Answer:
200
Step-by-step explanation:
170% of x = 680
Set up an equation:
170/100 • x/1 = 680
1.7 • x = 680
1.7x = 680
x = 400
50% of 400
1/2 • 400 = 200
Indirect material cost: y
explained by units produced: x
Linear regression. Cost estimation equation: y=mx+b
Constant: b=$15,640
Standard error of y estimate=$3,600
r^2=0.7704
Number of observations: n=22
x coeffient: m=11.25
Standard error of x coefficient=2.19
m=11.25, b=15,640 → y=11.25x+15,640
Answer: The cost estimation equation is y=11.25x+15,640
The value of x+y+z = 93
<u>Explanation:</u>
<u></u>
angle 1 = 18x
angle 2 = x+y
angle 3 = 30z
In rhombus, the diagonals intersect at 90°
Therefore,
angle 1 : 18x = 90
x = 90/18 = 5
angle 2: x+y = 90
5+y = 90
y = 85
angle 3: 30z = 90
z = 90/30 = 3
Value of x+y+z = 5+85+3 = 93
Thus, the value of x+y+z = 93
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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