Answer:
Period=6
Step-by-step explanation:
Given:
t=1cos(1.05h)+37
Using acos(bx-c)+d to find the period of the given function
amplitude= a
period= 2π/Bb
phase shift=c (positive is to the left)
vertical shift=d
comparing with t=1cos(1.05h)+37, we get
a=1
b=1.05
c=0
d=37
period= 2π/b
           =2π/1.05
           =5.983
           =6
Period of function is 6, after every 6 hours the refrigerator sensor will reach its maximum temperature and the cycle will move towards reducing temperature i.e it'll reach the minimum temperature then again the cycle will move upwards raising the temperature to maximum and so one period will be completed!
 
 
        
                    
             
        
        
        
Answer:
The amount invested in the mutual fund that earned 5% was $1,000
 The amount invested in the mutual fund that earned 3% was $1,800
Step-by-step explanation:
Let
x ----> the amount invested in the mutual fund that earned 5%
y ----> the amount invested in the mutual fund that earned 3%
we know that
 ---->
 ---->  ----> equation A
 ----> equation A


 ----> equation B
 ----> equation B
Solve the system by substitution
substitute equation A in equation B
 
 
Solve for x
 
 
 
 
 
 

<em>Find the value of y</em>
 
 
therefore
The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800
 
        
             
        
        
        
Write the equation of the line passing through the two points. Show that this line is perpendicular to the given line.
(4,1) and (6,-5) y=1/3x-7
(1,-6) and (3,-10) y=1/2x-5
Please help, we learned this today and I’m really confused. How do you do it?
 
        
        
        
Answer:
46.2
Step-by-step explanation:
 If you divide 231 by 5 then you get that answer.
 
        
             
        
        
        
Answer:
5 hours 30 minutes 
Step-by-step explanation:
347.50-100 (initial fee)=247.50. 247.50/45= 5.5 hours