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3 years ago

Which procedure justifies whether -3x(5-4)+3(x-6) is equivalent to -12x-6?

Mathematics

2 answers:

Diano4ka-milaya [45]3 years ago

4 0

Answer:

x=1

Step-by-step explanation:

-3x(5-4)+3(x-6)

-15x+12x+3x-18

-3x+3x-18

-18=-12x-6

-12x=-18+6

-12x=-12

12x=12

x=12/12

x=1

Svetach [21]3 years ago

3 0

Answer:

The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (2) minus 6 = negative 30.

Step-by-step explanation:

i took the test 2020 edge

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NO LINKS!!! Kim invested $5000 in Mutual fund at 6% compounded quarterly. Write an equation to represent this situation. When wi

Ira Lisetskai [31]

Answer:

Equation is A = 5000(1.015)^(4t)

Her investment will be worth $10,000 in about 11.63888 years

Rounding up to the nearest whole number gets to 12 years

==========================================================

Explanation:

Part 1) Finding the equation

The compound interest formula is

A = P(1+r/n)^(n*t)

Here are the variables

A = final amount
P = starting amount, or deposit, or principal
r = interest rate in decimal form
n = number of times money is compounded per year
t = number of years

In this case,

P = 5000
r = 0.06 from the 6% annual interest
n = 4 times a year is the compounding frequency
t = unknown amount of time

Therefore, the equation is

A = P(1+r/n)^(n*t)

A = 5000(1+0.06/4)^(4t)

A = 5000(1.015)^(4t)

The decimal value is exact.

--------------------------

Part 2) Let's plug in A = 10,000 and solve for t.

You'll need to use logarithms to isolate the exponent.

A = 5000(1.015)^(4t)

10,000 = 5000(1.015)^(4t)

10,000/5000 = (1.015)^(4t)

2 = (1.015)^(4t)

Log[ 2 ] = Log[ (1.015)^(4t) ]

Log(2) = 4t*Log( 1.015 )

4t = Log(2)/Log(1.015)

4t = 46.5555256308062

t = 46.5555256308062/4

t = 11.6388814077015

t = 11.63888

It takes about 11.63888 years for the investment to reach $10,000.

Therefore, at the 12 year mark is when the investment is more than $10,000.

7 0

2 years ago

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Kyle drew three line segments with lengths: 2/4 inch 2/3inch, and 2/6 inch list the fractions in order from least to greatest

Sati [7]

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Method 1
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Since the numerators are the same, the smaller the denominators, the greater the fraction is.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$

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Method 2
----------------------------------------------------------------
Lets change all to the same denominators

$\dfrac{2}{4} = \dfrac{2 \times 3}{4 \times 3} = \dfrac{6}{12}$

$\dfrac{2}{3} = \dfrac{2 \times 4}{3 \times 4} = \dfrac{8}{12}$

$\dfrac{2}{6} = \dfrac{2 \times 2}{6 \times 2} = \dfrac{4}{12}$

Now that all the denominators are the same, we can arrange the fractions by comparing the numerators. The bigger the numerators, the greater the fraction.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$

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NISA [10]

Answer:

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