2 3/5 - 1 1/3 = 2 6/15 - 1 5/15 = 1 1/5
 
        
             
        
        
        
Answer:
hola, lo puedes colocar en ingles por favor, seria mas facil para mi 
Step-by-step explanation:
 
        
             
        
        
        
Answer:
K' = (8,-4)   L' = (4,-7)  M' = (1,-2)
Step-by-step explanation:
Simply take the x coordinates and the y coordinates and flip them. 
For example, if you have A (2, 4) reflected across y=x, A' would be (4,2).
 
        
             
        
        
        
Answer:
115
Step-by-step explanation:
Given :
Mean of intelligence score = 100
Standard deviation of intelligence score = 15
Since both are perfectly correlated,
The Zscore ON SAT = +1.0
Using the standard normal interpretation, Xcore on SAT of +1.0 means 1 standard deviation to the right
This means :
Mean + 1 standard deviation
100 + 1*15
= 115
We could use the Zscore formula directly too:
Zscore = (x - mean) / standard deviation
Zscore = +1 ; x = score 
Hence, we have
1 = (x - 100) / 15
1 * 15 = x - 100
15 = x- 100
x = 15 + 100
x = 115
 
        
             
        
        
        
Annuities
Suppose a fixed investment R is done every fixed number of periods m per year for t years at a constant rate r.
a.
The final value of the investments plus the interest is calculated as follows:

Where:
n = number of total periods of the investment.
n = m*t

The company invests R = $13,000 for t = 10 years at the end of every quarter (3 months), thus m = 4. The interest rate is r = 9% = 0.09.
The interest rate compounds quarterly.
Calculate:
n = 4*10 = 40
i = 0.09 / 4 = 0.0225

Calculating:
FV = $829,220
The company will have $829,220 in scholarship funds
b. The interest can be found by subtracting the final value and the initial value. We have to calculate the latter:

Thus, the interest is:
welcI = $829,220 - $340,516
I = $488,704
The interest is $488,704