Answer:
see explanation
Step-by-step explanation:
substitute the values of x in the table into g(x)
Using the rule of exponents
 =
 = 
g(- 2) =  =
 =  =
 = 
g(- 1) =  =
 = 
g(0) =  = 1
 = 1
g(1) =  = 4
 = 4
g(2) = 4² = 16
 
        
                    
             
        
        
        
The amount invested in the account that yields 7% interest is $4000.
The amount invested in the account that yields 12% interest is $1000.
<h3>What are the linear equations that represent the question?</h3>
a + b = 5000 equation 1 
0.07a + 0.12b = 400 equation 2
Where: 
a = amount invested in the account that yields 7% interest. 
b =  amount invested in the account that yields 12% interest.
<h3>How much is invested at each rate?</h3>
Multiply equation 1 by 0.07
0.07a + 0.07b = 350 equation 3 
Subtract equation 3 from equation 2
0.05b = 50 
b = 50 / 0.05 
b = 1000 
Subtract 1000 from 5000: 5000 - 1000 = 4000
To learn more about linear functions, please check: brainly.com/question/26434260
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Answer:
12,000 m³
Step-by-step explanation:
- Area of it's base = 900 m²
- Height of the pyramid = 40 m
The volume of a pyramid = 1/3 × area of base × height
= 1/3 × 900 × 40
= 300 × 40
= 12,000 m³
 
        
             
        
        
        
Answer:
OK so you point is y=4 and x=3 so plot that on a x,y graph. Then to turn it -270 degrees you need to clock wise. normally you would just go counter clock wise but since your rotation is negative you go counter clock wise. hope this helped!!
Step-by-step explanation:
 
        
             
        
        
        
Answer:
75
Step-by-step explanation: