Answer:
According to the change-of-base formula, we can rewrite the log base 2 as a logarithm of any other base. Since our calculators can evaluate the natural log, we might choose to use the natural logarithm, which is the log base e.
Step-by-step explanation:
Answer:
6,250
Step-by-step explanation:
(4.3+8.2)500
12.5(500)
6,250
Hope this helps! Please mark brainliest :)
Answer:
1
Step-by-step explanation:
The amplitude is 1.
This graph does not go through the origin, but has been translated up by 1 unit. If you draw a horizontal line through y = 1 you will see that the maximum distance the curve reaches above y = 1 is 1, which is the amplitude.
Because there's no picture provided, I can just give two points in order to formulate the equation using the point-slope formula. The x is in years while the y is in percentage. Suppose point 1 is (2, 35) and point 2 is (7,80).
Point Slope Formula: y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)
Substituting,
y - 35 = [(80 - 35)/(7 - 2)](x - 2)
y - 35 = 9(x - 2)
1. -35x+710 = -25x+570
-10x=-140
x=14
In 14 weeks, Pedro and Maria's accounts will have the same amount.
2. 9x+90 = 13x+50
-4x=-40
x=10
For 10 square yards of carpeting will the cost be the same for both stores.
3. 0.06x+44 = 0.09x+35
-0.09x= -9
x=100
For 100 miles both companies will charge the same price.
4. 15x+250 = 20x+200
-5x= -50
x= 10
It will take 10 weeks for the amount in each savings account to be the same.
5. 25x+250 = 50x
-25x = -250
x = 10
10 stereos must be sold to make the same amount of money under both plans.
Hope this helps!
