Share
tals, we werest Deus – In what time will 5120 amount to 7290 at 12 1/2% per annum compounded annually?
Question
tals, we werest Deus
–
In what time will 5120 amount to 7290 at 12 1/2% per annum compounded annually?
in progress
0
Mathematics
5 years
2021-08-27T08:08:09+00:00
2021-08-27T08:08:09+00:00 1 Answers
20 views
0
Answers ( )
Answer:
The time will be “3 years“.
Step-by-step explanation:
The given values are:
Principle,
P = 5120
Amount,
A = 7290
Rate,
r = 12.5
Time,
n = ?
As we know,
⇒![Rendered by QuickLaTeX.com A = P[1+\frac{r}{100} ]n](https://documen.tv/wp-content/ql-cache/quicklatex.com-fe000a2a6e29939369d67daf2962a018_l3.png)
On substituting the values, we get
⇒![Rendered by QuickLaTeX.com 7290=5120[1+\frac{12.5}{100} ]n](https://documen.tv/wp-content/ql-cache/quicklatex.com-99dda415a4c9629e17ddb42ba7f8213e_l3.png)
On applying cross-multiplication, we get
⇒![Rendered by QuickLaTeX.com \frac{7290}{5120}=[1+\frac{125}{100}\times 100 ]n](https://documen.tv/wp-content/ql-cache/quicklatex.com-b60afa24ad87a8c716baae2aa3376d2a_l3.png)
⇒![Rendered by QuickLaTeX.com \frac{9}{8}\times 3=[8+\frac{1}{8} ]n](https://documen.tv/wp-content/ql-cache/quicklatex.com-03039b859ff643f29c18a073c064bdfd_l3.png)
⇒