Answer:
6% monthly
Step-by-step explanation:
The monthly rate being compounded when the interest is 6% per year is ...
6%/12 = 0.5%
so the multiplier each month is
1 + 0.5% = 1.005
___
The monthly multiplier when 5.86% is compounded continuously is ...
e^(5.86%/12) ≈ 1.004895
The 6% rate will give a larger yield after any length of time.
Answer:
The value of currents are 
, 
and 
.
Step-by-step explanation:
The Ohm's law states that
it is given that the V₁=3V and V₂=4V.
In a parallel circuit:
- Voltage is same in each component
- Sum of the currents equals to the total current that flows.
.... (1)
Equation for first loop is,
..... (2)
Equation for second loop is,
..... (3)
On solving (1), (2) and (3) we get
Therefore the value of currents are , and .
Answer:
LON and MLN are both equal to 126 degrees,
since the angles with the value '4x + 7' and '7x - 35' degrees are equal to each other, you can rewrite it like this:
4x+7=7x-35
now, take the 7x away from both sides:
-3x+7=-35
then, subtract 7 from both sides:
-3x=-42
now, divide both sides by -3:
x=14
now that we know the value of x (14), we can plug it into the expressions.
4(14)+7=63
7(14)=63
add them together to find the angle MLN
and since the opposite angle (LON) is equal to MLN, they both = 126 degrees
hope this helped :)
Answer:
<u>The correct answer is C. 6, 8 and 9 inches.</u>
Step-by-step explanation:
1. Let's review all the information provided for answering the questions properly:
Length of the sides of the triangle = 12 feet, 16 feet and 18 feet.
Scale used : 1 inch = 2 feet.
2. How long should the sides of the triangle be in inches?
For calculating the length of the sides of the triangle in the draw, we use the scale this way:
1st Side = 12 feet
12 feet/2 = 6 inches
2nd Side = 16 feet
16 feet/2 = 8 inches
3rd Side = 18 feet
18 feet/2 = 9 inches
<u>The correct answer is C. 6, 8 and 9 </u>
Answer:
(c) 45x³y
Step-by-step explanation:
Terms of a polynomial expression are separated by + or - signs. If there is only one term, there is no need to separate terms with such signs.
<h3>One term</h3>
The one-term expression is ...
45x³y
__
<em>Additional comments</em>
If the coefficient of a one-term expression is negative, there will be a leading minus sign. There won't be another term on the other side of that sign.
The given expressions appear to suffer from poor editing. Ordinarily, exponents are rendered using a superscript font, as the 3 is in the first expression. However, the second term of that expression is 1x2, which we understand to be 1x². If the 2 were intended as a multiplier, rather than an exponent, we would expect it to be combined with the coefficient 1 in that term to give (xy)³ -2x.
It is this assumption that leads us to write 45x3y as 45x³y. If that is not the intention of the given expression, it could be simplified to 135xy.
Ordinarily, if an exponent is not rendered in superscript font, we expect it to be identified by the caret (^) operator, as in 45x^3y.
