Answer:
Step-by-step explanation:
Use the info given in the exponential equation to find the value of b, the rate of decay.
where v(t) is the value of the car after a certain number of years, t, have gone by, a is the initial value, and b is the rate of decay. We have everything we need but b:
a = 20000
v(t) = 16000 after t = 1 year:
so
b = .8 Taken in context, this means that the car depreciates 20% each year. Now we can solve the problem being asked of us, which is to find the value of the car after t = 5 years:
which simplifies down a bit to
v(t) = 20000(.32768) so
v(t) = 6553.60, choice C.
Answer:
49 litres of petrol are needed to travel from town X to town Y and back.
Step-by-step explanation:
Well, first off, the variable X and Y, as well as the distance given (124 km) aren't important pieces of information in this equation. They're only there to throw you off and confuse you.
25L of <em>p</em> (petrol) to make the entire journey. After the engine has been tuned, it requires 2% less <em>p</em> than before it was tuned.
2%/100 = 0.02
0.02 * 25L = 0.5L
25L - 0.5L = 24.5L
Now, don't forget, at the end of the word problem we're asked how many litres of <em>p</em> would be required to travel from <em>x</em> to <em>y</em> <em><u>AND BACK</u></em>. So it's not only 24.5L, it's double that (24.5 * 2 = 49L)
Good luck!!
The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.so the resulting expression when you of apply the distributive property to 14(−3n+32)= (14) (-3n) + (14) (32)= -42n + 448
Answer: I'm not sure if this if the correct answer but my best guess would be 3N=1M or something like that.
I can't do the second part without seeing a picture or something
I'm sorry if this was wrong
Step-by-step explanation:
Equivalent fractions can be found by multiplying numerator and denominator by the same number.
for example : 2/5 * 3/3 = 6/15......2/5 and 6/15 are equivalent. Just like 2/5 * 4/4 = 8/20......2/5 and 8/20 are equivalent...so basically, if u multiply the numerator by a certain number, and the denominator by that same number, u will get an equivalent fraction.
Now to ur problem...
x 54
------ = -----
7 42
now look at ur denominators....7 x what = 42 ? 7 x 6 = 42...so u have multiplied the denominator by 6....so u would have to multiply the numerator by 6.....or divide by 6....54/6 = 9.....or 9 x 6 = 54. So that missing value is 9.
9/7 = 54/42
check..
9/7 * 6/6 = 54/42 (equivalent)
