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Vikki [24]
3 years ago
6

Apple juice and cranberry juice have been mixed in the ratio 4:5. If the price of apple juice is 45 cents per pint and the price

of cranberry juice is $.08 per pint, what should the price of one pint of the mixture be?
Mathematics
1 answer:
Contact [7]3 years ago
3 0
The ratio of apple and cranberry juice is 4:5
The price of 1 pint of apple juice is $0.45
The price of 1 pint of cranberry juice is $0.08
from the ratio given, the price amount of apple juice in the mixture will be:
4/5×0.45=$0.36
the price amount of cranberry juice in the mixture will be:
1/5×0.08=$0.016
the price of the mixture will be given by:
0.36+0.016
=$0.376

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Juli2301 [7.4K]

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

<h3>Transformation of functions</h3>

Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as

f(x) = x^2

If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

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You just purchased two coins at a price of $670 each. Because one of the coins is more collectible, you believe that its value w
DerKrebs [107]

Answer:

The value of first coin will be $151.51 more than second coin in 15 years.

Step-by-step explanation:

You have just purchased two coins at a price of $670 each.

You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.

We have to calculate the first coin's value after 15 years by using the formula

A=P(1+\frac{r}{100})^{n}

Where A = Future value

           P = Present value

           r = rate of interest

           n = time in years

Now we put the values

A=670(1+\frac{7.1}{100})^{15}

A=670(1+0.071)^{15}

A=670(1.071)^{15}

A = (670)(2.797964)

A = 1874.635622 ≈ $1874.64

Now we will calculate the value of second coin.

A=670(1+\frac{6.5}{100})^{15}

A=670(1+0.6.5)^{15}

A=670(1.065)^{15}

A = 670 × 2.571841

A = $1723.13

The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51

The value of first coin will be $151.51 more than second coin in 15 years.

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