C. 360 Square meters
........
How can you find 50% of a number quickly in your head
2 answers:
You might be interested in
The curve has been attached and the answer choices are:
y = 3x² – 2x + 1
y = 3x² – 6x + 3
y = 3x²<span> – 7x + 1
</span>
The attached graph has a vertex in the first quadrant. Therefore, the coordinates of the vertex would be both positive.
Let's start with first equation:
y = 3x² – 2x + 1
using the equation of axis:
x = -b/2a
x = 2/6
x = 1/3
SUbstituting the value of x in the main equation to get the y-coordinate of the vertex.
y = 3(1/3)² – 2(1/3) + 1
y = 3/9 – 2/3 + 1
y = 1/3 – 2/3 + 1
y = (1 - 2 + 3)/3
y = 2/3
Hence, the vertex would be:
(h,k) = (1/3 , 2/3)
Also, the leading coefficient is positive, so the parabola would be concave up.
Thus the final answer choice will be:
y = 3x² – 2x + 1
y = 3x² – 2x + 1
y = 3x² – 6x + 3
y = 3x²<span> – 7x + 1
</span>
The attached graph has a vertex in the first quadrant. Therefore, the coordinates of the vertex would be both positive.
Let's start with first equation:
y = 3x² – 2x + 1
using the equation of axis:
x = -b/2a
x = 2/6
x = 1/3
SUbstituting the value of x in the main equation to get the y-coordinate of the vertex.
y = 3(1/3)² – 2(1/3) + 1
y = 3/9 – 2/3 + 1
y = 1/3 – 2/3 + 1
y = (1 - 2 + 3)/3
y = 2/3
Hence, the vertex would be:
(h,k) = (1/3 , 2/3)
Also, the leading coefficient is positive, so the parabola would be concave up.
Thus the final answer choice will be:
y = 3x² – 2x + 1
Hello!
Since we already see an equation that equals y (-2x-4), we can plug that equation into the first to solve for x.
x+4(-2x-4)=19
x-8x-16=19
-7x=35
x=-5
Now that we know the value of x, we will plug it into the second equation to solve for y.
y=-2(-5)-4
y=10=4
y=6
This gives us the answer below
The correct answer is A) (-5,6)
I hope this helps!
Since we already see an equation that equals y (-2x-4), we can plug that equation into the first to solve for x.
x+4(-2x-4)=19
x-8x-16=19
-7x=35
x=-5
Now that we know the value of x, we will plug it into the second equation to solve for y.
y=-2(-5)-4
y=10=4
y=6
This gives us the answer below
The correct answer is A) (-5,6)
I hope this helps!
Step-by-step explanation:
- Natalie has $5000
- She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.
Part a) What type of exponential model is Natalie’s situation?
Answer:
As Natalie's situation implies
- continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.
So, it requires the more generalized version of the principal calculation formula such as:
or
Here,
= interest rate
= number of compounding periods
= time period in years
Part b) Write the model equation for Natalie’s situation?
For continuous compounding the number of compounding periods, , becomes infinitely large.
Therefore, the formula as we discussed above would become:
Part c) How much money will Natalie have after 2 years?
Using the formula
$₂ $
So, Natalie will have $ after 2 years.
Part d) How much money will Natalie have after 2 years?
Using the formula
$₁₀ $
So, Natalie will have $ after 10 years.
Keywords: word problem, interest
Learn more about compound interest from brainly.com/question/6869962
#learnwithBrainly