The slope is the same as the gradient
y=mx+c where m is the gradient and c is the y intercept
y=-5x-9
Therefore the 'slope' is -5 i.e. it goes down 5 every 1 across.
Answer:
? = 2 sqrt(21)
Step-by-step explanation:
We can use the Pythagorean theorem to solve since this is a right triangle
a^2 + b^2 =c^2
?^2 + 4^2 = 10 ^2
?^2 + 16 = 100
Subtract 16 from each side
?^2 +16-16 = 100-16
?^2 = 84
Take the square root of each side
sqrt(?^2) = sqrt(84)
? = sqrt(4) sqrt(21)
? = 2 sqrt(21)
Answer:
She needs to invest $13,636.36 right now
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this question:
In 15 years, so 
She wants to have $30,000, so 
8% interest, so 
We have to find P.
Replacing:
She needs to invest $13,636.36 right now
From their sum, the numbers are ' x ' and ' 8 - x ' .
From their product, x(8 - x) = 80 .
When you massage and manipulate this equation into the standard
quadratic form, you have
x² - 8x + 80 = 0 .
Applying the quadratic formula to tease out the solutions of this equation,
we find that they are
<em> x = 4 + 64 i</em>
and
<em> x = 4 - 64 i</em>
Answer:
the average time spend is 0.111
Step-by-step explanation:
The computation of the average time spend is as follows;
Arrival rate is
= 210 ÷ 10
= 21 per hour
Now the service rate is
= 60 ÷ service time
= 60 ÷ 2 minutes
= 30 per minute
And, finally the average time spend is
= 1 ÷ (service rate - arrival rate)
= 1 ÷ (30 - 21)
= 0.111
Hence, the average time spend is 0.111
