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3 years ago

11

Find the present value of the annuity.

1 answer:

shusha [124]3 years ago

6 0

Pv=4,725×((1−(1+0.10÷2)^(−2
×15))÷(0.10÷2))=72,634.83

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(WILL GIVE BRAINLIEST) Which of the following exponential functions goes through the points (1, 6) and (2, 12)?

olganol [36]

Answer:

$\boxed{a. \: f(x) = 3(2)x} \: is \: correct$

Step-by-step explanation:

$if \: the \: points \: are \: (1, 6) \: and \: (2, 12) \to \\ then \to \\ m = \frac{12 - 6}{2 - 1} = \frac{6}{1} \\ \boxed{m = 6} \\ y - 6 = m(x - 1) \\ y = 6x - 6 + 6 \\ y = 6x = (3)(2)x \\ but \: y = f(x) \to \: hence \to \\ \boxed{ f(x) = 3(2)x}$

4 0

3 years ago

15 point question. please help

uysha [10]

(2,3) , (0,-3) , (-2,1) are the points.
Hope this helps... Let me know if you wanna know anything.

5 0

3 years ago

Factorize this expression completely <br>using (a-b)² formula<br>3a²- 36a + 108

Novosadov [1.4K]

Answer:

$3a^2 - 36a + 108 = (\sqrt{3}a - 6\sqrt{3} )^2$

Step-by-step explanation:

$3a^2 = (\sqrt{3} a)^2\\108 = 9 \times 4 \times 3= 3^2 \times 2^2 \times 3 = (3\times2 \sqrt{3} )^2 = (6\sqrt{3})^2$

$so, a = \sqrt{3} a \ , \ b = 6\sqrt{3} \\\\(a - b)^2 = a^2 -2ab + b^2\\\\-36a = -2ab\\\\-36a = -2 \times \sqrt{3} a \times 6\sqrt{3}$

Therefore ,

$3a^2 - 36a + 108 = (\sqrt{3}a )^2 - 2(\sqrt{3}a \times 6\sqrt{3} ) + (6\sqrt{3} )^2 = (\sqrt{3}a - 6\sqrt{3} )^2$

6 0

3 years ago

Convert each mixed number to an improper fraction

Pani-rosa [81]

Answer:

43/8

Step-by-step explanation:

5 x 8 = 40

40 + 3 =43

6 0

3 years ago

Vincent needs 20 inches of wood to makeOne shelf. How many feet of wood does Vincent need to make 6 shelves

butalik [34]

Answer:

10 feet

Step-by-step explanation:

Multiply 20 by 6 which will give the answer 120 (in inches).
Then convert 120(inches) to feet by dividing with 12.
The answer will be 10(feet) needed for six shelves.

20x6= 120

120/12=10

=10 ft

6 0

3 years ago