We are given that:
Tammy used 12 different colors of sequins
Tammy used 15 sequin of each color.
Therefore, to get the total number of sequins that she used, we will multiply the number of colors by the number of sequins of each color as follows:
Total number of sequins = 12*15 = 180 sequins
the final price of the wind chime is $29.925 .
<u>Step-by-step explanation:</u>
Here we have , A home improvement store sold wind chimes for $30 each. A customer signed up for a free membership card and received a 5% discount off the price. Sales tax of 5% was applied after the discount. We need to find What was the final price of the wind chime . Let's find out:
Initially we have , 5% discount in $30 i.e.
⇒ (30(5))/100
⇒ (150)/100
⇒ $1.5 , So now price becomes $30 - $1.5 = $28.5 . At this amount there's 5% tax i.e.
⇒ (28.5(5))/100
⇒ (142.5)/100
⇒ $1.425
So now price becomes $28.5 + $1.425 = $29.925 . Therefore , the final price of the wind chime is $29.925 .
Answer:
y=cos(x+π)
Step-by-step explanation:
Known that the cosine function has a period of 2π.
Now, the parental function is y = cosx, which has y-intercept at y = 1, and x-intercept at π/2.
Notice that the function showed in the graph attached has y-intercept at y = -1 and x-intercept at π/2. This indicates that the function has been moved leftwards π units.
Therefore, the function that belongs to this graph is

Time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours
<h3><u>Solution:</u></h3>
Given it takes Max 1.8 hours to walk home from work at a rate of 3.5km/h
We have to find time taken by Max to cover the same distance walking at 4.2 km/h
<em><u>The relation between speed and time is given as:</u></em>

<em><u>CASE 1:</u></em>
It takes Max 1.8 hours to walk home from work at a rate of 3.5km/h
Let us first find the distance covered
Time taken = 1.8 hours and speed = 3.5 km/hr

Hence distance covered is 6.3 km
<em><u>Now we have to find the time taken to cover same 6.3 km walking at 4.2 km\hr</u></em>

So time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours