Tyrese wants to buy 15 packs of baseball cards. They cost $ 5.00 per pack. There is a 25 % discount before tax if 10 or more packs are purchased. Sales tax is 7 % . Tyrese gives the cashier $ 100 to pay for his baseball cards. How much change will he receive in return?

Tyrese will receive $39.81 in return.

Step-by-step explanation:

First, you have to multiply the 15 packs for the cost per pack:

15*$5=$75

As there is a 25% discount before tax if 10 or more packs are purchased, you have to calculate 25% of the total cost for the 15 packs and subtract that amount from the cost:

$75*25%=$18.75

$75-$18.75=$56.25

Then, you have to calculate 7% of the amount with the discount and add that to the cost:

$56.25*7%=$3.93

$56.25+$3.94=$60.19

Now, you can subtract $60.19 from $100 to find the change that Tyrese will receive in return:

$100-$60.19= $39.81

According to this, the answer is that Tyrese will receive $39.81 in return.

(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