Answer:
1200,1800,2400,3000
5x = 600x
Step-by-step explanation:
The first four terms would be
1200,1800,2400,3000
As we can see that
After 10 weeks of work bob has $1200
After 15 weeks of work, bob has $1,800
So the more the weeks would be, the more the earnings it is
And, the difference of the earnings is
= $1,800 -$1,200
= $600
The equation would be
5x = 600x
So if we assume x = 1
So
5 = 600
if we assume x = 2
So
10 = 1200
and so on
Answer:
x=8
Step-by-step explanation:
This isosceles triangle is composed of two right triangles with sides 8,
, and y
As we have two sides of a right triangle, we can find the third using the Pythagorean Theorem

As this is an isosceles triangle, these two right triangles are equal, this means that x=2y
Therefore, x=2(4)=8
Answer:
x = 25.734083

Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)
Tangent Ratio:

Substituting:

Solving for x:

Calculating:

x = 25.734083
Round to 3 decimals:

Answer:
6 11/15
Step-by-step explanation:
.....................
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.