A drinks manufacturer is reducing the sugar content of one of their fizzy drinks by 8% per year over the next
3 years.
The sugar content of a standard can is currently 35 grams.
Calculate the sugar content of a standard can after 3 years.

Answers

Answer 1

Answer:

27.25408 grams

Step-by-step explanation:

For each year, we subtract 8% of the sugar content. Therefore, for the first year, we subtract 8% from the original sugar content of 35 to get

sugar content - 8% of the sugar content = 35 - 8% of 35 = 35 - 0.08 * 35 = 1 * 35 - 0.08 * 35 = 0.92 * 35. It can therefore be concluded that subtracting 8% of the sugar content is the same as multiplying the current sugar content by 0.92. We do this every year, so the second year is (0.92 * 35) * 0.92 and the third year is ((0.92 * 35) * 0.92) * 0.92 = 27.25408 grams

A pattern develops, and that is that we multiply by 0.92 each year. Therefore, for x years, we multiply by 0.92 x times or 0.92ˣ as a whole. Therefore, our equation can be written as 0.92ˣ * original amount = 0.92ˣ * 35


Related Questions

Which expression correctly represents "six more than the product of five and a number, decreased by one"? 6 5 n minus 1 6 5 n minus 1 6 5 (n minus 1) (6 5) n minus 1.

Answers

The expressioon correctly represents "six more than the product of five and a number, decreased by one" is 6 + 5 (n minus 1), the correct option is C.

What is expression?

An expression is a sentence with a minimum of two numbers and at least one math operation.

This math operation can be addition, subtraction, multiplication, and division.

Given

The expression correctly represents "six more than the product of five and a number, decreased by one".

The expressioon correctly represents "six more than the product of five and a number, decreased by one" is;

= 6 + 5 (n minus 1)

Hence, the expressioon correctly represents "six more than the product of five and a number, decreased by one" is 6 + 5 (n minus 1).

To know more about expression click the link given below.

https://brainly.com/question/553729

Session 1
15.
What is the circumference of a circle with a radius of 4 inches?
Use 3.14 for pie
Write the answer in the box.
inches

Answers

To calculate the circumference of a circle, we use the formula : 2πr

Replace the numbers in : 2π4 = 8 x 3.14 = 25.12

Find the area of the figure. Use 3.14 for r
I 10 in
11 in
A. 94.25 in2
B. 188.5 in 2
C. 133.5 in2
D. 149.25 in2

Answers

Answer:

c

...

...

...

...

...

...

...

..

a 120cm long piece of wood is cut into 5
[tex]5 \frac{1}{4} [/tex]
cm long pieces. How many such pieces will you get? ​

Answers

1/4 = 0.25
0.25+ 5 + 5.25
120 /5.25
= 22.9 pieces

helppppppppppppppppoppppppppp

Answers

Answer:

a. 13x and 8x +5x

B 8.1 + 8.3y and 8+24y

First one is a and d
Second one is b and c

PLEASE HELP I NEED TO MAKE A COMPOUND INEQUALITY (I ATTACHED THE IMAGE THIS TIME)

Answers

Answer:

I think you need to draw it with graph.

Step-by-step explanation:

Kareem plans to get eight hours of sleep but looses a half hour of sleep every time his dog barks. Therefore between his hours of sleep (h) and number of dog barks (b) will be:

h = 8 – (b/2)

So that if b = 0,

Kareem’s hours of sleep:

h = 8-(0/2)

= 8-0

= 8

if b = 5

h = 8 -(5/2)

h = (16-5)/2

h = 11/2

h = 5.5

And...Draw a graph about it

Hope this help you.

It nearly took me about a life to understand the question :")

I will mark brainliest / About Solving linear and quadratic equations i need help in these two questions because I didn't understand them well.

Answers

Answer:

x= 6 and y=5. i think

Step-by-step explanation:

because the height is at the number 5 and the arrow. same goes for the x

this is for the picture

Use the diagram below to answer this question.

Find the length of the skid marks.

Just write the number, do not put the unit of measure.

Answers

Answer:

700 is your answer I think I'm not good at math so if it is wrong sorry

A. 124ft
B. 125ft
C. 126ft
D. 123ft

Answers

Answer:

[tex] \sqrt{950} [/tex]

Step-by-step explanation:

3800=4(x^2)

x^2=950

(b) A private club grew by 7 members each week for 56 weeks. What was the total change in the
club's size?
members

Answers

1 is the answer trust me

pls help me!
Simplify [tex]2a * a * 3a + b * 4b[/tex]

Answers

Answer:

6a³ + 4b²

Step-by-step explanation:

2a × a × 3a = 2 × 3 × a × a × a = 6a³

b × 4b = 4b²

putting these together gives 6a³ + 4b²

Hello!

Let's multiply the terms together.

First, let's multiply the a's.

