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Olenka [21]
3 years ago
14

You are creating an emergency fund and decide to place $415.00/month in an account that earns a 3.75 APR. How much interest accr

ues by the end of the first full month?
Mathematics
1 answer:
hoa [83]3 years ago
4 0

At the end of the first full month the interest acquires is $ 1.30.

<u>Step-by-step explanation:</u>

Since we are looking for the interest for full month, we have to divide the APR by 12.

Because APR is the interest amount for the full year.

So 3.75 % = 3.75/100 = 0.0375

Now multiplying, we will get

415 × 0.0375/12 = $ 1.30

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Which expression is equivalent to the following complex fraction?
tatyana61 [14]
\dfrac{\frac{x}{x-3}}{\frac{x^2}{x^2-9}}=\dfrac{x(x^2-9)}{(x-3)x^2}=\dfrac{x(x+3)(x-3)}{(x-3)x\cdot x}=\dfrac{x+3}{x}

Answer C.

3 0
3 years ago
Question 2
xz_007 [3.2K]

The correct answer is: x = 8 (Option D)

Explanation:

Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).

It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,

BC = 20

FE = 3x - 4

Since,

BC = FE (By using congruence statement mentioned above)

20 = 3x - 4

3x = 20+4

3x = 24

x = 8

Hence the correct answer is: x = 8

6 0
2 years ago
The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. F
musickatia [10]

Answer:

P(X \geq 1)=1-P(X

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

X \sim Binom(n=2, p=0.01)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(x \geq 1)=1-P(X

And we can find the probability:

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

5 0
2 years ago
PLSSSSS HELP I HAVE BEEN STUCK ON THIS FOR THE PAST HOUR!!!!!!!!!!!!!!!!!!!!!!!!!
vladimir1956 [14]

Answer:

- 6 \sqrt{2}

Step-by-step explanation:

simplify

\sqrt{28800}

to

120 \sqrt{2}

then

-0.05 × 120 = -6

then we have our answer

-6√2

6 0
3 years ago
At the beginning of school you set-up a 4 digit pin to get into your My Payments Plus account, however you have not used your ac
djverab [1.8K]

Answer:

Given that only the first digit and a range of four possible numbers for the second digit of the four digit pin number are remembered, the number of different possible combinations are 400 (possible combinations)

Step-by-step explanation:

The given information are;

The number of digits contained in the pin = 4 digits

The number of digits that can be the first number = 1 (given that the first digit is 4)

The number of digits that can be the second number = 4 (6, 7, 8, or 9)

Therefore, we have;

The number of digits that can be the third number = 10 (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9)

Similarly, the number of digits that can be the fourth number = 10

Therefore, the total number of possible combinations are;

1 × 4 × 10 × 10 = 400 possible combinations.

3 0
3 years ago
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