The total interest earned is 40.75 and the final balance is 65.75
<u>Solution:</u>
Given, principle amount P = 25
Interest rate
Times compounded per year n = 12
Time in years t = 30
![Amount \ A=P\left(1+\frac{r}{n}\right)^{n t}](https://tex.z-dn.net/?f=Amount%20%5C%20A%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bn%20t%7D)
On substituting the values we get
![A = 25 [ 1+ \frac{0.0325}{12}]^{12\times30}= 25 [2.63]= 65.75](https://tex.z-dn.net/?f=A%20%3D%2025%20%5B%201%2B%20%5Cfrac%7B0.0325%7D%7B12%7D%5D%5E%7B12%5Ctimes30%7D%3D%2025%20%5B2.63%5D%3D%2065.75)
Interest I = A - P [since, A = P+I]
![\Rightarrow 65.75 - 25= 40.75](https://tex.z-dn.net/?f=%5CRightarrow%2065.75%20-%2025%3D%2040.75)
Answer:
Rewrite as an equation.
log
9(729)=x
Rewrite
log
9(729)=x
in exponential form using the definition of a logarithm. If
x and b
are positive real numbers and b
does not equal 1, then log b(x)=y is equivalent to by=x. 9x=729
Create expressions in the equation that all have equal bases.
(32)x=3
Rewrite
(32)x as 32x. 32x=36
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2 x 3=6
Solve for
x.x=3
The variable x
is equal to
3.3
Step-by-step explanation:
So, you would reflect it over the y-axis first. (x,y)->(-x,y) and get A’ (1,2) B’ (2,6) C’ (4,4). Then, you rotate 90 degrees clockwise (x,y)->(y,-x). So, A”(2,-1) B” (6,-2) C” (4,-4). Hope this helps.
Answer:
B
Step-by-step explanation:
The formula to determine slope is
.
Knowing this you can fill in the formula with the numbers: ![\frac{2-4}{-8+9}](https://tex.z-dn.net/?f=%5Cfrac%7B2-4%7D%7B-8%2B9%7D)
2 - 4 is -2, so the numerator is -2.
-8 + 9 = 1, so your denominator is 1.
Therefore, your fraction is
, or simply -2.