Question

The original amount is 44 photos then he took 25 more photos in 6 days.What is the rate

Answer 1

Answer:

The rate at which amount of photo increase after 6 days is 7.75

Step-by-step explanation:

Given as :

The original amount of photo = 44

The final amount of photo = 44 + 25 = 69

Time period = 6 days

Let The rate = r

So, final value after n days = original value × $( 1+ \frac{Rate}{100})^{n}$

Or, 69 = 44 × $( 1+ \frac{r}{100})^{6}$

Or, $\frac{69}{44}$ =  $( 1+ \frac{r}{100})^{6}$

Or, 1.568 =  $( 1+ \frac{r}{100})^{6}$

Or, $( 1.568)^{\frac{1}{6}}$ = $( 1+ \frac{r}{100})$

Or, ( 1.0775 - 1 ) × 100 = r

Or, 0.0775 × 100 = r

∴   r = 7.75

Hence The rate at which amount of photo increase after 6 days is 7.75 Answer