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3 years ago

36= 2² x 3² how do i get the number to my prime factor

Mathematics

2 answers:

mojhsa [17]3 years ago

5 0

Answer:

add up the exponents on each prime number

Step-by-step explanation:

2^2= 2x2

3^2=3x3

so 36=2^2x3^2=2x2x3x3

Anni [7]3 years ago

4 0

Answer:

Step-by-step explanation:

| \

18 2

| \

9 2

| \

3 3

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Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:

Amiraneli [1.4K]

Answer:

See below

Step-by-step explanation:

Given:

Investment P = $20000
Time t = 7 years
Interest rate r = 5.5% = 0.055

a. compounded semiannually, n = 2

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88$

b. compounded quarterly, n = 4

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30$

c. compounded monthly, n = 12

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44$

d. compounded continuously

$A = Pe^{rt}=20000*e^{0.055*7}=29392.29$

5 0

2 years ago

Read 2 more answers

The length of a rectangle is 7 more than the width the area is 744 square centimeters find length and width of rectangle

andrezito [222]

Answer:

$l=31\ cm\\\\w=24\ cm$

Step-by-step explanation:

The formula that is used to calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

You know that the area of that rectangle is:

$A=744\ cm^2$

And, according to the exercise, its lenght is 7 more than its width; then:

$l=w+7$

Then, you can make the corresponding substitution into the formula $A=lw$ :

$744=(w+7)w$

Simplify:

$744=w^2+7w\\\\w^2+7w-744=0$

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.

Then, you get:

$(w-24)(w+31)=0\\\\w_1=24\\\\w_2=-31$

The width of the rectangle is the positive value:

$w=24\ cm$

Then, the lenght is:

$l=24+7\\\\l=31\ cm$

8 0

3 years ago

Just solve the question :)

VashaNatasha [74]

Answer:

775

Step-by-step explanation:

Hello :3

750 + 25 = 775.

8 0

3 years ago

The tables for f(x) and g(x) are shown below.

Vinvika [58]

Answer:

Step-by-step explanation:

(f - g)(5) = f(5) -g(5)

From the tables, ...

f(5) = 29

g(5) = 13

Your desired function is ...

f(5) -g(5) = 29 -13 = 16

8 0

3 years ago

Help me find the solution set for 8x-3=2(x-1/2)

daser333 [38]

8x -3 = 2(x-1/2)
⇒ 8x -3= 2x -2*(1/2)
⇒ 8x -3 = 2x -1
⇒ 8x -2x= -1+ 3
⇒ 6x = 2
⇒ x= 2/6
⇒ x= 1/3

The final answer is x= 1/3~

6 0

3 years ago