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Citrus2011 [14]
4 years ago
12

What are equivalent expressions for 6(y-1) and 64x+80

Mathematics
1 answer:
snow_tiger [21]4 years ago
4 0
To find equivalent expressions, distribute the first one and factor the second one.

6(y-1) \\  (6*y)+(6*-1) \\ 6y-6 \\  \\ 6(y-1)=6y-6 \\  \\ 64x+80 \\ 16( \frac{64}{16}x+ \frac{80}{16}) \\ 16(4x+5) \\ \\ 64x+80=16(4x+5)
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b

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7 0
3 years ago
Question 5<br> Work out 524 + 344 =
Rainbow [258]

Answer:

868

Step-by-step explanation:

5 2 4

+ 3 4 4

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4 + 4 = 8

5 2 4

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Hope this helps.

3 0
4 years ago
Read 2 more answers
Find the amount in the bank after 7 years if interest is compounded quarterly?
qwelly [4]

Answer:

a) amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

Step-by-step explanation:

We are given:

Principal Amount P= 5000

Rate r= 4% = 0.04

time t = 7 years

The formula used is: A=P(1+\frac{r}{n})^{nt}

where A is future value, P is principal amount, r is rate, n is compounded value and t is time

a) Find the amount in the bank after 7 years if interest is compounded quarterly?

If interest is compounded quarterly then n = 4

Using values given in question and finding A

A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{4})^{4*7} \\A=5000(1+0.01)^{28}\\A=5000(1.01)^{28}\\A=5000(1.321)\\A=6,605

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) Find the amount in the bank after 7 years if interest is compounded monthly?

If interest is compounded quarterly then n = 12

Using values given in question and finding A

A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{12})^{12*7} \\A=5000(1+0.003)^{84}\\A=5000(1.003)^{84}\\A=5000(1.322)\\A=6,612.57

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

6 0
3 years ago
Write an equation for the line in point-slope form and then convert it to standard form. through (2, 3) and (3,5)​
poizon [28]

Answer:

equation of the line: 2x - y = 1

Step-by-step explanation:

Given coordinates: (2, 3) and (3,5)​

find slope of the equation:

  • \frac{y2-y1}{x2-x1}

using the formula:

→ \frac{5-3}{3-2}

→ 2\\ .............this is slope, also refereed as (m) in short form.

using the equation formula:

  • y - y1 = m ( x - x1 )

using the formula:

→ y - 3 = 2 ( x - 2 )

→ y - 3 = 2x - 4

→ y = 2x -4 +3

→ y = 2x - 1

→ -2x + y = -1

→ (-2x + y)/-1 = -1 /-1             [ divide both sides by -1 ]

→ 2x - y = 1  .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.

6 0
3 years ago
Read 2 more answers
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