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 price:
- last year: $2.25
- this year: $.45
The decrease: $2.25 - $.45 = $1.80
2.25 : 1.80 = 100 : x
2.25 x = 180
x = 180 : 2.25
x = 80
Answer:
The percent of decrease is A ) 80%
The monthly amortization is P23,511.63
<h2>Compound interest</h2>
The formula for calculating the compound interest is expressed as:
whrere:
- P is the principal = P700,000
- r is the rate = 12% = 0.12
- t is the time = 4 years
- n = 12
Substitute the parameters
Calculate the monthly payment:
Monthly payment = 
Hence the monthly amortization is P23,511.63
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Answer:
y = 12^8
Step-by-step explanation:
Log base 12, y^2 = 16
y2 = 12^16
y = sqrt ( 12^16) = (12^16)^1/2
y = 12^8
