If a bank offers to double your money in 8 years, what is the effective rate of interest?

Two submarines are underwater. The number - 4,820 represents Submarine A’s position (in feet) relative to the surface. The numbe

GarryVolchara [31]

Answer:

Step-by-step explanation:

Take an easier number. Suppose you owe your mother = 10 dollars and your father 15. Which one is the bigger debt? Isn't it your father.? So how do you represent the two debts.

Father = - 15

Mother = - 10

Which number is bigger? - 10. Remember the question is bigger. You would rather own just 10 dollars.

So which number is "larger"?

Isn't it -4488. If it was money and you owed it, would it be the debt you would rather have than -4820

7 0

3 years ago

If f(x) = 3x22, evaluate afI: ()k=1

Korolek [52]

Step 1: Write out the function given

$f(x)=3x^2-x$

Step 2: Interprete the question given

$\sum ^5_{k\mathop=1}f(\frac{k}{2})$

The question requested we find the summation of the first five terms for f(k/2), when k is 1, 2, 3, 4, and 5

Step 3: Find the expression for f(k/2)

$\begin{gathered} f(\frac{k}{2})=3(\frac{k}{2})^2-\frac{k}{2} \\ =\frac{3k^2}{4}-\frac{k}{2} \\ =\frac{3k^2-2k}{4} \end{gathered}$ $\begin{gathered} =\frac{3(1)^2-2(1)}{4}+\frac{3(2)^2-2(2)}{4}+\frac{3(3)^2-2(3)}{4}+\frac{3(4)^2-2(4)}{4}+\frac{3(5)^2-2(5)}{4} \\ =\frac{1+8+21+40+65}{4} \\ =\frac{135}{4} \\ =33.75 \end{gathered}$

Hence, the answer is 33.75

5 0

1 year ago

If tatianna works 3hrs a day on school days and make $123.75 a week what is her hourly rate?

madreJ [45]

<u><em>Answer:</em></u>

Her hourly rate is $8.25

<u><em>Explanation:</em></u>

Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week

There are 5 school days in a week

<u>We are given that:</u>

She works for 3 hours a day each of those days

<u>Therefore:</u>

Total number of hours worked = hours worked daily * number of days

Total number of hours worked = 3 * 5 = 15 hours in a week

<u>The equation used to calculate Tatianna's earnings is:</u>

Amount she makes in a week = Total number of hours worked * hourly rate

<u>Now, we substitute with the givens to get the hourly rate as follows:</u>

Amount she makes in a week = Total number of hours worked * hourly rate

123.75 = 15 * hourly rate

Hourly rate = $8.25

6 0

3 years ago

The life of a manufacturer's compact fluorescent light bulbs is normal, with mean 12,000 hours and standard deviation 2,000 hour

vitfil [10]

Z value is a numerical measurement that describe a value relationship to the mean of a group of values. The standard deviations is 1.25 above the mean is 14,500 hours.

<h3>Given information-</h3>

The mean for the bulb is 12,000 hours.

The standard deviation for the bulb is 2000 hours.

Sample value is 14500.

To find out the how many standard deviation is 14500 mean away from the mean the z value of the mean should be calculated.

<h3>Z value</h3>

Z value is a numerical measurement that describe a value relationship to the mean of a group of values. Z value is the ratio of the difference of the sample value $x$ and mean $\mu$ to the standard deviation. Thus the z value for the given mean $\sigma$ is,