All categories

2 years ago

Steven earned $40.00 for a week's work If he paid 10% of it in taxes how much did he pay in taxes?

Mathematics

1 answer:

tino4ka555 [31]2 years ago

3 0

Answer:

Step-by-step explanation:

40/100=0.4

(10)0.4=4

You might be interested in

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes

mixer [17]

Answer:

0.02275

Step-by-step explanation:

We have been given that the time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. We are asked to find the probability of completing the exam in one hour or less.

We know that 1 hour equals 60 minutes. First of all, we will find the z-score corresponding to 60 minutes.

$z=\frac{x-\mu}{\sigma}$

z = z-score,

x = Sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

$z=\frac{60-80}{10}$

$z=\frac{-20}{10}$

$z=-2$

Now, we will use normal distribution table to find area under z-score of $-2$ as:

$P(z< -2)$

$P(z< -2)=0.02275$

Therefore, the probability of completing the exam in one hour or less is 0.02275.

7 0

3 years ago

A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years

dedylja [7]

Answer:

$6488.19

Step-by-step explanation:

To solve this problem we use the compounded interest formula:

$amount = principal(1 + (r \n))^({n}{t})$

a = $2600(1+(0.0675/1))¹*¹⁴

a = $6488.19

8 0

3 years ago

Use the binomial expression (p+q)n

zvonat [6]

Answer:

{0.16807, 0.36015, 0.3087, 0.1323, 0.02835, 0.00243}

Step-by-step explanation:

The expansion of (p+q)^n for n = 5 is ...

(p+q)^5 = p^5 +5·p^4·q +10·p^3·q^2 +10·p^2·q^3 +5·p·q^4 +q^5

When the probability p=0.3 and q = 1-p = 0.7 the terms of this series correspond to the probabilities of 5, 4, 3, 2, 1, and 0 favorable outcomes out of 5 trials.

For example, p^5 = 0.3^5 = 0.00243 is the probability of 5 favorable outcomes in 5 trials where the probability of each favorable outcome is 0.3.

___

The attachment shows the calculation of these numbers using a graphing calculator. It lists them in reverse order of the expansion of (p+q)^5 shown above, so that they are the probabilities of 0–5 favorable outcomes in the order 0–5.