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svetoff [14.1K]
2 years ago
8

20. A man invests $20,000 at an annual interest rate of 7%, and $ 12,000.00 at an

Mathematics
1 answer:
olganol [36]2 years ago
7 0

Answer:

The answer is (5.)2,800.00

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A, b, c, d are the roots of 3x⁴-6x²+2=0. what is the value of a⁴+b⁴+c⁴+d⁴?
Pani-rosa [81]
Hello,

P(x)=x^4-6x²+2=(x-a)(x-b)(x-c)(x-d)
=x^4-(a+b+c+d)x^3+(ab+ac+ad+bc+bd+cd)x^2-(abc+abd+acd+bcd)x+abcd

==>
ab+ac+ad+bc+bd+cd=-6
abc+abd+acd+bcd=0
abcd=2
a+b+c+d=0 ==>(a+b+c+d)²=0=a²+b²+c²+d²+2(ab+ac+ac+bc+bd+cd)
==>a²+b²+c²+d²=0-2*(-6)=12




if a is a root P(a)=0==>a^4-6a²+2=0
if b is a root P(b)=0==>b^4-6b²+2=0
if c is a root P(a)=0==>c^4-6c²+2=0
if d is a root P(a)=0==>d^4-6d²+2=0

==>a^4+b^4+c^4+d^4-6(a²+b²+c²+d²)+4*2=0
==>a^4+b^4+c^4+d^4=-8+6*12=64


6 0
3 years ago
What is 5(z+4)+5(2-z)
Maru [420]

Answer:

30

Step-by-step explanation:

5(z+4)+5(2-z)    (expand parentheses by distribution)

= z(5) + 4(5) + 2(5) -z(5)

= 5z + 20 + 10 -5z

= 30

4 0
2 years ago
PLEASE SOLVE THIS PROBLEM ​
schepotkina [342]

Answer:

18) Area= 5*5/2=25/2=12.5 unit ^2

19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2

Step-by-step explanation:

18. A(-3,0)

B(1,-3)

C(4,1)

AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5

AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2

BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5

so AB=BC=5

and AC^2=AB^2+BC^2

so trg ABC is an isosceles right  angle triangle (<B=90)

Area= 5*5/2=25/2=12.5 unit ^2

19. A(a,a)

B(-a,-a)

C(-V3a, V3a)

AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2

AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2

BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2

so AB=AC=BC

Area=AB^2V3/4=8a^2*V3/4=2V3a^2

7 0
2 years ago
Fruitstand has eating red apples. This is 40% of the total apples understand. How many apples are in there in the stand?
Margarita [4]
100 because 40% is 40 and you do not kno the exact number of apples
6 0
3 years ago
Select all that apply.
Ray Of Light [21]
The theoretical probability is 25% for each section
3 0
2 years ago
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