Understand Subtraction with Integers - Instruction

Given the functions f(n) = 500 and g(n) = (nine tenths)n − 1, combine them to create a geometric sequence, an, and solve for the

masya89 [10]

Answer:

$A(n) = 500 * (\frac{9}{10})^{n-1$

$A(11) = 174.34$

Step-by-step explanation:

Given

$f(n) = 500$

$g(n) = (\frac{9}{10})^{n-1$

Represent the combination of f(n) and g(n) with A(n)

So, we have:

$A(n) = f(n) * g(n)$

This gives:

$A(n) = 500 * (\frac{9}{10})^{n-1$

To calculate the 11th term, we make use of n = 11

$A(11) = 500 * (\frac{9}{10})^{11-1$

$A(11) = 500 * (\frac{9}{10})^{10$

This gives:

$A(11) = 500 * (0.9)^{10}$

$A(11) = 500 * 0.3486784401$

$A(11) = 174.33922005$

Approximate to 2 dp

$A(11) = 174.34$

3 0

3 years ago

If t varies inversely as a and t= 2 when a = -4, what is t when a = 1/3?

bezimeni [28]

Answer:

t = - 24

Step-by-step explanation:

Given t varies inversely as a then the equation relating them is

t = $\frac{k}{a}$ ← k is the constant of variation

To find k use the condition t = 2 when a = - 4

2 = $\frac{k}{-4}$ ( multiply both sides by - 4 )

- 8 = k

t = $\frac{-8}{a}$ ← equation of variation

When a = $\frac{1}{3}$ , then

t = $\frac{-8}{\frac{1}{3} }$ = - 24

5 0

3 years ago

I'm in 8th grade and I have no idea what positive-negative square roots are! We have a test soon and I need someone to explain t

Alexxx [7]

OK. Here we go:

What is the square root of 9 ?

You would say that 3 is, and you're correct.
But that's NOT the only one there is !

What about -3 ?

What do you get when you multiply (-3) times (-3) ?

(Remember that when the signs of both numbers are the same,
the answer is positive.)

(-3) times (-3) = 9

So -3 is also the square root of 9 .

That's right . . . every number has two square roots. They're both the
same number, but one is positive, and one is negative. When you
multiply either one of them by itself, you get the original number.

Another way to say the same thing is:
Every number has one positive square root and one negative square root,
and except for the signs, they're both the same number.

6 0

3 years ago

PLEASE ANSWER IT CORRECTLY

anygoal [31]

As for no. 2 is 5.6 ft.

4 0

3 years ago

Elena and Jada are 25 miles apart when they start moving toward each other. Elena runs at a constant speed of 6 mph and Jada wal

Setler [38]

Answer:

The Time taken by Elena and Jade to meet up is 2.5 hours

Explanation:

Given,

Elena moves with a speed of 6mph while Jada walks at a speed of 4 mph

Also, Distance can be calculated by the formula

$Distance = Speed * Time$

To find out the Total speed, i.e., speed of both Elena and Jada as both of them are walking in opposite direction we should add the speed of both the persons, if in same direction we should subtract the values

Here it will be: $6 + 4$ = 10mph

Distance apart is given as 25 miles. Substituting the values,

$Distance = Speed * Time$

25 = $10 * time$

Time = 25/10

Time = 2.5 hour

Hence, It will take 2.5 hours to meet up.

3 0

4 years ago

Understand Subtraction with Integers - Instruction - Level G