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charle [14.2K]
3 years ago
8

11/n = 8/5 solve for n

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
4 0

Answer:

\boxed{\pink{n = 7 \frac{3}{8} }}

Step-by-step explanation:

\frac{11}{n}  =  \frac{8}{5}  \\

Use cross multiplication

11 \times 5 = 8 \times n \\ 55 = 8n \\  \frac{55}{8}  =  \frac{8n}{8}  \\ n = 7 \frac{3}{8}

iragen [17]3 years ago
3 0

Answer:

n = 55/8

Step-by-step explanation:

You can solve it by cross multiplying. Where you multiply the denominator of the fraction on the left side with the numerator on the right side, and vice versa.

11/n = 8/5

n x 8 = 11 x 5

8n = 55

n = 55/8

(or 6.875)

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Nazerhy deposits $8,000 in a certificate of deposit. the annual interest rate is 6%, and the interest will be compounded quarter
Bess [88]

The worth of the certificate in 10 years would be $14,512.15

Compound Interest and Its Formula

Compound interest is the type of interest based investment that causes initially modest sums of money to eventually increase to big sums. The formula for compound interest is given by,

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

Here,

A is the final worth of the investment

P denotes the Principal amount of money that is invested  

r denotes the rate of the compound interest

t denotes the time period in years  

n denotes the number of times interest is compounded in one year

Given Information

P = $8,000

r = 6% = 0.06

n = 4 (∵ Compounded quarterly)

t = 10 years

Solving for A

Substituting the values of P, r, n, and t in the above mentioned formula of compound interest, we get,

A = 8,000(1+\frac{0.06}{4})^{4*10}

A = 8,000(\frac{4.06}{4})^{40}

A = 8,000* 1.8140184

A = 14,512.14726

Rounding the answer to two decimal places, we get,

A = 14,512.15

Therefore, Nazerhy would get $14,512.15 after 10 years.

Learn more about compound interest here:

brainly.com/question/26457073

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7 0
2 years ago
Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x3 − 27x + 3 (a) Find the interval of increase. (E
xxTIMURxx [149]

Answer:

(-∞,-3) and (3,∞)  

Step-by-step explanation:

f(x) = x³ − 27x + 3

1. Find the critical points

(a) Calculate the first derivative of the function.

f'(x) = 3x² -27  

(b) Factor the first derivative

f'(x)= 3(x² - 9) = 3(x + 3) (x - 3)

(c) Find the zeros

3(x + 3) (x - 3) = 0

x + 3 = 0      x - 3 = 0

     x = -3          x = 3

The critical points are at <em>x = -3</em> and x = 3.

2. Find the local extrema

(a) x = -3

f(x) = x³ − 27x + 3 = (-3)³ - 27(-3) + 3 = -27 +81 + 3 = 57

(b) x = 3

f(x) = x³ − 27x + 3 = 3³ - 27(3) + 3 = 27 - 81 + 3 = -51

The local extrema are at (-3,57) and (3,-51).

3, Identify the local extrema as maxima or minima

Test the first derivative (the slope) over the intervals (-∞, -3), (-3,3), (3,∞)

f'(-4) = 3x² -27 = 3(4)² - 27  = 21

f'(0) = 3(0)² -27 = -27

f'(4) = 3(4)² - 27 = 51

The function is increasing on the intervals (-∞,-3) and (3,∞).

The graph below shows the critical points of your function.

6 0
3 years ago
The table below shows the ages of 50 people on a bus.
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Step-by-step explanation:

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2 years ago
The graph of the function f(x) = x2 + 8x + 12 is shown. Which statements describe the graph? Check all that apply.
strojnjashka [21]
<span>The axis of symmetry is x = –4.
</span><span>The domain is all real numbers.
</span><span>The x-intercepts are at (–6, 0) and (–2, 0). </span>
7 0
3 years ago
Read 2 more answers
What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?
vodomira [7]
<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

2m^2-16m=-8

Next, divide both sides by 2:

m^2-8m=-4

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

m^2-8m+16=12

Next, factor the left side:

(m-4)^2=12

Next, square root both sides of the equation:

m-4=\pm \sqrt{12}

Next, add 4 to both sides of the equation:

m=4\pm \sqrt{12}

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

  • Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

m=4\pm 2\sqrt{3}

<h2>Answer:</h2>

In exact form, your answer is m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}

In approximate form, your answers are (rounded to the hundreths) m=7.46, 0.54

6 0
3 years ago
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