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3 years ago

12

Choose the graph that matches the following system of equations:

1 answer:

Lelu [443]3 years ago

4 0

In intercept form, the equations are
.. x/(-5/8) +y/(-1) = 1
.. x/(3/7) +y/(-1) = 1

The first line has intercepts (-5/8, 0) and (0, -1).
The second line has intercepts (3/7, 0) and (0, -1)

In the second graph, the (blue) line with positive slope has an x-intercept greater than 1/2. Neither line matches that. The intercepts match those of the first graph.

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What is the rounded number of 305?

My name is Ann [436]

Answer:310

Step-by-step explanation:

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2 years ago

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Which triangle must be a right triangle and why?

Lapatulllka [165]

Of your answers, the first one is correct. There are two right triangles in the graph, ABC and A'B'C'. However, only A'B'C' is listed.

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2 years ago

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An individual saves $5000 in a bank account at the beginning of each year for 10 years.

frozen [14]

Answer:

a) Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually is $5849.5

Step-by-step explanation:

Principal Amount P = 5000

Time t = 10 years

Annual interest i = 8% = 0.08

We need to find amount saved if interest is compounded a) annually b) semi-annually

a) Amount saved if the interest is compounded annually

If interest compounded annually, n= 1

Using Formula: $A=P(1+\frac{r}{n})^{nt}$

Putting values:

$A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832$

So, Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually

If interest compounded semi-annually, n= 2

Using Formula: $A=P(1+\frac{r}{n})^{nt}$

Putting values:

$A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5$

So, Amount saved if the interest is compounded semi-annually is $5849.5

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2 years ago

The difference of a number and 12 is 4

lora16 [44]

16, since the inverse operation of subtraction is addition add 12 and 4.

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2 years ago

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Clare is painting some doors that are all the same size. She used 2 liters of paint to cover

grigory [225]

Answer:

I think it's 1 1/4 liters of paint for one door

Step-by-step explanation:

First you have to turn it to an improper fraction

1.) 1 3/5 = 8/5

Then you have to proportion the fraction with the 2 liters (L=liters)

2.) 2/(8/5)

= 10/8 L

3.) Next you convert the fraction to a mixed number

10/8 L --> 8/8 + 2/8 = 1 1/4 L

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2 years ago