Answer:
13 dollars and 44 cents, 56 cents.
Step-by-step explanation:
134 dollars are 40 cents = 134.4 dollars.
10b = 134.4
b = 13.44
13 dollars and 44 cents
There are 24 cookies to a batch
24c = 13.44
c = 0.56.
so each cookie costs 56 cents
Answer:
$13.97 was the price of the dinner b4 tax and tip
Step-by-step explanation:
18.60 - 11% (1.84) = 16.76
16.76 - 20%(2.79) = 13.97
So you're initial equation is
![(2/6)*24=m](https://tex.z-dn.net/?f=%282%2F6%29%2A24%3Dm)
. Well since
![2/6=1/3](https://tex.z-dn.net/?f=2%2F6%3D1%2F3)
, plug in 24 for the 1 in
![1/3](https://tex.z-dn.net/?f=1%2F3)
. So
![24/3=m](https://tex.z-dn.net/?f=24%2F3%3Dm)
, and
![24/3=8](https://tex.z-dn.net/?f=24%2F3%3D8)
so
![m=8](https://tex.z-dn.net/?f=m%3D8)
.
Solution:
Principal =P= $ 7,500
Option A→(Simple interest)
Rate of interest= R=4%
Time(
)=4 years
Time(
)=6 years
Amount= Principal + Interest(Simple or compound interest)
Formula for Simple interest
![S.I=\frac{P\times R\times T}{100}](https://tex.z-dn.net/?f=S.I%3D%5Cfrac%7BP%5Ctimes%20R%5Ctimes%20T%7D%7B100%7D)
![S.I_{1}=\frac{7500 *4*4}{100}=1200\\\\ S.I_{2}=\frac{7500 *4*6}{100}=1800](https://tex.z-dn.net/?f=S.I_%7B1%7D%3D%5Cfrac%7B7500%20%2A4%2A4%7D%7B100%7D%3D1200%5C%5C%5C%5C%20S.I_%7B2%7D%3D%5Cfrac%7B7500%20%2A4%2A6%7D%7B100%7D%3D1800)
Total amount after 4 years when interest is simple= 7500 +1200= $ 8700
Total amount after 6 years when interest is simple= 7500 +1800= $ 9300
Option B
Formula for amount(A) when interest is 3.15% compounded annually.
![A=P*(1+\frac{R}{100})^t](https://tex.z-dn.net/?f=A%3DP%2A%281%2B%5Cfrac%7BR%7D%7B100%7D%29%5Et)
![A_{4}=7500*(1+\frac{3.15}{100})^4\\\\ A_{4}=7500*(\frac{103.15}{100})^4\\\\ A_{4}=7500*(1.0315)^4\\\\ A_{4}=7500*1.1320\\\\ A_{4}=8490.60](https://tex.z-dn.net/?f=A_%7B4%7D%3D7500%2A%281%2B%5Cfrac%7B3.15%7D%7B100%7D%29%5E4%5C%5C%5C%5C%20A_%7B4%7D%3D7500%2A%28%5Cfrac%7B103.15%7D%7B100%7D%29%5E4%5C%5C%5C%5C%20A_%7B4%7D%3D7500%2A%281.0315%29%5E4%5C%5C%5C%5C%20A_%7B4%7D%3D7500%2A1.1320%5C%5C%5C%5C%20A_%7B4%7D%3D8490.60)
![A_{6}=7500*(1+\frac{3.15}{100})^6\\\\ A_{6}=7500*(\frac{103.15}{100})^6\\\\ A_{6}=7500*(1.0315)^6\\\\ A_{6}=7500*1.2045\\\\ A_{6}=9033.9286](https://tex.z-dn.net/?f=A_%7B6%7D%3D7500%2A%281%2B%5Cfrac%7B3.15%7D%7B100%7D%29%5E6%5C%5C%5C%5C%20A_%7B6%7D%3D7500%2A%28%5Cfrac%7B103.15%7D%7B100%7D%29%5E6%5C%5C%5C%5C%20A_%7B6%7D%3D7500%2A%281.0315%29%5E6%5C%5C%5C%5C%20A_%7B6%7D%3D7500%2A1.2045%5C%5C%5C%5C%20A_%7B6%7D%3D9033.9286)
Total amount after 4 years when interest is compounded annually=$ 8491 (approx)
Total amount after 6 years when interest is compounded annually=$ 9034(approx)