Answer:
Bonds: $42,000
Certificates of deposit: $41,000
Step-by-step explanation:
Total invested = Amount in bonds + Amount in CDs
Amount in bonds = Amount in CDs + 1000
Let the amount in bonds = B and the amount in CDs = C
1. 83,000 = B + C
2. B = C+1000
Since the above expression (#2) defines B, you can substitute it for the B in the first equation (#1).
83,000 = C + 1000 + C
Now, you can solve for C.
83,000 = 2C + 1000
82,000 = 2C
41,000 = C
You know that the amount invested in bonds is $1000 greater than the amount invested in CDs, so add $1000 to C and you find B, $42,000.
Answer: Number 1 is c=89 ft
Number 2 is b=3 cm
Step-by-step explanation: a²+b²=c²
For number 1, 39 ft is a and 80 ft is b so
39²+80²=c² so 39² is 39x39=1521 and 80² is 80x80=6400 so 6400+1521=7921
7921=c² and the square root of 7921 is 89 so c=89 ft
For number 2, a=1.6 cm and c=3.4 cm so 3.4²-1.6²=b²
3.4² so 3.4x3.4 which is 11.56
1.6² so 1.6x1.6 which is 2.56
11.56-2.56=c² and 11.56-2.56=9
Square root of 9 is 3 so b=3
So number 2 answer is b=3 cm
I hope this helps
Answer:
The correct answer is B
Step-by-step explanation:
Kinda complicated to explain, if you need me to then comment and I'll do it
First you want to reduce the brackets
Next you want to factor out the common number 3
Next you want to factor 20 + x^3 + 11x - 8x^2 by using the polynomial division method/technique
Lastly you just factor x^2 - 9x + 20 to get the answer.
Yes you are correct, the solutions are 1, 4, and 5.