[tex]\bold{2a*a*3a}[/tex]

[tex]\bold{2a^2*3a}[/tex]

[tex]\bold{6a^3}[/tex]

Step-by-step calculations:

2*3=6

a*a*a=a³

6*a³=6a³

Same with the b's:

[tex]\bold{4b^2}[/tex]

Calculations:

b*4b

b=1b

1*4

b*b

4b²

[tex]\huge\boxed{\boxed{\mathfrak{\star{Answer:{\boxed{\bf{6a^3~+4b^2}}}}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

[tex]\boxed{An~Emotional~Helper}[/tex]

using the rearrangement property find the sum of the following ​

Answers

So you have to simplify



(9 x 10 x 18) 2 + (5 x 10 x 18) (-7) + (5 x 9 x 18)

(-11) + (5 x 9 x 10)

5 x 9 x 10 x 18

1620 x 2 + 900 (-7) + 810(-11) + 450 x 5
x 5 x 9 x 10 x 18

The answer would be -6/5

Which ratio is equivalent to 3:6

Answers

Answer:

I can't see what the options are, but any fraction equal to 1/2 will be equal to 3:6.

Step-by-step explanation:

Treat a ratio like a fraction. In this case, 3 is the numerator and 6 is the denominator. If you reduce 3/6, you get 1/2. Fractions/ratios also equal to 1/2 or 3/6 are:

2:4

4:8

5:10

6:12

7:14

8:16

9:18

10:20

If any of these ratios are not one of the options, comment below with the choices and I will help you narrow it down.

Answer:

6:12,

Step-by-step explanation:

equivalent ratios are when all numbers in a ratio can be divided or multiplied to get a whole number. for example, 3:6. the 3 can be multiplied by 2 to get 6, and the 6 can be multiplied by 2 to get 12.

anyways bye taniya from concord

Please help, really confused

Answers

I don’t know if you need help on #10

11. The probability is 3/9 or 1/3
12. The probability is also 3/9 or 1/3
13. The probability is 8/9
14. The probability is 4/9

WILL GIVE BRAINLIEST PLS ANSWER FAST IM IN HUGE RUSH
What is the density of a metal with a mass of 450 grams and a volume of 5 cubic centimeters?
A. 50 g/cm cubed
B. 90 g/cm cubed
C. 250 g/cm cubed
D. 225 g/cm cubed

Answers

Density= gram/volume
D=450g/5cm^3
D= 90g/cm^3

Answer: I’m not sure if I’m right, but I just divided 450 by 5 and got 90! I tried using the calculators for this sort of problems but none were any help. I think B is the one to go with!

Jose created a ball pit for his little sister to play in. He put 40 red balls, 55 purple balls, 45 yellow balls, and 60 green balls into the ball pit. While his sister is playing, one ball rolls out of the pit. What is the probability that the ball is red?

Answers

Answer:

0.20

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

(please help!! look at the images here)

Answers

Answer:

On friday the chef made about 0.8333 batches or 7.5/9 of a batch of ice cream.

On thursday the chef made about 0.67 batches or 2/3 of a batch of icecream

Step-by-step explanation:

A tree is growing on a hill. In an attempt to make the tree grow straight up, a 12-foot-long wire is attached to a tree at a point 6 feet off the ground. The wire is anchored to the ground 10 feet from the base of the tree. At what angle is the tree growing in relation to the hill?.

Answers

The angle between the sides 6 feet and 10 feet is 93.82 degrees by using the cosine rule.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a triangle.

A tree is growing on a hill.

In an attempt to make the tree grow straight up, a 12-foot-long wire is attached to a tree at a point 6 feet off the ground.

The wire is anchored to the ground 10 feet from the base of the tree.

We know that the cosine rule is given as

[tex]\rm Cos \theta = \dfrac{a^{2} +b^{2} - c^{2} }{2ab}[/tex]

We have

a = 6

b = 10

c = 12

Then angle will be

[tex]\rm Cos \theta = \dfrac{6^{2} +10^{2} - 12^{2} }{2*6*10}\\\\\rm Cos \theta = \dfrac{36+100-144}{120}\\\\\rm Cos \theta = \dfrac{-8}{120}\\\\\theta \ \ \ \ \ = cos^{-1} \dfrac{-8}{120} \\\\\theta \ \ \ \ \ = 93.82[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

c. 93.8

Step-by-step explanation:

Got it correct

QUESTION :-

If ( + ) means ( - ) , ( - ) means ( × ) , ( ÷ ) means ( + ) , ( × ) means ( ÷ )
Then ,

15 - 3 + 10 × 5 ÷ 5 = ?

a ) 42
b ) 48
c ) 5
d ) 50

i need a proper explanation how u got the ans , only ans if u know the ans ..

Thx for answering ¡¡​

Answers

15 - 3 + 10 × 5 ÷ 5 = ? Hence, 48 is the correct answer.

By inserting codes and then using BODMAS Rule:

15 × 3 - 10 ÷ 5 + 5

15 x 3 = 45. Now 10 divided by 5 is 2 and keep the other 5 so:

= 45 - 2 + 5 = 48

I HOPE THIS HELPED YOU.

You are playing a math game, right?

Well anyways, I will solve this for you!!

Let's see the symbols clearly then we will solve

+ = - - = ×÷ = +× = ÷

Now, Substitute the symbols in the original expression

Original expression:

[tex] \sf \: 15 - 3 + 10 \times 5 \div 5[/tex]

New expression:

[tex] \tt \: 15 \times 3 - 10 \div 5 + 5[/tex]

Solution for the equation ;

[tex] \bf \: 15 \times 3 - 2 + 5[/tex]

[tex] \bf \: 45 - 2 + 5[/tex]

[tex] \bf \underline{ \underline {48}}[/tex]

The diameter of a circle is 24 millimeters. What is the circle's circumference? Use 3.14 for .​

Answers

Answer:

C=75.4

Step-by-step explanation:

Answer:

c = 75.36 mm

Step-by-step explanation:

r=D/2=24/2=12mm

[tex]c=2\pi r[/tex]

[tex]c=2(3.14)(12)=75.36mm[/tex]

Hope this helps

I need help solving this

Answers

Answer:

  AD ≈ 80

Step-by-step explanation:

The Pythagorean theorem can be used to write and solve relations between the various edges and diagonals.

AE is the hypotenuse of ΔABE, so you have ...

  AE² = AB² +BE²

  BE² = AE² -AB² = 65 -52 = 13

__

AD is the hypotenuse of ΔACD. We presume the figure is a rectangular prism, so CD = BE. Then you have ...

  AD² = AC² +CD²

  AD² = 80² +13 = 6413 . . . . . CD² = BE² = 13

  AD = √6413 ≈ 80.081

  AD ≈ 80

16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.

Answers

Answer:

yes it is bcz if you do 6^2+8^2 you get 10

The float committee made a scale model of their float before they started construction. 1 inch = 3 feet to create their model. The actual float will be 18 feet long

Answers

It can be deduced from the scale computed that the model will be 648 inches.

How to solve the scale

Since 1 foot = 12 inch

18 feet = 12 × 18 = 216 inches.

In this case, since 1 inch = 3 feet was used to create their model, the model in their scenario will be:

= 216 × 3

= 648 inches.

In conclusion, the model is 648 inches.

Learn more about scale on:

https://brainly.com/question/261465

what is the area of the image below rounded to the nearest whole number?​

Answers

Answer:

189

Step-by-step explanation:

step 1: calculate area of rectangle

Area = l × b

= 10× 15

= 150

step 2: calculate area of half a circle

Area = 1/2 (π.r²)

= 1/2 (22/7 × 5²)

=157/4

step 3: Add the area of rectangle and half a circle together

Area = 157/4 + 150

= 189.26

rounded off to the nearest whole = 189

which point represents the vertex of the marked angle

Answers

Answer: E Step-by-step
explanation: Given : AEC To
Find: Which point represents
the vertex

Write the equivalent expression to -(5x – 2) - (10x + 72°) in standard form:
-
-

Answers

Answer: -35x3 - 39x2 + 25x
Step-by-step explanation: Step
1: Write out expression (5x

Factroise completely
24x² + 20x
..........................​

Answers

Answer:4x(6x+5)

Step-by-step explanation:

I think that's what it is.

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANK YOU

Answers

Should be C because that’s the answer that i am giving

If 500 grams of grapes cost 2.80. Find the cost of 1.2 kg of grapes.

Answers

Answer:

The answer is 6.72

Step-by-step explanation:

Given;If 500 grams of grapes cost 2.80.

Here, if we double the amount of grapes and money we get,

2 (500) = 1000g

2 (2.8) = 5.6

So, for 1000 g it costs 5.6

and for 100 g it costs 0.56

We need to find the cost 1.2 kg of grapes

So,

5.6 + 0.56 + 0.56 = 6.72

Thus, The cost of 1.2 kg of grapes is 6.72

-TheUnknownScientist 72

Answer:

6.72

Step-by-step explanation:

Cost of 500 grams = 2.8

Cost of 1 gram = 2.8/500 = 0.0056

Cost of 1.2 kg = ?

1.2 kg = 1,200 g

Cost of 1.2 kg:

= 0.0056 × 1,200

= 6.72

________

Hope it helps ⚜

What are the asymptotes for this graph!!!

Answers

Answer: Y=0 for sure, I'd need a more exact graph to tell you other ones.

You might get away with  0<=y<4

Step-by-step explanation: Asymptote is anywhere the graphs will never cross,

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