Answer:
Twice ; c = 2a ; a = c/2
Step-by-step explanation:
Since the drawing area has been gridded, accurate calculation could easily be performed ;
Rope A occupies 5 boxes
Rope C occupies 10 boxes
Hence,
10 boxes for C / 5 boxes for A
Therefore,
Rope C is Twice the length of Rope A.
If length of Rope A = a ; length of Rope C = c
Then, a multiplication equation for the length of Rope C equals ; c = 2a
Division equation :
a = c/ 2
Answer:
Step-by-step explanation:
Expected growth = 0.15*85 + 0.20 *20 + 0.45*10+0.20 * -20
= 17.25%.
A) The rate for the first 3 years :
15,600 - 7500 = 8100
8100/3 years = 2,700 per year depreciation.
B) The rate between 3 and 8 years:
7500 - 2800 = 4700
4700 / 5 year = 940 per year depreciation.
C) the value of the machine depreciated at a higher rate in the first 3 years. After the first 3 years, the depreciation rate decreased.
Answer:
He must invest R297 521 today.
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 year and t is the time in years for which the money is invested or borrowed.
Banabas must pay his ex-wife an amount of R350 000 in two years’ time.
This means that ![t = 2, A(t) = 350000](https://tex.z-dn.net/?f=t%20%3D%202%2C%20A%28t%29%20%3D%20350000)
Interest rate of 8.15% per annum compounded monthly:
This means that
.
Amount he must invest today:
This is P. So
![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)
![350000= P(1 + \frac{0.0815}{12})^{2*12}](https://tex.z-dn.net/?f=350000%3D%20P%281%20%2B%20%5Cfrac%7B0.0815%7D%7B12%7D%29%5E%7B2%2A12%7D)
![P = \frac{350000}{(1 + \frac{0.0815}{12})^{2*12}}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B350000%7D%7B%281%20%2B%20%5Cfrac%7B0.0815%7D%7B12%7D%29%5E%7B2%2A12%7D%7D)
![P = 297521](https://tex.z-dn.net/?f=P%20%3D%20297521)
He must invest R297 521 today.
The answer is T=n because thats the answer