Answer:3.694x10^2
Step-by-step explanation:
Answer:
3.666666667 + 2.333333333y
Step-by-step explanation:
Simplifying
3x + -7y = 11
Solving
3x + -7y = 11
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7y' to each side of the equation.
3x + -7y + 7y = 11 + 7y
Combine like terms: -7y + 7y = 0
3x + 0 = 11 + 7y
3x = 11 + 7y
Divide each side by '3'.
x = 3.666666667 + 2.333333333y
Answer:
$15348
Step-by-step explanation:
i = prt is the simple interest equation
i = 12,000(0.031) = 372
i = 372*9 = 3348
12000+3348 = $15348
Answer:
<h2>a = 5 cm, b = 2 cm.</h2>
Step-by-step explanation:
![\text{We have:}\\\\A_{PQRS}=45\ cm^2\\\\A_{PQRS}=a(7+b)\\\\A_{PXYS}=10\ cm^2\\\\A_{PXYS}=ab\\\\\text{Therefore we have the system of equations:}\\\\\left\{\begin{array}{ccc}a(7+b)=45&\text{use the distributive property}\\ab=10\end{array}\right\\\left\{\begin{array}{ccc}7a+ab=45&(1)\\ab=10&(2)\end{array}\right\\\\\text{Substitute (2) to (1):}\\7a+10=45\qquad\text{subtract 10 from both sides}\\7a=35\qquad\text{divide both sides by 7}\\a=5\\\text{Put it to (2):}\\5b=10\qquad\text{divide both sides by 5}\\b=2](https://tex.z-dn.net/?f=%5Ctext%7BWe%20have%3A%7D%5C%5C%5C%5CA_%7BPQRS%7D%3D45%5C%20cm%5E2%5C%5C%5C%5CA_%7BPQRS%7D%3Da%287%2Bb%29%5C%5C%5C%5CA_%7BPXYS%7D%3D10%5C%20cm%5E2%5C%5C%5C%5CA_%7BPXYS%7D%3Dab%5C%5C%5C%5C%5Ctext%7BTherefore%20we%20have%20the%20system%20of%20equations%3A%7D%5C%5C%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Da%287%2Bb%29%3D45%26%5Ctext%7Buse%20the%20distributive%20property%7D%5C%5Cab%3D10%5Cend%7Barray%7D%5Cright%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D7a%2Bab%3D45%26%281%29%5C%5Cab%3D10%26%282%29%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5Ctext%7BSubstitute%20%282%29%20to%20%281%29%3A%7D%5C%5C7a%2B10%3D45%5Cqquad%5Ctext%7Bsubtract%2010%20from%20both%20sides%7D%5C%5C7a%3D35%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%207%7D%5C%5Ca%3D5%5C%5C%5Ctext%7BPut%20it%20to%20%282%29%3A%7D%5C%5C5b%3D10%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%205%7D%5C%5Cb%3D2)
The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
<h3>What is an
exponential function?</h3>
An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let p represent the bacteria population in thousand after d days.
Since each day, the bacteria population grows by a factor of 2, hence:
![p=2^d](https://tex.z-dn.net/?f=p%3D2%5Ed)
Hence, d = log₂p represents a logarithmic function
The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
Find out more on exponential function at: brainly.com/question/12940982