MATHEMATICS HIGH SCHOOL

If $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in 3 years?

Answers

Answer 1

Answer:

Answer:

$\$584.88$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^(rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=3\ years\n P=\$396\n r=0.13$

substitute in the formula above

$A=\$396(e)^(0.13*3)=\$584.88$

Answer 2

Answer: so
396*0.13=51.48
51.48*3=154.44x100
154.44 divided by 100 100% because % so u need to put100%
154.44/100=1.5444
so the answer is 1.5444

hope it's the best answer

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Solve for all possible values of x. square root of the quantity x minus 9 end quantity plus 4 equals 8

a) x = −5
b) x = 7
c) x = 13
d)x = 25

Answers

Answer:

Option d) x = 25

Step-by-step explanation:

we have

$√(x-9)+4=8$

Solve for x

Subtract 4 both sides

$√(x-9)+4-4=8-4$

$√(x-9)=4$

squared both sides

$(x-9)=(+/-)4^2$

$(x-9)=(+/-)16$

Adds 9 both sides

$x=9(+/-)16$

$x1=9(+)16=25$

$x2=9(-)16=-7$

Verify

1) For x=25

$√(25-9)=4$

$√(16)=4$

$4=4$ ----> is true

therefore

x=25 is a solution

2) For x=-7

$√(-7-9)=4$

$√(-16)=4$

The radicand cannot be a negative number

therefore

x=-7 is not a solution

Solve the following system of equations.-2x + y = 1
-4x + y = -1

A) (3,1)
B) (-1,3)
C) (-1,-3)
D) (1,3)

Answers

Hi Brainiac

-2x+y=1

-4x+y=-1

We need to solve -2x+y=1 for y

Now let's start by adding 2x to both sides

-2x+y+2x=1+2xy=2x+1

Substitute 2x+1 for y in -4x+y=-1

-4x+y=-1

-4x+2x+1=-1

-2x+1=-1

Add -1 to both sides

-2x+1-1=-1-1

-2x=-2

Now divide both sides by -2 so we can fine the value for x

-2x/-2= -2/-2

x=1

The last step is to substitute 1 for x in y=2x+1

y=2x+1

y=(2)(1)+1

y= 2+1

y= 3

Answer : D , (1,3)

Good night :)

solve the equation in factoral form

(x+3)(x-2/5=0

Answers

$(x+3)(x-(2 )/(5))=0 \n \nx+3 =0 \ \ \vee \ \ x-(2)/(5)=0\n \nx = -3 \ \ \vee \ \ x=(2)/(5)$

Which of the following expressions shows the expression 1/2x+3−2/5x+1 in simplest form?

Answers

Hey there!

1/2x + 3 - 2/5x + 1

COMBINE the LIKE TERMS

= (1/2x - 2/5x) + (3 + 1)

1/2x - 2/5x = 1/10x

3 + 1 = 4

= 1/10x + 4

Therefore, your answer is: 1/10x + 4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

$\huge\boxed{(1)/(2)x+3-(2)/(5)x+1=(1)/(10)x+4}$

Step-by-step explanation:

$(1)/(2)x+3-(2)/(5)x+1\n\n=\left((1)/(2)x-(2)/(5)x\right)+(3+1)\n\n=\left((1\cdot5)/(2\cdot5)x-(2\cdot2)/(5\cdot2)x\right)+4\n\n=\left((5)/(10)x-(4)/(10)x\right)+4\n\n=(1)/(10)x+4$

How do I do this O-O

Answers

Answer:

1) x intercept-> 24

y intercept-> -6

2) slope-> 1/4x

3) i posted the screenshot in the description

4) -20 cups- -1 dollar

(20*.25)-6

-30 cups- 1.5

-40 cups- 4 dollars

5)- $1 -> 4

$10->40

$100-> 400

Step-by-step explanation:

hope this helps!

factor completely:

4x^3 - 36x

Answers

You would take out a 4x out of both terms because this is a common factor
4x^3-36x
4x(x^2-9)
and then you would notice that (x^2-9) is a difference of squares, so that factors out too
4x(x-3)(x+3)
that is all you can factor! hope this helps

the factor of this is 4x(x^2-9)
then x^2-9 can be factored using sum and difference.
4x(x+3)(x-3)

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