Ross has a season ticket. In 2013 the season ticket cost £65.
In 2014 the cost of the ticket was increased by 8%.
In 2015 the cost of the ticket was increased by a further 5%.

Calculate the cost of the season ticket after the two price increases.

£73.71

Step-by-step explanation:

Let's compute first for the cost of the ticket in 2014. Let x be the increase in the cost of the ticket. If the cost of the ticket is 8% of £65, then the expression should be like this:

Let's add £5.2 to £65 ⇒ £5.2 + £65 = £70.2

The cost of the season ticket in 2014 is £70.2.

Next, we'll have to compute the cost of the ticket in 2015. Let y be the increase in cost of the ticket. If the cost of the ticket is 5% of £70.2, then the expression should be like this:

Let's add £3.51 to £70.2 ⇒ £3.51 + £70.2 = £73.71

The cost of the season ticket in 2015 is £73.71. This is also the cost of the season ticket after two price increases.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.