Answer:
yes the relation between the sides and angles of a right triangles bases off math
The value of f(5) is 49.1
Step-by-step explanation:
To find f(x) from f'(x) use the integration
f(x) = ∫ f'(x)
1. Find The integration of f'(x) with the constant term
2. Substitute x by 1 and f(x) by π to find the constant term
3. Write the differential function f(x) and substitute x by 5 to find f(5)
∵ f'(x) = + 6
- Change the root to fraction power
∵ =
∴ f'(x) = + 6
∴ f(x) = ∫ + 6
- In integration add the power by 1 and divide the coefficient by the
new power and insert x with the constant term
∴ f(x) = + 6x + c
- c is the constant of integration
∵
∴ f(x) = + 6x + c
- To find c substitute x by 1 and f(x) by π
∴ π = + 6(1) + c
∴ π = + 6 + c
∴ π = 6.4 + c
- Subtract 6.4 from both sides
∴ c = - 3.2584
∴ f(x) = + 6x - 3.2584
To find f(5) Substitute x by 5
∵ x = 5
∴ f(5) = + 6(5) - 3.2584
∴ f(5) = 49.1
Answer:
81
Step-by-step explanation:
We need to know the sides of the square so 36÷4=9
Area of a square = Side x side
Area of square = 9x9=81
8/x-7=7/2
16=7(x-7) cross multiply
16=7x-49
-7x=-49-16
-7x=-65 divides each side by -7
-7x/7=-65/7
X=65/7
Alternative form
X=92/7
Which is 1st options in your questions.
Hope this helps!
Answer:
The Amount after 7 years of investment is $2193.6
Step-by-step explanation:
Given as :
The invested principal = p = $1200
The rate of interest = r = 9%
Then time period for investment = t = 7 years
Let The amount after 7 years = $ A
<u>From Compound Interest method</u>
Amount = Principal × ![(1+\dfrac{\textrm rate}{100})^{\textrm time}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7B%5Ctextrm%20rate%7D%7B100%7D%29%5E%7B%5Ctextrm%20time%7D)
Or, A = p × ![(1+\dfrac{\textrm r}{100})^{\textrm t}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7B%5Ctextrm%20r%7D%7B100%7D%29%5E%7B%5Ctextrm%20t%7D)
Or, A = $1200 × ![(1+\dfrac{\textrm 9}{100})^{\textrm 7}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7B%5Ctextrm%209%7D%7B100%7D%29%5E%7B%5Ctextrm%207%7D)
Or, A = $1200 × ![(1.09)^{7}](https://tex.z-dn.net/?f=%281.09%29%5E%7B7%7D)
or, A = $1200 × 1.8280
or , A = $2193.6
So amount after 7 years of investment = A = $2193.6
Hence The Amount after 7 years of investment is $2193.6 Answer