Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What multiplicative rate of change should Hal use in his function?

Answers

Answer 1
Answer: Answer
The multiplicative rate of change that should be in Hal’s function = 49/50=0.98
                                                                                                                   =9.8
×10⁻¹

Explanation
The investment of $10,000 decreases by 2% every year. So the following year is usually (100 - 2)=98% of the previous year. This is a geometric progression.
In this case the first term = 10000
The second term = 98% × 10000 = 9800.
The common ratio = 9800/10000=49/50
The multiplicative rate of change that should be in Hal’s function =
49/50=0.98.
The equation of the exponential rate would be;
10,000ₓ0.98ⁿ.
where n is the number years.
Answer 2
Answer:

Answer: B

Step-by-step explanation:

0.98

E2020


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For the graph below, what should the domain be so that the function is at least 600? (1 point)graph of y equals minus 2 times the square of x plus 40 times x plus 600


0 ≤ x ≤ 20
−10 ≤ x ≤ 30
x ≥ 0
All real numbers

Answers

Answer: The first interval:0 ≤ x ≤ 20

Procedure

You have to solve this inequality

-2x^2 +40x +600 ≥ 600

-2x^2 +40x  ≥ 0

-x^2+20x ≥ 0

x^2 - 20 x ≤ 0

x(x-20) ≤ 0

That is only possible if the two factors have different signs.

Let's examine the possibilities

       x ≥ 0 and x -20 ≤ 0⇔x≤20, that is 0≤x≤20

The other possibility is

       x ≤ 0 and x - 20 ≥ 0 ⇔x≥20. This conditions is not possible.

So the solution is 0≤x≤20

Which interval contains a local minimum for the graphed function?

Answers


The question would be SO much easier to answer if we could
SEE the graphed function, or even just its equation.

Which expression is equivalent to -14-(-2)?
14-2
O 14+2
0 -14+2
14-2

Answers

Answer:

-14 +2

Step-by-step explanation:

because you would do kcc aka keep change change

you would keep -14 change the minus to a addition sign and change the -2 to a positive 2

324 is the same as the sum of 144 and v

Answers

Answer:

v = 180

Step-by-step explanation:

324 = 144 + v

v = 324 - 144

v = 180

Answer:

v = 180

Step-by-step explanation:

The equation is basically 324 = 144 + v

Then you just solve the equation:

324 = 144 + v

-144 = -144

180 = v

Hope this is what you were looking for.

Simplify.
26 + (–3) ∙ (–8)
a. –184
b. –2
c. 2
d. 50

Answers

=>26 + (-3) × (-8)=>26 + 24=>50So the answer is option D (50)....Hope it helps!!!

If f(x) = x²-5x and g(x) = 2x-3, which expression represents the product of these two functions?1) x²-3x-3
2) 2x³-13x²+15x
3) 9x²-15x
4) 2x³-15x

Answers

2).  (x² - 5x) (2x - 3) = 2x³ -13x² + 15x
product=f(x)\cdot g(x)=(x^2-5x)(2x-3)=2x^3-3x^2-10x^2+15x=\n\n=2x^3-13x^2+15x\ \ \ \Rightarrow\ \ \ Ans.\ 2)