The value of x in the triangle is 9.3
<h3>How to find the side x of a triangle?</h3>
The side x of a triangle can be found as follows:
The triangle ABC is similar to triangle ADE.
Therefore, corresponding sides of similar triangles are in the same ratios.
Hence,
7 / 13 = x / x + 8
cross multiply
7(x + 8) = 13x
7x + 56 = 13x
subtract 7x from both sides of the equation
7x - 7x + 56 = 13x - 7x
56 = 6x
divide both sides by 6
x = 56 / 6
x = 9.33333333333
x = 9.3
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Step-by-step explanation:
Answer:
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The function is f(x) = 86(1.01)^7x; grows approximately at a rate of 1% daily
<h3>How to rewrite the function?</h3>
The function is given as:
f(x) = 86(1.08)^x
There are 7 days in a week.
This means that:
1 day = 1/7 week
So, x days is
x day = x/7 week
Substitute x/7 for x in
f(x) = 86(1.08)^(x/7)
Rewrite as:
f(x) = 86(1.08^1/7)^x
Evaluate
f(x) = 86(1.01)^x
In the above, we have:
r = 1.01 - 1
Evaluate
r = 0.01
Express as percentage
r = 1%
Hence, the function is f(x) = 86(1.01)^7x; grows approximately at a rate of 1% daily
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