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3 years ago

If you have 50g of sugar and want to make 25% sugar syrup, how much water do you need?

Mathematics

1 answer:

Taya2010 [7]3 years ago

4 0

Answer:

3(50 g) = 150 g

Step-by-step explanation:

If you mean 25% sugar by mass, then 1/4 of the total mass is sugar, and 3/4 is water. So you need 3 times as much water as sugar.

3(50 g) = 150 g

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3 years ago

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3 years ago

Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years

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Answer:

The value of annuity is $P_v = \$ 7929.9$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 250$

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Frequency at which it occurs in a year is n = 4 (quarterly )

The number of years is $t = 10 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]$

$P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]$

$P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ]$

$P_v = \$ 7929.9$

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