X=1 & Y=12
X=2 & Y=20
X=3 & Y=30
Answer:
$40 per week
Step-by-step explanation:
Step one:
Given data
the initial amount is = $100
the total amount= $500
let the number of weeks be x
Step two:
The expression for the scenario is
From the expression above, the rate of the change is $40 per week.
this means that in every week the account will be increased by $40
Answer:
The waiter earns $7 per hour
Step-by-step explanation:
In this question, we are asked to calculate the amount a waiter earns per hour at work given the total he had earned including tips.
To solve this question, we can see that we have been given the total amount he has earned and also the amount he has also earned in tips.
Now, to get the standard amount he’s supposed to earn per hour, firstly, we have to subtract the amount he has earned in tips from the total. Mathematically that is 128-86 = $42
This means, by standard he has earned $42 in six hours. Now, we need to calculate the amount she earns by hour.
To do this, we simply divide the total amount earned by the number of hours.
Mathematically that is $42/6 hours = $7 per hour
Lateral area of the cone is given by:
LA=πr√(h²+r²)
where:
h=height
r=radius
Given that LA=287.5 yd² and r=(15/2) yds, then the height will be:
287.5=7.5π√(h²+7.5²)
solving for h we get:
(287.5/7.5π)²=h²+7.5²
thus
h²=(287.5/7.5π)²-7.5²
h²=63.1851597
To get the slant height we use Pythagorean theorem.
c²=a²+b²
a²=h², b²=7.5²
thus
c²=h²+7.5²
c²=63.1851597+56.25
c²=119.4351597
c=10.92864~10.9 yards
