Answer:
The total amount received is: $1906650
Step-by-step explanation:
Given
--- initial
--- rate
--- time
Required
Determine the total amount at the end of 29 years
The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms
Where ![n = 29](https://tex.z-dn.net/?f=n%20%3D%2029)
![r = 1 + b](https://tex.z-dn.net/?f=r%20%3D%201%20%2B%20b)
![r = 1 + 1\%](https://tex.z-dn.net/?f=r%20%3D%201%20%2B%201%5C%25)
Express percentage as decimal
![r = 1 + 0.01](https://tex.z-dn.net/?f=r%20%3D%201%20%2B%200.01)
![r = 1.01](https://tex.z-dn.net/?f=r%20%3D%201.01)
The required is the calculated using:
![S_n = \frac{a(r^n - 1)}{r - 1}](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Ba%28r%5En%20-%201%29%7D%7Br%20-%201%7D)
So, we have:
![S_n = \frac{57000 * (1.01^{29} - 1)}{1.01 - 1}](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7B57000%20%2A%20%281.01%5E%7B29%7D%20-%201%29%7D%7B1.01%20-%201%7D)
![S_n = \frac{57000 * (1.3345- 1)}{0.01}](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7B57000%20%2A%20%281.3345-%201%29%7D%7B0.01%7D)
![S_n = \frac{57000 * 0.3345}{0.01}](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7B57000%20%2A%200.3345%7D%7B0.01%7D)
![S_n = \frac{19066.5}{0.01}](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7B19066.5%7D%7B0.01%7D)
![S_n = 1906650](https://tex.z-dn.net/?f=S_n%20%3D%201906650)
<em>The total amount received is: $1906650</em>
Answer:
There is information missing from this question. Cannot be answered in its current form.
Step-by-step explanation:
Hi there
a) the value of the car is 25000
b) v=25,000×1.5^(−0.2×3)=19,601
C) 12500=25000×1.5^(-0.2t)
Solve for t
12500/25000=1.5^(-0.2t)
Log (12500/25000)=-0.2t×log (1.5)
-0.2t=Log(12500/25000)÷log (1.5)
T=(log(12,500÷25,000)÷log(1.5))÷(−0.2)
T=8.55 years
Hope it helps
Answer:
1,888 pencils
Step-by-step explanation: