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3 years ago

Explain the steps of adding decimals

1 answer:

4 0

Line the decimal points up. Then add like you normally would, but put down the decimal directly where you have it lined up.

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The expression f(x) = 12(1.035)* models the monthly growth of membership in the new drama club at a school. According to the fun

olga nikolaevna [1]

Answer:

The monthly growth rate is 3.5%.

Step-by-step explanation:

The exponential growth function is given as follows:

$y=a(1+r)^{x}$

Here,

y = final value

a = initial value

r = growth rate

x = time taken

The provided expression for the monthly growth of membership in the new drama club at a school is:

$f(x) = 12\cdot(1.035)^{x}$

Comparing this function with the exponential growth function:

$a(1+r)^{x}=12(1.035)^{x}\\\\a(1+r)^{x}=12(1+0.035)^{x}$

Then value of r is 0.035 or 3.5%.

Thus, the monthly growth rate is 3.5%.

7 0

3 years ago

Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss

katrin [286]

Answer:

Step-by-step explanation:

8 0

3 years ago

Please show work Thank uuuu :)

hjlf

2 boxes for $6.00 5 Bars each is 10 bars for $6.00 or $3.00 for 5 bars

so $6.00 divided by 10 =.60 or 60 cents per bar

12 bars for $7.44 is $7.44 divided by 12 =.62 or 62 cents per bar

so the difference between 60 cents and 62 cents is

2 cent Difference

3 0

3 years ago

Solve for n in the proportion 7/3 = n/21.

erastova [34]

Given ,

7/3 = n/21

We need to find the value of n,

Cross multiplying,we get

3n = 21 x 7

=> 3n = 147

=> n = 147/3

=> n = 49 is the required answer

7 0

8 months ago

A cold tablet contains the following amounts of active ingredients: acetaminophen 325 mg, chlorpheniramine maleate 2 mg, and dex

kakasveta [241]

Answer:

The number of tablets that can be prepared is 3076.

Step-by-step explanation:

The total amount of active ingredients in the tablet is the sum of the amounts provided in the formula:

$325 mg + 2mg+15 mg=342 mg$

The percentages of each component in the formula are:

Acetaminophen: $\frac{325mg*100}{342mg}=95.03$ %

Chlorpheniramine maleate: $\frac{2mg*100}{342mg} =0.58$ %

Dextromethorphan hydrobromide: $\frac{15mg*100}{342mg}=4.39$ %

If 1 Kg= $10^{6}$ mg of acetaminophen is used, the needed amount of chlorpheniramine maleate would be:

$\frac{10^{6} mg *0.58}{95.03}=6153.85 mg$

Since there are 125 g = 125000 mg of chlorpheniramine maleate, there is enough of these ingredient to run the available acetaminophen out. Thus, the total amount of active ingredients that can be prepared with 1 kg of acetaminophen is:

$\frac{10^{6}mg*100}{95.03}=1052307.7mg$

Since each tablet weighs 342 mg, the number of tablets that can be prepared is:

$\frac{1052307.7mg}{342mg}=3076.923$

Which means that 3076 tablets can be prepared and a there will be a remanent of 0.923*342 mg = 315.69 mg of active ingredients.

7 0

3 years ago