Answer:
Brian will have £817.8
Step-by-step explanation:
Principal = £4700
interest = 5.5% = 0.055
n = 3 years
Amount = [(Principal * (1 + interest)ⁿ) - Principal]
Amount = [(4,700 * (1 + 0.055)³) - 4,700]
Amount = [(4,700 * (1.055)³) - 4,700]
Amount = [(4,700 * 1.174) - 4,700]
Amount = [5,517.8 - 4,700]
Amount = £817.8
Considering an inverse proportional relationship, you find k taking a point (x,y), and multiplying the values of x and y.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For an inverse relationship, the function is:
.
Then:
k = xy.
Which means that to find k, you take a point (x,y), and multiply the values of x and y.
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:The domain is the set of all first elements of ordered pairs (x-coordinates).
Step-by-step explanation:
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:
O B. f(x) = 2^x
i think its true but iam not sure
hope it helps