Answer:
The rate of interest for compounded daily is 2.1 6
Step-by-step explanation:
Given as :
The principal investment = $ 98,000
The Time period for investment = 7 years
Let The rate of interest compounded daily = R %
The Amount at the end up = $ 114,000
<u>From compounded method</u>
Amount = Principal × ![(1+\dfrac{rate}{365\times 100})^{365\times Time}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7Brate%7D%7B365%5Ctimes%20100%7D%29%5E%7B365%5Ctimes%20Time%7D)
Or, $ 114,000 = $ 98,000 × ![(1+\dfrac{R}{365\times 100})^{365\times 7}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7BR%7D%7B365%5Ctimes%20100%7D%29%5E%7B365%5Ctimes%207%7D)
Or,
= ![(1+\dfrac{R}{36500})^{2555}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7BR%7D%7B36500%7D%29%5E%7B2555%7D)
or, 1.16326 = ![(1+\dfrac{R}{36500})^{2555}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7BR%7D%7B36500%7D%29%5E%7B2555%7D)
or,
= 1 + ![\frac{R}{36500}](https://tex.z-dn.net/?f=%5Cfrac%7BR%7D%7B36500%7D)
1.00005919 - 1 = ![\frac{R}{36500}](https://tex.z-dn.net/?f=%5Cfrac%7BR%7D%7B36500%7D)
or, 0.00005919 = ![\frac{R}{36500}](https://tex.z-dn.net/?f=%5Cfrac%7BR%7D%7B36500%7D)
∴ R = 0.00005919 × 365000 = 2.16
Hence the rate of interest for compounded daily is 2.1 6 Answer
Answer:
f(g(t)) = 2t² + 1
Step-by-step explanation:
You can solve this simply by substituting g(t) into f(t), and solving for f(g(t)):
![f(t) = 2t + 5\\\\g(t) = t^2 - 2\\\\f(g(t)) = 2(g(t)) + 5\\\\f(g(t)) = 2(t^2 - 2) + 5\\\\f(g(t)) = 2t^2 - 4 + 5\\\\f(g(t)) = 2t^2 + 1](https://tex.z-dn.net/?f=f%28t%29%20%3D%202t%20%2B%205%5C%5C%5C%5Cg%28t%29%20%3D%20t%5E2%20-%202%5C%5C%5C%5Cf%28g%28t%29%29%20%3D%202%28g%28t%29%29%20%2B%205%5C%5C%5C%5Cf%28g%28t%29%29%20%3D%202%28t%5E2%20-%202%29%20%2B%205%5C%5C%5C%5Cf%28g%28t%29%29%20%3D%202t%5E2%20-%204%20%2B%205%5C%5C%5C%5Cf%28g%28t%29%29%20%3D%202t%5E2%20%2B%201)
Answer:
no le entiendo XD jajajjajajaj
Answer:
Noelle has four times as many apples in her grocery bag as her friends
Dakota and Kylie combined. Dakota has 1 apple in her bag. Noelle has 16
apples in her bag. How many apples does Kylie have in her grocery bag?
The equation 4(x + 1) = 16 models this situation. Which choice shows the sequence of operations needed to solve this problem, using both arithmetic and algebra?
Answer:
6/5
Step-by-step explanation:
Parallel lines have same slopes.