3/4 is 75%
for this think of them as quarters 4 quarters is 100 %, 2 quarters is 50% so 3 quarters would be 75%
or you could just do 3 divided by 4 then times that by 100
Answer:
x=4
Step-by-step explanation:
The value of this account in 10 years is given by the formula:
FV = P*(1+r)^t
where FV is the future value in the account after 10 years(to be calculated)
P is the principal invested at the beginning
r is the interest rate and
t is the time horizon in years
Given, Invested Amount (P) = 20,000
Interest rate (r) = 5.5% = 0.055
Time horizon (t) = 10 years = 10
Substituting the formula, FV = 20,000*(1+0.055)^10 = 20,000*1.055^10 = 20,000*1.708144458 = 34,162.89
The value of this account after 10 years =$34,162.89 (Rounded to the nearest cent)
Given:
x and y are both differentiable functions of t.
To find:
The value of 
.
Solution:
We have,
...(i)
At x=-1,
Divide both sides by 3.
Taking cube root on both sides.
So, y=2 at x=-1.
Differentiate (i) with respect to t.
Putting x=-1, y=2 and 
, we get
Divide both sides by -8.
Therefore, the value of is 36.
The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
<h3>Calculating area </h3>
From the question, we are to determine the area of the shaded region
The area of the shaded region = Area of the semicircle - Area of the triangle
First, we will determine the diameter, d, of the semicircle
d² = 3² + 4² (<em>Pythagorean theorem</em>)
d² = 9 + 16
d² = 25
d = √25
d = 5
∴ Diameter of the semicircle is 5
Thus,
Radius, r = 5/2 = 2.5
Now,
Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)
Area of the shaded region = 1/2(π×6.25) - 1/2(12)
Area of the shaded region = 3.125π - 6
Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
Learn more on Calculating area here: brainly.com/question/14989383
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