Step-by-step explanation:
4x -20 + 3x +12 = 90
7x -8 = 90
7x = 98
x = 14
Angle F: 4(14) -20 = 36
Angle E: 3(14)+12= 54
Angle G : 90
Answer:
$7153.03
Step-by-step explanation:
To find the total amount after 3 years, we can use the formula for compound tax:
P = Po * (1+r/n)^(t*n)
where P is the final value, Po is the inicial value, r is the rate, t is the amount of time and n depends on how the tax is compounded (in this case, it is semi-annually, so n = 2)
For our problem, we have that Po = 5000, r = 12.3% = 0.123, t = 3 years and n = 2, then we can calculate P:
P = 5000 * (1 + 0.123/2)^(3*2)
P = 5000 * (1 + 0.0615)^6
P = $7153.029
Rounding to the nearest cent, we have P = $7153.03
Answer:
15, 17, 19, and 21
Step-by-step explanation:
make the equation
x+x+2+x+4+x+6=72
simplify
4x+12=72
x+3=18
x=15
To solve this problem you must appy the proccedure shown below:
1. You have the following function given in the problem above:
f(x)=e^2x
2. You can rewrite is:
y=e^2x
3. Interchange the variables, as below:
x=e^2y
3. The inverse of an exponential function is the logarithm function. Thereforem you have:
ln(x)=ln(e^2y)
ln(x)=2y
4.Then, you have:
y=ln(x)/2
Therefore, the answer is:
f^-1(x)=ln(x)/2
Answer:
12
Step-by-step explanation:
If she eats 3/4 of the bag, that means she has 1-3/4 = 4/4 -3/4 = 1/4 of the bag left
The bag has 48 nuts. Take the number of nuts times the 1/4 she has left
48 * 1/4 = 12
She has 12 nuts left
