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3 years ago

Please show ALL YOUR WORK and how u came to the conclusion.

Mathematics

1 answer:

hichkok12 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

clearly, the equation has to allow t=0, and for that point we need to get 100% (of carbon-14) as result.

and so we also see, that the function calculates the % of the remaining carbon-14.

so, we need the desired outcome 60(%),

because 60 = 100 - 40.

and again, we need a function that shows t=0.

the only answer option fulfilling both criteria is A.

B divides in the exponent by t, so t=0 is not in the domain of the function.

and C and D aim for the wrong remaining percentage.

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Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.

GREYUIT [131]

$a_1=3$
$a_2=-4a_1$
$a_3=-4a_2=(-4)^2a_1$
$\cdots$
$a_6=-4a_5=\cdots=(-4)^5a_1$

$\implies a_6=(-4)^5\cdot3=-3072$

6 0

3 years ago

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years. With all else equal, what is th

irga5000 [103]

Answer:

The future value of this initial investment after the six year period is $2611.6552

Step-by-step explanation:

Consider the provided information.

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.

Future value of an investment: $FV=P(1+r)^n$

Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.

9% compounded semiannually for 6 years.

Therefore, the value of r is: $r=\frac{0.09}{2}=0.045$

Number of periods are: 2 × 6 = 12

Now substitute the respective values in the above formula.

$FV=1540(1+0.045)^{12}$

$FV=1540(1.045)^{12}$

$FV=1540(1.69588)$

$FV=2611.6552$

Hence, the future value of this initial investment after the six year period is $2611.6552

6 0

3 years ago

Use the difference of squares identity to write this polynomial expression in factored form: 9x2 − 49.

qwelly [4]

9x^2-49
It equals:
(3x+7)(3x−7)
Hope this helps!

7 0

3 years ago

Read 2 more answers

A recipe for 3 cups of snack mix calls for 1··2cup of pretzels. You can describe this as 3 cups of snack mix for every 1··2cup o

lukranit [14]

Answer:

i do not know

Step-by-step explanation:

5 0

3 years ago

Evaluate:-|137|+|13|

pychu [463]

Answer:

The answer is 150

Step-by-step explanation:

I think what you mean with the numbers between the "I's" is absolute value. Any number is just that number, so the absolute value of -6, is 6. The absolute value of 24 is 24. That means it's simply 137+13, which is 150.

5 0

3 years ago