Answer:
$10,242.41
Step-by-step explanation:
To calculate amounts with compounded interest, we use
where
-A is the total amount int he account after interest
-P is the principal or starting amount
-r is a decimal conversion of the percentage rate
-n is the number of times compounded a year
-t is the number of years
For this account, P=10000, r=0.016, n=4 for 4 quarters in a year, and t=1.5 since 18 months is 1.5 years. We substitute and find:
![A=10000(1+\frac{0.016}{4})^{4(1.5)}](https://tex.z-dn.net/?f=A%3D10000%281%2B%5Cfrac%7B0.016%7D%7B4%7D%29%5E%7B4%281.5%29%7D)
![A=10000(1+0.004)^{4(1.5)}=A=10000(1.004)^{6}=10000(1.024241)=10,242.41](https://tex.z-dn.net/?f=A%3D10000%281%2B0.004%29%5E%7B4%281.5%29%7D%3DA%3D10000%281.004%29%5E%7B6%7D%3D10000%281.024241%29%3D10%2C242.41)
Answer:
The probability is 0.044
Step-by-step explanation:
Let p be the probability that the new principal’s performance is approved.
This is obtainable from the survey and it is 8/10 = 0.8
Let q be the probability that the new principal’s performance is disproved.
That will be;
1 - q = 1- 0.8 = 0.2
To calculate the probability that 14 parents names are chosen at random and they all
approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.
That will be;
14C14 * p^14 * q^0
= 1 * 0.8^14 * 0.2^0
= 0.043980465111 which is approximately 0.044
Answer:
88
Step-by-step explanation:
Answer: Negative 20.75
Step-by-step explanation:
The question simply wants us to convert the temperature shown by the thermometer to decimal. We should note that the temperature shown is Negative 20 and three-fourths degrees.
First, we convert 3/4 to decimal. This will be:
= 3/4 = 0.75.
Therefore, -20 3/4 = -20.75