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3 years ago

!!!!!!!!!!!!!!!!!!!! HELP

Mathematics

2 answers:

RSB [31]3 years ago

6 0

Answer:

x >-2

Step-by-step explanation:

We can add 4 to both sides.

Now the equation is -3x<2+4

Simplify to get: -3x<6

Divide by -3 to get x alone

x<-2

Flip the sign since you divided by a negative

x>-2

Alexeev081 [22]3 years ago

5 0

Answer:

0 and 3 are solution of inequality.

Step-by-step explanation:

Given : -3x – 4 < 2.

To find : Which values are solutions to the inequality.

Solution : We have given

-3x – 4 < 2.

For x = -4 .

-3 ( -4) -4 < 2 .

12 -4< 2.

8 < 2

Which is false statement .

For x = -2 .

-3 ( -2) < 2

6 < 2

This is false statement so, this is not the solution of inequality .

For x = 0 .

3( 0) -4 < 2 .

-4 < 2

We know that negative value is always less than positive .

So, x = 0 is solution of inequality.

For x = 3

-3 ( 3) - 4 < 2

-9 - 4 < 2

-13 < 2

This is also he solution of inequality.

Hence there are two solution 0 ,3.

Therefore, 0 and 3 are solution of inequality.

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Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

bonufazy [111]

Answer:

Using the rule of 72, the doubling time is 9.35 years.

The exact answer is that the doubling time is 8.89 years.

Step-by-step explanation:

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 7.7%. So, by the rule of 72:

$D = \frac{72}{7.7} = 9.35$ .

Exact answer:

The exact answer is going to be found using the compound interest formula(since the rule of 72 is a simplification of this formula).

The compound interest formula is given by:

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

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

$A = 2P$

$r = 0.077$

There are 52 weeks in a year, so $n = 52$

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

$2P = P(1 + \frac{0.077}{52})^{52t}$

$2 = (1.0015)^{52t}$

Now, we apply the following log propriety:

$\log_{a} a^{n} = n$

So:

$\log_{1.0015}(1.0015)^{52t} = \log_{1.0015} 2$

$52t = 462.44$

$t = \frac{462.44}{52}$

$t = 8.89$

The exact answer is that the doubling time is 8.89 years.

6 0

3 years ago

Find the difference: 56.34 - 3.1

Serjik [45]

It is D you have subtract them

6 0

2 years ago

X3−2=10 help plz i need help

Norma-Jean [14]

X=4
This is because
(4)3-2=10
12-2=10
10=10
This makes the statement true!
Hope this helps have a good day!

6 0

3 years ago

Which statement is true about the given information?

Lubov Fominskaja [6]

Answer

∴ The true statement is Answer:

The true statement is BD ≅ CE ⇒ 3rd answer

Step-by-step explanation:

- There is a line contained points B , C , D , E

- All points are equal distance from each other

- That means the distance of BC equal the distance of CD and equal

the distance of DE

∴ BC = CD = DE

- That means the line id divided into 3 equal parts, each part is one

third the line

∴ BC = 1/3 BE

∴ CD = 1/3 BE

∴ DE = 1/3 BE

∵ BC = CD

∴ C is the mid-point of BD

∴ BC = 1/2 BD

∵ CD = DE

∴ D is the mid-point of DE

∴ CD = 1/2 CE

- Lets check the answers

* BD = one half BC is not true because BC = one half BD

* BC = one half BE is not true because BC = one third BE

* BD ≅ CE is true because

BD = BC + CD

CE = CD + DE

BC ≅ DE and CD is common

then BD ≅ CE

* BC ≅ BD is not true because BC is one half BD

∴ The true statement is BD ≅ CE

plz mark me brainliest

5 0

3 years ago

Suppose you are putting up a tent for a camping trip.

SSSSS [86.1K]

The length of the rope needed is 15 feet

Given the following parameters;

Height of the pole = 9 foot

The distance from the <u>rope away from the base </u>of the pole is 12 feet

Required

Length of the rope.

To get the length of the rope, you will use the pythagoras theorem expressed as:

c² = a² + b²

Substituting the given parameters:

c² = 9² + 12²

c² =81 + 144

c² = 225

c = √225

c = 15 feet

Therefore the length of the rope needed is 15 feet

Learn more on Pythagoras theorem here: brainly.com/question/231802

7 0

2 years ago