Answer:
$210
Step-by-step explanation:
Formula:
P = A (1 + r% x t)
P: Answer
A: Original value
R%: Percentage increase
T: Time
P = 200 (1 + 5% x 1)
P = $210
Answer: a coordinate grid
Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
Answer:
1.2 meters.
Step-by-step explanation:
Length of pen = 2x meters
width of pen = x meters
shape of pen is rectangular
we know that area of rectangle is given by length * width
Thus, area of the pen is x*2x = 
It is also given that area of pen is 2.8 square meters.
Equating numerical value of area with area in terms of x, we have

Thus value of x is 1.2 meters.
The value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81
<h3>How to expand the expression?</h3>
The expression is given as:
(2x -3)^4
Using the binomial expansion, we have:

Evaluate the combination factors.
So, we have:

Evaluate the exponents and the products

Hence, the value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81
Read more about binomial expansions at:
brainly.com/question/13602562
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