Answer:
x=1.8
Step-by-step explanation:
To solve this equation, we can use PEMDAS and the various properties.
First, use the distributive property on all parenthesis, since parenthesis come first.
4x-1+6x+6x+24=52
Now we can use the commutative property to add all like terms.
16x+23=52
Now just subtract on both sides.
52-23=29 so our equation is 16x=29
To isolate x, divide both sides by 16.
x=1.8 rounded up
Hope this helps!
No because that is much more than 180 degrees.
Answer:
Step-by-step explanation:
Given:
Interval, [0, 4]
Required:
Average range of change over [0, 4]
SOLUTION:
Find f(0) and f(4) from the graph:
(when x = 0, y = 0)
(when x = 4, y = 3)
Average rate of change = 
Where,
Plug in the values into the formula for average rate of change.
Average rate of change
Based on the information, Christian would have $5525.5 of an annuity.
<h3>How to calculate the annuity?</h3>
According to the given information, the number of coffees per week is 3 then, per month is 3x4 = 12
Each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54
Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133
n = number of payments = 8 x 12 = 96
We can use the formula for finding the future value as below
FV = C x [ ( 1 + r )n-1 ] / ( r )
FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)
= 54 x [ (1.13609 - 1)] / (0.00133)
= 54 x 0.13609 / (0.00133)
= 54 x 102.3233
= 5525.5
Therefore Christian would have $5525.5 of the annuity.
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Answer:
Step-by-step explanation:
