Answer:
$<em>150,858.5</em>
Step-by-step explanation:
The formula for calculating compound interest is expressed as;
A = P(1+r/n)^nt
P is the Principal = $124000.00
r is the rate = 12% = 0.12
t is the total time = 2 years
n is the time of compounding = 1/4 = 0.25(quarterly)
Substitute into the formula;
A= 124000(1+0.12/(0.25))^(0.25)(2)
A = 124000(1+0.48)^0.5
A = 124000(1.48)^0.5
A = 124000(1.2166)
A = 150,858.5
<em>The amount after 2 years if compounded quarterly is 150,858.5</em>
(2/7)m - (1/7) = 3/14
2m/7 =(3/14) + (1/7)
2m/7 = (3/14) + 2(1/7)
here we are multiplying 2 with 1/7 to make the denominator same for addition.
2m/7 = (3/14) +(2/14)
2m/7 = (3 + 2)/14
2m/7 = 5/14
2m = (5 *7)/14
2m = 35/14
2m = 5/2
m = 5/4
m = 1.25
So the value of "m" is 1.25
The starting value is 20,300, and the value is decreasing by 9.5% each year.
Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.
A decrease by 9.5% corresponds to multiplying by 91.5% each year.
We write . We plug in 11 years for t.
$7,671.18
Answer:
price = x * 0.2
or
price = x * 0.454 * 0.2
Step-by-step explanation:
In this case we must know either the mass of the cake or its volume.
Given the case that we know the mass of the cake, it would be:
price = x * 0.2
where x is the mass of the cake in ounces, that is to say if for example a cake has a mass of 10 ounces, it would be:
price = 10 * 0.2 = 2
which means that each cake costs $ 2
Given the case of the volume, we must first multiply the density by this volume in order to calculate the mass and finally the price.
price = x * 0.454 * 0.2
where x is the volume of the cake in cubic inches, if for example the volume is 10 cubic inches it would be:
price = 10 * 0.454 * 0.2 = 0.908
which means that each cake costs $ 0.9
