Answer:
1. 6n
2. 6×30=180
Step-by-step explanation:
180 is the 30th term
Answer:
The interest rate was of 5.5% a year.
Step-by-step explanation:
The compound interest formula is given by:
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.
In this question, we have that:
![A = 109076.45, P = 98000, n = 1, t = 2](https://tex.z-dn.net/?f=A%20%3D%20109076.45%2C%20P%20%3D%2098000%2C%20n%20%3D%201%2C%20t%20%3D%202)
We have to find r.
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![109076.45 = 98000(1 + r)^{2}](https://tex.z-dn.net/?f=109076.45%20%3D%2098000%281%20%2B%20r%29%5E%7B2%7D)
![(1+r)^{2} = \frac{109076.45}{98000}](https://tex.z-dn.net/?f=%281%2Br%29%5E%7B2%7D%20%3D%20%5Cfrac%7B109076.45%7D%7B98000%7D)
![(1+r)^{2} = 1.113025](https://tex.z-dn.net/?f=%281%2Br%29%5E%7B2%7D%20%3D%201.113025)
Taking the square root from both sides to isolate r.
![\sqrt{(1+r)^{2}} = \sqrt{1.113025}](https://tex.z-dn.net/?f=%5Csqrt%7B%281%2Br%29%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B1.113025%7D)
![1 + r = 1.055](https://tex.z-dn.net/?f=1%20%2B%20r%20%3D%201.055)
![r = 1.055 - 1](https://tex.z-dn.net/?f=r%20%3D%201.055%20-%201)
![r = 0.055](https://tex.z-dn.net/?f=r%20%3D%200.055)
The interest rate was of 5.5% a year.
Answer and Step-by-step explanation:
First work out the area of the semi circle so, To do this we find the area a circle and half it.
<em><u>We know that:</u></em>
→ The radius of the semi circle is 4.
→ To find the area of a circle is it radius² x π
→ Therefore the area of the semi circle is 4 ² x π
→ Then divide this by 2.
→ Then you should get 16 π which equals 50.26548246 cm ².
Now, to find the area of the triangle:
→ The area of a triangle is base x height divided by 2.
→ Therefore you should get 9 x 8 divided by 2 which you should get to 36 cm ².
→ Then add the two together to get:
86. 26548246.
→ Then round to the newest hundredth to get to the final answer of : <u>86.27cm².</u>