1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergejj [24]
2 years ago
6

> A person places $479 in an investment account earning an annual rate of 8.2%, compounded continuously. Using the formula V

= Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 12 years. help please​
Mathematics
1 answer:
trasher [3.6K]2 years ago
7 0

Answer:

$1281.39

Step-by-step explanation:

use formula given

You might be interested in
Part C
makvit [3.9K]
A hope this helps :)
3 0
3 years ago
Solve for y , what is 9x+3y=4 ??
lora16 [44]
To solve for y, isolate the variable to one side.
 9x+3y=4
-9x      -9x
~~~~~~~~
3y= -9x+4
~~~~~~~~
3y= -9x+4 (Divide both sides by 3)

y=-3x+4
4 0
4 years ago
If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor
choli [55]
Looking at the set, we are given 18 elements. 17 is prime; it has only two factors: 1 and 17, since 1•17=17. So, the question is really asking what is the probability the numbers 1 or 17 is chosen. As mentioned earlier, 17 is prime, so there are two possible choices: 1 and 17.

P (probability) = possible outcomes / total outcomes

It is important to note that these events are “or” events, meaning that the probability can only be determined by choosing a 1 or a 17; you can’t randomly chose a 1 and 17 at the same time. So, the formula is:

P(A or B) = P(A) + P(B)

All this is saying is that given two possible outcomes, the probability occurs independent of each event; they don’t occur at the same time.

P(1 or 17) = P(1)/18 + P(1)/18

P(1 or 17) = 2/18

Since 17 is prime, it’s two and only factors are 1 and 17. The probability of randomly choosing a 1 or 17 is 2/18, meaning that there are 2 elements in the set out of a possible 18 elements that can be randomly chosen.

2/18 simplifies to 1/9


So, your answer is 1/9
5 0
2 years ago
A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 50%
IRISSAK [1]

Answer:

a) 0.9

b) Mean = 1.58

Standard Deviation = 0.89

Step-by-step explanation:

We are given the following in the question:

A marketing firm is considering making up to three new hires.

Let X be the variable describing the number of hiring in the company.

Thus, x can take values 0,1 ,2 and 3.

P(x\geq 2) = 50\%= 0.5\\P(x = 0) = 10\% = 0.1\\P(x = 3) = 18\% = 0.18

a) P(firm will make at least one hire)

P(x\geq 2) = P(x=2) + P(x=3)\\0.5 = P(x=2) + 0.18\\ P(x=2) = 0.32

Also,

P(x= 0) +P(x= 1) + P(x= 2) + P(x= 3) = 1\\ 0.1 + P(x= 1) + 0.32 + 0.18 = 1\\ P(x= 1) = 1- (0.1+0.32+0.18) = 0.4

\text{P(firm will make at least one hire)}\\= P(x\geq 1)\\=P(x=1) + P(x=2) + P(x=3)\\ = 0.4 + 0.32 + 0.18 = 0.9

b) expected value and the standard deviation of the number of hires.

E(X) = \displaystyle\sum x_iP(x_i)\\=0(0.1) + 1(0.4) + 2(0.32)+3(0.18) = 1.58

E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89

7 0
3 years ago
The interior angle of a regular polygon is five times its corresponding exterior angle. Find the
tiny-mole [99]

Answer:

12

Step-by-step explanation:

Regular polygon is one in which each angle and sides is congruent.

Sum of all the exterior angles of any polygon is 360.

Sum of all the  interior angles of any polygon is (2n-4)*90

where is n is the no. of sides of polygon.

Let n be the no. of sides of polygon required

Therefore,

Sum of all the  interior angles of  polygon = (2n-4)*90

since no of sides of polygon is n

therefore, value of each  interior angles of the polygon = (2n-4)*90/n  (A)

Sum of all the exterior angles of any polygon = 360.

value of each  exterior angles of the polygon = 360/n  (B)

Given that

The interior angle of a regular polygon is five times its corresponding exterior angle   (c)

using the statement A, B and C

(2n-4)*90/n = 5*360/n

1/n is common on both side, hence it gets cancelled.

(2n-4)*90 = 5*360

=> (2n-4) = 5*360 /90 = 20

=> 2n = 20+4 = 24

=> n = 24/2 = 12.

the  number of sides of the polygon is 12

6 0
3 years ago
Other questions:
  • Let b = 2 Evaluate 4 ⋅ (8 − b)b
    11·2 answers
  • Increase 48m by 20% ??????????????????????????////
    12·2 answers
  • Write an equation of the parabola in intercept form with x-intercepts of 12 and -6; and an axis of symmetry of (14, 4).
    9·1 answer
  • Simplify the expression<br><br> 4.2v-5-6.5v
    12·2 answers
  • Write the equation of the line in point slope form.<br> (10 Points)
    7·1 answer
  • A Dodecahedron (12 sided die) is thrown, what is the P(even AND a less than or equal to 6)?
    12·1 answer
  • 2(x+5) = 30 I need assistance​
    8·2 answers
  • How to rename 3/12<br> I forgot
    7·2 answers
  • Solve for x: -8 &lt; x - 1 &lt; 5 <br> (9th grade Algebra 1)
    14·1 answer
  • Solve (x-4)² = 5.<br> A. x=9 and x = -1<br> B. x=-4± √√5<br> OC. x=4+√5<br> D. x-5± √√4
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!