A dime has a radius of about 0.85 cm what is the closest circumfrence

An investment broker puts 1/12 of his paycheck into a retirement account every quarter? How much of his $84,000 salary is put in

posledela

Answer:

<u>$7000</u> of his salary is put into this account each quarter.

Step-by-step explanation:

Given:

An investment broker puts 1/12 of his paycheck into a retirement account every quarter.

His salary is $84,000.

Now, to find how much is put into this account each quarter.

As given salary = $84,000.

So, amount to put into this account every quarter =

$\frac{1}{12} of\ \$84,000.$

$=\frac{1}{12} \times 84000$

$=\frac{84000}{12}$

$=\$7000.$

Therefore, $7000 of his salary is put into this account each quarter.

6 0

3 years ago

Using L'Hopital's rule, evaluate the limit as x approaches infinity of (sin (8x))/(5x)

sweet-ann [11.9K]

Answer:

45.89

Step-by-step explanation:

This is what is the answer

6 0

3 years ago

Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function

hammer [34]

Answer: Its a function

Step-by-step explanation:

6 0

3 years ago

Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 120.

RSB [31]

Answer:

Inequality : 4x+8 < 120

x<28

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a rectangle (P)= 2 length +2 width

Where:

Width = x

Length = x+4

Replacing with the values given

P = 2 (x+4) + 2x

P = 2x+8+2x

P=4x+8

Since the perimeter of the rectangle must be less than 120:

4x+8 < 120

Solving for x

4x<120-8

4x<112

x<112/4

x<28

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago

cybil flips a coin and rolls a fair number cube at the same time. What is the probability that she will toss tails and roll a nu

IRISSAK [1]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

Flipping a coin and rolling a number cube are both independent events. Independent events do not rely on the outcome of any previous events. This means that whatever you flip on the coin will have no effect on whatever you roll on the number cube and each flip of the coin or roll of the cube has the same probability as the flip or roll before.

The probability of getting tails on a coin toss is: $\frac{1}{2}$

The probability of getting a number less than 3 (so 1 or 2) on a number cube is: $\frac{1}{3}$

Since we are combining these events, we need to multiply the fractions together to get our overall probability:

$\frac{1}{2}$ * $\frac{1}{3}$ = $\frac{1}{6}$

8 0

3 years ago