y = abˣ
20 = ab¹
20 = ab
b b
20/b = a
y = abˣ
4 = (20/b)b²
4 = 20b
20 20
¹/₅ = b
y = abˣ
20 = ¹/₅b¹
20 = ¹/₅b
¹/₅ ¹/₅
100 = b
y = abˣ
y = 100(0.2)ˣ
Answer:
3%
Step-by-step explanation:
1kg = 1000g
30÷1000 × 100 = 0.03×100=3%
9514 1404 393
Answer:
increasing 7/24 ft per week
Step-by-step explanation:
An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.
If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...
b = √(25^2 -(7-x)^2) = √(625 -(49 -14x +x^2)) = √(-x^2 +14x +576)
Then the rate of change of b with respect to x is ...
b' = (-2x +14)/(2√(-x^2 +14x +576))
When x=0, the rate of change of the base is ...
b' = 14/(2√576) = 7/24
The base is increasing 7/24 ft per week when the height is 7 ft.
(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour) = {3001·3600 miles)/(2.92·5280·1 hour) = 91080000 miles/15417.6 hours = 70.05 mph
Answer:
0.35m + 25 = 42.50
Step-by-step explanation:
If you were to rent a truck for one day you will first have to pay a $25 fee for one day. This is represented by + 25 in the equation above.
Then for every mile you go you must pay $0.35, represented as 0.35m.
<em>As an example to make it easier if you had to pay 1 dollar per mile and you went 10 miles it would cost $10. This can be proved by 1m (m being the variable for number of miles) Plug in 10 for m and you can asee 1(10)=10, because obviously 1 times 10 is 10. </em>
Same premise with $0.35
Then both of those fees added up are equal to a total of $42.50.
To prove it can find the exact number of miles that need to be driven to cost a total of $42.50 just follow steps bellow.
1. 0.35m + 25 - 25 = 42.50 - 25
Subtracting the inital fee since it is part of the total, and if you add/subtract/multiply/divide on one side you must do to the other.
2. 0.35m/0.35 = 17.50/0.35
You divide because m is being multiplied with 0.35 and to undo the multiplication you divide. Doing the same to both sides.
3. m = 50
Plug in 50 to "m" in the equation above and if both sides are equal the answer is valid.
