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Yakvenalex [24]
3 years ago
14

If you deposit $1,000 ir an account that pays 6% annual interest compounded continuously, what will the balance be after five ye

ars?
Mathematics
1 answer:
alexira [117]3 years ago
7 0

Answer:

If you know 6% of 1000 is 60 so each year 60 will add so 60x5 is 300 so you will earn 300 in 5 years.

Step-by-step explanation:

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Which of the following statements is true?
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3 years ago
Write a polynomial function f of the least degree that has rational coefficients,
mina [271]

Answer:

f(x)=x^4+15x^2-16

Step-by-step explanation:

It is given that the leading coefficient of the polynomial is 1.

We need to find a polynomial function f of the least degree.

If c is a root of a polynomial then (x-c) is a factor of the polynomial.

The given zeros are -1, 1, -4i, 4i. So,

f(x)=(x-1)(x+1)(x+4i)(x-4i)

f(x)=(x^2-1^2)(x^2-(4i)^2)

f(x)=(x^2-1)(x^2+16)      [\because i^2=-1]

f(x)=x^2(x^2+16)-1(x^2+16)  

f(x)=x^4+16x^2-x^2-16  

f(x)=x^4+15x^2-16  

Therefore, the required polynomial is f(x)=x^4+15x^2-16 .

4 0
3 years ago
Evaluate the discriminant of -3x2+5-4=0
krok68 [10]

Answer:

-23

Step-by-step explanation:

A quadratic equation is given to us and we are interested in finding the discriminant of the quadratic equation . As we know that ,

If the quadratic equation is in Standard form ,

\sf\longrightarrow ax^2+bx + c = 0

The discriminant is ,

\sf\longrightarrow D = b^2-4ac

The given quadratic equation is ,

\sf\longrightarrow -3x^2 +5x - 4 = 0

On comparing it with the Standard form , we have ,

  • a = (-3)
  • b = 5
  • c = (-4)

So that ,

\sf\longrightarrow D = (5)^2 - 4(-3)(-4)\\

\sf\longrightarrow D = 25 - 48\\

\sf\longrightarrow \bf D = -23

Also note that if D < 0 , then the roots are complex conjugates .

<h3>Hence the discriminant is (-23).</h3>

5 0
2 years ago
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