peter is trying to get his cat out of a tree in his backyard. The cat is 12feet above the ground, and Peter has to put the base of his ladder 9 feet away from the tree because of mud. How long does the ladder need to be in order to reach the cat.

15 feet

Step-by-step explanation:

Given that,

The cat is 12feet above the ground, and Peter has to put the base of his ladder 9 feet away from the tree because of mud.

If we consider a right-angled triangle, in which the height is 12 feet, base is 9 feet.

We need to find how long does the ladder need to be in order to reach the cat i.e. the hypotenuse of the triangle.

We can use the Pythagoras theorem to find it.

So, the ladder must be at a distance of 15 feet in order to reach the cat.

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.