Answer:
5.5 hours
Step-by-step explanation:
Since every house has an initial charge of $50, we can begin with that
($50)
Then, let's define h as the number of hours. We know every hour is $70, although the hours is yet unknown so that can be
($70 * h) or simply ($70h)
Now, we know the total should end up to be $435, so after PEMDAS the equation will be
($70h + $50 = $435).
We subtract 50 from both sides so now we have $70h = $385.
Now we divide both sides by 70, giving us h = 5.5. Hope it helped!
Based on the information, Christian would have $5525.5 of annuity.
<h3>How to calculate the annuity?</h3>
According to given information, the number of coffees per week is 3 then, per month is 3x4 = 12
For 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 annuity.
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Answer:
2 1/6
Step-by-step explanation:
12/ 6= 2+(1/ 6)=2 1/6
1/6
Equation of required line is:
Step-by-step explanation:
First of all we will convert both equations in slope-intercept form
Subtracting 5x from both sides
Subtracting 9 from both sides
The y-intercept is -9.
Other equation is:
Adding 3x on both sides
Dividing both sides by 4
As the required line has y-ntercept of line y + 5x + 9 = 0
So,
b = -9
And
The line is parallel to second line, so the slopes of both will be equal
Slope-intercept form of line is:
Putting values of b and m
Keywords: Equation of line, Slope-intercept form
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Answer:
AB = 24, BC = 6
Step-by-step explanation:
Let, the length be a and breadth be b.
So, 2(a + b) = 60 => a + b = 30
(PQR) and (ABC) are similar.
So, a/8 = b/2
2a = 8b
2(30 - b) = 8b
60 - 2b = 8b
10b = 60
b = 6
So, a = 24
[If there's any problem with the solution, please inform me]
