Katie has $50 in a savings account at the beginning of the summer. she wants to have at least $20 in the account by the end of summer. she withdraws $2 each week for food, clothes, and movie tickets. write an inequality that expresses katie’s situation and display it on the graph below. for how many weeks can katie withdraw money?

The number of week for which money is withdraw is 15 weeks .

Step-by-step explanation:

Given as :

Total amount available in account initially = P = $50

The amount need to be in account at the last = p = $20

The amount withdraw each week for food,clothes,ticket = $2

Let The number of week for which money is withdraw = n weeks

According to question

Total amount available in account initially - amount withdraw each week ×  number of week for which money is withdraw = amount need to be in account at the last

i.e $50 - $2 × n = $20

Or, $2 n = $50 - $20

Or, $2 n = $30

∴  n =

i. e n = 15  weeks

So , The number of week for which money is withdraw = n = 15 weeks

Hence, The number of week for which money is withdraw is 15 weeks . Answer

Answer with explanation:

The given Logarithmic equality is which can be solved as follows:

Used following properties of Log

but, if you substitute x= -6,in the given equation, that is

LHS≠RHS

So, x=6,is only solution of given logarithmic equality

∵

LHS=RHS