What is the value of term a^4?

Mathematics

1 answer:

klasskru [66]3 years ago

8 0

Answer:

Step-by-step explanation:

$\text{We have the recursive formula of a series:}\\\\a_1=5\\a_n=3a_{n-1}\\\\a_2=3a_{2-1}=3a_1\to a_2=3(5)=15\\\\a_3=3a_{3-2}=3a_2\to a_3=3(15)=45\\\\a_4=3a_{4-1}=3a_3\to a_4=3(45)=135$

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Velida took out a 5/1 variable-rate mortgage for $150,000. The interest rate

Afina-wow [57]

Answer:

Step-by-step explanation:

The amortization period in months is:

30 years * 12 = 360 months

The monthly interest rate would be 5.25%/12 = 0.004375

The payment for monthly mortgage formula would be:

$E=\frac{C*r}{1-(1+r)^{-n}}$

Where

E is the monthly mortgage payment

C is the cost of mortgage, cost is $150,000

r is the monthly rate of interest, which is 0.004375

n is the period, in months, which is 360

Substituting, we get our answer:

$E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31$