Jessie wants to open a checking account to pay bills. she wants a starter book of checks, plus free online bill payment ser
she analyzes the following statements of fees from good bank and great bank.
good bank
features and fees
- monthly fee, $5
• onlire bill paymert, free
• debit cards, free
2nd copy of statement, $7
200 checks, $8
network atm usage, 2 transactions per
month, free*
• non-sufficientfurds, $26
great bank
features and fees
online bill payment services, free
debit card, free
network atm usage, $1.50
morthly fee, $6
non-sufficient funds fee, $24the first
time in any month, $26 the second time,
and $30 the 31 and subsequent times in
the sare month
• starter check supply: $5
- replace rent statement cops $4
note: fees are subject to change
*$3 for each additional network atm
transaction
based upon past experience, jessie expects to accidentally overdraft the account about 3 times per year, unfortunately all in
same month, due to unexpected charges and miscommunications. she expects no 2nd copies of statements, and to use ne
atms 4 times per month with either bank. based on the tables of fees, which bank can be reasonably expected to cost jes
the least amount in fees per year?

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9