Answer:
$4.081
Step-by-step explanation:
We have been given that Melissa owns a credit card with a 8.9% APR. The balance after her last billing cycle was $550.
First of all, we will find period rate by dividing APR by 12 as 1 years equals 12 months.

The finance charge would be 0.74166% of $550.

Therefore, the finance charge would be $4.081.
Answer:
7a²/16
Step-by-step explanation:
Area of the triangle PTS
½ × a × a
a²/2
Length of PS:
sqrt(a² + a²)
asqrt(2)
Length of MS:
¼asqrt(2)
Triangles MCS and TPS are similar
With sides in the ratio:
¼asqrt(2) : a
sqrt(2)/4 : 1
Area of triangle SMC:
A/(a²/2) = [(sqrt(2)/4)]²
2A/a² = 1/8
A = a²/16
Area of PTMC
= a²/2 - a²/16
= 7a²/16
Step-by-step explanation:
Answer:
(a) 
(b) 100
Step-by-step explanation:
Solving (a):
Given
Shape: Rectangle

Required
Calculate the perimeter.
Area is calculated as:

Where
and 
Substitute 64.8 for Area

Make L the subject:

Perimeter is calculated as:

Substitute 64.8/W for L


To solve further, we take the derivative of P and set it to 0, afterwards.

Set to 0

Collect Like Terms

Cross Multiply:

Divide through by 2

Take square roots


Recall that:

So:


The perimeter is:



Solving (b):
Given
((1 Group of 10 tenths) and (1 group of 8 tenths))/(6 groups of 3 tenths)
Required
Solve

So, the expression becomes:
((1 Group of
) and (1 group of
))/(6 groups of
)
This gives:
((1 Group of
) and (1 group of
))/(6 groups of
)
Group means product, so the expression becomes:

And, as used here means addition

Simplify:




Given:
Total number of girls in her class = 16
Total number of boys in her class = 14
To find:
The number of different ways of choosing one girl and one boy.
Solution:
We have,
Total number of girls = 16
Total number of boys = 14
So,
Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
Now, number of different ways of choosing one girl and one boy is

Therefore, the required number of different ways is 224.
Hope this is what you were looking for:)