A man needs to deposit $889 each year into the account in order to have $30,000 saved up.
Given that, future value = $30000, n = 17 years and r = 8%.
<h3>What is the future value?</h3>
The future value simple interest formula is the addition of the principal amount that we have in the beginning and the interest earned on that principal amount after the completion of the period.

Now, 
⇒ 
⇒ 30000 = Annuity × (3.7-1)/0.08
⇒ 30000 = Annuity × 33.75
⇒ Annuity = 30000/33.75
⇒ Annuity = 888.88
⇒ Annuity = $889
Therefore, a man needs to deposit $889 each year into the account in order to have $30,000 saved up.
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The remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4) is 528
<h3>How to determine the remainder?</h3>
The polynomial function is given as:
P(x) = 3x^3 + 27x^2 + 18x - 168
The dividend is given as:
x - 4
Set the dividend to 0
x - 4 = 0
Add 4 to both sides
x = 4
Substitute x = 4 in P(x) = 3x^3 + 27x^2 + 18x - 168
P(4) = 3 * 4^3 + 27 * 4^2 + 18 * 4 - 168
Evaluate
P(4) = 528
Hence, the remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4) is 528
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4 and 1
Step-by-step explanation:
Supplementary means the angle is 180 degrees so 4 is the only complete obvious 180 degree angle and 1 just cause i know it can't be 5.
<h2>
Answer:</h2>
Luke does a work of 308Nm
<h2>
Step-by-step explanation:</h2>
If we have a constant force
that acts on a body in the same direction as the displacement
, then the work
is defined as the product of the force magnitude
and the displacement magnitude
. In other words:
, which is valid for a constant force in direction of straight-line displacement.
In this problem:

Therefore:

In slope intercept form it would be y=2x+8