Answer:
The correct answer is option D: 
Step-by-step explanation:
Given:
log(y)= 3.994
Solution:
A logarithm base b of a positive number x satisfies the following definition:

For 
Also if no base b is indicated, the base of the logarithm is assumed to be 10
.
Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10
now

Then

In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula:

where

is the monthly payment

is the amount

is the interest rate in decimal form

is the number years
First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:

We also know from our question that

and

, so lets replace those values into our formula to find the monthly payment:


We can conclude that the monthly payment during the initial period is $1071.58<span />
Answer:
The result after partial products of 89 x 38 is 3382
Step-by-step explanation:
We need to solve 89 x 38 using partial products.
In Partial products we divide each term such that 89 can be written as 80 and 9 while 38 can be written as 30 and 8
We will multiply each term with other and then find their sum.
Multiplication is shown in figure attached.
Now adding the results of each cell in the table:
2400+640+270+72= 3382
So, the result after partial products of 89 x 38 is 3382.
Learn More:
You can learn more about partial products at:
brainly.com/question/10666510
brainly.com/question/4282963
brainly.com/question/13174282
Keywords: Partial products, product
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Solving the complex number, we get the value of the missing value that is ‘a’ = -6
We have been given the expression as
|a – i| = √37 (1)
Which is an expression of complex number. The general expression of complex number is given as
z = x + iy
where x is the real part and iy is the imaginary part
To find the modulus value, the formula is given by,
|z| = |x + iy|
|z| = √[(real part)2 + (imaginary part)2]
|z| = √(x2 + y2)
According to the question, |z| = √37 (2)
Equating equation (1) and (2), we get
√(a2 + 1) = √37
(a2 + 1) = 37
a2 = 37 – 1
a2 = 36
a = √36
a = ±6
Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.
Hence the value will be negative. Therefore, the missing value will be -6.
Learn more about complex number here : brainly.com/question/5564133
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I don't know what you have to do but I'm trying to do my first answer srry