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2 years ago

1

Mathematics

1 answer:

Lena [83]2 years ago

4 0

Answer:

7.5kg

Step-by-step explanation:

Given that:

Monday:

Mass of sand = 24 kg

Mass of cement = 5 kg

Tuesday :

Mass of sand = 36 kg

Let mass of cement = c

Mass of cement required to make the same type of mortar mix

Mass of Sand = mass of cement

24kg = 5kg

36kg = c

By cross multiplication :

24 * c = 5 * 36

24c = 180

Divide both sides by 24

c = 180 / 24

c = 7.5 kg

Hence mass of cement required is 7.5 kg

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3 years ago

Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00

Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

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Where A is the amount after 't' years.

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n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

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Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

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Putting all the given values in the formula to find P.

$15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88$

So, <em>the principal must be = $8991.88</em>

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2 years ago

Martha is carrying her biology, science, and math textbooks. Her books weigh a total of 9 pounds. Her biology textbook weighs 3

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