So, to set up your equation is the hardest part. If you remember the basic format, you're set.
I(t) = P * (1+r%)^t
t= time and this will be our variable
Initial amount P = $2740
Rate = 4.3% which converts numerically into .043
I(t) = 7000
Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.
I(t) = $2740(1+4.3%)^t
I(t)=2740(1.043)^t
Now plug in for $7000 for I(t)
7000=2740(1.043)^t Divide both sides by 2740
7000/2740 = 2740/2740(1.043)^t
2.55474453=(1.043)^t
Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.
In your calculator you can set up:
ln(2.55474453)/ln(1.043) = t which is the method I prefer since it's much simpler
t=22.278528
but you can also graph it in your ti-84
with
y1=2.55474453
y2=(1.043)^x
and find where they intersect on the graph.
either way it'll be the same answer
The final cost of skateboard will be $83.10
Step-by-step explanation:
Given,
Cost of skateboard = $98
Coupon = 20% off
Amount of discount = 20% of cost of skateboard
![Amount\ of\ discount=\frac{20}{100}*98\\\\Amount\ of\ discount=\frac{1960}{100}\\\\Amount\ of\ discount=\$19.6](https://tex.z-dn.net/?f=Amount%5C%20of%5C%20discount%3D%5Cfrac%7B20%7D%7B100%7D%2A98%5C%5C%5C%5CAmount%5C%20of%5C%20discount%3D%5Cfrac%7B1960%7D%7B100%7D%5C%5C%5C%5CAmount%5C%20of%5C%20discount%3D%5C%2419.6)
Cost of skateboard after discount = Cost of skateboard - Amount of discount
Cost of skateboard after discount = 98 - 19.6 = $78.4
Sales tax = 6%
Sales tax amount = 6% of discounted price
![Sales\ tax\ amount=\frac{6}{100}*78.4\\\\Sales\ tax\ amount=\frac{470.4}{100}\\\\Sales\ tax\ amount=\$4.70](https://tex.z-dn.net/?f=Sales%5C%20tax%5C%20amount%3D%5Cfrac%7B6%7D%7B100%7D%2A78.4%5C%5C%5C%5CSales%5C%20tax%5C%20amount%3D%5Cfrac%7B470.4%7D%7B100%7D%5C%5C%5C%5CSales%5C%20tax%5C%20amount%3D%5C%244.70)
Final cost of skateboard = Discounted price + Sales tax
Final cost of skateboard = 78.40+4.70 = $83.10
The final cost of skateboard will be $83.10
Keywords: sales tax, addition
Learn more about addition at:
#LearnwithBrainly
Answer:
$121.51
Step-by-step explanation:
At 18.7%, the monthly multiplier is 1+.187/12, so for the year, James' balance is multiplied by (1+.187/12)^12 ≈ 1.2038899
At 12.5%, the monthly multiplier is 1+.125/12, so for the year, James' balance is multiplied by (1+.125/12)^12 ≈ 1.1324161
The difference in these multipliers is ...
1.2038899 -1.13241605 = 0.0714739
so James' savings is ...
$1700 × 0.0714739 ≈ $121.51
you're absolutely correct.
each system is sold for $2150, that includes cost + markup, namely the markup is the surplus amount otherwise called "profit".
they sold 12 of those, 2150 * 12 = 25800
they had $4824.36 in profits from it, so if we subtract that from the sale price, we'll be left with the cost of all 12 systems
25800 - 4824.36 = 20975.64
that's the cost for all 12 systems sold, how many times does 12 go into 20975.64? 20975.64 ÷ 12 = 1747.97.