well, Diego is 4 now, so by his 18th birthday that'll be 14 years later.
![~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1600\\ r=rate\to 8.25\%\to \frac{8.25}{100}\dotfill &0.0825\\ t=years\dotfill &14 \end{cases} \\\\\\ A=1600[1+(0.0825)(14)]\implies A=1600(2.155)\implies A=3448](https://tex.z-dn.net/?f=~~~~~~%20%5Ctextit%7BSimple%20Interest%20Earned%20Amount%7D%20%5C%5C%5C%5C%20A%3DP%281%2Brt%29%5Cqquad%20%5Cbegin%7Bcases%7D%20A%3D%5Ctextit%7Baccumulated%20amount%7D%5C%5C%20P%3D%5Ctextit%7Boriginal%20amount%20deposited%7D%5Cdotfill%20%26%20%5C%241600%5C%5C%20r%3Drate%5Cto%208.25%5C%25%5Cto%20%5Cfrac%7B8.25%7D%7B100%7D%5Cdotfill%20%260.0825%5C%5C%20t%3Dyears%5Cdotfill%20%2614%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20A%3D1600%5B1%2B%280.0825%29%2814%29%5D%5Cimplies%20A%3D1600%282.155%29%5Cimplies%20A%3D3448)
Answer:
the volume of the hemisphere is 1970.2 cubic inches.
Step-by-step explanation:
The given is,
Radius of hemisphere is 9.8 inches.
Step:1
Formula of volume of hemisphere is,
..................(1)
Where,
r - Radius of hemisphere
Step:2
From the given,
r = 9.8 inches
Equation (1) becomes,
=
=
= (0.66666666)(3.1415)(942.192)
= 1971.23
Volume of hemisphere = 1971.23 cubic inches
Result:is 1970.2 cubic inches.
Answer:
<CFE = 28
<RPQ = 53
Step-by-step explanation:
1)
<CFE + 152 = 180
<CFE = 180 - 152
<CFE = 28
2)
Complementary means the angles add up to 90 so:
<RPQ + 37 = 90
<RPQ = 90 - 37
<RPQ = 53
<u>Answer:</u>
The coefficient of 
<u>Solution:
</u>
The given expression is 
As per binomial theorem, we know,

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10
Now
will be the 6 term where k =5
Now, 
So, the coefficient of
.

The coefficient of 
If you put it in fraction form and use PEMDAS to find the answer