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Vladimir [108]
3 years ago
5

What is StartFraction one-half EndFraction x is less than or equal to 18.x ≤ 18

Mathematics
2 answers:
Eduardwww [97]3 years ago
7 0

Answer:

x\leq 36

The solution for x is all real numbers less that or equal to 36.

Step-by-step explanation:

Given expression:

\frac{1}{2}x\leq18

To find the solution for x

Solution:

In order to solve for x , we will make sure to isolate the unknown variable x on left side alone by doing math operations on both sides of the inequality.

We have:

\frac{1}{2}x\leq18

Multiplying both sides by 2.

2.\frac{1}{2}x\leq18\times 2

The 2 on left side will cancel each other leaving x alone.

Thus, we have:

x\leq 36

Thus, solution for x is all real numbers less that or equal to 36.

svp [43]3 years ago
7 0

Answer:

D

Step-by-step explanation:

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A total of 815 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 more stud
kvv77 [185]

Answer:

<u>375 Adult Tickets.</u>

Step-by-step explanation:

Here, we can simply set up an equation using variable <em>x </em>in place of the unknown student/adult tickets.

x = # of <u>adult</u> tickets sold

x + 65 = # of <u>student</u> tickets sold.

1) x + x + 65 = 815 (set both ticket amounts equal to the total)

2) 2x + 65 = 815 (added common variables together)

3) 2x = 750 (negated the +65, subtracted it from both sides)

4) x = 375 (divided both sides by 2)

5) 815 - 375 = 440 (subtracted the x from the total number of <u>adult</u> tickets, to recieve the amount of <u>childrens</u>' tickets.

Therefore,

Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.

5 0
2 years ago
Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu
kakasveta [241]

Step-by-step explanation:

  • Natalie has $5000
  • She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

  • continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}

or

P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}

Here,

i = interest rate

= number of compounding periods

t = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, n, becomes infinitely large.

Therefore, the formula as we discussed above would become:

                                        P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

Part c) How much money will Natalie have after 2 years?

Using the formula

                            P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

$₂ =\:6107.02 $

So, Natalie will have \:6107.02 $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

                            P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

$₁₀ =13.597.50 $

So, Natalie will have 13.597.50 $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

#learnwithBrainly

5 0
3 years ago
Use &gt;,&lt;,=.<br> 0.94___0.49
uranmaximum [27]
0.94>0.49 because 0.94 is the larger number.

5 0
3 years ago
Read 2 more answers
Is 4x positive or negative?
Nikolay [14]

Answer:

if x is positive, the answer is positive. If x is negative, the answer is negative.

7 0
3 years ago
Figure A is a scale image of Figure B. What is the value of x?
Arte-miy333 [17]
X=30
Put in proportions x/45 = 18/27.
Cross multiply and get 27x= 45 x 18
Or 27X = 810.
Next, divide by 27 on both sides to get X=30.
8 0
3 years ago
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