Answer: 13.54%
Step-by-step explanation:
We compute the annual percentage rate (APR) using the formula:
APR=[(loanfee+interest)/Principaln×365]×100
Where n is the number of days in the loan repayment term.
In our question, we have:
r = 0.13n=4×365=1,460 days.
Therefore:APR=[(210+9,775×0.13)/9,7751,460×365]×100=13.54%
Answer:
Option (d) is a valid exclusion for the given algebraic fraction
(d) a ≠ 0, b ≠ 0, a ≠ 2b
Step-by-step explanation:
Given algebraic expression
We have to find the conditions which is valid exclusion for the algebraic fraction .
Consider , the given algebraic expression ,
We first solve the given fraction in simplest form ,
Taking 4ab common from denominator, we get,
Solving the fraction , we get,
For the above fraction to be valid denominator has to be non zero, that is
Thus, option (d) is a valid exclusion for the given algebraic fraction
35 miles because 5 times 7 is 35
The 2 angles are vertical angles, which mean they are equal.
Set the two equations to equal and solve for x:
4x + 7 = 5(x-4)
Use distributive property on the right side:
4x + 7 = 5x -20
Add 20 to each side:
4x +27 = 5x
Subtract 4x from each side:
27 = x
X = 27