Answer:
The rate of interest for the investment is 4.7%
Step-by-step explanation:
Given as :
The interest amount for investment = I = $250
The investment amount = p = $3500
The time period for investment = 18 months = 1.5 years
Let The rate of interest applied = r%
<u>Now, From Compound Interest </u>
Amount = Principal ×
∵ Interest = Amount - Principal
So, I = A - p
Or, A = I + p
Or, A = $250 + $3500
i.e A = $3750
∴ A = p ×
Or, $3750 = $3500 ×
Or, =
Or, 1.071428 = =
Or, 1.047069 =
Or, 1.047069 - 1 =
Or, 0.047069 =
∴ r = 0.047069 × 100
i.e r = 4.7069
So, The rate of interest = r = 4.7%
Hence, The rate of interest for the investment is 4.7% Answer
Answer:
x = 8
Step-by-step explanation:
Diagonals of a kite cross at right angles. That gives us a relation that can be solved for x.
<h3>Setup</h3>
The measure shown is equal to the angle measure of 90°.
14x -22 = 90
<h3>Solution</h3>
We can solve this 2-step linear equation in the usual way.
14x = 112 . . . . . . step 1, add the opposite of the constant to get x alone
x = 112/14 = 8 . . . step 2, divide by the coefficient of x
The value of x is 8.
Answer:
0.7611 = 76.11% probability that the weight of a randomly selected steer is less than 1140lbs.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the probability that the weight of a randomly selected steer is less than 1140lbs.
This is the pvalue of Z when X = 1140. So
has a pvalue of 0.7611
0.7611 = 76.11% probability that the weight of a randomly selected steer is less than 1140lbs.
1. x=85
2. x=19
These are the answers, happy holidays :)
Answer: 4.5π.
Step-by-step explanation: