All categories

3 years ago

PG © What single decimal multiplier would you use to decrease by 1% followed by a 1% increase?

Mathematics

1 answer:

luda_lava [24]3 years ago

5 0

<h3>Answer: 0.9999</h3>

Explanation:

Having a 1% increase means we go from 100% to 100%+1% = 101% which converts to the decimal form 1.01; note how you move the decimal point two spots to the left to go from 101% to 1.01

A 1% decrease means we go from 100% to 100%-1% = 99% = 0.99

Multiplying 1.01 and 0.99 leads to 1.01*0.99 = 0.9999

Since 0.9999 = 99.99%, this means we have a 100% - 99.99% = 0.01% decrease overall.

Note: the order of the decrease and increase doesn't matter. You could do the decrease first, then the increase, or vice versa.

You might be interested in

One angle of an isosceles triangle measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply.

andre [41]

Answer:

Therefore the correct option is 2. 35 degree.

$\angle ABC=\angle ACB=35\°$

Step-by-step explanation:

Consider an Isosceles Triangle, Δ ABC where,

∠BAC = 110°

TO Find:

∠ ABC = ∠ACB = ?

Solution:

For an Isosceles Triangle

Base Angles are equal

∴ $\angle ABC=\angle ACB=x\ (say)$

Now,

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

$\angle A+\angle B+\angle C=180\\\\110+x+x=180\\\therefore 2x=180-110=70\\\therefore x=\dfrac{70}{2}=35\°$

Therefore,

$\angle ABC=\angle ACB=35\°$

3 0

3 years ago

If : f(x)=x^2, g(x)=x-1. Find (f×g)(x).<br>

kramer

Answer:

$\boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}$

Step by step explanation:

Given that,

$f(x) = {x}^{2}$

$g(x) = x - 1$

Solution:

Solving for (f•g)(x):

$= f(x) \cdot g(x)$

Now substitute the given values.

$= x {}^{2} \cdot(x - 1)$

$= x {}^{2} (x - 1)$

Apply distributive property:

$= (x ^{2} \cdot x) - x {}^{2} \cdot 1$

$\boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}$

Hence,f•g(x) will be $x {}^{3} - x {}^{2}$ .

8 0

2 years ago

24.5 is 33 1/3% of what number?

julia-pushkina [17]

Answer: 73.5

Step-by-step explanation:

The percent <em>33 1/3% </em>represents 1/3 of 100%. We can multiply 33 1/3% by 3 and get 100%. We need to find what 24.5 is 33 1/3% of.

Since 1/3 x 3 = 100%, then 24.5 x 3 must equal the number we're trying to find.

24.5 x 3 = 73.5.

Therefore, 24.5 is 33 1/3% of 73.5. I hope this helps, and good luck!

7 0

3 years ago

What is the commom difference in the following arithmetic sequence??

aalyn [17]

Each increases by a certain amount called the common difference

4.4-2.8=1.6
6-4.4=1.6
7.7-6=1.7
hmm, some error
maybe you meant 7.6

common difference is 1.6

answer is C

5 0

3 years ago

6.012<br> as a mixed number in simplest form.

Novosadov [1.4K]

6 3
------
250
ignore this sentence

4 0

3 years ago

Read 2 more answers