Find a power series representation for the function. Determine the interval of convergence. (Give your power series representation centered at x???
14 + 5(x+3)-7
14 + 5x +15 -7
5x + 22
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
Answer:
x = 136/11
, y = 68/11
Step-by-step explanation:
Solve the following system:
{6 x - y = 68
2 y = x
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{6 x - y = 68
2 y = x
Hint: | Reverse the equality in 2 y = x in order to isolate x to the left hand side.
2 y = x is equivalent to x = 2 y:
{6 x - y = 68
x = 2 y
Hint: | Perform a substitution.
Substitute x = 2 y into the first equation:
{11 y = 68
x = 2 y
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{11 y = 68
x = 2 y
Hint: | Solve for y.
Divide both sides by 11:
{y = 68/11
x = 2 y
Hint: | Perform a back substitution.
Substitute y = 68/11 into the second equation:
{y = 68/11
x = 136/11
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 136/11
, y = 68/11
The original annual simple interest rate, rounded to two decimal places, is 3.79%
What is the formula for simple interest?
The simple interest on a loan or deposit is determined as the principal multiplied by the simple interest rate and time
I=PRT
The first loan:
P=12 850.00
R=r(assume it is r)
T=4 years
I=12 850.00*r*4
I=51400r
The second loan was taken after 14 quarters the first was taken out, which is the same as after 3.5 years, hence, the interest on the second loan is only for a half a year
P=3 273.00
R=0.5r( half of the interest on the first loan)
T=0.5 years
I=3 273.00*0.5r*0.5
I= 818.25r
Total interest=51400r+818.25r
Total interest=52218.25r
total interest paid=1 980.00
1 980.00=52218.25r
r=1 980.00/52218.25
r=3.79%
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