Answer:
(b) 16 ft²
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h . . . . . where b1, b2 are the base lengths, h is the height
Using the values shown on the diagram, we find the area to be ...
A = 1/2(3 ft + 5 ft)(4 ft) = (1/2)(8 ft)(4 ft) = 16 ft²
The area of the trapezoid is 16 ft².
Step 4
The numerator of this fraction is right because there are 5 shaded sections, but the denominator is incorrect because there are 6 total boxes, not 5.
Hope this helps!!
Answer: choice A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that:
The investment amount in account = $ 320
The rate of interest is = 8.1% compounded quarterly
Compunded quarterly means 8.1% / 4 = 0.02025
The time period = t years
The objective is to write a function showing the value of the account after t years.
From compound interest , compounded monthly.
![Amount = Principal * ( 1 + \dfrac{rate}{12*100})^{12*time}](https://tex.z-dn.net/?f=Amount%20%3D%20Principal%20%2A%20%28%201%20%2B%20%5Cdfrac%7Brate%7D%7B12%2A100%7D%29%5E%7B12%2Atime%7D)
![= $320 *(1 + \dfrac{0.02025}{12*100})^{12t}](https://tex.z-dn.net/?f=%3D%20%24320%20%2A%281%20%2B%20%5Cdfrac%7B0.02025%7D%7B12%2A100%7D%29%5E%7B12t%7D)
![= 320*(1+ 1.6875*10^{-5})^{12t}](https://tex.z-dn.net/?f=%3D%20320%2A%281%2B%201.6875%2A10%5E%7B-5%7D%29%5E%7B12t%7D)
![= 320 * ( 1.000016875)^{12t}](https://tex.z-dn.net/?f=%3D%20320%20%2A%20%28%201.000016875%29%5E%7B12t%7D)
Thus; the function after t years ![= $320 * ( 1.000016875)^{12t}](https://tex.z-dn.net/?f=%3D%20%24320%20%2A%20%28%201.000016875%29%5E%7B12t%7D)
The percentage of growth per year is :
= (1 + 0.02025)^4 - 1
= 1.083493758 - 1
= 0.083493758
= 8.4 % (APY) yearly
Answer:
1) 366
2) 448
3) 748
Step-by-step explanation:
![SA_1 = 2(lw + lh + wh) = 2(13 * 9 + 13 * 3 + 9 * 3) = 2(117 + 39 + 27) = 2 * 183 = 366](https://tex.z-dn.net/?f=SA_1%20%3D%202%28lw%20%2B%20lh%20%2B%20wh%29%20%3D%202%2813%20%2A%209%20%2B%2013%20%2A%203%20%2B%209%20%2A%203%29%20%3D%202%28117%20%2B%2039%20%2B%2027%29%20%3D%202%20%2A%20183%20%3D%20366)
![SA_2 = 2(lw + lh + wh) = 2(20 * 4 + 20 * 6 + 4 * 6) = 2(80 + 120 + 24) = 2 * 224 = 448](https://tex.z-dn.net/?f=SA_2%20%3D%202%28lw%20%2B%20lh%20%2B%20wh%29%20%3D%202%2820%20%2A%204%20%2B%2020%20%2A%206%20%2B%204%20%2A%206%29%20%3D%202%2880%20%2B%20120%20%2B%2024%29%20%3D%202%20%2A%20224%20%3D%20448)
![SA_3 = 2(lw + lh + wh) = 2(16 * 14 + 16 * 5 + 14 * 5) = 2(224 + 80 + 70) = 2 * 374 = 748](https://tex.z-dn.net/?f=SA_3%20%3D%202%28lw%20%2B%20lh%20%2B%20wh%29%20%3D%202%2816%20%2A%2014%20%2B%2016%20%2A%205%20%2B%2014%20%2A%205%29%20%3D%202%28224%20%2B%2080%20%2B%2070%29%20%3D%202%20%2A%20374%20%3D%20748)