Answer:
f(t) = 66·0.995^t
Step-by-step explanation:
You can try t=0 and t=1 in each of the formulas to see which one gives values of 66 and 0.5% less than 66, or 65.67.
The first function has an initial value of 0.5, so is not correct.
The second function gives f(1) = 99, so is not correct.
The third function gives f(1) = 65.67, so is correct.
The fourth function gives f(1) = 66.33, so is not correct.
_____
You can realize that the multiplier will be 0.5% less than 100%, so will be 99.5% = 0.995. This number shows up only in the third selection.
Answer:
x = 2
Step-by-step explanation:
To start, you want to isolate x.
To do so, get all the x terms to one side.
2x + 1 = 4x - 3
Subtract -4x on both sides.
-2x + 1 = -3
Then, subtract 1 on both sides.
-2x = -4
Finally, divide -2 on both sides.
x = 2
Answer:
Ram: 21, Hari: 12
Step-by-step explanation:
To solve the problem, we can use the following notation. We call:
= Ram's age at present
= Hari's age at present
We know that:
- Ram is 9 years older than Hari --> mathematically, this can be written as

- Three years ago, Ram was two times as old as Hari was --> mathematically, this can be written as

where (r-3) is Ram's age 3 years ago, while (h-3) is Hari's age 3 years ago
Substituting eq.(1) into eq.(2), we find:

So, Hari's age is 12; therefore, Ram's age is
Answer:
D
Step-by-step explanation:
42 minus 31 is 11
so 11/42 = /100
Answer:
The area of a sector GHJ is 
Step-by-step explanation:
step 1
we know that
The area of a circle is equal to

we have

substitute


step 2
Remember that the area of a complete circle subtends a central angle of 360 degrees
so
by proportion find the area of a sector by a central angle of 65 degrees

Use 
