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3 years ago

4) If Scott Corbett invests $5,000 at 6% compounded quarterly, how long will it be before

Mathematics

1 answer:

serious [3.7K]3 years ago

8 0

His investment will reach 14,100 after 47 quarters or 11 years and 9 months

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WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLEASE HELP ME!

Bogdan [553]

Answer:

-4 and 4

Step-by-step explanation:

Method 1

Apply Difference of Two Squares Formula: $a^2-b^2=(a+b)(a-b)$

Given $x^2-16=0$

Rewrite 16 as 4²

Therefore, $a^2=x^2$ and $b^2=4^2$

$\implies a = \sqrt{x^2}=x$

$\implies b=\sqrt{4^2} =4$

$\implies x^2-16^2=(x+4)(x-4)$

$\implies (x+4)(x-4)=0$

$\implies (x+4)=0 \implies x=-4$

$\implies (x-4)=0 \implies x=4$

Method 2

Given equation:

$x^2-16=0$

Add 16 to both sides:

$\implies x^2-16+16=0 + 16$

$\implies x^2=16$

Square root both sides:

$\implies \sqrt{x^2}=\sqrt{16}$

$\implies x=\pm4$

Therefore, x = -4, x = 4

6 0

2 years ago

The area beyond ± 2 standard deviations contains approximately what % of the area under the normal curve?

irakobra [83]

A. 99%
Enjoy the holidays :)

7 0

3 years ago

Did any of you army's go to the BTS concert, because I sadly didn't get to go.

kakasveta [241]

Answer:

No I didn't go

Step-by-step explanation:

5 0

2 years ago

Jamie has 7/10 of a pound of chicken to cook for dinner if she's going to split the chicken between three people how much chicke

Fed [463]

7/30 pound of chicken. Since 7 is not divisible by 3, you will have to express 7/10 as 21/30 as 21 is divisible by 3.
21/30 divided by 3 people is 7/30
Thus each person gets 7/30 pounds of chicken

3 0

3 years ago

X2 + 45x = -200 Using the quadratic formual and the discirimnat

dybincka [34]

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

$b^{2}-4ac$

Every quadratic formula has the structure:

$ax^{2} +bx+c=0$

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

$x^{2} +45x+200=0$

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

$(45)^{2} -4(1)(200)$

Solve:

$2025-800=1225$

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

$x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}$