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marusya05 [52]
2 years ago
15

(10. 2x+16=5x-17 find qs​

Mathematics
1 answer:
mylen [45]2 years ago
4 0

Answer:

x = 11

Step-by-step explanation:

2x + 16 = 5x - 17

     + 17         + 17

2x + 33 = 5x

- 2x          - 2x

      33 + 3x

33/3 = 11

3x/3 = x

You might be interested in
How long does it take for an investment to quadruple in value if it is invested at 11% compounded
defon

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

3 0
2 years ago
HELP ME AND PLEASE HURRY
Damm [24]
The answer is sometimes true
8 0
2 years ago
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
GrogVix [38]

Answer:

87.96 {m}^{2}

Step-by-step explanation:

area=2πrh \\ =2·π·7·2 \\ ≈87.96459 {m}^{2}

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>

<em>brainliest</em><em> </em><em>appreciated</em>

<em>good</em><em> </em><em>luck</em><em>!</em><em> </em><em>have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em>

5 0
3 years ago
Factor this trinomial completely.
maxonik [38]

Answer:

2(x^2+3x+2) = 2(x+1)(x+2)

Answer is D.

Step-by-step explanation:

7 0
3 years ago
Using b=1+r, what does b=
alisha [4.7K]

Answer:

Adding 12 to the circle area is equal to the square area.

Or

s2 = 12 + A

Where

s = side of square

A = area of circle

So

s2 = 12 + 36

s2 = 48

Solve this for s to get the side length

4 0
2 years ago
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