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2 answers:
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Answer: C. (-1, 2)
<u>Step-by-step-explanation:</u>
The center is the midpoint of the endpoints
→ ,
→ ,
→ ,
→ (-1 , 2)
The midpoint is (-1, 2)
Given:
Principal = $1400
Simple rate of interest = 1.25%
Time = 6 month
To find:
The balance of the account after simple interest.
Solution:
The formula for simple interest is
Where, P is principal, r is the rate of interest in % and t is time in years.
Time = 6 months
= year
= 0.5 year
Putting 1400, r=1.25, t=0.5 years.
Now, the amount is
Therefore, the balance of the account after the simple interest is $1408.75.
Answer:
The area can be written as
And the value of it is approximately 1.8117
Step-by-step explanation:
x = u/v
y = uv
Lets analyze the lines bordering R replacing x and y by their respective expressions with u and v.
- x*y = u/v * uv = u², therefore, x*y = 1 when u² = 1. Also x*y = 9 if and only if u² = 9
- x=y only if u/v = uv, And that only holds if u = 0 or 1/v = v, and 1/v = v if and only if v² = 1. Similarly y = 4x if and only if 4u/v = uv if and only if v² = 4
Therefore, u² should range between 1 and 9 and v² ranges between 1 and 4. This means that u is between 1 and 3 and v is between 1 and 2 (we are not taking negative values).
Lets compute the partial derivates of x and y over u and v
Therefore, the Jacobian matrix is
and its determinant is u/v - uv * ln(v) = u * (1/v - v ln(v))
In order to compute the integral, we can find primitives for u and (1/v-v ln(v)) (which can be separated in 1/v and -vln(v) ). For u it is u²/2. For 1/v it is ln(v), and for -vln(v) , we can solve it by using integration by parts:
Therefore,
Answer
Find out the how long is woman shadow .
To prove
Let us assume that the height = x
Let us assume that the shadow = y
(As shadow increase with the increase in the height.)
x = ky
Where k is constant of proportionality.
As given
A 10 ft tall statue standing next to a woman casts an 18 ft shadow.
10 = k × 18
As given
If the woman is 5 ft tall .
Let us assume that the shadow of woman be s .
Put in the proprtionality equation .
5 = k × s
Compare the value of k .
s = 9 ft
Therefore the shadow of the woman be 9 ft .
Option (C) is correct .