Answer:
Interest rate, R = 244%
Step-by-step explanation:
Given the following data;
Principal = $270
Simple interest = future amount - principal = 309.60 - 270 = $39.60
Time = 22/360 = 0.06 years
To find the interest rate?
Mathematically, simple interest is calculated using this formula;
Where;
Substituting into the equation, we have;
Cross-multiplying, we have;
<em>Interest rate, R = 244.44 ≈ 244%</em>
<em>Therefore, the pawnbroker charged Elisa a simple interest rate of 244%.</em>
The greatest common factor (GCF) of 24, 44, and 52 is: 4
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 44: 1, 2, 4, 11, 22
Factors of 52: 1, 2, 4, 13
The common factors between them are 1, 2, and 4, but 4 is the greatest, making it the GCF.
After 1 year it is worth 108% of its original value
108% = 1.08
so 1.08 x 1000 = $1080
After 2nd year it is worth 92% of that $1080
92% = 0.92
so 0.92 x 1080 = $993.60
Answer:
$45
Step-by-step explanation:
Here we need to calculate the income of this year.
We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:
51 * $615 = $31,365
So, our surplus will be our income minus our expenses:
Surplus = $31,365 - $31,320 = $45
Our cash surplus is $45
4 (e)
sin^8 x - cos^8 x
= (sin^4 x + cos^4 x)(sin^4 x - cos^4 x)
= (sin^4 x + cos^4 x)(sin^2 x - cos^2x)(sin^2 x +cos^2 x)
= (sin^4x + cos^4 x)( sin^2 x- cos^2 x)
Sorry I cant do 4 (d).
