Answer:
The amount that we should deposit in each bank is around $942.
Step-by-step explanation:
Case 1:
A=$1000
n = 12
t = 2
r = 3% or 0.03
p = ?
The compound interest formula is :
![A=p(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%3Dp%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Substituting values in the formula;
![1000=p(1+\frac{0.03}{12})^{12\times2}](https://tex.z-dn.net/?f=1000%3Dp%281%2B%5Cfrac%7B0.03%7D%7B12%7D%29%5E%7B12%5Ctimes2%7D)
=> ![1000=p(1.0025)^{24}](https://tex.z-dn.net/?f=1000%3Dp%281.0025%29%5E%7B24%7D)
=> ![1000=1.06175p](https://tex.z-dn.net/?f=1000%3D1.06175p)
![p=\frac{1000}{1.06175}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B1000%7D%7B1.06175%7D)
p = $941.84
Case 2:
A=$1000
n = 365
t = 2
r = 3% or 0.03
p = ?
![1000=p(1+\frac{0.03}{365})^{365\times2}](https://tex.z-dn.net/?f=1000%3Dp%281%2B%5Cfrac%7B0.03%7D%7B365%7D%29%5E%7B365%5Ctimes2%7D)
=> ![1000=p(1.0000822)^{730}](https://tex.z-dn.net/?f=1000%3Dp%281.0000822%29%5E%7B730%7D)
=>
![p=\frac{1000}{1.06184}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B1000%7D%7B1.06184%7D)
p = $941.76
The amount that we should deposit in each bank is around $942.
Answer:
The price went up by 8.77%
Step-by-step explanation:
Let
57 cents be "old value" and 62 cents be the "new value"
<em><u>Percentage increase is always given by:</u></em>
Percentage Increase = ![\frac{new-old}{old}*100](https://tex.z-dn.net/?f=%5Cfrac%7Bnew-old%7D%7Bold%7D%2A100)
<em>Substituting these values into the formula gives us:</em>
![\frac{new-old}{old}*100\\=\frac{62-57}{57}*100\\=0.0877*100\\=8.77](https://tex.z-dn.net/?f=%5Cfrac%7Bnew-old%7D%7Bold%7D%2A100%5C%5C%3D%5Cfrac%7B62-57%7D%7B57%7D%2A100%5C%5C%3D0.0877%2A100%5C%5C%3D8.77)
Hence the price went up by 8.77%
$9.99 is the change tendered from a $20 bill for a charge of $10.01. 20 - 10.01 = 9.99
P = 2w +2l
p = 2(11.1) + 2(12.5)
p = 22.2 +25
p= 47.2 meters
d. 47.2 meters
Answer:
Step-by-step explanation:
In ΔAED , ΔCEB
AD = BC { opposite sides of parallelogram are equal}
AE = CE { diagonals of parallelogram bisects each other}
BE = DE { diagonals of parallelogram bisects each other}
ΔAED ≅ ΔCEB (SSS congruence)