The ratio is 4:5
Divide both terms by 4
16/4 =4
20/4=5
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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The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Z score is given as:
z = (raw score - mean) ÷ (standard deviation/√sample size)
Given mean of 98.6°F, standard deviation is 0.62°F, sample size = 106
For x < 98.5:
z = (98.5 - 98.6) ÷ (0.62÷√106) = -1.66
P(z < -1.66) = 0.0485
The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%
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Do you have a typo? ; < this maybe
Answer:
Step-by-step explanation:
The hyperbola has x-intercepts, so it has a horizontal transverse axis.
The standard form of the equation of a hyperbola with a horizontal transverse axis is 
The center is at (h,k).
The distance between the vertices is 2a.
The equations of the asymptotes are
1. Calculate h and k. The hyperbola is symmetric about the origin, so
h = 0 and k = 0
2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6
a = 6/2 = 3
3. For 'b': The equation for the asymptote with the positive slope is
Thus, asymptote has the slope of
4. The equation of the hyperbola is
The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.
