Answer:
24 and 9
Step-by-step explanation:
Hi there!
Let x be equal to the larger integer.
Let y be equal to the smaller integer.
<u>1) Construct equations</u>
(The sum of two integers is 33)
(The larger is 6 more than twice the smaller)
<u>2) Solve for one of the integer</u>
Isolate x in the first equation
Plug the first equation into the second
Combine like terms
Therefore, the smaller integer is 9.
<u />
<u>3) Solve for the other integer</u>
Plug in y (9)
Therefore, the larger integer is 24.
I hope this helps!
The cube root of x^2.
If you look at a regular square root of a number, that would be the same as x^(1/2) See the pattern?
Answer:
there is an economic principle that states that 1 dollar today is worth more than 1 dollar in the future, since an invested dollar could earn interests and gain value.
For example, we can assume a 6% interest rate (0.5% monthly interest rate), and using the present value formula we can determine the present value of $100:
- given to us in 30 days = $100 / (1 + 0.5%)¹ = $99.50
- given to us in 150 days = $100 / (1 + 0.5%)⁵ = $97.54
- given to us in 300 days = $100 / (1 + 0.5%)¹⁰ = $95.13
In order to calculate the value of $100 given to us tomorrow, we would need to determine a daily interest rate = 6% / 360 = 0.00017
- $100 given to us tomorrow = $100 / (1 + 0.00017)¹ = $99.98
since the amount of money is not that large and the interest rate is rather low, the difference in value is not that large. But imagine if you used a 24% interest rate instead of 6% (monthly interest rate = 2%)
- $100 given to us in 30 days = $100 / (1 + 2%)¹ = $98.04
- $100 given to us in 150 days = $100 / (1 + 2%)⁵ = $90.57
- $100 given to us in 300 days = $100 / (1 + 2%)¹⁰ = $82.03
as the interest rate increases, the present value decreases.
Answer:
Step-by-step explanation:
Hello,
First of all, we know that the solution of the following equation
are
<em>I would suggest that you try to apply this formula first and check the solution only after you try.</em>
Let's apply it in this case, we have:
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The equation of line is:
Further explanation:
Given
y = 2x + 2
Comparing it with standard form:
y=mx+b
Let m1 be the slope of given line
We know that product of slopes of two perpendicular lines is -1
Let m2 be the slope of second line
Putting the value of m2 in standard form
To find the value of b, putting (6,3) in equation
Putting the values of b and m, we get
The equation of line is:
Keywords: Slope, Point-slope form
Learn more about slope at:
#learnwithBrainly
