Suppose an investment of $3,800 doubles in value every decade. The function f(x) = 3,800 * 2^2 gives the value of the investment after x decades. How much is the investment worth after 2 decades?A. $152,000
B. $15,200
C. $76,000
D. $7,600

Answers

Answer 1
Answer: 3,800 x 4 = 15,200 therefore:
B
Answer 2
Answer: doubles every decade
basically
for x deckades
the amount is multiplied by 2^x
so
2decades
2^2
3800*2^2
3800*4
15200

B is answer

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Ozzie is 6 years older than McKenzie. Theo is Ozzie's dad and is 3 times older than McKenzie. Ozzie is 8 years old. How old is Theo?​

Answers

Answer:

If Ozzie is 8 and 6 years older than McKenzie, then McKenzie is 2 years old. So if Theo is 3 times older than McKenzie, then Theo is 6 years old.

Final answer:

Theo's age is calculated by multiplying McKenzie's age by 3. Given that McKenzie is 2 years old (Ozzie's age minus 6), so Theo is 6 years old.

Explanation:

The problem requires the application of basic arithmetic operations, specifically addition and multiplication, to solve an age problem. We know that Ozzie is 8 years old. Since Ozzie is 6 years older than McKenzie, we subtract 6 from Ozzie's age to get McKenzie's age, which is 2. Theo is 3 times older than McKenzie. Thus, to get Theo's age, we multiply McKenzie's age (2) by 3, which results in 6 years old.

Learn more about Age Problem here:

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Consider f(x)=2|x|What is the rate of change over the interval 0≤x≤4?

How is the rate of change over this interval related to the form of the function?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

As we know that the average rate of change of f(x) in the closed

interval [a, b] is

(f\left(b\right)-f\left(a\right))/(b-a)

Given the interval [a, b] = [0, 4]

as

f(x)=2|x|

f(b)=f(2)=2\cdot \:4       ∵  \mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0

      = 8

   

f(x)=2|x|

f(a)=f(0)=2\cdot \:0       ∵  \mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0

       = 0

so the average rate of change  :

(f\left(b\right)-f\left(a\right))/(b-a)=(8-0)/(4-0)

              =(8)/(4)

               = 2

We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.

A coffee pot makes about 60 ounces of coffee. each of your coffee mugs can hold one cup of liquid. how many mugs can you fill?

Answers

The conversion factor between cup and ounces is that one customary cup contains 8 ounces. The number of mugs (m) that can be filled is the ratio between the available amount of coffee (c) and the volume (v) that the mug can hold. 
                                             m = c / v
                         m = (60 ounces) / (8 ounces / mug) = 7.5 mugs

Thus, you can fill only 7 cups and the 8th cup is only half full. 

Please help !!!!!!!!!!!!-

Answers

3.(4p−2)(p−4)
=(4p+−2)(p+−4)

=(4p)(p)+(4p)(−4)+(−2)(p)+(−2)(−4)

=4p2−16p−2p+8

=4p2−18p+8

Simplified form - 
4p2−18p+8

4.
(2x2+4x−3)(3x+1)

=(2x2+4x+−3)(3x+1)

=(2x2)(3x)+(2x2)(1)+(4x)(3x)+(4x)(1)+(−3)(3x)+(−3)(1)
=6x3+2x2+12x2+4x−9x−3

=6x3+14x2−5x3

Simplified form - 
6x3+14x2−5x3

Please help! 100 points!

Answers

Answer:

D

Step-by-step explanation:

Secant is hypotenuse / adjacent, while cosine is adjacent / hypotenuse. In fact, secant = 1/cosine.

Here, we know that cos(θ) = 2/19, so sec(θ) = 1/(2/19) = 19/2.

The answer is thus D.

Answer:

D

Step-by-step explanation:

sec(theta) = 1/cos(theta)

= 1 ÷ 2/19

= 1 × 19/2

= 19/2

Shaun is 4 years older than her sister Charmaine. If the sum of their ages is 16 how old is Charmaine?A) 4 years old
B) 6 years old
C) 8 years old
D) 10 years old

Answers

Answer:

The answer is B) 6 years

Step-by-step explanation:

First of all, build an equation. With the given problem, you can come up with:

s + c = 16

In which interprets that both their ages summed up are 16. Secondly,:

s = c + 4

After you will use the typical system of equations to solve. So, plug in the second equation to the first, where s will become c + 4, and the equation is now:

c + 4 + c = 16

And finally, solve for Charmaine's age.

2c + 4 = 16

    -4     -4

-----------------

2c = 12

c = 6

Answer:6 years old

Step-by-step explanation: