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
enyata [817]
1 year ago
12

A supermarket increases the prices of some grocery items by 10%.

Mathematics
1 answer:
Juli2301 [7.4K]1 year ago
6 0

Answer:

(a) $1.98

(b) $6.30

Step-by-step explanation:

(a)

The new value =

1.80 + The value of the percentage increase =

1.80 + (10% × 1.80) =

1.80 + 10% × 1.80 =

(1 + 10%) × 1.80 =

(100% + 10%) × 1.80 =

110% × 1.80 =

110 ÷ 100 × 1.80 =

110 × 1.80 ÷ 100 =

198 ÷ 100 =

1.98

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 1.80 =

1.98 - 1.80 =

0.18

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

10% × 1.80 =

10 ÷ 100 × 1.80 =

10 × 1.80 ÷ 100 =

18 ÷ 100 =

0.18

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

1.80 increased by 10% = 1.98

The actual change:

1.98 - 1.80 = 0.18

(b)

Calculate the New value
The new value =

42.0 + The value of the percentage increase =

4.20 + (50% × 4.20) =

4.20 + 50% × 4.20 =

(1 + 50%) × 4.20 =

(100% + 50%) × 4.20 =

150% × 4.20 =

150 ÷ 100 × 4.20 =

150 × 4.20 ÷ 100 =

63,000 ÷ 100 =

630

(but its as a dollar so its 6.30)

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 4.20 =

6.30 - 4.20 =

2.10

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

50% × 4.20 =

50 ÷ 100 × 4.20 =

50 × 4.20 ÷ 100 =

21,000 ÷ 100 =

210

(but its as a dollar so its 2.10)

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

4.20 increased by 50% = 6.30

The actual change:

6.30 - 4.20 = 2.10

You might be interested in
345 degrees to a radion​
miv72 [106K]

We convert degrees to radian by multiplying by  (

\frac{\pi}{180})

=  (345)  ×  (  \frac{\pi π}{180} )

=  (\frac{345}{180})  ×  (π)

=  1.9166π

=  1.9166  ×  3.14

=  6.018 rad

≈  6.02 rad

4 0
3 years ago
(-2)2+3 × (-5) <br> please helpe me answer this question
Tpy6a [65]

Answer:

(−2)(2)+(3)(−5)

=−19

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Factor 2a^5b + 2a^4b^2 + 2a^3b^3.
geniusboy [140]
2a^5b + 2a^4b^2 + 2a^3b^3=2a^3b\cdot a^2+2a^3b\cdot ab+2a^3b\cdot b^2\\\\=\boxed{2a^3b(a^2+ab+b^2)}
7 0
3 years ago
??????????????????????
ale4655 [162]

Answer:

Area = 58 \ units^2

Step-by-step explanation:

We can start by finding the third side of the triangle/the side of the square using the Pythagorean Theorem:

a^2+b^2=c^2

In this case the side length of the square would be represented by the variable "c" as it is the hypotenuse:

3^2+7^2=c^2

9+49=c^2

c^2=58

c=\sqrt{58}

Since the area of a square is the side length square then...

Area =( \sqrt{58} )^2

The square root and the squared cancel out giving us...

Area = 58 \ units^2

3 0
2 years ago
What is the solution to the system of equations represented by these two lines?
Andrei [34K]

Answer:

(3,2)

Step-by-step explanation:

this is an intersecting lines which means it has one solution

8 0
2 years ago
Other questions:
  • Guys, please help out.
    12·1 answer
  • What is the answer for 3÷4-1
    8·2 answers
  • What is the equivalent fraction for 3,2,6,4 whole number?
    12·1 answer
  • Apply the Distributive Property to Simplify the Expression<br> 3(36)
    12·2 answers
  • What is one important thing you have to do before solving a word problem?
    12·1 answer
  • Determine the equation of the circle graphed below.
    15·1 answer
  • I do not understand this
    5·1 answer
  • Can you help me on question 17?!
    12·1 answer
  • 85 x + 1.09 = 96.90<br> i need help
    13·1 answer
  • Does the graph represent a function?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!