Answer:
22 3/4
Step-by-step explanation:
divide 1/4 which is 0.25, then add 3 to that, then multiply it by 7 which is 22.75
then convert it back into a fraction which is 22 3/4
Answer:
The interest earned in 9 months is $25.45284
Step-by-step explanation:
The interest rate given by the bank = 4%
The rate at which the interest is applied = Quarterly
The amount of money deposited = $840
The formula for compound interest is given as follows;
![Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ]](https://tex.z-dn.net/?f=Compound%20%5C%20interest%20%3D%20P%20%5Ctimes%20%5Cleft%20%5B%20%5Cleft%281%20%2B%20%5Cdfrac%7Br%7D%7Bn%7D%20%5Cright%20%29%5E%7Bt%20%5Ctimes%20n%7D%20-%201%5Cright%20%5D)
Where;
P = The principal = $840
r = The rate = 4% = 0.04
n = The number of times the interest is compounded per period = quarterly = 4
t = The time duration in period = 9 months = 3/4 × 1 year
Substituting the values gives the Compound interest C.I. as follows;
![C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284](https://tex.z-dn.net/?f=C.I.%20%3D%20840%20%5Ctimes%20%5Cleft%20%5B%20%5Cleft%281%20%2B%20%5Cdfrac%7B0.04%7D%7B4%7D%20%5Cright%20%29%5E%7B%5Cdfrac%7B3%7D%7B4%7D%20%20%5Ctimes%203%7D%20-%201%5Cright%20%5D%20%3D%20840%20%5Ctimes%20%5Cleft%20%5B%20%5Cleft%281%20%2B%20%5Cdfrac%7B0.04%7D%7B4%7D%20%5Cright%20%29%5E%7B%203%7D%20-%201%5Cright%20%5D%20%3D%20%5C%24%2025.45284)
The interest earned in 9 months = $25.45284.
Answer:
time in going is 4 hours, and time in returning is 4.5 hours.
Step-by-step explanation:
Let the distance be d.
Let the time taken in going to New York be 't'.
Since returning time exceeded by 30 min (i.e. 05 hr), so time returning will be t+0.5.
From Home to New York,
d=s*t, so d=45*t
From New York to Home,
d=40 * (t+0.5)
Since distance (d) from home to new york & vice versa is same, we have-
45*t=40 (t+0.5)
9t=8t+4
so, t=4 hours
Hence time in going is 4 hours, and time in returning is 4.5 hours.
Answer:
Mean-69
Median-73
Mode- There is no mode
Range-36
Step-by-step explanation:
Answer:
n-2
Step-by-step explanation:
1. Find what has been done to the input value to give the output value. Here, we can see that each input value is two more than each output value, so two has been subtracted from each input value to give the output. This means that the rule for this function is: <em>take the input value and subtract two.</em>
2. Express this in terms of n. We can then express this in terms of n (using n to show the rule that we have found). Since n is the input value we have, to find the output when the input is n, we subtract two from n. This gives us our answer of n-2.
