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3 years ago

Please help:( The graph below is the solution for which set of inequalities?

Mathematics

1 answer:

OleMash [197]3 years ago

6 0

Answer:

Option 3rd is correct.

Step-by-step explanation:

We have been given the graph of the equation

$x+y\leq5$

$x+y\leq4$

$x\geq0$

$y\geq0$

We can see that one line of is under 5.

And the other line is under 4

And we can see the feasible region is in positive quadrant.

Therefore, option 3rd is correct.

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If 4 to the 3 power • 4 to the 3 power = m to the 6 power then m is

Sedbober [7]

4.
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4 years ago

A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15

Basile [38]

Answer:

After 11 years the value of the investment reaches $1500.00

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

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

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

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

$1500= 1200(1+\frac{0.02}{4})^{4t}$

Dividing both sides by 1200 and solving 0.02/4 = 0.005

$1.25= (1+0.005)^{4t}$

$1.25= (1.005)^{4t}$

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

$\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years$

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3 years ago

A jet travels for 410 miles in 2 hours. at this rate how far could the jet fly in 14 hours? What is the rate of speed of the Jet

Kobotan [32]

410/5 = ?

410/5 = 82

82 miles per hour

82*12 = ?

82*12 = 984

Answer: 984 miles in 12 hours

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