Ask question

Ask question

All categories

Ira Lisetskai [31]

3 years ago

6

Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael’s accoun

t balance following these withdrawals?
A.
-$519.25
B.
-$369
C.
$369
D.
$519.25

2 answers:

gulaghasi [49]3 years ago

5 0

Answer:

B

Step-by-step explanation:

Aleks04 [339]3 years ago

4 0

I believe it to be $369

You might be interested in

Find the fifth term in the sequence<br>that is defined as follows:<br>an = 2n

Rainbow [258]

Answer:

$a_{5}=10$

Step-by-step explanation:

If you want to find the 5th term of a sequence or any term you have to substitute n for the desired term in your case the result is the following

$a_{n}=2n\\a_{5}=2(5)\\a_{5}=10$

7 0

3 years ago

The School has budgeted $3,500 for an end- of -year party in the local park. The cost to rent the park shelter is $250. How much

Arisa [49]

Answer:

$5.3

Step-by-step explanation:

<u>1) Ask yourself: How much money is left to spend? </u>

<em>- Subtract the cost to rent the park shelter: </em>

3,500 - 250 = 3,250

<em>- Find the total amount of money spent on gifts for students: </em>

300 * 5.50 = 1,650

<em>- Subtract the total money spent on gifts for students: </em>

3,250 - 1,650 = 1,600

<u>2) Ask yourself: How much can be spent </u><u>per student</u><u>? </u>

<em>- Divide the money left by the number of students: </em>

1,600 / 300 = 5.3

7 0

2 years ago

Help please solve<br> <img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B6x%5E5%2B11x%5E4-11x-6%7D%7B%282x%5E2-3x%2B1

Shkiper50 [21]

Answer:

$\displaystyle -\frac{1}{2} \leq x < 1$

Step-by-step explanation:

<u>Inequalities</u>

They relate one or more variables with comparison operators other than the equality.

We must find the set of values for x that make the expression stand

$\displaystyle \frac{6x^5+11x^4-11x-6}{(2x^2-3x+1)^2} \leq 0$

The roots of numerator can be found by trial and error. The only real roots are x=1 and x=-1/2.

The roots of the denominator are easy to find since it's a second-degree polynomial: x=1, x=1/2. Hence, the given expression can be factored as

$\displaystyle \frac{(x-1)(x+\frac{1}{2})(6x^3+14x^2+10x+12)}{(x-1)^2(x-\frac{1}{2})^2} \leq 0$

Simplifying by x-1 and taking x=1 out of the possible solutions:

$\displaystyle \frac{(x+\frac{1}{2})(6x^3+14x^2+10x+12)}{(x-1)(x-\frac{1}{2})^2} \leq 0$

We need to find the values of x that make the expression less or equal to 0, i.e. negative or zero. The expressions

$(6x^3+14x^2+10x+12)$

is always positive and doesn't affect the result. It can be neglected. The expression

$(x-\frac{1}{2})^2$

can be 0 or positive. We exclude the value x=1/2 from the solution and neglect the expression as being always positive. This leads to analyze the remaining expression

$\displaystyle \frac{(x+\frac{1}{2})}{(x-1)} \leq 0$

For the expression to be negative, both signs must be opposite, that is

$(x+\frac{1}{2})\geq 0, (x-1)$

Or

$(x+\frac{1}{2})\leq 0, (x-1)>0$

Note we have excluded x=1 from the solution.

The first inequality gives us the solution

$\displaystyle -\frac{1}{2} \leq x < 1$

The second inequality gives no solution because it's impossible to comply with both conditions.

Thus, the solution for the given inequality is

$\boxed{\displaystyle -\frac{1}{2} \leq x < 1 }$

7 0

3 years ago

Please help me with the right answer

Lera25 [3.4K]

The three leaders are -

Harriet Tubman - Booker T. Washington - Martin Luther King JR

Reason is that unlike the others they led their fight against racism and discrimination.

6 0

3 years ago

Researchers have discovered a new genetic marker for a form of cancer. Twelve percent of the overall population carry this marke

In-s [12.5K]

Answer:

The probability that a person with the marker develops cancer is 0.0725.

Step-by-step explanation:

Let's denote the events as follows:

<em>A</em> = a person has cancer

<em>B</em> = a person carries the marker.

<u>Given:</u>

P (A) = 0.03

P (B) = 0.12

P (B|A) = 0.29

The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:

$P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}$

Use the conditional probability formula to compute the probability that a person with the marker develops cancer.

$P(A|B)=\frac{P(B|A)P(A)}{P(B)} =\frac{0.29\times0.03}{0.12}=0.0725$

Thus, the probability that a person with the marker develops cancer is 0.0725.

3 0

3 years ago