Answer:
Step 1: Transpose everything to one side
12. x²+16x+15-10x+4=0
Step 2: Add the like terms
x² + (16x - 10x) + 15 + 4=0
x² + 6x + 19=0
Step 3: Use the quadratic formula to get the value(s) of x.
a=1 b=6 c=19
therefore, x=... or x
Use compound interest formula:
Future value, F
25000=P(1+i)^n
where
P=present value to be found
i=annual interest rate = 0.065
n=number of years = 6
so
25000=P(1.065)^6
=>
P=(25000/1.065^6)=$17133.353
You can solve this either just plain algebra or with the use of trigonometry.
In this case, we'll just use algebra.
So, if we let M be the the point that partitions the segment into a ratio of 3:2, we have this relation:
KM/ML = 3/2
KM = 1.5 ML
We also have this:
KL = KM + ML
Substituting KM,
KL = (3/2) ML + ML
KL = 2.5 ML
Using the distance formula and the given coordinates of the K and L, we get the length of KL
KL = sqrt ( (5-(-5)^2 + (1-(-4))^2 ) = 5 sqrt(5)
Since,
KL = 2.5 ML
Substituting KL,
ML = (1/2.5) KL = (1/2.5) 5 sqrt(5) = 2 sqrt(5)
Using again the distance formula from M to L and letting (x,y) as the coordinates of the point M
ML = 2 sqrt(5) = sqrt ( (5-x)^2 + (1-y)^2 ) [let this be equation 1]
In order to solve this, we need to find an expression of y in terms of x. We can use the equation of the line KL.
The slope m is:
m = (1-(-4))/(5-(-5) = 0.5
Using the general form of the linear equation:
y = mx +b
We substitue m and the coordinate of K or L. We'll just use K.
-5 = (0.5)(-4) + b
b = -1.5
So equation of the line is
y = 0.5x - 1.5 [let this be equation 2]
Substitute equation 2 to equation 1 and solving for x, we get 2 values of x,
x=1, x=9
Since 9 does not make sense (it does not lie on the line), we choose x=1.
Using the equation of the line, we get y which is -1.
So, we get the coordinates of point M which is (1,-1)
According to Greg himself (probably a master at pies) says perfect cherry pies have a ratio of 240 cherries to 3 pies. First, we need to divide 240 cherries by 3 pies to find out how many cherries are in one pie.
240 / 3 = 80
Then multiply by 9 to get your answer.
9 * 80 = 720
Answer:
Hence in 52 weeks he will distribute 156 $ with 3 $ per week from his pay
Step-by-step explanation:
Given:
156 $ to United way for a year.
With each weeks.
To Find:
How much amount he will take for pay for giving to United way.
Solution:
He wants to give money to united way in a year
So there are 365 days per year
And he held money from is his pay every week
So there 7 days per weeks.
Hence Total number of weeks in a year will given by,
=365/7
=52 weeks per year
Now he held every week from his pay to United way
And Total amount to distribute is about 156 $ in 52 weeks.
So Every week amount will be
=156$/52
=3 $ /week
