Answer:
x = (5,3)
Step-by-step explanation:
the quadratic formula is x =( -b±√(b^2-4ac))/2a
to solve for x, a=1, b=-8,c=15
x =( -(-8)±√((-8)^2-4*1*15))/2(1)
x=8 ± √(64-60))/2(1)
x=(8 ± √(4)) / 2
x=(8 ± 2) / 2
solve with '+'
x=(8 + 2) / 2 = 10/5 = 5
solve with '-'
x=(8 - 2) / 2 = 6/2 = 3
x = (5,3)
The first one is 2/3
Second one is 1/3 2/3 and 3/3
Last one is may be because they are equal?
We will use a Future Value Formula:
FV=PV(1 + i)ⁿ
$939 is our Present Value (PV)
.06 (6%) will be substitued for i (interest)
6 years will be substituated for "n" (numbers of periods)
FV = $939 (1 + .06) ^6
FV = 1331.989446 or rounded to <u>1331.99 balance at the end of 6 years</u>
Calculation for plan A:
Let numbe of months = x
Given that $10 is the monthly fee.
Given that $150 is the joining fee.
Then cost equation for plan A is given by:
A=10x+150
Calculation for plan B:
Let numbe of months = x
Given that $30 is the monthly fee.
Given that $50 is the joining fee.
Then cost equation for plan B is given by:
B=30x+50
Now we have to find on what month will the cumulative costs of the plans be equal.
So we will just set both equations equal to each other
10x+150=30x+50
150-50=30x-10x
100=20x
5=x
Hence it will take 5 months to make cost of both plans equal.
To find the total cost plug x=5 into any of above equations:
A=10x+150=10*5+150=50+150=200
Hence final cost will be $200.
Answer: The hypotenuse is about 11 inches and it is greater than the legs
Step-by-step explanation:
Hi, we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (the longest side) and a and b are the legs.
Replacing with the values given:
c^2 = 7^2 + 9^2
c^2 = 49+81
c^2 = 130
c = √130
c = 11.40 inches
The hypotenuse is about 11 inches and it is greater than the legs
11.40>7 ; 11.40 >9
Feel free to ask for more if needed or if you did not understand something.
