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3 years ago

A savings account with simple interest can be modeled by which type of graph?

Mathematics

2 answers:

faust18 [17]3 years ago

7 0

Answer:

The simple interest can be modeled by a linear function.

Step-by-step explanation:

We know that,

The equation to find the simple interest is, $I=Prt$ ,

where I = simple interest, P = Principle amount, r = rate of interest and t = amount of time.

Now, while calculating the simple interest, 'time is usually a variable term'.

So, $I=Prt$ implies $I=kt$ , where $k=Pr$ is a constant.

Thus, the equation $I=kt$ represents a linear function.

Hence, the simple interest can be modeled by a linear function.

Alecsey [184]3 years ago

4 0

For simple interest, it could be represented by a straight line

$I=(P.r)*t$

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If a polynomial function f(x) has roots 3+Sqrt(5) and -6, what must be a factor of f(x)

neonofarm [45]

Answer:

The two factors of the given polynomial f(x) are (x - 3 -√5) and (x +6) .

Step-by-step explanation:

Here, the roots of the given polynomial f(x) are

Root 1 = 3 + √5

and Root 2 = (-6)

Now,as we know that if x = a is the root of the any given polynomial p(x), then the expression (x-a) is the FACTOR of the polynomial p(x).

Now, here root 1 : x = 3 + √5

So, x - (3 + √5 ) is the FACTOR of the f(x)

or, ( x - 3 -√5) is the first factor of f(x).

Also, here root 2 : x = (-6)

So, x - (-6 ) = x + 6 is the FACTOR of the f(x)

or, ( x +6 ) is the second factor of f(x).

Hence, the two factors of the given polynomial f(x)

are ( x - 3 -√5) and ( x +6 ) .

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4 years ago

Determine two numbers that have a sum of 12 but a difference of 12

sveta [45]

Answer:

0 And 12

Step-by-step explanation:

0 + 12 = 12

But 0 is 12 away from 12. hope i helped :)

6 0

3 years ago

Read 2 more answers

There’s a picture so I don’t have to type out the question

sineoko [7]

Answer:

Attached

Step-by-step explanation:

The function given is

f(x)=x³+x²+x+1

You can use a graph tool to visaulize the graph as attached

6 0

3 years ago

I need help to solve this question

Firlakuza [10]

sub x=1, a(1)^2 +b(1) + c=0,

a+b+c=0______eqn 1

sub x=-1, a(-1)^2+b(-1)+c=2

a-b+c=2_______eqn 2

sub x=2, a(2)^2+b(2)+c=8

4a+2b+c=8______eqn 3

from eqn 1

c=-a-b

eqn2

a-b-a-b=2

-2b=2

b=-1

eqn3

4a + 2b -a-b=8

3a+b=8

3a+(-1)=8

3a-1=8

3a=9

a=3

c=-a-b

c=-3--1

c=-2

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3 years ago

Solve 9x^2 + 42x + 49 = 0

svet-max [94.6K]

Because of the relatively large coefficients {9, 42, 49}, applying the quadratic formula would be a bit messy. Instead, I've chosen to "complete the square:"

9x^2 + 42x + 49 = 0 can be re-written as 9 [ x^2 + (42/9)x ] = -49

Dividing both sides by 9, we get [ x^2 + (42/9)x ] = - 49/9

Completing the square: [ x^2 + (42/9)x + (21/9)^2 - (21/9)^2 ] = -49/9

[ x + 21/9 ]^2 = 441/81 - 441/81 = 0

Then [ x + 21/9 ] = 0, and x = -21/9 (this is a double root).

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3 years ago