Hello,
Roots are -3+2i,-3-2i,-2 and -2
There are 4 roots. (theorem of the conjugate roots) and the least degree of the polynomial is
4.
Let x represent amount invested in the higher-yielding account.
We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be
.
We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.
, where,
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
We are told that interest rates are 6% and 10%.


Amount of interest earned from lower-yielding account:
.
Amount of interest earned from higher-yielding account:
.

Let us solve for x.



Therefore, the man invested $30,000 at 10%.
Amount invested in the lower-yielding account would be
.
Therefore, the man invested $60,000 at 6%.
Original Price = Final Price / (100 - Discount)
So...
OP = 360 / 100 - 0.40
OP = 360 / 0.60
OP = 600
The original price is $600.
To check, do 600 - (600 * 0.40) in a calculator. You get 600 - 240 = 360, the discounted cost.
Answer:
Y=59 Z=93
Explanation:
To find Z, you have to know the line is equal to 180 degrees. You then subtract 180-87=93 that’s how you get Z. Then with that you know that 34+Y is going to equal 93 because they are across from each other. I forgot what that property is called, but yeah. Then you subtract 93-34=59 there you go hope that helps :)
Answer:
So the unit price of the trail - mix is $4.80 per pound
Step-by-step explanation:
Sam paid $3.60 for 3/4 pound of his favorite trail-mix.
What it means is that said paid for 3/4 = 0.75 of a pound for $3.60
So let's determine how much he could have paid for a complete pound
$3.60= 0.75 pound
X= 1 pound
$X*0.75 pound= $3.60*1 pound
$x= ($3.60*1 pound)/0.75 pound
$x=$3.60/0.75
$x= $4.80
So the unit price of the trail - mix is $4.80 per pound