The line which rises to the left has slope of -1/3 and y intercept of 2 so we have
y = -1/3x + 2
3y = -x + 6
x + 3y = 6
Shading is below and the line is solid so the inequality is
x + 3y ≤ 6
The other line has equation
y = 3x - 1
and inequality is
y ≥ 3x - 1
The answer is B
The are would be 25
and we could make 3 squares. 75
5inches will be left over.
Answer:
The answer is (d)
Exponential decay function

Step-by-step explanation:
∵ y = 0.8^x
∵ 0.8 < 1
∴ 0.8^x is decreasing ⇒ exponential decay function
Ex: 0.8^-4 = 2.441 ⇒ 0.8^4 = 0.4096
when x increase the value of 0.8^x decrease

∴ The answer is (d)
To solve this we are going to use the compound interest formula

where:

is the investment

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the time in years

is the amount after

years
First, lets convert the interest rate to decimal dividing it by 100%:

Next, lets find

. Since we know that the interest is compounded every 4 months (quarterly), it will be compounded

times in a year, so

.
We also know that

and

, so lets replace all the quantities into our compound interest formula:


Notice that the the number of years

is in the exponent, so we have to use logarithms to bring it down. But first lets divide both sides by 16000 to isolate the exponential expression:





Now that we know

, the last thing to do is convert 0.43 years to months:

We can conclude that Jimmy's investment will take
6 years and 5 months to reach $25,000.