The annuity of the monthly deposit into an account that pays 1.5% interest, compounded monthly, for 35 years is $333.71
<h3>What is annuity?</h3>
An annuity is a series of payments made at equal period of time.
future value = annuity x [(1 + i)ⁿ - 1] / i
annuity = $125.30
i = 1.5% / 12 = 0.00125
n = 35 years x 12 months = 420
future value = $125.30 x [(1 + 0.00125)⁴²⁰ - 1] / 0.00125
future value = $69,156.049 ≈ $69,156.05
annuity = [i x (present value)] / [1 - (1 + i)⁻ⁿ]
i = 1.5% / 12 = 0.00125
n = 20 years x 12 months = 240
present value = $69,156.05
annuity = (0.00125 x $69,156.05) / [1 - (1 + 0.00125)⁻²⁴⁰]
annuity = $86.45 / 0.25904
= $333.71
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Answer:
98
Step-by-step explanation:
option d..............
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
Answer:
Since A={a,b}, then 
. Remember that the Cartesian Product of two sets A, B is defined by
. Then
