Answer:
The principal must be = $8991.88
Step-by-step explanation:
Formula for compound interest is:
![A = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A is the amount after 't' years.
P is the principal amount
n is the number of times interest is compounded each year.
r is the rate of interest.
Here, we are given that:
Amount, A = $15000
Rate of interest = 13 % compounded quarterly i.e. 4 times every year
Number of times, interest is compounded each year, n = 4
Time, t = 4 years.
To find, Principal P = ?
Putting all the given values in the formula to find P.
![15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88](https://tex.z-dn.net/?f=15000%20%3D%20P%281%20%2B%20%5Cfrac%7B13%7D%7B400%7D%29%5E%7B4%5Ctimes%204%7D%5C%5C%5CRightarrow%2015000%20%3D%20P%281%20%2B%200.0325%29%5E%7B16%7D%5C%5C%5CRightarrow%2015000%20%3D%20P%281.0325%29%5E%7B16%7D%20%5C%5C%5CRightarrow%2015000%20%3D%20P%20%5Ctimes%201.66817253%5C%5C%5CRightarrow%20P%20%3D%20%5Cdfrac%7B15000%7D%7B1.66817253%7D%5C%5C%5CRightarrow%20P%20%5Capprox%20%5C%248991.88)
So, <em>the principal must be = $8991.88</em>
Answer:
x = 5m/s
Step-by-step explanation:
Distance flying out = 12 km (headwind)
Distance flying back = 12 km (tailwind)
total distance = 12 + 12 =24 km
wind speed = 1km/h
speed going out (with headwind) = (x - 1) km/h
speed coming back (with tailwind) = (x + 1) km/h
Time taken to go out = distance going out / speed going out
= 12 / (x-1)
Time taken to come back = distance coming back / speed coming back
= 12 / (x+1)
total time = time taken to go out + time taken to come back
5 =[ 12/(x-1) ] + [ 12/(x-1)]
expanding this, we will get
5x² - 24x - 5 = 0
solving quadratic equation, we will get
x = -1/5 (impossible because speed cannot be negative)
or
x = 5 (answer)
Answer:
14: 9
+
5
ℎ
15: −
1
6
+
9/
9
Step-by-step explanation:
14 : ℎ
⋅
5
+
(
9
)
5ℎ+
(9)
^^ Re-order terms so constants are on the left
5ℎ+
⋅
9 also 5
ℎ+9 then after this you would wanna re arange the terms so it would be 9
+
5
ℎ
Answer:
A. Area = 5/9 sq.meters
Step-by-step explanation:
Area = (lenght × widht)
![A=(\frac{5}{6} )(\frac{2}{3}) =\frac{(5)(2)}{(6)(3)} =\frac{10}{18}](https://tex.z-dn.net/?f=A%3D%28%5Cfrac%7B5%7D%7B6%7D%20%29%28%5Cfrac%7B2%7D%7B3%7D%29%20%3D%5Cfrac%7B%285%29%282%29%7D%7B%286%29%283%29%7D%20%3D%5Cfrac%7B10%7D%7B18%7D)
simplified
![A=\frac{5}{9}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B5%7D%7B9%7D)
Hope this helps