Answer:
$3100 is invested at 9%
$4900 is invested at 11%
Step-by-step explanation:
Let's take "x" be the amount invested at 9%.
(x + 1800) is invested in another account at 11%.
The interest amount earned by the two accounts is $818.
Here we can use the simple interest formula and find the amount invested in each account.
Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.
Simple interest =
0.09x + 0.11(x+1800) = 818
Now we have to simplify and find the value of x .
Use the distributive property and simplify the second term.
0.09x + 0.11x + 198 = 818
0.2x + 198 = 818
0.2x =818 - 198
0.2x = 620
x = 620/0.2
x = 3100.
So $3100 is invested at 9%
x + 1800 = 3100 + 1800
= $4900
$4900 is invested at 11%
Hope this helped.
Given: The following functions



To Determine: The trigonometry identities given in the functions
Solution
Verify each of the given function

B

C

D

E

Hence, the following are identities

The marked are the trigonometric identities
The GCF of 8 and 40 is 8. Hope that helps.
Answer: Volume = 174.71 cubic meters
Step-by-step explanation:
Hi, to answer this, first, we have to apply the formula for the circumference (C) of a circle.
C= 2πr
Substituting with c=19.4 in the formula, and solving for the radius (r)
19.4= 2πr
19.4/ 2π =r
r= 3.09
Finally we apply the formula:
Volume of a right circular cone: 1/3 π r^2 h
Where h is the height of the cone and r is the radius of the base.
Replacing with the values given and calculated:
V=1/3 π (3.09)^2 (17.5)
V = 174.71 cubic meters
Isometries I'm guessing<span>
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