Answer:
180
Step-by-step explanation:
Given that Rylee took out a loan for $3600 at 13% interest.
Where interest is compounded annually.
Interest for 1 year = 13% of 3600 = 0.13*3600 = 468
Amount due after 1 year = Loan + interest = 3600+468 = 4068
Monthly payment = 460
So Amount to be paid after 1 year = 4068-460 = 3608
New due amount $3608 is more than the loan amount $3600
Which means loan will always remain due for his entire life.
Hence Rylee will never be able to pay off the loan.
Interest must be less than the monthly payment in order to pay off the loan.
Use this property of logarithms:

Your equation transforms into:

Now, you have to apply the definition of a logarithm to express the equation in exponential form:

In case you don't remember, this is the definition of a logarithm:

The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).
Finally, solve the rational equation:



The correct answer is d.
Answer:B
Step-by-step explanation:
He charged the man $25.75 for each hour and he worked for 3 hours so multiply $25.75 x 3 = $77.25
So first you must find the height at which the "spot" is where the ladder touches the wall...
sin60=h/30
h=30sin60
Now we can find the angle that the 35 ft ladder make when it touches the same spot.
sinα=h/35 and using h we found earlier...
sinα=(30sin60)/35
α=arcsin[(30sin60)/35]
α≈47.93 (α≈47º55'42")