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3 years ago

Find the GCF. 6m3n and 8mn2

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

6 0

Answer:

$2mn$

Step-by-step explanation:

$6m^3n,\:8mn^2$

Find the GCD of $6,\:8$ :

$6$

$=2\cdot \:3$

$8$

$=2\cdot \:4$

$=2\cdot \:2\cdot \:2$

So the prime factor common to 6, 8 is:

$2$

So the factor common to $6m^3n,\:8mn^2$ :

$=2mn$

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Exponential growth/decay problem 1

RUDIKE [14]

Answer:

a) growth

b) $500

c) 6% = 0.06

d) $f(x)=500(1.06)^x$

e) $595.51

Step-by-step explanation:

Part (a)

Exponential GROWTH, since interest is applied to the account each year.

Part (b)

Initial amount = $500

Part (c)

Growth factor = 6% = 0.06 (in decimal form)

Part (d)

General form of exponential growth function:

$f(x)=a(1+r)^x$

where:

a = initial amount
r = rate of growth (in decimal form)
x = time (in years)

Given:

a = 500
r = 0.06

$\implies f(x)=500(1+0.06)^x$

$\implies f(x)=500(1.06)^x$

Part (e)

when x = 3

$\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}$

5 0

2 years ago

Lenore lives in a state where sales tax is 10%. This means you can find the total cost of an item, including tax, by using the e

Aliun [14]

Function is

f(c)=c+0.10c

Put 84.00$

$\\ \tt\hookrightarrow 84.00+0.1(84.00)$

$\\ \tt\hookrightarrow 84.00+8.4$

$\\ \tt\hookrightarrow 92.4$

4 0

3 years ago

Mary and Gary had some stickers in the ratio 5:3. After Mary had given 1/3 of her stickers to Gary, the new ratio of the number

polet [3.4K]

The total number of stickers the 2 children had was 192 stickers.

Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.

x + y = z

x + y - z = 0 (1)

They shared in the ratio of 5:3, hence:

x = (5/8)z

8x - 5z = 0 (2)

Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.

(1/3)x = (1/3)(5/8)z = (5/24)z

y + (1/3)x = (2/3)x + 32

y - (1/3)x = 32 (3)

Solving equation 1, 2 and 3 gives:

x = 120, y = 72, z = 192

The total number of stickers the 2 children had was 192 stickers.

Find out more on equation at: brainly.com/question/13763238

6 0

2 years ago

What does BODMAS stand for?

satela [25.4K]

Brackets Order Division Multiply Add Subtract

7 0

4 years ago

Read 2 more answers

Grapes cost $2.50 per pound. which equation represents y, the total cost of grapes at x pounds?

inn [45]

Answer:

y = 2.50x

Step-by-step explanation:

Grapes cost $2.50 per pound

which equation represents y, the total cost of grapes at x pounds?

To get the value of x pounds

1 pound of grape cost $2.50

x pounds of grapes cost y

to get y

cross multiply

y x 1= x ($2.50)

y = 2.50x

7 0

3 years ago