Plug -8 in for x:
4(-8) + 5
solve:
-32 + 5
-27
Given:
Future Value = $75,210
term = 8 years
rate = 8.5%
Initial loan = ?
In this case, we need to find the present value of the loan. Compounded means that even the interest has an interest.
PV = FV / (1 + i)^n
PV = 75,210 / (1 + 0.085)⁸
PV = 75,210 / (1.085)⁸
PV = 75,210 / 1.9206
PV = 39,159.64
Initial loan is $39,159.64
total interest is $75,210 - 39,159.64 = $36,050.36
The shelf should sell for $235.20.
Marking the price up by 60% means taking 160% of the cost:
160% = 160/100 = 1.6; 1.6(147) = 235.20
Given
Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.
The sandwich cost $7.75 and sales tax was $0.47.
Find out the cost of her drink
To proof
Let the cost of her drink be x.
As given in the question
Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.
Elysse paid for her sandwich and drink = 10 - 0.63
= $ 9.37
sandwich cost $7.75 and sales tax was $0.47
Than the equation becomes
x = 9.37 - (7.75 + 0.47)
x = 9.37 - 8.22
x = $ 1.15
The cost of the drink is $ 1.15.
Hence proved
The activation energy is the amount of energy required to initiate a certain reaction. The activation energy may considered as an "energy barrier" that has to be overcome in order for a reaction to begin. If a reaction has a lower activation energy, then it will occur more easily and at a faster rate than a reaction with a higher activation energy. Therefore, the reason that reaction 1 is faster than reaction 2 is because it has a lower activation energy than reaction 2.
