Step-by-step explanation:
30 30 30 30 30 30 30 30 30 30 30 30 xD
9514 1404 393
Answer:
- m∠EGF = 50°
- m∠D = 40°
- m∠ABE = 90°
Step-by-step explanation:
The drawing is a bit unfortunate, as it does not show the angles true to size.
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When the altitude (EG) of a triangle (∆DFG) is also a median, then that triangle is isosceles. Both halves are congruent right triangles.
∆GED ≅ ∆GEF
Since these are right triangles, the acute angle not given (∠EGF) is the complement of the one that is given.
m∠EGF = 90° -m∠F = 90° -40°
m∠EGF = 40°
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Of course, angle D in ∆GED is identical to its counterpart in ∆GEF, angle F, so ...
m∠D = 40°
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Because the lines are parallel, angle ABE corresponds (and is congruent) to angle DEG, which is marked as a right angle.
m∠ABE = 90°
Answer:
The selected graph is correct
Step-by-step explanation:
Using <span>Compound interest formula:
</span>
<span><span>The exponential function for calculating the amount of money after <span>t <span>years, <span>A<span>(<span>t<span>), where<span> P <span>is the initial amount or principal, the annual interest rate is <span>r <span>and the number of times<span> interest is compounded per year is n, is given by
</span></span></span></span></span></span></span></span></span></span></span></span>
![A(t) = p(1+ \frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20p%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D%20)
</span><span>from the given information:
p = 2,310 , r = 0.035 ,
</span><span>compounded daily ⇒⇒⇒ n =365
To calculate the time : </span>deposited April 12 and withdrawn July 5<span>
t = 2 months and 23 days = 83 days = 83/365 years
∴ n t = 365 * 83/365 = 83
Amount = </span>
<span>
![A(t) = 2310(1+ \frac{0.035}{365} )^{83}](https://tex.z-dn.net/?f=A%28t%29%20%3D%202310%281%2B%20%5Cfrac%7B0.035%7D%7B365%7D%20%29%5E%7B83%7D%20)
= 2,328.46
</span>The interest earned = <span><span>2,328.6458</span> - 2,310 = 18.46
</span>
2.25 sq inches is what you should get.