4 Which value of x makes the equation 0.25(x+40) = 3+0.75(x

VEEL

Andre45 [30]

Answer:

$a_n=-3(3)^{n-1}$ ; {-3,-9, -27,- 81, -243, ...}

$a_n=-3(-3)^{n-1}$ ; {-3, 9,-27, 81, -243, ...}

$a_n=3(\frac{1}{2})^{n-1}$ ; {3, 1.5, 0.75, 0.375, 0.1875, ...}

$a_n=243(\frac{1}{3})^{n-1}$ ; {243, 81, 27, 9, 3, ...}

Step-by-step explanation:

The first explicit equation is

$a_n=-3(3)^{n-1}$

At n=1,

$a_1=-3(3)^{1-1}=-3$

At n=2,

$a_2=-3(3)^{2-1}=-9$

At n=3,

$a_3=-3(3)^{3-1}=-27$

Therefore, the geometric sequence is {-3,-9, -27,- 81, -243, ...}.

The second explicit equation is

$a_n=-3(-3)^{n-1}$

At n=1,

$a_1=-3(-3)^{1-1}=-3$

At n=2,

$a_2=-3(-3)^{2-1}=9$

At n=3,

$a_3=-3(-3)^{3-1}=-27$

Therefore, the geometric sequence is {-3, 9,-27, 81, -243, ...}.

The third explicit equation is

$a_n=3(\frac{1}{2})^{n-1}$

At n=1,

$a_1=3(\frac{1}{2})^{1-1}=3$

At n=2,

$a_2=3(\frac{1}{2})^{2-1}=1.5$

At n=3,

$a_3=3(\frac{1}{2})^{3-1}=0.75$

Therefore, the geometric sequence is {3, 1.5, 0.75, 0.375, 0.1875, ...}.

The fourth explicit equation is

$a_n=243(\frac{1}{3})^{n-1}$

At n=1,

$a_1=243(\frac{1}{3})^{1-1}=243$

At n=2,

$a_2=243(\frac{1}{3})^{2-1}=81$

At n=3,

$a_3=243(\frac{1}{3})^{3-1}=27$

Therefore, the geometric sequence is {243, 81, 27, 9, 3, ...}.

6 0

3 years ago

Terry deposits a principal amount of $500 in a savings account that earns an annual rate of a simple interest. if he makes no d

Artist 52 [7]

Answer

$540

Step-by-step explanation:

hopes this helps

8 0

2 years ago

Answer what you can please!

Fed [463]

Answer:

Something's Fishy:

Domain = Time

Range = Gallons of water remaining.

Smart Phone, but is it a Smart Deal?

Domain = Weeks passing

Range = Interest ($)!!!!

Step-by-step explanation:

Something's Fishy:

First and foremost, Candice, very gently, removes the fish from the tank and places them into a clean, healthy, temporary environment.

AKA Candice glances to check if the coast is clear before chucking the fish into the nearest toilet as fast as possible. (Stop laughing, Fish deserve equal rights too [no, but really]).

Candice then begins to empty the tank, draining 10 gallons per minute.

Again, if you know anything of physics or mathmatical graph placement, the TIME variable will 9.99999999/10x be the independent variable, this won't change. Make it a rule of thumb, get the sharpie-tat, do whatever you need to do to remember it.

From a literal perspective, we can see that the water is draining at a constant rate. The rate isn't changing, but something IS. That "something" is the water remaining IN the tank per periodic interval.

Time is independent.

Puny water is dependent and inferior.

The fish are depending upon the hope that the one gassy guy from IT doesn't get to the toilet before Candice comes back.

The fate of the fish are dependent upon hoping the guy from IT doesn't have beans and cheese for lunch. (Remember Pompeii?! Anyone? Imagine Pompeii in a 2x2 ceramic & plastic can now :). You're welcome!)

End of story.

Smart Phone, but is it a smart deal?

Your cousin is ripping you off. He knows it, his momma knows it, and the dog knows that it's hungry, and it will definitely eat the phone. Yeah, the dog knows it too.

Every week that passes, cuzzo gets double the cash from you to pocket. It's all fun and games until 30 weeks have passed and you're two-feet in the grave of debt, because you always chose McDonalds over settling debts.

Because CUZZO (that conniving worm) knew that your INTEREST was dependent upon the number of weeks it'd take you to pay cuzzo his cash back.

Hope this helps!!

(No fish were harmed in the making of this post)

8 0

3 years ago

Which is the slope of the line that passes through the points (4,2) and (6, 7). plzzzzz help

Jlenok [28]

where are the pictures lol

7 0

2 years ago

Estimate the value of √2π/√5

Luba_88 [7]

Answer: 1.12099824328 or estimated is 1

6 0

3 years ago

4 Which value of x makes the equation 0.25(x+40) = 3+0.75(x - 4) true?