You need $20,000 to make a down payment on a house. Your beginning balance in your checking account this month was $5,678. Your ending balance was $6,324. Assuming your account balance continues to grow at the same rate, how long until you have enough money to make the down payment?

22.1649 months

Step-by-step explanation:

We begin by calculating the interest accruing to the principal amount in the bank account;

$6,324 - $5,678

= $646

646/5678 * 100

= 11.38 % pm

Now that know the interest rate, we calculate the amount of time it will take to accrue to $20,000

A = P(1 + rt)

Where:

   A = Total Accrued Amount (principal + interest)

   P = Principal Amount

   r = Rate of Interest per year in decimal; r = R/100

   t = Time Period involved in months or years

20000 = 5678 (1 + 0.1138t)

20000 = 5678 + 646.1564t

20000 – 5678 = 646.1564t

14,322 = 646.1564t

t = 14,322/646.1564

t = 22.1649

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.