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astra-53 [7]
3 years ago
5

Which ordered pair is the solution to the system of inequalities

Mathematics
1 answer:
Kryger [21]3 years ago
3 0

Answer:

C) (9, 4)

Step-by-step explanation:

4 < 5☑

4 < 3[9] → 4 < 27☑

Therefore, this solution is genuine.

I am joyous to assist you anytime.

You might be interested in
Apply the distributive property to create an equivalent expression.<br> (3 - 8y) x (-2.5)
monitta
(3-8y) x (-2.5)
= -7.5+20y
5 0
2 years ago
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
What is the perimeter of an equilateral triangle which has an area of 96\sqrt{3}96 <br> 3 ?
IRISSAK [1]

Answer:

Perimeter = 44.67

Step-by-step explanation:

7 0
3 years ago
The squared paper shows the nets of cuboid A and cuboid B.
kompoz [17]

Answer:

No they don't.

LINK TO PICTURE  OF WORK - My uploads aren't working my apologies.

https://tex.z-dn.net/?f=A%3A%5C%5C(2*2*2)%2B(3*2*2)%2B(3*2*2)%3D%5C%5C(4*2)%2B(6*2)%2B(6*2)%3D%5C%5C8%2B12%2B12%3D%5C%5C20%2B12%3D%5C%5C32%20cm%5E2%5C%5C%5C%5CB%3A%5C%5C(1*3*2)%2B(1*4*2)%2B(3*4*2)%3D%5C%5C(3*2)%2B(4*2)%2B(12*2)%3D%5C%5C6%2B8%2B24%3D%5C%5C14%2B24%3D%5C%5C38%20cm%5E2

4 0
2 years ago
Help on this one as well ii manged to get an answer but If you understand it or im wrong an you please explain ! thank you !!
AnnZ [28]
Almost got it!

x + 3 = 3(y + 2)/2 [Multiplied both sides by 3]
so x + 3 = (3y + 6)/2
2(x + 3) = 3y + 6 [Multiplied both sides by 2]
2x + 6 = 3y + 6
2x = 3y [Subtracted 6 from both sides]
x = 3y/2 [Divided both sides by 2]
x/3 = y/2 [Divided both sides by 3]

So you wrote y/3 instead of y/2 
Hope this helped!
8 0
3 years ago
Read 2 more answers
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