Answer:
a=12
Step-by-step explanation:
If you solve for x, you divide by (a-12) to isolate x on the left side:
x = (a+8)/(a-12)
If the numerator is 0 you will be dividing by zero, which invalidates the solution. This will happen for a=12.
First add the ratio 1:3:5 together to give you the total number:
1 + 3 + 5 + = 9
Therefore you divide 72 by 9 to give you one part
72 divide 9 = 8
Now you times each part of the ratio by 8:
1 x 8 = 8
3 x 8 = 24
5 x 8 = 40
Therefore the answer would be written like this:
8:24:40
Hope this helps
Answer:
I don't understand the first one
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%.
Answer:
y intercept=15 and slope is 3
Step-by-step explanation:
Ok so for this one we know the y intercept is 15 because the y intercept is wherever x=0 and in the table when x=0 y=15
to find slope we use (y2-y1)/(x2-x1) which when we put points (0,15) and (1,18) in for would be:
(18-15)/(1-0)
3/1
= 3
