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-Dominant- [34]
2 years ago
10

a savings account balance is compounded continuously. If the interest rate is 3.1% per year and the current balance is $1077.00,

in how many years will the balance reach $1486.73
Mathematics
1 answer:
enot [183]2 years ago
4 0

Answer:

10.55 years

Step-by-step explanation:

In order to calculate the number of years, you have to isolate N from the formula:

FV=PV*(1+I)^N

FV= Future value

PV= Present value

i= Interest rate

N= number of periods

FV/PV=(1+i)^N

ln(FV/PV)=Nln(1+i)

N=ln(FV/PV)/ln(1+i)

Now you have to replace the formula to find the answer:

FV= 1486.73

PV= 1077

i= 3.1%

N= ln(1486.73/1077)/ln(1+0.031)

N= ln(1.38)/ln(1.031)

N= 10.55

The answer is that it will take 10.55 years for the balance to reach $1486.73.

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Answer:

The answer is A

Step-by-step explanation:

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5 0
3 years ago
A cube has a volume of greater than 123 cm3. What are the possible lengths of the side of that cube?
horrorfan [7]
When we cube root 123, we get a decimal which rounds out to 4.97. So possible side lengths would be any number greater than that.<span />
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=3x%20-%202y%20%3D%2043x%20%2B%202y%20%3D%208" id="TexFormula1" title="3x - 2y = 43x + 2y = 8"
den301095 [7]

3x - 2y = 8 +

===》 46x = 16

43x + 2y = 8

x = 16/46

x = 8/23

______________________________

3x - 2y = 8

3(8/23) - 2y = 8

24/23 - 2y = 8

2y = 24/23 - 8

y = 12/23 - 4

y = 12/23 - 92/23

y = - 80/23

5 0
2 years ago
What is the factorization of the following trinomial? 15x2 - 44x - 36
BartSMP [9]
15x^2-44x-36

=(15x^2+10x)+(-54x-36)

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=5x(3x+2)-18(3x+2)

Factor out common term (3x+2)

= (3x+2)(5x-18)

hope this helps!
7 0
3 years ago
The National Football League (NFL) polls fans to develop a rating for each football game (NFL website, October 24, 2012). Each g
Gelneren [198K]

This question is incomplete, in that the Excel File: data07-11.xlsx a. was not provided, but I was able to get the information on the Excel File: data07-11.xlsx a. from google as below:

57 61 86 74 72 73

20 57 80 79 83 74

The image of the Excel File: data07-11.xlsx a. is also attached below.

Answer:

a) Point estimate of sample mean  = 68

b) Point estimate of standard deviation (4 decimals) = 17.8122

Step-by-step explanation:

a) Point estimate of sample mean, \bar{x}  =  ∑Xi / n = (57 + 61 + 85 + 74 + 73 + 72 + 20 + 58 + 81 + 78 + 84 + 73)/12 = 68

b) Point estimate of standard deviation = sqrt ∑ Xi² - n\bar{x}² / n-1)

= sqrt(((57 - 68)^2 + (61 - 68)^2 + (85 - 68)^2 + (74 - 68)^2 + (73 - 68)^2 + (72 - 68)^2 + (20 - 68)^2 + (58 - 68)^2 + (81 - 68)^2 + (78 - 68)^2 + (84 - 68)^2 + (73 - 68)^2)/11) = 17.8122

4 0
3 years ago
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