Answer:
(1, -2)
Step-by-step explanation:
midpoint x = (x₁ + x₂) / 2
midpoint y = (y₁ + y₂) / 2
= (1, -2)
Answer:
-a^2 -a -35
Step-by-step explanation:
a(4-a) -5(a+7)
Distribute
4a -a^2 -5a-35
Combine like terms
-a^2+4a -5a-35
-a^2 -a -35
Answer:
C
Step-by-step explanation:
One side is 60 so the other side is 60
X=20
4(20)-20=60
60=(4(20)-20)
60=80-20
60=60
kinda got a bit dum
Step-by-step explanation:
DE = 5x-2
DF = 3(x+3)
3(x+3) = 3 + 5x-2
3x+9= 5x+1
2x=8
x=4
DE=5×4-2=18
DE=18
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%.
