Answer:
$135.01
Step-by-step explanation:
A mark up of 100% means that the price was doubled.
58.7*2=117.4
To add sales tax to a price (p) you need to do p+(sales tax * p)
117.4+.15(117.4)
135.01
1/5 gallon 1 hour
7/8 gallon x hour
x=(7/8)/(1/5)=(7/8)*5=35/8 hour =4 3/8 hour
Answer:
x^2 +4x+4 = 4
Step-by-step explanation:
To complete the square take the coefficient of the x term
4
Divide by 2
4/2 =2
Square it
2^2 =4
Add it to both sides of the equation
x^2 +4x+4 = 4
We want to see how much the population of goats grows each year. We will see that the correct option is c: 17%.
<h3>
Exponential growth of populations</h3>
We know that:
- The initial number of goats is 1,500.
- After 11 years, the population is 8,400.
The population can be modeled with an exponential equation as:
P(t) = A*(1 + r)^t
Where:
- A is the initial population.
- r is what we want to find, it depends on how much the population increases.
- t is the time in years.
So we have:
P(t) = 1500*(1 + r)^t
And we know that after 11 years the population is 8,400, so we have:
P(11) = 1500*(1 + r)^11 = 8400
Now we can solve this for r:
(1 + r)^11 = 8400/1500 = 5.6
(1 + r) = (5.6)^(1/11) = 1.17
r = 1.17 - 1 = 0.17
r = 0.17
To get it in percentage form, you just need to multiply it by 100%
0.17*100% = 17%
This means that the population increases a 17% each year, so the correct option is c.
If you want to learn more about exponential growth, you can read:
brainly.com/question/13223520
Answer:
10p^2 + 5p + 42 = b+3c
Step-by-step explanation:
b = -p + 10p^2
c = 2p + 7
b + 3c = 5p + 10p^2+ 42
