Solve by factoring.
4m2−3m−27=0

After 8 years the worth would become $1,095.91

If n is the number of times the interest is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

We are given that $550 invested at 9% interest compounded annually be worth after 8 years.

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

a = 550 (1 + 0.09)^8t

a = 550 (1.09)^8t

a =1,095.91

Hence, the worth would be; $1,095.91

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We are given:
Initial sound Intensity: 110 dB
Rate of decreasing sound level: 16% every second

Constructing the equation:
Since the Intensity decreases by 16% of it's current value every second.
Intensity(t) = [tex]110 * (\frac{84}{100})^{t}[/tex]               [where t is the time elapsed]
In this equation, we multiply the initial sound intensity by 84% (since 16% was diminished).
because we are multiplying the same value by 84%, it will keep taking that percentage of the new value, which is what we need here because the music's intensity keeps becoming 84% of the previous value.

Time at which sound level falls to 30 dB:
replacing intensity by 30 in the equation we made.
[tex]30 = 110 * (\frac{84}{100})^{t}[/tex]
[tex]\frac{3}{11} = (\frac{84}{100})^t[/tex]
taking log of both sides.
[tex]log(\frac{3}{11}) = t*log(\frac{84}{100})[/tex]
[tex]\displaystyle \frac{log(\frac{3}{11})}{log(\frac{84}{100})} = t[/tex]

t = 7.452 seconds

Answer:

Equation:  [tex]y=110(0.84)^x[/tex]

(where x is the time in seconds, and y is the sound level in decibels)

Answer: The sound level falls below 30 decibels after 7.452 seconds (3 dp)

Step-by-step explanation:

We can model this as an exponential equation.

General form of an exponential equation: [tex]y=ab^x[/tex]

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the sound decreases by 16% each second, then the growth (decay) factor will be 100% - 16% = 84%  →  0.84

Given:

Substituting these values into the equation:

[tex]\implies y=110(0.84)^x[/tex]

To find how long until the sound level falls below 30 decibels, set y < 30 and solve for x:

[tex]\begin{aligned}110(0.84)^x & < 30\\\\(0.84)^x & < \dfrac{3}{11}\\\\\ln (0.84)^x & < \ln \left(\dfrac{3}{11}\right)\\\\x \ln (0.84) & < \ln \left(\dfrac{3}{11}\right)\\\\x & > \dfrac{\ln \left(\dfrac{3}{11}\right)}{\ln (0.84)}\\\\x & > 7.452008851\end{aligned}[/tex]

Therefore, the sound level falls below 30 decibels after 7.452 seconds (3 dp)

Answer:

D. Graph 4 In an account with 250$ balance that accrues 2% annually, with no deposits or withdrawals, it takes 6 years and 6 months for the balance to be 282$

Step-by-step explanation:

if the balance accrues 2% annually, then that means every year the amount increases by 100% + 2% = 102%

102%= 102/100 = 1.02

if we multiply the balance in the account with 102% or by 1.02 at the beginning of each year we will get the amount accrued at the end of the year

First year: $250 x 1.02 = $260.1

Second year: 260.1 x 1.02 = $265.302

Third year: 265.302 x 1.02 = $270.60802

we can use these points to create a graph that will help us estimate at what year the amount will be 282$

Answer:

D

Step-by-step explanation:

Typically, linear equations are written in slope-intercept form:

[tex]y=mx+b[/tex]

To find the equation of a line given a point and the slope:

We're given:

[tex]y=mx+b[/tex]

⇒ Plug in the slope, [tex]\dfrac{1}{5}[/tex]:

[tex]y=\dfrac{1}{5}x+b[/tex]

⇒ Plug in the point (-5,-4) and solve for b:

[tex]-4=\dfrac{1}{5}(-5)+b\\\\-4=-1+b\\\\b=-3[/tex]

⇒ Therefore, the y-intercept of the line is -3. Plug this back into our original equation as b:

[tex]y=\dfrac{1}{5}x-3[/tex]

[tex]y=\dfrac{1}{5}x-3[/tex]

The number of pounds that one of the heaviest bag weighs more than one of the lightest bag in the given line plot is: 1½

In a line plot, frequency of a data point is either represented by a dot or a mark.

In the line plot given:

Heaviest bag weighs 5¾

Lightest bag weighs 4¼

The difference between the heaviest and lightest bag = 5¾  - 4¼

= 23/4 - 17/4

= (23 - 17)/4 = 6/4 = 3/2

= 1½

The heaviest bag weighs 1½ pounds than the lightest bag.

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The parabolae b, d and f seen in the real coordinate plane have complex roots.

Second order polynomials are algebraic equations of the form:

[tex]y = a\cdot x^{2}+b\cdot x + c[/tex]   (1)

Where:

A value of x is a root of the polynomial for y = 0, which can real or complex but not both according to the discriminant of the quadratic formula. If the polynomial has no real roots, then it does not pass through the x-axis in the real coordinate plane.

Therefore, the parabolae b, d and f seen in the real coordinate plane have complex roots. [tex]\blacksquare[/tex]

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Answer:

its ethier the photo or the beach ball but i dont know which is

Step-by-step explanation:

Answer:A beach ball.

Step-by-step explanation:

Answer:

5 science questions and 1 math question

Step-by-step explanation:

i literally just counted on my fingers by 3

Answer:

D. 4.5 and 12 seconds

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It was correct on the quiz

Answer: 20v+5

Step-by-step explanation:

5(4v+1)

Use the distributive property to multiply 5 by 4v+1.

