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jenyasd209 [6]
2 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]2 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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Answer: The factorization of  28+56t+28w =28(1+2t+w)

The factors of 28+56t+28w are 28 and 1+2t+w.

Step-by-step explanation:

The given expression : 28+56t+28w

To factorize it, we need to find the common factor.

As 56 can be written as 2 x 28.

So, the above expression would become

28+2\times28t+28w

Now, taking 28 as common from all the terms, we will get

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Thus, the factorization of  28+56t+28w =28(1+2t+w)

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6 0
2 years ago
A standard number cube has 6 sides labeled 1 to 6. apu rolls a standard number cube 30 times. How many times can
Leviafan [203]

Answer:

The expected value of rolling a 5 or 6 is 10.

Step-by-step explanation:

The sample space of rolling a standard number cube is:

S = {1, 2, 3, 4, 5 and 6}

The cube is standard, this implies that each side has an equal probability of landing face-up.

So, the probability of all the six outcomes is same, i.e. \frac{1}{6}.

Now it is provided that Apu rolls the cube <em>n</em> = 30 times.

Let the random variable <em>X</em> represent the value on the face of cube.

The event of rolling a 5 and rolling a 6 are mutually exclusive, i.e. they cannot occur together.

So, P (X = 5 and X = 6) = 0.

Compute the probability of getting a 5 or 6 as follows:

P (X = 5 or X = 6) = P (X = 5) + P (X = 6) - P (X = 5 and X = 6)

                            = P (X = 5) + P (X = 6)

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Compute the expected value of rolling a 5 or 6 as follows:

E(X = 5\ \text{or}\ X = 6)=n\times P(X = 5\ \text{or}\ X = 6)

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8 0
2 years ago
Identificati,prin verificare,ecuatia pentru care numarul x=3 este solutia
elena-s [515]

Answer:

concluzionăm că nu există o ecuație care să poată justifica valoarea x = 3 din opțiunile de mai sus după rezolvarea lor

Step-by-step explanation:

Urmează să aflăm din cele trei opțiuni date, care este una dintre opțiuni care rezultă în x = 3

Să rezolvăm opțiunea una după cealaltă pentru a deduce și determina care este răspunsul corect și corect.

a) -2*x + 3 = 9

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Împărțiți ambele părți la -2

x = 6/-2

x = -3

b) -4*x +5 = 7

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Împărțiți ambele părți la -4

x = \dfrac{2}{-4} \\ \\  \\ x= \dfrac{1}{-2}

c) \dfrac{1}{3}*x -8 =9

\dfrac{1}{3}x = 9 +8

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Înmulțiți ambele părți cu 3

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Prin urmare; concluzionăm că nu există o ecuație care să justifice valoarea x = 3 din opțiunile de mai sus după rezolvarea lor

5 0
2 years ago
9400 dollars is placed in an account with an annual interest rate of 6.25%. To the nearest tenth of a year, how long will it tak
liubo4ka [24]

Answer:

t=64.2\ years

Step-by-step explanation:

we know that

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5 0
2 years ago
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