We have to calculate the fraction of Paula`s allowance that she spent on other items if she already had spent 3/8 on clothes and 1/6 on entertainment. First we have to add: 3 / 8 + 1 / 6 = ( LCD is 24 ) = 9 / 24 + 4 / 24 = 13 / 24. Then : 1 - 13 / 24 = 24 / 24 - 13 / 24 = 11 / 24. Answer: She has spent 11 / 24<span> of her allowance on other items. </span>
Answer:
The answer is 49 in^2.
Step-by-step explanation:
The area of the triangle is 1/2* perpendicular height * horizontal length.
The horizontal length is 14 in, while the perpendicular height is 7 in.
The area of the triangle is 1/2* 7 in * 14 in = 49 in^2
The trapezoid has two parallel sides
Set up equal ratios
t/6=0.75/4.5 multiply both sides by 6
t=4.5/4.5
t=1 hour
So it will take Madison one hour to ride another six miles.
<h3>Annual percent growth is 4.37 %</h3>
<em><u>Solution:</u></em>
<em><u>The increasing function is given as:</u></em>
![y = a(1+r)^t](https://tex.z-dn.net/?f=y%20%3D%20a%281%2Br%29%5Et)
Where,
y is future value
a is initial value
r is growth rate
t is number of years
From given,
a = 5000
y = 9500
t = 1997 to 2012 = 15 years
r = ?
<em><u>Substituting the values we get,</u></em>
![9500 = 5000(1+r)^{15}\\\\(1+r)^{15} = 1.9\\\\Take\ \frac{1}{15}th\ power\ on\ both\ sides\\\\1+r = (1.9)^{\frac{1}{15}}\\\\1+r = 1.04367\\\\r = 1.04367 - 1\\\\r = 0.04367\\\\In\ percentage,\\\\r = 0.04367 \times 100 \%\\\\r = 4.367 \% \approx 4.37 \%](https://tex.z-dn.net/?f=9500%20%3D%205000%281%2Br%29%5E%7B15%7D%5C%5C%5C%5C%281%2Br%29%5E%7B15%7D%20%3D%201.9%5C%5C%5C%5CTake%5C%20%5Cfrac%7B1%7D%7B15%7Dth%5C%20power%5C%20on%5C%20both%5C%20sides%5C%5C%5C%5C1%2Br%20%3D%20%281.9%29%5E%7B%5Cfrac%7B1%7D%7B15%7D%7D%5C%5C%5C%5C1%2Br%20%3D%201.04367%5C%5C%5C%5Cr%20%3D%201.04367%20-%201%5C%5C%5C%5Cr%20%3D%200.04367%5C%5C%5C%5CIn%5C%20percentage%2C%5C%5C%5C%5Cr%20%3D%200.04367%20%5Ctimes%20100%20%5C%25%5C%5C%5C%5Cr%20%3D%204.367%20%5C%25%20%5Capprox%204.37%20%5C%25)
Thus annual percent growth is 4.37 %