A class quiz has 5 true or false questions the correct answers are t,t,f,f,
1 answer:
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Answer:
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Step-by-step explanation:
Given that M is a polynomial of degree 3.
So, it has three zeros.
Let the polynomial be
M(x) =a(x-p)(x-q)(x-r)
The two zeros of the polynomial are -4 and 4i.
Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.
Then,
M(x)= a{x-(-4)}(x-4i){x-(-4i)}
=a(x+4)(x-4i)(x+4i)
=a(x+4){x²-(4i)²} [ applying the formula (a+b)(a-b)=a²-b²]
=a(x+4)(x²-16i²)
=a(x+4)(x²+16) [∵i² = -1]
=a(x³+4x²+16x+64)
Again given that M(0)= 53.12 . Putting x=0 in the polynomial
53.12 =a(0+4.0+16.0+64)
=0.83
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Money Birute deposited in a savings account = $500
Rate of simple interest per annum = 1.3%
▪︎We need to find the interest she will earn in 4 years.
We know that :
In this case :
Principal = $500
Rate = 1.3%
Time = 4 years
Which means :
The simple interest she will earn in 4 years :
Thus, the simple interest she will earn in 4 years = $26
Amount = Principal + Interest
Amount she will gain after 4 years :
Thus, the amount she will gain after 4 years = $526
Amount change in her account = 526 - 500 = 26
We know that :
Which means :
Percentage of change in her savings account :
▪︎Simple interest after 4 years = $26
▪︎Money she will earn after 4 years = $526
▪︎Percentage of change in her savings account = 5.2%