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
rosijanka [135]
3 years ago
14

Decrease £180 by 12.5%

Mathematics
2 answers:
Ierofanga [76]3 years ago
5 0

Answer:

The answer is £157.5.

Step-by-step explanation:

Another way of <u>decreasing by a percentage is to increase by that percentages compliment.</u>

Since 100-12.5 = 87.5%. We can <u>increase 180 by 87.5% to get the same result.</u>

0.875*180 = 157.5

mr_godi [17]3 years ago
5 0

Answer:

£ 157.5

Step-by-step explanation:

180 - 12.5%×180 =

= 180 - 12.5×180/100

= 180 - 2250/100

= 180 - 22.5

= £ 157.5

You might be interested in
-5/4x+2/5=-13/30. What is the solution to ths equation
uysha [10]
2/3 is the answer to this problem.
8 0
3 years ago
Consider the following function.
Kryger [21]

Answer:

See below

Step-by-step explanation:

I assume the function is f(x)=1+\frac{5}{x}-\frac{4}{x^2}

A) The vertical asymptotes are located where the denominator is equal to 0. Therefore, x=0 is the only vertical asymptote.

B) Set the first derivative equal to 0 and solve:

f(x)=1+\frac{5}{x}-\frac{4}{x^2}

f'(x)=-\frac{5}{x^2}+\frac{8}{x^3}

0=-\frac{5}{x^2}+\frac{8}{x^3}

0=-5x+8

5x=8

x=\frac{8}{5}

Now we test where the function is increasing and decreasing on each side. I will use 2 and 1 to test this:

f'(2)=-\frac{5}{2^2}+\frac{8}{2^3}=-\frac{5}{4}+\frac{8}{8}=-\frac{5}{4}+1=-\frac{1}{4}

f'(1)=-\frac{5}{1^2}+\frac{8}{1^3}=-\frac{5}{1}+\frac{8}{1}=-5+8=3

Therefore, the function increases on the interval (0,\frac{8}{5}) and decreases on the interval (-\infty,0),(\frac{8}{5},\infty).

C) Since we determined that the slope is 0 when x=\frac{8}{5} from the first derivative, plugging it into the original function tells us where the extrema are. Therefore, f(\frac{8}{5})=1+\frac{5}{\frac{8}{5}}-\frac{4}{\frac{8}{5}^2 }=\frac{41}{16}, meaning there's an extreme at the point (\frac{8}{5},\frac{41}{16}), but is it a maximum or minimum? To answer that, we will plug in x=\frac{8}{5} into the second derivative which is f''(x)=\frac{10}{x^3}-\frac{24}{x^4}. If f''(x)>0, then it's a minimum. If f''(x), then it's a maximum. If f''(x)=0, the test fails. So, f''(\frac{8}{5})=\frac{10}{\frac{8}{5}^3}-\frac{24}{\frac{8}{5}^4}=-\frac{625}{512}, which means (\frac{8}{5},\frac{41}{16}) is a local maximum.

D) Now set the second derivative equal to 0 and solve:

f''(x)=\frac{10}{x^3}-\frac{24}{x^4}

0=\frac{10}{x^3}-\frac{24}{x^4}

0=10x-24

-10x=-24

x=\frac{24}{10}

x=\frac{12}{5}

We then test where f''(x) is negative or positive by plugging in test values. I will use -1 and 3 to test this:

f''(-1)=\frac{10}{(-1)^3}-\frac{24}{(-1)^4}=-34, so the function is concave down on the interval (-\infty,0)\cup(0,\frac{12}{5})

f''(3)=\frac{10}{3^3}-\frac{24}{3^4}=\frac{2}{27}>0, so the function is concave up on the interval (\frac{12}{5},\infty)

The inflection point is where concavity changes, which can be determined by plugging in x=\frac{12}{5} into the original function, which would be f(\frac{12}{5})=1+\frac{5}{\frac{12}{5}}+\frac{4}{\frac{12}{5}^2 }=\frac{43}{18}, or (\frac{12}{5},\frac{43}{18}).

E) See attached graph

5 0
2 years ago
Find the area of the polygon​
Lena [83]

Answer:

Finally I can answer omg been trying to answer for a while but that bot was holding me back Lol

Answer: 286

Step-by-step explanation:

25 × 16 = 400 19 × 6 = 114 400 - 114 = 286 therefore 286 is the answer hope that helps!

5 0
3 years ago
50. If angles are complementary, what’s value of x?
maks197457 [2]

Answer:

x = 14

Step-by-step explanation:

For complementary angles, the sum of two angles is equal to 90 degrees.

We have,

m\angle ABC = 4x-10\\\\m\angle DBC = x+30

ATQ,

4x-10+x+30=90

Taking like terms together,

4x+x =90-30+10

5x = 70

x = 14

So, the value of x is 14.

6 0
2 years ago
Find the x value in the isosceles triangle shown below.
stiks02 [169]

Answer:

X=^49

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • What is the slope of points -3,-3 (-3,10?)​
    14·1 answer
  • Terri played 70 tournament chess games during the school year and won 49 of them. What is her win-to-loss ratio?
    9·1 answer
  • What are three names for a polygon that has four equal sides and no right angles?
    13·2 answers
  • I need help ASAP please help giving brainlist
    12·1 answer
  • The average weight of a newborn panda is 0.2, or 2/10 pound. Between what two integers is the weight of a newborn panda?​
    11·1 answer
  • A bird can fly at an elevation of 6400 meters. A fish can swim at a depth of 500 meters. What is the difference between the bird
    9·2 answers
  • Solve the equation on the interval [0, 2pi): 12cos^2 x-9=0<br><br><br> What to do?
    13·1 answer
  • What is one-half of the product of the following?
    12·2 answers
  • An aircraft costs $2954 dollars per hour to operate. The algebraic expression 2954t gives the total cost to operate the aircraft
    12·1 answer
  • Please answer this question.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!