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jenyasd209 [6]
3 years ago
6

Andrew deposits $300 into an account that earns 2% interest each year. After the first year, Andrew has $306 in the account. Aft

er the second year, Andrew has $312 in the account, and after the third year, Andrew has $318 in the account.What type of account is this? Explain your reasoning.
Mathematics
1 answer:
Sliva [168]3 years ago
8 0

Answer:

It is a simple interest account

Step-by-step explanation:

As we might see from the given earnings, the amount of money he earned each year is the same as in the previous year. This means that the amount of money is growing linearly instead of exponentialy. This is characteristic to a simple interest account, which is found by using the formula:

I=Prt

where I = interest earned.

P = principal

r = Interest rate

t = time in years,

if we use this formula to calculate the amount of money earned after t years, we can see it will be the same as the values reported:

I=$300(0.02/year)(1year)=$6

I=$300(0.02/year)(2years)=$12

I=$300(0.02/year)(3years)=$18

So this simple interest account.

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Given equation are:

y = -\frac{1}{4}x+8                  ......[1]

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Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.

Slope(m_1) of equation of line in [1] is;

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then;

m_1= -\frac{1}{4}

Slope(m_2) of equation of line in [2];

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Add both sides 2x we get;

-2x + 8y + 2x = 2x + 4

Simplify:

8y = 2x +4

Divide both sides by 8 we get;

y = \frac{1}{4} x + \frac{1}{2}

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An easier way to solving this is to first cancel out the 2's ( multiplying 2 and dividing 2 would do nothing), and just square rooting 100, giving you the answer 10.

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