P = $1,100
r = 7.25% = 0.0725
A= P(1+r)^t
⇒ 6600 = 1100(1+0.0725)^t
⇒ 6600/1100 = 1.0725^t
⇒ 1.0725^t = 6
Use log to solve it
log(1.0725^t) = log 6
⇒ t * log 1.0725 = log 6
⇒ t * 0.0303973 = 0.7781512
⇒ t = 0.7781512/0.0303973
⇒ t = 25.599 ≈ 25.60 years
Answer:
Step-by-step explanation:
The slope-intercept form of the equation of a line:
m - slope
b - y-intercept → (0, b)
The point-slope form of the equation of a line:
m - slope
(x₁, y₁) - point
We have the equation of a line:
and the point (0, 2) → b = 2.
Substitute:
Answer: 
Step-by-step explanation:
1. To write the number given in the problem (4,498,000,000) in scientific notation you must write it in the following form:
2. The decimal point must be written after the first digit and the exponent b must be positive and indicates the number of times the decimal point is move to the right. Therefore, you have:
My first guess is 100. If that fails, my second guess is 20.
Answer:
x = √40 = 2√10
Explanation:
The given triangle is an isosceles triangle. This means that the angle bisector is perpendicular to the base and bisects it, which means that we now have two identical right-angled triangles.
Let's consider the triangle on the right:
We have one of its sides = 6 units, the other one = 4/2 = 2 units and the hypotenuse = x units
We will use the Pythagorean theorem to get the length of the hypotenuse as follows:
(Hypotenuse)² = (side1)² + (side2)²
x² = (6)² + (2)²
x² = 36 + 4
x² = 40
either x = -√40 = -2√10 ........> rejected as length cannot be negative
or x = +√40 = 2√10 .........> accepted value
Based on the above:
x = 2√10 units
Hope this helps :)
