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Citrus2011 [14]
2 years ago
11

if 5000000 invested at 4% interest compounded continuously how much will the investment be worth in 30 years

Mathematics
2 answers:
umka21 [38]2 years ago
8 0
For this you use A=Pe^(rt)
A=furutre amount
P=present amount
e=natural base
r=rate in decimal
t=times in years

A=?
P=5000000
r=0.04
t=30

A=5,000,000e^(0.04*30)
A=5,000,000e^(1.2)
A=16600584.613683
Anna35 [415]2 years ago
6 0
The required formula is:
A=Pe^{rt}
where A is the amount after t years, e is the exponential number and r is the annual interest rate expressed as a decimal:
Plugging in the given values into the formula:
A=5000000\times e^{(0.04\times 30)}=16,600,584.61\ currency\ units
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A worker has a base pay of $20 per hour, gets $3 more per hour after 8 hours, and gets $4 more
GalinKa [24]

Answer:

177 $

Step-by-step explanation:

20 x8 = 160

3x3= 9

4x2=8

8+9+160= 177

6 0
2 years ago
You find your dependent variable has a high degree of kurtosis. What is the first way to try to fix it?
Morgarella [4.7K]

The first way to try to fix this is to apply logarithm to the observations on the dependent variable. This is going to make the dependent variable with high degree of kurtosis normal.

Note that sometimes, the resulting values of the variable will be negative. Do not worry about this, as it is not a problem. It does not affect the regression coefficients, it only affects the regression intercept, which after transformation, will be of no interest.

7 0
2 years ago
Suppose that you want to estimate average income in a population. If the standard deviation of income in the population is $1,00
Alik [6]

Answer:

2401

Step-by-step explanation:

Given that we want to estimate average income in a population.

The standard deviation of income in the population is $1,000

We want confidence interval around our estimate to be +/- $40

i.e Margin of error = 40

We know that margin of error = Std error * Z critical for 95%

i.e. 40 = 1.96 * std error

Std error = \frac{std dev}{\sqrt{n} } \\=\frac{1000}{\sqrt{n} }

Together we get

40=1.96(\frac{1000}{\sqrt{n} } )\\\sqrt{n} =\frac{1000*1.96}{40} \\=49\\n=2401\\

3 0
2 years ago
Lucia drew a net for the design of her art project. Which term best describes the three-
meriva

Answer:

Triangular Prism

Step-by-step explanation:

Given

The sketch in the attached diagram

Required

Determine the shape it represents

Analyzing the options 1 after the other

Triangular Prism:

This has 5 sides; 2 of which are triangles while the other are rectangles

Rectangular Prism

This, in other words represents a cuboid

Triangular Pyramid

This has 4 sides, all of which are triangles

Rectangular Pyramid

This has 5 sides; 4 of which are triangles while the last is a square of rectangle.

From the analysis above, the best option that answers the question is The Triangular Prism because it perfectly describes Lucia's drawing

8 0
2 years ago
Assume that 12 people, including the husband and wife pair, apply for 4 sales positions. People are hired at random.
konstantin123 [22]

The formula C(n, r)= \frac{n!}{r!(n-r)!}, where r! is 1*2*3*...r

is the formula which gives us the total number of ways of forming groups of r objects, out of n objects.

for example, given 10 objects, there are C(10,6) ways of forming groups of 6, out of the 10 objects.

-----------------------------------------------------------------------------------------------


Selecting 4 people out of 12 can be done in :

\displaystyle{C(12, 4)= \frac{12!}{4!8!}= \frac{12\cdot11\cdot10\cdot9\cdot8!}{4!8!}= \frac{12\cdot11\cdot10\cdot9}{4!}=11\cdot5\cdot9= 495       many ways.


All the possible groups of 4 people, where the husband and wife are included, can be done in C(10, 2) many ways, since we only calculate the possible choices of 2 out of 10 people, to complete the groups of 4.


\displaystyle{ C(10, 2)= \frac{10!}{2!8!}= \frac{10\cdot9}{2}=45


Thus, the 

<span>probability that both the husband and wife are hired is 45/495=0.09


Part 2)

The probability that one is hired and the other is not = 

P(husband hired, wife not hired) + P(wife hired, husband not hired)

these 2 are clearly equal, so it is enough to calculate one.


Consider the case : husband hired, wife not hired.

assuming the husband is hired, we have to calculate the possible groups of 3 that can be formed from 11-1 (the wife)=10 people.

this is 
</span>

\displaystyle{ C(10, 3)= \frac{10!}{3!7!}= \frac{10 \cdot9 \cdot8}{3\cdot2}=10\cdot3\cdot4=120


thus, 


P(husband hired, wife not hired)=120/495=0.24


thus, 

The probability that one is hired and the other is not = 

P(husband hired, wife not hired) + P(wife hired, husband not hired) =

0.24+0.24=0.48



Answer:


A) 0.09


B) 0.48

3 0
2 years ago
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