Last month, when jerry received his bank statement, he found that the balance in the statement did not match the balance in the register. examine jerry's check register and bank statement and evaluate his problem. trans typ./ check no. date description of transaction payment/ debit deposit/ credit (+) balance 900 00 241 9/4 miller's food market 67.25 67 25 groceries 832 75 242 9/18 frank's auto parts 36.80 36 80 oil and filter 795 95 243 9/28 mike's barber shop 15.00 15 00 haircut 780 95 deposit 9/30 paycheck 650.45 650 45 1,431 40 checking account statement account number: 1234-1212 checks date check no. amount 9/5 241 $67.25 9/20 242 $36.80 9/30 243 $15.00 other activity date transaction amount 9/30 deposit $650.45 9/30 fees $15.00 balances opening balance $900.00 closing balance $1,416.40

He had bank fees that were not in his check register

Step-by-step explanation :

Balance on check register = Initial Balance - ( Expense on Food Market + Frank's auto parts + Barber shop ) + Deposit

= 900 - (67.25 + 36.80 + 15) + 650.45

= $1431.40

Balance on Account statement =  Opening balance - ( checks amount on different dates ) + deposit - fees

= 900 - (67.25 + 36.80 + 15) + 650.45  - 15

= $1416.40

So, the balances in the bank statement and the checking register are not matching because fees paid on 9/30 of $15 is not calculated by Jerry in his check register

⇒ $1431.40 - $15.00 (Fees) = $1416.40

Therefore, now the balance on both the account and checking statements match.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1