Answer: 187500
Step-by-step explanation:
Interest= principal ×rate×time/100
Let interest be I
Principal be P
Rate be r
Time be t
So we have
I=p×r×t/100
P in the question is 150000
T is 1year
R is 25%
Substitute for the values
I=150000×1×25/100
Interest= 37500
To know the exact cost now
Add the interest to the principal cost
Exact value=interest +principal
Exact value =37500+150000
Exact value=187500
The cost of the house now is=187500
2a + 3b, 6ab, And 2b + 3a
Answer:
0.0918
Step-by-step explanation:
We know that the average amount of money spent on entertainment is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.
The mean and standard deviation of average spending of sample size 25 are
μxbar=μ=95.25
σxbar=σ/√n=27.32/√25=27.32/5=5.464.
So, the average spending of a sample of 25 randomly-selected professors is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.
The z-score associated with average spending $102.5
Z=[Xbar-μxbar]/σxbar
Z=[102.5-95.25]/5.464
Z=7.25/5.464
Z=1.3269=1.33
We have to find P(Xbar>102.5).
P(Xbar>102.5)=P(Z>1.33)
P(Xbar>102.5)=P(0<Z<∞)-P(0<Z<1.33)
P(Xbar>102.5)=0.5-0.4082
P(Xbar>102.5)=0.0918.
Thus, the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.5 is 0.0918.
Answer:
Draw it with 9 cm for length and width.
Step-by-step explanation:
The product is the maximum area when the length and width are as close as possible, or equal to each other. Because length and width are 2 sides each, we can divide 36 by 4, which is 9.
9x9 = 81 cm^2. This is the largest area possible.
Given:
The function is

To find:
The zeros of the given function.
Solution:
The general form of polynomial is
...(i)
where, a is a constant,
are zeros of respective multiplicities
.
We have,

On comparing this with (i), we get


It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.
Therefore, the correct option is B.