Answer:
y = -9
Step-by-step explanation:
Step 1: Substitute x
2(2) - 2y = 22
Step 2: Isolate y
-2y = 18
Step 3: Divide by -2
y = -9
And you have your final answer!
Answer:
Step-by-step explanation:
Eight
590 = 1800 e^(-0.4t) Divide by 1800
0.32778 = e^(-0.4t) Put the value for e in the denominator.
0.32778 = 1 / e^(0.4t) Notice the sign's gone. Multiply both sides by e^(0.4t)
0.32778 *e^(0.4t) = 1 Divide by 0.32778
e^(0.4t) = 3.0508 Take the natural log of both sides.
0.4t = 1.11542 Divide both sides by 0.4
t = 2.78855
You should put this in the original equation to see if it checks. It does.
=============================
Nine
3^(3 - 3x) + 6 = 42 Subtract 6 from both sides
3^(3 - 3x) = 36 Take the log of both sides.
(3 - 3x) ln(3) = ln 36
(3 - 3x) *1.098612 = 3.58352 Divide by 1.098612
3 - 3x = 3.26186 Subtract 3 from both sides
- 3x = 0.26186 Divide by - 3
x = - 0.087287
Answer:
1st pic) 17.8
2nd pic) 16.8
3rd pic) 9.1
4th pic) 13.5
Step-by-step explanation:
<u>1st pic:</u>
(write equation) Cos 27 (cos 27 = 0.89) = 
(new equation) 0. 89 = 
(multiply 20 on both sides) 0.89 x 20 =
x 20
(solve) 17.8 = x
<u>2nd pic:</u> 
(write equation) tan 40 (tan 40 = 0.84) = 
(new equation) 0.84 = 
(multiply 32 on both sides) 0.84 x 20 =
x 20
(solve) 16.8 = x
<u>3rd pic:</u> 
(write equation) cos 55 (cos 55 = 0.57) = 
(new equation) 0.57 = 
(multiply 16 on both sides) 0.57 x 16 =
x 16
(solve) 9.1 = x
<u>4th pic:</u> 
(write eqaution) tan 42 (tan 42 = 0.90) = 
(new equation) 0.90 = 
(multiply 15 on both sides) 0.90 x 15 =
x 15
(solve) 13.5 = x
Convert the percentages in decimals:
90/100 = 0.9, 20/100 = 0.2
Multiply the decimals:
0.9 times 0.2 is 0.18, or 18%
Greg has an 18% chance of being elected both positions.
x*(1.035) + (4,200-x)*(1.045) = 4,374.00
1.035x + 4,389.00 -1.045x = 4,374.00
15.00 = .01x
x = 1,500 so x (1,500) invested at 3.5% and
(4,200 - 1,500) (or 2,700) invested at 4.5%