Answer:
65
Step-by-step explanation:
We are given the relation between the height (in feet) and the distance (in miles) as follows:
y = sqrt(1.5x + (x/5280)^2).
We want to know the height (x) that makes the distance (y) = 10 miles
So, we will simply substitute in the above equation with y = 10 and calculate x as follows:
10 = sqrt(1.5x + (x/5280)^2)
we will square both sides to get rid of the root:
100 = 1.5x + (x/5280)^2
1.5x + (x/5280)^2 - 100 = 0
(x-66.11475)(x+7986.1147) = zero
either x = 66.11475 feet (accepted solution)
or x = -7986.1147 feet (rejected solution as no height is in negative)
The answer is C because my friend has told me it.
Answer:
<h2>
4076.56</h2>
Step-by-step explanation:
First we need to calculate the James monthly charges on his balance of 4289.
Using the simple interest formula;
Simple Interest = Principal * Rate * Time/100
Principal = 4289
Rate = 5%
Time = 1 month = 1/12 year
Simple interest = 4289*5*1/12*100
Simple interest = 21,445/1200
Simple interest = 17.87
<u>If monthly charge is 17.87, yearly charge will be 12 * 17.87 = </u><u>214.44</u>
The balance on his credit card one year from now = Principal - Interest
= 4289 - 214.44
= 4076.56
The balance on his credit card one year from now will be 4076.56
First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides
x^2 + 20x + (100 - 7) = 7 - 7
x^2 + 20x + 93 = 0
Now you must find two numbers who's sum equals 20 and their multiplication equal 93
Are there any? NO!
This means that you have to use the formula:
In this case:
a = 1
b = 20
c = 93
^^^We must simplify √28
√28 = 2√7
so...
simplify further:
-10 + √7
or
-10 - √7
***plus/minus = ±
Hope this helped!
~Just a girl in love with Shawn Mendes