20v+5

Answer:

20v+5

Step-by-step explanation:

You would multiply using the distributive property

Distributive property formula examples:

AB=BA

A+B=B+A

(AB)C=A(BC)

(A+B)+C=A+(B+C)

A(B+C)=AB+AC

Answer:

D. is correct.

[tex]2 * 1 = 2[/tex]

[tex]4 * 1=4[/tex]

[tex]4 + 2 = 6[/tex]

________________________________________________________

The product of answer choice D.(6) is not equal to the product of [tex]\frac{2}{3}[/tex] × 4, because [tex]\frac{2}{3}[/tex] × 4 is actually [tex]2\frac{2}{3}[/tex]

________________________________________________________

We learned how to find whole numbers through an expression with fractions.

Questions related to the topic? Ask me in the comments box.

Answer:

anywhere around 420-450

Step-by-step explanation:

the actual answer is 434, a good estimation would be in that range

Answer:

9/70

Step-by-step explanation:

Given that:

70 students choose to attend one of three after school activities: football, tennis or running.

There are 30 boys. 13 students choose football, of which 9 are girls. 31 students choose tennis. 9 girls choose running.

A student is selected at random.

What is the probability this student chose running?

Since it asking for the probability of this student (randomly select) chose running. And we can see that there are 9 girls choose running.

Therefore, we also know 70 students is the total

Hence, the answer is 9/70

9/70 is in simplest form already.

~lenvy~

Answer:

9/70

Step-by-step explanation:

Important info:

Solution:

Probability of this student (randomly select) chose running. And we can see that there are 9 girls choose running.

Thus, 70 students is the total

Therefore, the answer is 9/70

9/70 can't be simplify.

[RevyBreeze]

Answer:

I don't really know but I'm curious haha

Answer:

The 2 is in the ten thousands place.

Answer:

In this case the number 2 would be located in the tens of thousands.

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Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Answer:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞), {x|x∈R}

Range: {y|y=10}

(I apologize if this doesnt help)

$0.7

Given sentence:

Writing as an equation:

[tex]\implies 2.4 \ \text{pounds} = \$1.68[/tex]

To obtain the cost per pound of peas, divide 2.4 both sides. This will convert the value on the L.H.S to 1 pound. The value obtained on the R.H.S will be the the cost (answer).

[tex]\implies \dfrac{2.4 \ \text{pounds}}{2.4} = \$\dfrac{1.68}{2.4}[/tex]

[tex]\implies 1 \ \text{pounds}}= \$\dfrac{1.68}{2.4}[/tex]

[tex]\implies 1 \ \text{pound} = \$0.7[/tex]

Answer:

I dont know

Step-by-step explanation: I hope someone can help you

Answer:

28.3 m²

Step-by-step explanation:

The formula to find the area of a quadrant: 1/4 x π x r², where r is radius (diameter ÷ 2) and π is 3.14 or 22/7 or 3.142.

1) Substitute the values into the formula.

= 1/4 x 22/7 x 6²

2) Solve it.

= 1/4 x 22/7 x 36

= 1/4 x 113.14

= 28.285

2) Round the answer to one decimal place.

= 28.3

Answer:

x=1

Step-by-step explanation:

1) Distribute 3x+9=12

2) Subtract 9 from both sides 3x=3

3) Divide by three x=1

Applying the knowledge of radicals, the perimeter of the given triangle is calculated as: 63√6 cm

To find the perimeter of a triangle, add up the length of all its three sides.

Given the trangle in the image:

Perimeter = 12√54 + 15√6 + 6√24

Simplify each radicals

12√(9 × 6) + 15√6 + 6√(4 × 6)

12 × 3√6 + 15√6 + 6 × 2√6

36√6 + 15√6 + 12√6

Add like radicals together

Perimeter = 63√6 cm

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Answer: x=20, y=z=160

Step-by-step explanation:

The Ruiz family using a rounded figure for exchange rate will not give the correct exchange.

Exchange rate:

1 euro = 1.35261 USD

1.35261 rounded to the nearest hundredth = 1.35

If Ruiz family is exchanging 50 euros for instance

Original exchange rate

1 euro = 1.35261 USD

50 euro = 67.6305

Rounded exchange rate:

1 euro = 1.35 USD

50 euro = 67.5 USD

Therefore, the Ruiz family using a rounded figure for exchange rate will not give the correct exchange.

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Answer:

x = 10

Step-by-step explanation:

Both right triangles are similar.

-> Corresponding sides of similar triangles are in proportion.

[tex] \implies \: \frac{x + 6}{16} = \frac{x}{10} \\ \\ \implies \: 10(x + 6) = 16x \\ \\ \implies \: 10x + 60= 16x \\ \\ \implies \: 10x - 16x = - 60 \\ \\ \implies \: - 6x = - 60 \\ \\ \implies \: x = \frac{ - 60}{ - 6} \\ \\ \implies \: x = 10[/tex]

12-(-8)=20

x axis = 20:2 = 10

Answer: 7 hours.

Step-by-step explanation: Randall can assemble 5 race car tracks in an hour and Diggery can assemble 4 race car tracks in an hour.  To see how many hours it takes to make 63 race car tracks, you need to add 5 and 4, since Randall and Diggery are working together.  Both of them combined can make 9 race car tracks in total every hour.  63 can be divided by 9, which is 7.  Therefore, it'll take 7 hours for both of them to make 63 race car tracks.

Let me know if this is right! :)

Answer:

4000

Step-by-step explanation:

Product just means multiply!

40 × 100 = 4000

Answer:

4000

Step-by-step explanation:

40 times 100 is 4000

take the 4 and put the amount of 0's in the equation behind it ( there are 3 in total, 2 from the 100 and 1 from the 40): 4000

Answer:12 1/8

Step-by-step explanation:

you add the denomunator in order to get your answer