Areal estate agent calculates her monthly income in dollars, d(x), using the function d(x)=1/10x+500 in which x represents the dollar value of houses she sold that month. what is the monthly income for d (100,000)?

The monthly income for d(100000) is $10500.

Explanation:

Since we have given that

A real estate agent calculates her monthly income in dollars, using the function :

We need to find out the monthly income for d(100000).

So, in place of x we put the value of x i.e. 100000.

So, our equation becomes,

Hence, the monthly income for d(100000) is $10500.

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(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week