It’s equal to 1
2x divide by 2x = 1
— —
2x divide by 2x 1
which equals to 1
Answer:
5 years and 5 months
Step-by-step explanation:
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<u>Compound Interest Formula</u>
![\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}](https://tex.z-dn.net/?f=%5Clarge%20%5Ctext%7B%24%20%5Csf%20A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%20%24%7D)
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- A = $17,474.00
- P = $7,790.00
- r = 15% = 0.15
- n = 12
- t = number of years
Substitute the given values into the formula and solve for t:
![\implies \sf 17474=7790\left(1+\dfrac{0.15}{12}\right)^{12t}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%2017474%3D7790%5Cleft%281%2B%5Cdfrac%7B0.15%7D%7B12%7D%5Cright%29%5E%7B12t%7D)
![\implies \sf \dfrac{17474}{7790}=\left(1.0125}\right)^{12t}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Cdfrac%7B17474%7D%7B7790%7D%3D%5Cleft%281.0125%7D%5Cright%29%5E%7B12t%7D)
![\implies \sf \ln\left(\dfrac{17474}{7790}\right)=\ln \left(1.0125}\right)^{12t}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Cln%5Cleft%28%5Cdfrac%7B17474%7D%7B7790%7D%5Cright%29%3D%5Cln%20%5Cleft%281.0125%7D%5Cright%29%5E%7B12t%7D)
![\implies \sf \ln\left(\dfrac{17474}{7790}\right)=12t \ln \left(1.0125}\right)](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Cln%5Cleft%28%5Cdfrac%7B17474%7D%7B7790%7D%5Cright%29%3D12t%20%5Cln%20%5Cleft%281.0125%7D%5Cright%29)
![\implies \sf t=\dfrac{\ln\left(\frac{17474}{7790}\right)}{12 \ln \left(1.0125}\right)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20t%3D%5Cdfrac%7B%5Cln%5Cleft%28%5Cfrac%7B17474%7D%7B7790%7D%5Cright%29%7D%7B12%20%5Cln%20%5Cleft%281.0125%7D%5Cright%29%7D)
![\implies \sf t=5.419413037...\:years](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20t%3D5.419413037...%5C%3Ayears)
Therefore, the money was in the account for 5 years and 5 months (to the nearest month).
Answer:
39364
Step-by-step explanation:
You can simplify the equation to make 4(1+3+9...) The nth term is therefore
so u can substitute that into the equation so 4(
..). This would simplify to 4(
+
). By simplifying this, you can make it so 4(
) = 4(4+36+324+2916+6561) =39364
Answer,a and b, sorry if they are wrong
One of the missing angles is 45degrees 64+71=135 then subtract from 180 since it is a triangle. Then 64 are vertical angles with the one across from it which stays the same. The last angle would be 64+56=120 and 180-120=60 which would be the last angle. Hope this Helps... Juan