Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?a. $6,075
b. $6,118
c. $6,456
d. $6,778

Answers

Answer 1
Answer:

The approximate value of the account after 2.5 years is $6778.

Compound interest

The compound interest is given by:

A = P(1 + r)^t

where P is the initial amount, r is the interest rate, t is the period and A is the final amount.

Given that:

r = 5% = 0.05, P = $6000, t = 2.5 years, hence:

A = 6000(1 + 0.05) ^ 2.5 = $6778

The approximate value of the account after 2.5 years is $6778.

Find out more on Compound interest at: brainly.com/question/24924853

Answer 2
Answer: Given:
Principal = 6,000
interest rate = 5%
term = 2.5 years

A = P (1+r)^t
A = 6,000 (1 + 0.05)².⁵
A = 6,000 (1.05)².⁵
A = 6,000 (1.1297)
A = 6,778.20 Choice D.


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Find Domain of the function

square root of (x-8)/x(x-9)

Answers

Domain of your function is D = (0,8]U(9, +oo).

Yo sup??

Domain refers to the permissible values of x

since the given function won't be defined at x=0 and x=9

Also the value of the given function should be greater than 0 or else the square root function won't be defined

therefore the domain of the function is :

R+-{0,9}

Hope this helps.

Let f(x) = -2x^2 and g(x) = 2x - 4. On the set of axes, draw the graphs of y = f(x) andy = g(x).
Using this graph, determine and state all values of x for which f(x) = g(x).

Answers

f(x) = -2x²
g(x) = 2x - 4

                              f(x) = g(x)
                             -2x² = 2x - 4
                       -2x² - 2x = 2x - 2x - 4
                 -2x² - 2x + 4 = -4 + 4
                 -2x² - 2x + 4 = 0
       -2(x²) - 2(x) - 2(-2) = 0
                 -2(x² - x - 2) = 0
                          -2         -2
                      x² - x - 2 = 0
              x² + 2x - x - 2 = 0
x(x) + x(2) - 1(x) - 1(2) = 0
        x(x + 2) - 1(x + 2) = 0
                (x - 1)(x + 2) = 0
   x - 1 = 0    or    x + 2 = 0
     + 1 + 1              -  2 -  2
         x = 1      or       x = -2          
                             f(x) = g(x)
                            -2x² = 2x - 4
                        -2(-2)² = 2(-2) - 4
                           -2(4) = -4 - 4
                                -8 = -8
                                   or
                              f(x) = g(x)
                             -2x² = 2x - 4
                          -2(1)² = 2(1) - 4 
                                -2 = 2 - 4
                                -2 = -2

Solution Sets: {(-2, -8), (1, -2)}

Two and ninety-six hundreths in decimal form

Answers

Answer: Two and ninety-six hundredths in decimal form would be 2.96!

Step-by-step explanation:

Which reason completes the proof in the picture A.alternate interior angles converse
B.opposite sides of a parallelogram are congruent
C.opposite angles of a parallelogram are congruent
D.alternate interior angles theorem

Answers

C. Opposite angles of a parallelogram are congruent.

Angle 1 is congruent to angle 2 because they are opposite angles of the larger parallelogram. Angle 2 is congruent to angle 3 because they are opposite angles of the smaller parallelogram.

What is the value of...?

Answers

Answer:

Step-by-step explanation:

I'm not sure I know exactly what that [1] means.

But here's how you get the answer

g(x) = 3x + 12

The symbolism means that wherever you see an x on the right side of g(x) you put f(x)

So it looks like this

g(f(x) ) = 3(f(x)) + 12 Now you put f(x) = 2x + 7 in for f(x) on the right.

g(f(x)) = 3(2x + 7) + 12    Remove the brackets

g(f(x)) = 6x + 21 + 12

g(f(x)) = 6x + 33

Now you deal with the x on the left. It becomes - 6

g(f(-6)) = 6(-6) + 33

g(f(-6)) = -36 + 33

g(f(-6)) = - 3

Rule 1

(g · f)(x)

has the meaning of whatever the function on the left is (in this case g) then the function of f is put in the xs place.

HELP PLEASE!!!!! ASAP!!!! 20 POINTS!!!!!

Answers

Answer:wg

Step-by-step explanation:

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