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.
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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:
Talisa is 62 inches tall
Step-by-step explanation:
tan = opp/adj
tan60 = opp/36
36 * tan 60 = opp
use calculator
opp = 62.353829072479583
Rounded
Talisa is 62 inches tall
Answer:
3(4g + 6) = 2(6g + 9)
Distribute 3 and 2 inside their respective parentheses.
12g + 18 = 12g + 18
Step-by-step explanation:
(2g+3)(5g^2-6)
or (5g^2-6)(2g+3)
Answer:
3 teaspoons
Step-by-step explanation:
Since we need 1 teaspoon for 2 cups, I would only assume we would keep adding a teaspoon for every 2 additional cups of chocolate chips.
2 + 2 + 2 = 6
We would need an additional teaspoon of salt for each of the sets of two.
Formula for compound interest is
Interest = Amount - Principal
Interest = 
- P
Where r = rate in percent
t = time in years
For Jaina,
P = $300
r= 7%
t = 3 yrs
So, Interest = 
- 300
For Tomas
P = $400
r= 4%
t = 3 yrs
So, Interest = 
- 400
So pair of equations for Jaina and Tomas are
Interest = - 300
Interest = - 400
