Aril and Dita are wealthy Norwegian business owners who make monthly donations to international
disaster relief.
• Aril donated 150 Norwegian kroners (kr) the first month, and the cumulative number of Norwegian
kroners she has donated increases by a factor of 2.5 each month.
Dita donated 300 kr the first month, and the cumulative number of Norwegian kroners she has
donated increases by 400 kr each month.
They started making donations at the same time, and they both make their monthly donations at the
beginning of each month.
What is the first month in which Aril's cumulative donation exceeds Dita's cumulative donation?

4.08%

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

(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

question 1: step-by-step explanation:

1/4 of 84 = 84÷4= 21