3 years ago

Which represents where f(x) = g(x)?

Mathematics

1 answer:

ANEK [815]3 years ago

7 0

Answer:

f(2) = g(2) and f(0) = g(0)

Step-by-step explanation:

When x = x in f(x) and g(x), that means the two functions are equal.

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____ is the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years

ANEK [815]

The formula of the present value of annuity due:
$PV=C*[\frac{1-(1+i)^{-n}}{i}]*(1+i)$

For your case:
C = $3000
i = 12% / 100 = 0.12
n = 3 * 2 = 6 (semiannually for 3 years means 6 payments)

So, the solution is:
$PV=3000*[\frac{1-(1+0.12)^{-6}}{0.12}]*(1+0.12)=3000*[\frac{1-0.5066}{0.12}]*1.12=$
$=3000*[\frac{1-0.5066}{0.12}]*1.12=3000*4.1114*1.12=13814.32$

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3 years ago

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nikklg [1K]

Answer:

$40.00

Step-by-step explanation:

to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40

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3 years ago

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Which of the following is equivalent to the quadratic equation below after completing the square?

Natalka [10]

X^2 + 4x = 0
x^2 + 4x + 4 = 0 + 4
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3 years ago

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kotegsom [21]

Answer

x=2 and y=2√2

Step-by-step explanation:

$\sin( \alpha ) = \frac{2 \sqrt{2} }{x } \\ x = \frac{2 \sqrt{2} }{ \sin(45) } \\ x = 4 \\ {x}^{2} = {y}^{2} + 2 \sqrt{2} \\ {4}^{2} = {y}^{2} + (2 \sqrt{2 \: )}^{2} \\ 16 = {y}^{2} + 8 \\ 16 - 8 = {y}^{2} \\ y = \sqrt{8} \\ y = 2 \sqrt{2}$

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