Answer:
let he invest x part of earning at the rate of 8%
simple interest = P*T*R/100 = x*1*8/100 = 0.08x
His invest at the rate of 7.5% = 3050 - x
Again simple interest = P*T*R/100 = (3050 - x)*1*7.5/100 = 228.75 - 0.075x
N0w acc0rding to question
0.08x + 228.75 - 0.075x = 242
0.005x= 13.25
x = 2650
rehman invest 2650 at 8% per year
He invest (3050-2650) = 400 0n 7.5% per year
Step-by-step explanation:
Answer:
a) v=6
b) s= u^2 - v^2 : -2a
Step-by-step explanation:
v^2=u^2+2as
u=12, a=-6, s=9
a)
(12)^2= 12 * 12= 144
v^2=u^2+2as
v^2=(12)^2+ 2*(-6)*9
v^2=144+(-12)*9
v^2=144+(-108)
v^2=36
v=6
b)
v^2=u^2+2as
-2as=u^2 - v^2
s= u^2 - v^2 : -2a
check for s
s= 144 - 36 : -2(-6)
s= 108 : 12
s=9 (equal vs the given)
Answer:
$521.58 < μ < $666.1
Step-by-step explanation:
Spring break can be a very expensive holiday. A sample of 80 students is surveyed, and the average amount spent by students on travel and beverages is $593.84 at 92% confidence level. The sample standard deviation is approximately $369.34. Is $521.58 ≤μ≤ $666.10 correct?
Given that:
number of samples (n) = 80 students, mean (μ) = $593.84, standard deviation (σ) = $369.34, confidence level (c) = 92% = 0.92.
α = 1 - c = 1 - 0.92 = 0.08
the z score of 0.46 (0.5 - 0.04) is the same as the z score of 0.04. This is gotten from the Normal Distribution Table.
Therefore,
The margin of error (e) is given as:
The confidence interval = (μ - e, μ + e) = ($593.84 - $72.26, $593.84 + $72.26) = ($521.58, $666.1)
The confidence interval is $521.58 < μ < $666.1
It would be x<span>≤5. She can get the maximum of 5 shirts, or less. </span>
Answer:Learn to find the area of composite figures that contain circles and semi-circles. ... The area of the rectangle is 48 square inches. Next, recognize that ... Find the area of a figure that is made up of a square and a semi-circle.
Step-by-step explanation:I have made this reasoning: an eyelet consists of two semicircles and a rectangle (or two semirectangle), then a semicircle and a semirectangle ..But some irregular figures are made up of two or more standard geometric shapes. To find the ... We will break the figure into a rectangle and two semi-circles.