On august 1, charles’ checking account register showed a balance of $2,416.78. after reviewing his bank statement he noticed an nsf charge in the amount of $70.25, a service charge of $19.00, and a note collected for $456.00. there was one deposit not yet credited for $155.00 and no checks outstanding. what was his reconciled balance? $2,820.53 $2,902.53 $2,902.35 $2,783.53

$2783.53

Step-by-step explanation:

$2416.78 - $70.25 - $19.00 +$456.00 = $2783.53

Can't count the $155.00 just yet as it has not registered as a credit. NSF and the service charge are always a deduction.

the given growth  function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where 

m = months

at the end of the study, the length is 9.19 cm. the  time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period  of about 1.72 months. therefore  the domain for  plotting the function is 0 < = m < = 1.72.

note:

if growth  continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.