Answer:
11.1 years
Step-by-step explanation:
The formula for interest compounding continuously is:
Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years. Filling in what we have looks like this:
We will simplify this first a bit by dividing 2000 by 1150 to get
To get that t out the exponential position it is currently in we have to take the natural log of both sides. Since a natural log has a base of e, taking the natual log of e cancels both of them out. They "undo" each other, for lack of a better way to explain it. That leaves us with
ln(1.739130435)=.05t
Taking the natural log of that decimal on our calculator gives us
.5533852383=.05t
Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.
Let S = the original price of the sweater. Now, lets step through the problem...
The friend goes shopping with $35 and ends up left with $10.50. This means she spent 35 - 10.50 = 24.50 on the sweater after the sale and coupon.
Next, the sweater is on sale for 50%. This means we take S and take 50% of that. S*.50
Next, she uses a $5 off coupon. Thus, we want to subtract $5 from the price.
Lets combine this all together!
24.50 = S*.50 - 5
Solve for S.
24.50 = S*.50 - 5
29.50 = S*.50
$59 = S
Thus, the original price of the sweater was $59.
6. Tree B is growing the fastest
7. Tree A was the tallest plant first planted
8. Tree B is the tallest after 6 months
9. Bombinoes restaurant
10. Little Squeezers
11. Little Squeezers
5x + 18y = 23
x + 3y = 2 .....multiply by -5
----------------
5x + 18y = 23
-5x - 15y = -10 (result of multiplying by -5)
----------------add
3y = 13 <=== the resulting equation
Answer:
Retainers have been designed to be used as an end of treatment to help retain your teeth in their new position. ... These are removable and fixed retainers. The reason why retainers can't be used to close a gap is because they are fitted at the end of treatment and are made to fit the straight teeth mould.
hope it help u
itz by Riddhi
