Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y =
630(0.94)

decay, 94%

Step-by-step explanation:

when multiplying by a decimal between 0 and 1, the base value (630 in this case) is being decayed over time, by more and more each time you multiply by that decimal (.94 in this case)

however, of yoy were to multiply by any number greater than one, you're exponentially increasing the base value each time.

the percentage of increase or decrease is the decimal value from earlier youre multiplying by, except with the decimal moved two places to the right (.94 goes to 94%)

6% decrease

Step-by-step explanation:

Decay: 0.94 is less than 1

y=5700(0.94)

y=a(1-r)

y=5700(1-0.06)--- Break apart

r=0.06

6% decrease Convert to percentage

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.