Answer:
The values of a and b are a = 11 , b = 7
Step-by-step explanation:
* Lets explain how to solve the problem
* In the exponential functions we have some rules
1- In multiplication if they have same base we add the power
# Ex: b^m × b^n = b^(m + n) ⇒ b is the base , m and n are the powers
2- In division if they have same base we subtract the power
# Ex: b^m ÷ b^n = b^(m – n) ⇒ b is the base , m and n are the powers
3- If we have power over power we multiply them
# Ex: (b^m)^n = b^(mn) ⇒ b is the base , m and n are the powers
* Lets solve the problem
∵ The equation is 
⇒ (1)
- At first multiply the coefficients
∵ -4 × 5 = -20
- Multiply the base x
∵ 
- Multiply the base y
∵ 
∴ 
⇒ (2)
- By comparing (1) and (2)
∴ a = 11 and b = 7
* The values of a and b are a = 11 , b = 7
Answer:
$7995.85
Step-by-step explanation:
We will use simple interest formula to solve our given problem.
, where,
A = Amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.
Answer:
or
Step-by-step explanation:
step 1
Find the equation of the line in point slope form
we have
substitute
step 2
Convert to slope intercept form
we have
Isolate the variable y
3x+1+52 = 180°
Remember, angles in a straight line must ALWAYS add up to 180°.
Hey there!
9x - 3 = 7(x + 3) + 2n
➡️ 9x - 3 = 7(x) + 7(3) + 2n
➡️ 9x - 3 = 7x + 21 + 2n
ADD -7x to BOTH SIDES
2n + 7x + 21 + (-7x) = 9x - 3 + (-7x)
SIMPLIFY IT!
2n + 21 = 2x - 3
ADD -21 to BOTH SIDES
2n + 21 + (-21) = 2x - 3 + (-21)
SIMPLIFY THIS AS WELL!
2n = 2x - 24
DIVIDE 2 to BOTH SIDES
2n/2 = (2x - 24)/2
FINALLY SIMPLIFY THIS LAST STEP!
n = x - 12
Answer: n = x - 12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
