Answer:
30/420 or 1/14
Step-by-step explanation:
3*2*7/5*7*12= 30/420 simplify the you get 1/14
The rate at 14% and 5% are $12, 883 and $2191 respectively.
<h3>How to determine the rate</h3>
Given that;
Invested amount = $ 15, 074 at 14% and 5%
Let rate at 14% = x
rate at 5% = y
We have rate at 9% exceeds that of 5% by $1694. 07
Hence,
0. 14x = 0. 05y + $1694. 07 ⇒ equation 1
x + y = $15, 074 ⇒ equation 2
Make 'x' the subject
x = 
Substitute in equation 2
Expand the expression
Collect like terms
Make 'y' the subject
y = 
y = 
Substitute the value in equation 2
x + y = $15, 074
x = $15, 074 - y
x = 
x = $12, 883
Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.
Learn more about simultaneous equations here:
brainly.com/question/16863577
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In order to find the perimeter, we need to have the length and the width. We are told that the area of the rectangle is 42. We will use that in the area formula, length times width, to solve for w. 42 = 7w so w = 6. The length is 7 and the width is 6. The perimeter formula for a rectangle is P = 2L + 2W. We have both the length and the width now, so we fill in accordingly. P = 2(7) + 2(6). And P=14+12. The perimeter then is 26 inches.
Okay so all you have to do is find the Area of each shape, then add them together. Starting with the square. Your formula is A=s4 All you have to do is plug in your number. A=26(4) Now solve. A=104. Now we have to find the area of a semicircle. Your formula is ((3.14)r squared)(.5) To find the radius (r) you divide the diameter by 2, so 26/2=13 Now all you have to do is plug in your numbers. (3.14)(13 squared)(.5) (3.14)(169)(.5)
(530.66)(.5) Your final answer is: 265.33 inches squared
