Answer:
Step-by-step explanation:
Let
x ----> the number of t-shirts
y ----> the cost of buying T-shirts from Paula’s Printing in dollars
take two points from the given data
we have
(2,43) and (4,86)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values in the formula
step 2
Find the equation of the line in point slope form
we have
substitute
step 3
Convert to slope intercept form
Isolate the variable y
This linear equation represent a proportional relationship (the line passes through the origin)
Simple interest means the interest at the end of each year will always be 8% of 2000 (assuming he doesnt pay some of it off), and will not be compounded with the existing interest.
To get a percentage, multiply by the percentage/100, in this case i.e. multiply by 0.08.
2000*0.08 = $160.
Therefore he has $160 of interest each year to pay.
Now we just need to work out how many lots of 160 go into 640, i.e. divide through.
640/160 = 4 - therefore he has had the loan for 4 years.
Answer:
To find the volume of this figure, we must find the base area(pentagon) and multiply it by the figure's height.
Formula for area of a pentagon:-
A = 1/2 x p x a
Where 'p' represents the perimeter, and 'a' represents the apothem.
First, let's figure out the perimeter of the base pentagon.
One side of this pentagon is 10cm, and there are 5 side lengths of 10cm to this pentagon. So it'll result in (5 x 10) = <u>50cm</u> altogether.
The apothem is given, <u>6.9cm</u>.
So, we plug these into our formula:-
A = 1/2 x p x a
A = 1/2 x 50 x 6.9
A = 50/2 x 6.9
A = 25 x 6.9
A = <u>172.5cm</u>, is the area of the pentagon.
Now we find the height of this figure and multiply it by the base area we've found(pentagon).
Our height is 17cm.
172.5(17)
= <u>2,932.5 cubic centimetres</u>, is our volume.
