Mario invested $280 at 8% interest compounded continuously. Write the exponential function to represent the situation and at what time will the total reach $1,000,000?
O y =
280e0.8 ; 10.2 years
Oy
y = 280e 0.08t ; 102.3 years
O y = 280(1.8)
0.84
; 13.9 years
O y = 280(1.08)0.8; 106.3 years

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

(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

the first domain and range set to the left is matched with the top relation, and the second set the set in the middle goes with the bottom relation.