1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xxTIMURxx [149]
2 years ago
5

1.11t can be written as (1.111/12)12t to give the monthly interest rate based on an annual rate of 11%. Transform the expression

into a single exponent expression that gives the approximate equivalent monthly interest rate based on an annual rate of 11%.
Mathematics
1 answer:
Nataly_w [17]2 years ago
5 0

Answer:

yup this explanation is correct you will get good grade

You might be interested in
A coffee shop uses two different-sized bins to store coffee beans. The volume of the smaller bin is r cubic inches and the volum
DaniilM [7]

Answer:

r+y×(S×L)

Step-by-step explanation:

4 0
3 years ago
The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of the bridge is 1210 m long and
brilliants [131]

Answer:

The approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.

Step-by-step explanation:

The equation of the parabola is:

y=0.00035x^{2}

Compute the first order derivative of <em>y</em> as follows:

 y=0.00035x^{2}

\frac{\text{d}y}{\text{dx}}=\frac{\text{d}}{\text{dx}}[0.00035x^{2}]

    =2\cdot 0.00035x\\\\=0.0007x

Now, it is provided that |<em>x </em>| ≤ 605.

⇒ -605 ≤ <em>x</em> ≤ 605

Compute the arc length as follows:

\text{Arc Length}=\int\limits^{x}_{-x} {1+(\frac{\text{dy}}{\text{dx}})^{2}} \, dx

                  =\int\limits^{605}_{-605} {\sqrt{1+(0.0007x)^{2}}} \, dx \\\\={\displaystyle\int\limits^{605}_{-605}}\sqrt{\dfrac{49x^2}{100000000}+1}\,\mathrm{d}x\\\\={\dfrac{1}{10000}}}{\displaystyle\int\limits^{605}_{-605}}\sqrt{49x^2+100000000}\,\mathrm{d}x\\\\

Now, let

x=\dfrac{10000\tan\left(u\right)}{7}\\\\\Rightarrow u=\arctan\left(\dfrac{7x}{10000}\right)\\\\\Rightarrow \mathrm{d}x=\dfrac{10000\sec^2\left(u\right)}{7}\,\mathrm{d}u

\int dx={\displaystyle\int\limits}\dfrac{10000\sec^2\left(u\right)\sqrt{100000000\tan^2\left(u\right)+100000000}}{7}\,\mathrm{d}u

                  ={\dfrac{100000000}{7}}}{\displaystyle\int}\sec^3\left(u\right)\,\mathrm{d}u\\\\=\dfrac{50000000\ln\left(\tan\left(u\right)+\sec\left(u\right)\right)}{7}+\dfrac{50000000\sec\left(u\right)\tan\left(u\right)}{7}\\\\=\dfrac{50000000\ln\left(\sqrt{\frac{49x^2}{100000000}+1}+\frac{7x}{10000}\right)}{7}+5000x\sqrt{\dfrac{49x^2}{100000000}+1}

Plug in the solved integrals in Arc Length and solve as follows:

\text{Arc Length}=\dfrac{5000\ln\left(\sqrt{\frac{49x^2}{100000000}+1}+\frac{7x}{10000}\right)}{7}+\dfrac{x\sqrt{\frac{49x^2}{100000000}+1}}{2}|_{limits^{605}_{-605}}\\\\

                  =1245.253707795227\\\\\approx 1245.25

Thus, the approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.

7 0
3 years ago
A snow plough has a 3.2m blade set at an angle of 30 degrees How wide a path will the snow plough clear
snow_tiger [21]

Answer:

1.6m

Step-by-step explanation:

The length of the blade is 3.2m

The angle which the blade makes is 30°

Assuming the path of the blade and the length it covers is a right-angled triangle,

The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.

See attached document for better illustration.

Using SOHCAHTOA,

Sinθ = opposite / hypothenus

opposite = x

hypothenus = 3.2

θ = 30°

Sin30 = x / 3.2

X = 3.2sin30

X = 3.2 × 0.5

X = 1.6m

The path which the snow plough clears is 1.6m

6 0
3 years ago
What's the simplest from for 15/72
pychu [463]
Divide them both by three and you will get your answer, which is 5/24
4 0
3 years ago
Find the domain of y equals the square root of the quantity 3 multiplied by x plus 3 end of quantity.
juin [17]

Answer:

The answer is D

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Lechie has 21 crystals in her collection. Her brother Tomer has 7 crystals. How many more crystals does Lechie have than Tomer?
    7·2 answers
  • An apartment that rented for $750 per month in 2005 was rented for $825 in 2006. What was the percent increase in rent?
    9·1 answer
  • Graph the equation by translating y = |x|.
    11·1 answer
  • What is 15.35=x -1.84
    12·2 answers
  • During a football game, Max had gained 15 yards and then gained 8 more yards. Later in
    11·2 answers
  • Help me pls T^T ASAP
    9·2 answers
  • A line is perpendicular to y = 3x - 8
    14·1 answer
  • PLEASE HELP ME OUT !!!
    6·2 answers
  • Simplify the expression t+2+6t
    5·1 answer
  • Help asap please I need help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!