
Let the consumption of electricity presently be X kw/h
In the next three years, we would be expecting an increase to 3x kw/h
Since we do not know the number of years it will take, let us represent this by t years.
We can represent the consumption in the next three years by the equation;
x × (1 + 8%)^t = 3x
(1+0.08)^t = 3
(1.08)^t = 3
We can use natural logarithms to get what t is
take the natural logarithm of both sides
ln(1.08)^t = ln3
tln1.08 = ln3
t = ln3/ln1.08 = 1.0986/0.077
t = 14.3 years
Answer:
16
Step-by-step explanation:
All we have to do is write this in vertex form of a quadratic. It is now in factored form. To get it into vertex form we must complete various steps. Here you can skip it using desmos graphing calculator:
Answer:
x = −3 and x = −2
Step-by-step explanation:
x^2 + 5x = −6
Add 6 to each side
x^2 + 5x+6 = −6+6
x^2 +5x+6 =0
Factor
What 2 number multiply to 6 and add to 5
3*2 =6
3+2 =5
(x+3)(x+2) =0
Using the zero product property
x+3 =0 x+2 =0
x+3-3=0-3 x+2-2=0-2
x=-3 x=-2
John's gross monthly salary is $2000.
John receives a 15% raise in his salary.
So first we have to find 15% of $2000.
15% of 2000 =
=
=
=
John's salary including the raise = $ = $2300.
Now 30% of his monthly paycheck withheld for taxes.
30% of 2300 =
=
=
=
So the amount of tax deducted = $690.
John's net monthly income = $ = $1610.
So we have got the required answer.