The total amount is $ 1015.82 and interest amount is $ 165.82
<em><u>Solution:</u></em>
<em><u>The formula for amount when interest is compounded annually is:</u></em>
![\mathrm{A}=P\left(1+r}\right)^{n}](https://tex.z-dn.net/?f=%5Cmathrm%7BA%7D%3DP%5Cleft%281%2Br%7D%5Cright%29%5E%7Bn%7D)
Where,
"A" is the total amount
"P" is the principal
"r" is the rate of interest in decimal form
"n" is the number of years
<em><u>From given, $850 at 2% for 9 years, compounded annually</u></em>
P = 850
t = 9 years
![r = 2 \% = \frac{2}{100} = 0.02](https://tex.z-dn.net/?f=r%20%3D%202%20%5C%25%20%3D%20%5Cfrac%7B2%7D%7B100%7D%20%3D%200.02)
<em><u>Substituting the given values we get,</u></em>
![A = 850(1+0.02)^9\\\\A = 850 \times 1.02^9\\\\A = 850 \times 1.1950\\\\A = 1015.82](https://tex.z-dn.net/?f=A%20%3D%20850%281%2B0.02%29%5E9%5C%5C%5C%5CA%20%3D%20850%20%5Ctimes%201.02%5E9%5C%5C%5C%5CA%20%3D%20850%20%5Ctimes%201.1950%5C%5C%5C%5CA%20%3D%201015.82)
Thus total amount is $ 1015.82
Interest amount = Total amount - principal
Interest amount = 1015.82 - 850
Interest amount = 165.82
Thus total amount earned is $ 1015.82 and interest amount is $ 165.82
I think the answer id 304.67 hope this helps!
Answer:
-66/7
Step-by-step explanation:
1/3x-11=3/2x
2/6x-11=9/6x
7/6x=-11
x=-66/7
Answer:
Below.
Step-by-step explanation:
The 2 triangles are congruent ( By 2 angles and corresponding side).
The 2 marked angle are congruent so
5y - 30 = 2y + 6
3y = 36
y - 12.
So m < O = 5(12) - 30 = 30 degrees.
and m <N = 180 - 30 - 90 = 60 degrees, (as there are 180degrees in triangle)
EN = IV = 14.
It is possible to find the measure of OE and ON by using trigonometry of a right triangle.
tan 30 = EN / OE
OE = EN / tan30
= 14/tan30
= 24.3.
sin 30 = 14/ON
ON = 14 / sin 30
= 28.