Answer:4x^3-2x^2+20x-10
Step-by-step explanation:
ANSWER
$1,413.81
EXPLANATION
The compound interest formula is given by:

Where P=900 is the balance in the account, t=10 is the number of years and r=0.0462 is the rate.
We substitute the values in to the formula to get:


This simplifies to:

Therefore $1413.81 will be in the account after 10 years.
The number of pieces made from rod is 49
<h3><u>Solution:</u></h3>
Given that A metal rod will be cut into pieces that are each 1/56 meters long
The rod is 7/8 meters long.
<em><u>To find: number of peices made from rod</u></em>
The number of peices made from rod can be calculated by dividing the total length of rod by length of each piece

Here total length of rod =
meters
length of each piece to be made =
meters
Substituting the values in above formula, we get


So the number of pieces made from rod is 49
Answer:
AM = 25, AC = 15, CM = 20
Step-by-step explanation:
The given parameters are;
In ΔACM, ∠C = 90°,
⊥
, AP = 9, and PM = 16
² +
² =
²
=
+ PM = 9 + 16 = 25
= 25
² =
² +
² = 9² +
²
∴
² = 9² +
²
Similarly we get;
² = 16² +
²
Therefore, we get;
² +
² = 9² +
² + 16² +
² =
² = 25²
2·
² = 25² - (9² + 16²) = 288
² = 288/2 = 144
= √144 = 12
From
² = 9² +
², we get
= √(9² + 12²) = 15
= 15
From,
² = 16² +
², we get;
= √(16² + 12²) = 20
= 20.