Answer:
The final amount in the account after 6 years at compound interest is $1568.78 .
Step-by-step explanation:
Given as :
The principal amount in account = p = $1500
The rate of compound interest = r = 0.75 %
The time period of the loan = t = 6 years
Let The Amount in account after 6 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)
I.e 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 = $1500 × ![(1+\dfrac{\textrm 0.75}{100})^{\textrm 6}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7B%5Ctextrm%200.75%7D%7B100%7D%29%5E%7B%5Ctextrm%206%7D)
Or, A = $1500 × ![(1.0075)^{6}](https://tex.z-dn.net/?f=%281.0075%29%5E%7B6%7D)
Or, A = $1500 × 1.04585
Or, A = $1568.775
So, The final amount= A = $1568.78
Hence The final amount in the account after 6 years at compound interest is $1568.78 . Answer
Answer:
3.45 times
Step-by-step explanation:
530.93/153.94 = 3.4489411459
Step-by-step explanation:
The slope of the line passing through two points is given by,
![\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20)
13)
![\frac{(0 - y)}{(0 - 2)} = (\frac{ - 3}{2} )](https://tex.z-dn.net/?f=%20%5Cfrac%7B%280%20-%20y%29%7D%7B%280%20-%202%29%7D%20%20%3D%20%20%28%5Cfrac%7B%20-%203%7D%7B2%7D%20%29)
![\frac{ - y}{ - 2} = \frac{ - 3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%20y%7D%7B%20-%202%7D%20%20%3D%20%20%5Cfrac%7B%20-%203%7D%7B2%7D%20)
![y = - 3](https://tex.z-dn.net/?f=y%20%3D%20%20-%203)
option D
14)
![\frac{ ( - 3 - y)}{(1 + 5)} = \frac{ - 1}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%28%20-%203%20-%20y%29%7D%7B%281%20%2B%205%29%7D%20%20%3D%20%20%5Cfrac%7B%20-%201%7D%7B6%7D%20)
![\frac{ - 3 - y}{6} = \frac{ - 1}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203%20-%20y%7D%7B6%7D%20%20%3D%20%20%5Cfrac%7B%20-%201%7D%7B6%7D%20)
![- 3 - y = - 1](https://tex.z-dn.net/?f=%20-%203%20-%20y%20%3D%20%20-%201)
![- y = - 1 + 3 = 2](https://tex.z-dn.net/?f=%20-%20y%20%3D%20%20-%201%20%2B%203%20%3D%202)
![y = - 2](https://tex.z-dn.net/?f=y%20%3D%20%20-%202)
option C
15)
![\frac{(y - 4)}{( - 5 + 1)} = \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28y%20-%204%29%7D%7B%28%20-%205%20%2B%201%29%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20)
![\frac{y - 4}{ - 4} = \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7By%20-%204%7D%7B%20-%204%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20)
![- y + 4 = 1](https://tex.z-dn.net/?f=%20-%20y%20%2B%204%20%3D%201)
![- y = 1 - 4 = - 3](https://tex.z-dn.net/?f=%20-%20y%20%3D%201%20-%204%20%3D%20%20-%203)
![y = 3](https://tex.z-dn.net/?f=y%20%3D%203)
option B
16)
![\frac{(y + 3)}{( - 4 - 3)} = \frac{ - 3}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28y%20%2B%203%29%7D%7B%28%20-%204%20-%203%29%7D%20%20%3D%20%20%5Cfrac%7B%20-%203%7D%7B7%7D%20)
![- (y + 3) = - 3](https://tex.z-dn.net/?f=%20-%20%28y%20%2B%203%29%20%3D%20%20-%203)
![y = 3 - 3 = 0](https://tex.z-dn.net/?f=y%20%3D%203%20-%203%20%3D%200)
option C
Answer:
1\4
Step-by-step explanation: