Answer:
2.6i
Step-by-step explanation:
undo the - by making it: √-6.76= √6.76 x √-1
then, √-1 would be converted to imaginary number -> i
now rewrite it as √6.76 x i or i√6.76 which is the same as the squareroot of 6.76 which is 2.6 times i.
Then just write your final answer as 2.6i
Answer:the answer is
Find the vol of the sphere:
radius of the sphere = 3 in
V = %284%2F3%29%2Api%2A3%5E3
V = 97.858
:
Find the vol between the sphere and cube:
216 - 97.858 = 118.142 cu/in
We know that: <span>3(x-1)^2-162=0
or (x-1)</span>²= 162:3
and (x-1)²= 54
we <span>take the square root of both sides
* x-1=</span>√54= 3√6 or x=1+3√6
* x-1= -<span>√54= -3√6 or x=1-3√6
This equation has 2 solutions</span>
The picture is incomplete and the width is missing.
I am going to show you how to do it using any width.
The length shown is x + 4 and the width starts with - x.
Assume the width is - x + a.
Then the area of the rectangle with dimensions x + 4 and - x + a is calculated in this way:
1) given: (x + 4) (- x + a)
2) use distribuitive property: (x)(-x) + (x)(a) + (4)(-x) + (4)(a)
= - x^2 +ax -4x + 4a
3) Combine like terms: - x^2 + (a -4)x + 4a
If the polynomial missing were - x + 7, the answer would be:
- x^2 + (7 -4)x + 4(7) = - x^2 + 3x + 28
With this you are able to get the answer using the real values.
Answer: 7000
Step-by-step explanation:
Let the amount invested in 8% account be P1 and the amount invested in 6% account be P2
. If the total amount invested is $20,000 then:
P1+P2=20,000. (Eq. 1)
The interest earned in one year from the 8% account is:
I1=0.08P1
and the interest earned in one year from the 6% account is:
I2=0.06P2
If the total interest earned is $1460, then:
I1+I2=1460
0.08P1+0.06P2=1460
(Eq. 2) From Eq. 1 :
P1=20000−P2
Substituting this into Eq. 2:
0.08 (20000−P2) + 0.06P2 = 1460
1600 − 0.08P2 + 0.06P2 = 1460
0.02P2 = 140
P2 = 140 / 0.02
P2 = 7000
Hence, he invested $7000 at the rate of 6%.
