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3 years ago

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Mr. Morgan ingested $20,000 dollars in an account earning 4.5% annual interest. How many years would it take for him to earn $5,

400 in simple interest?
I know the answer is 6 but I just don’t know HOW

1 answer:

satela [25.4K]3 years ago

7 0

Answer:

6

Step-by-step explanation:

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What is the equation of the line??

Wittaler [7]

Answer:

x = 0

Step-by-step explanation:

This is a vertical line, in fact the y- axis

The equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through

All of the x- coordinates on the y- axis are zero, then

x = 0 ← equation of line

7 0

3 years ago

4(4m-3)-m(m-5)=-52 need all the steps

nadezda [96]

$\huge\mathcal {♨Answer♥}$

$\large\texttt{Simplifying: }$

4(4m -3) + -1m(m + -5) = -52

$\large\texttt{Reorder the terms: }$

4(-3 + 4m) + -1(m + -5) = -52

(-3 * 4 + 4m * 4) + -1(m + -5) = -52

(-12 + 16m) + -1(m + -5) = -52

$\large\texttt{Reorder the terms: }$

-12 + 16m + -1(-5 + m) = -52

-12 + 16m + (-5 * -1 + m * -1) = -52

-12 + 16m + (5 + -1m) = -52

$\large\texttt{Reorder the terms: }$

-12 + 5 + 16m + -1m = -52

$\large\texttt{Combine like terms: }$

-12 + 5 = -7

-7 + 16m + -1m = -52

$\large\texttt{Combine like terms: }$

16m + -1m = 15m

-7 + 15m = -52

$\large\texttt{Solving: }$

-7 + 15m = -52

-7 + 7 + 15m = -52 + 7

$\large\texttt{Combine like terms: }$

-7 + 7 = 0

0 + 15m = -52 + 7

15m = -52 + 7

$\large\texttt{Combine like terms: }$

-52 + 7 = -45

15m = -45

$\large\texttt{Divide each side by '15'. }$

15m ÷ 15 = -45 ÷ 15

m = -3

$\large\texttt{Simplifying: }$

m = -3

<u>☆</u><u>.</u><u>.</u><u>.</u><u>hope this helps</u><u>.</u><u>.</u><u>.</u><u>☆</u>

_♡_<em>mashi</em>_♡_

8 0

2 years ago

SIZIF [17.4K]

Answer: 90%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 9/10 as a percent, we need to find a fraction

equivalent to 9/10 that has a 100 in the denominator.

We can do this by setting up a proportion.

So we have $\frac{9}{10} = \frac{n}{100}$ .

Now, we can use cross-products to find the missing value.

So we have (9)(100) which is 900 <em>is equal</em> to (10)(n) or 10n.

So we have 900 = 10n.

Next, dividing both sides of the equation by 10, we have <em>90 = n</em>.

So, 9/10 is equal to 90/100 or 90%.

7 0

3 years ago

Factor -1/4 out of -1/2x-5/4y

lapo4ka [179]

-1/4(2x+5y)

Hope I helped :)

6 0

4 years ago

A quiz consists of six multiple choice questions. Each question has four choices. A student who forgot to study guesses randomly

jeka94

Answer:

0.9945 = 99.45% probability that the student answers at most four questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student answers correctly, or he/she does not. The probability of the student answering a question correctly is independent of any other question. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A quiz consists of six multiple choice questions.

This means that $n = 6$

Each question has four choices. Student guesses randomly.

This means that $p = \frac{1}{4}$

What is the probability that the student answers at most four questions correctly?

This is:

$P(X \leq 4) = 1 - P(X > 4)$

In which

$P(X > 4) = P(X = 5) + P(X = 6)$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{6,5}.(0.25)^{5}.(0.75)^{1} = 0.0053$

$P(X = 6) = C_{6,6}.(0.25)^{6}.(0.75)^{0} = 0.0002$

$P(X > 4) = P(X = 5) + P(X = 6) = 0.0053 + 0.0002 = 0.0055$

$P(X \leq 4) = 1 - P(X > 4) = 1 - 0.0055 = 0.9945$

0.9945 = 99.45% probability that the student answers at most four questions correctly

6 0

3 years ago