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Tcecarenko
3 months ago
13

liquid product with 10% product solids is blended withsugar before being concentrated (removal of water) to obtaina final produc

t with 15% product solids and 15% sugarsolids. Determine the quantity of final product obtainedfrom 200 kg of liquid product. How much sugar is required?Compute mass of water removed during con
Mathematics
1 answer:
lawyer [12.5K]3 months ago
7 0

Answer:

The mass of the water removed is 66.67 kg

Step-by-step explanation:

Given data

The solids blended with sugar make up 10%.

Final product achieved = 15% product.

Final product contains = 15% sugar solids.

The initial product weighs = 200 kg

Solution

Here, we find the needed sugar amount as follows:

The amount of sugar required = 200 × \frac{10}{100}

Thus, the needed sugar = 20 kg

We recognize that total solids = product solids + sugar solids...............1

Also, the initial product equals the final product.

So,

0.20 × 200kg= 0.30 × total mass of the final product

The mass of the final product = 133.33 kg

However,

the final product contains 15% product solids and 15% sugar solids, which means that the amount of product solids equals the sugar solids.

Thus, the mass of water removed = 200 kg - 133.33 kg.

The mass of the water removed is 66.67 kg.

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3 months ago
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Read 2 more answers
Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the corre
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To find the solution, we will utilize the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A represents the total amount after t years
tex]P[/tex] indicates the original investment 
r signifies the interest rate expressed in decimal
n shows the frequency of compounding per year
t indicates the duration in years

According to our problem, the initial investment is <span>$30,000 with a duration of ten years, thus </span>P=30000 and t=10. Interest is compounded annually, so n=1. To convert the percentage interest rate into decimal, we divide it by 100%
r= \frac{7.9}{100}
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Now, we can insert these values into our formula:
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A=3000(1+0.079)^{10}
Substituting A with P_{10}:
P_{10}=3000(1+0.079)^{10}

Consequently, we find that the correct answer is D. P_{10}=3000(1+0.079)^{10}

Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation: 
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Thus, we conclude that Yolanda will end up with $64,170.54 in her account after a decade of earning <span>at a compound interest rate of 7.9% yearly.</span>
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