Step-by-step explanation:
Let the common multiplier of the given ratios be x.
Therefore,
length of rectangle (l) = 4x
Width of rectangle (w) = x
Perimeter of rectangle = 2 (4x + x)
![\therefore \: 65 = 2 \times 5x \\ \\ \therefore \: 65 = 10x \\ \\ \therefore \:x = \frac{65}{10} \\ \\ \therefore \:x = 6.5 \: inches \\ \\ \therefore \:4x = 6.5 \times 4 = 26 \: inches \\](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%2065%20%3D%202%20%5Ctimes%205x%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%2065%20%3D%2010x%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3Ax%20%3D%20%20%5Cfrac%7B65%7D%7B10%7D%20%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3Ax%20%3D%20%206.5%20%5C%3A%20inches%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A4x%20%3D%20%206.5%20%20%5Ctimes%204%20%3D%2026%20%5C%3A%20inches%20%5C%5C%20)
Thus,
Length of rectangle = 26 inches
Width of the rectangle = 6.5 inches
Answer:
$ 305,298
Step-by-step explanation:
The formula to use would be:
![F=P(1+r)^t](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et)
Where F is the future amount (including principal and interest)
P is the amount taken [94,000]
r is the rate of interest per year [7.5% = 0.075]
t is the time in years [here, 20]
Lets put the info into formula and solve for F:
![F=P(1+r)^t\\F=94,000(1+0.075)^{20}\\F=94,000(1.075)^{20}\\F=399,298](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et%5C%5CF%3D94%2C000%281%2B0.075%29%5E%7B20%7D%5C%5CF%3D94%2C000%281.075%29%5E%7B20%7D%5C%5CF%3D399%2C298)
So, the interest paid is:
399,298 - 94,000 = $ 305,298
Answer:
C
Step-by-step explanation:
It was just in my notes....
Use the quadratic formula to find the solutions.<span><span><span><span>−b</span>±<span>√<span><span>b2</span><span><span>−4</span><span>(<span>ac</span>)</span></span></span></span></span><span>2a</span></span><span><span><span>-b</span>±<span><span>b2</span><span><span>-4</span><span>ac</span></span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=5</span><span>a=5</span></span>, <span><span>b=<span>−3</span></span><span>b=<span>-3</span></span></span>, and <span><span>c=<span>−4</span></span><span>c=<span>-4</span></span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>3±<span>√<span><span><span>(<span>−3</span>)</span>2</span><span><span>−4</span>⋅<span>(<span>5⋅<span>−4</span></span>)</span></span></span></span></span><span>2⋅5</span></span><span><span>3±<span><span><span>-3</span>2</span><span><span>-4</span>⋅<span>5⋅<span>-4</span></span></span></span></span><span>2⋅5</span></span></span>Simplify.Tap for more steps...<span><span>x=<span><span>3±<span>√89</span></span>10</span></span><span>x=<span><span>3±89</span>10</span></span></span>The result can be shown in both exact and approximate form.<span><span>x=<span><span>3±<span>√89</span></span>10</span></span><span>x=<span><span>3±89</span>10</span></span></span><span>x≈1.24339811,<span>−<span>0.64339811</span></span></span>
Answer:
1 in 12
Step-by-step explanation:
hard to explain