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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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Jay is letting her bread dough rise. After three hours, her bread dough is 11/5 of its original size. What percent of its origin
solmaris [256]

Answer: Jay's bread dough is risen by 220% of its original size.

Step-by-step explanation:

Since we have given that

Jay wants to rise her bread dough.

After three hours,

Her bread dough is risen by \frac{11}{5} of its original size.

So, percent of its original size Jay's bread dough becomes

\frac{11}{5}\times 100\\\\=11\times 20\\\\=220\%

Hence, Jay's bread dough is risen by 220% of its original size.

5 0
2 years ago
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I am an odd number I am less than 100 the sum of my digits is 12 I am a multiple of 15 what number am I
ivolga24 [154]

The answer is 75.


Let's look at your problem shall we:


Odd number: It should end with the numbers 1,3,5,7, and 9.

The number is less than 100: It should be from the number 1-99

Sum of digits: 12

Multiple of 15: 15, 30, 45, 60, 75, and 90.


We can rule out 30, 60, and 90 because they are even.

1+5 = 6; 4+5=9; 7+5 = 12


You are left with 75.

6 0
2 years ago
According to a 2013 study by the Pew Research Center, 15% of adults in the United States do not use the Internet (Pew Research C
Pavel [41]

Answer:

a) For this case we can use the binomial model since we assume independent events and the same probability for each trial is the same p =0.15

b) P(X=0)=(10C0)(0.15)^0 (1-0.15)^{10-0}=0.1969

c) P(X=3)=(10C3)(0.15)^3 (1-0.15)^{10-3}=0.1298

d) P(X \geq 1)= 1-P(X

And using the result from part a we got:

P(X \geq 1)= 1-P(X

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n p)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Part a

For this case we can use the binomial model since we assume independent events and the same probability for each trial is the same p =0.15

Part b

For this case we want this probability:

P(X=0)

And replacing we got:

P(X=0)=(10C0)(0.15)^0 (1-0.15)^{10-0}=0.1969

Part c

For this case we want this probability:

P(X=3)

And replacing we got:

P(X=3)=(10C3)(0.15)^3 (1-0.15)^{10-3}=0.1298

Part d

For this cae we want thi probability:

P(X \geq 1)

And we can use the complment rule and we got:

P(X \geq 1)= 1-P(X

And using the result from part a we got:

P(X \geq 1)= 1-P(X

4 0
2 years ago
A student walks 1/4 Mile from her home to the store on her way to a friend's house at the store is one third of the wave to her
Setler [38]
Her friend's house is 1/12 miles away from her house.

Since 1/4 miles is 1/3 of the way, 1/4 x 1/3 = 1/12.
4 0
1 year ago
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In a country where prices are rising quickly, bread that now costs $1.39 will cost 2.4 times as much next year. How much will th
Lynna [10]

Answer:

$3.34

Step-by-step explanation:

$1.39 x 2.4 = $3.336

4 0
2 years ago
Read 2 more answers
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