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steposvetlana [31]
2 years ago
11

Roberta invested $600 into a mutual fund that paid 4% interest each year compounded annually. Write an exponential function of t

he form y=a(b)x to describe the value of the mutual fund then use that function to determine the value of the mutual fund in 15 years
Mathematics
2 answers:
Oksanka [162]2 years ago
8 0

Answer:

The exponential equation is <em>A = 600(1.04)^15</em>

<em></em>

The value of the mutual fund after 15 years is <em>$1,081</em>

Step-by-step explanation:

The  value of the mutual fund after the number of years can be represented using the compound interest  equation below;

A = P(1 + r/n)^nt

Where A is the value of the mutual fund after 15 years, P is the initial amount invested which is $600, r is the interest rate which is 4% or 0.04(4% = 4/100 = 0.04), n is the number of times we are compounding per year(which is 1 since it is a one time payment per year) and t is the number of years which is 15

Let's plug these values, we have;

A = 600(1 + 0.04/1)^15

A = 600(1.04)^15

A = $1,081 approximately

bonufazy [111]2 years ago
6 0

Answer:

y = 600*(1.04)^t

for t = 15: y = $1080.57

Step-by-step explanation:

The exponencial function y = a(b)x have the following variables:

a: inicial value

b: rate of interest plus one

x: time invested

So, if the inicial value invested is 600, the rate is 4% and the time is 15 years, we have that the equation is:

y = 600*(1+0.04)^t = 600*(1.04)^t

And for time t = 15 years, we have that:

y = 600*(1.04)^15 = $1080.57

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Answer:

The smallest bag that has enough food to feed his bag for one month

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Step-by-step explanation:

The quantity of dry food Ray feeds his dog = 0.12 kilogram

So the quantity of food he feeds his dog in one month

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The smallest bag that has enough food to feed his bag for one month

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4 0
2 years ago
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A California distributor of sporting equipment expects to sell 10,000 cases of tennis balls during the coming year at a steady r
sleet_krkn [62]

Economic Order Quantity

The economic order quantity, that is, the order quantity that minimizes the inventory cost is:

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Economic Order Quantity (EOQ) = square root of (2 * Annual Demand/Sales * Ordering cost)/Carrying cost per case

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This implies that the distributor will place about 33 orders in the coming year.  With each order, the quantity placed is 300 units.  This is the economic order quantity that will minimize its inventory cost for the year.

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A friend tells you that he has a cubic equation with exactly three complex roots. Determine which explanation best explains why
Ksju [112]
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if complex solutions come in pairs, well, clearly a cubic equation can't yield 3 only.
3 0
2 years ago
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Aleksandr-060686 [28]
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I hope I got that right!!
okay, now they are all separated in columns, add the ones with the same powers (e.g (1)_ 1.3t^3 + (2) 1.3t^3 + (3) 1.9 t^3 = 4.5t^3.  

3 0
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