Solution:
1. Cost of a new Violin that is bought by the musician = $ 2900
Monthly interest charge = 3.35 %
If you will find the compound interest or simple interest for a month, they both will be same for a month.
Simple interest =
Interest paid at the end of first month = $ 97.15
2. Loan Amount = $ 3,500
Annual interest = 8 %
Time period = 2 years= 24 months
As , we have to find the total payback for two years, at 8% annual interest with monthly payments .we will use the formula of Amount in terms of compound interest here.
Formula for Amount
Amount= ![Principal (1 +\frac{Rate}{100})^{time}]](https://tex.z-dn.net/?f=Principal%20%281%20%2B%5Cfrac%7BRate%7D%7B100%7D%29%5E%7Btime%7D%5D)
![=3500 \times [(1+\frac{8}{1200})^{24}]\\\\ = 3500 \times [(1.0066)^{24}]\\\\= 3500 \times 1.1710 \\\\ =4098.58](https://tex.z-dn.net/?f=%3D3500%20%5Ctimes%20%5B%281%2B%5Cfrac%7B8%7D%7B1200%7D%29%5E%7B24%7D%5D%5C%5C%5C%5C%20%3D%203500%20%5Ctimes%20%5B%281.0066%29%5E%7B24%7D%5D%5C%5C%5C%5C%3D%203500%20%5Ctimes%20%201.1710%20%5C%5C%5C%5C%20%3D4098.58)
Total payback after 2 years = $ 4098.58
Product of 4 and a number translates to 4x because the word product means multiplication.
We then need to subtract one from that which would be 4x - 1.
The word is translates to "equals" so 4x - 1 = 11 is the translation of the whole problem.
Now solve that equation.
4x - 1 = 11
1st add +1 +1
2nd simplify 4x = 12
3rd divide. 4 4
x = 3
Answer:
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0
Step-by-step explanation:
According to tangent sub identity
Tan(A+B) = TanA+TanB/1-tanAtanB
Applying this in question
Tan(w+Pi) = tan(w)+tan(pi)/1-tan(w)tan(pi)
According to trig identity, tan(pi) = 0
Substitute
Tan(w+Pi) = tan(w)+0/1-tan(w)(0)
Tan(w+Pi) = tan(w)/1
Tan(w+Pi) = tan(w) (proved!)
Hence the correct option is
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0
Answer:
I think 4
Step-by-step explanation:
Red hat costs $32
black hat costs $8
32 (divided) by 8 is 4
Answer:
final answer is 7
Step-by-step explanation:
mental math that I did fast
