Answer:
C. (5x√2)² = 50x²
Step-by-step explanation:
Area of parallelogram = QR²
QR = √((5x)² + (5x)²) ---› pythagorean theorem
QR = √(25x² + 25x²) =
QR = √(50x²)
QR = √(25*2*x²)
QR = 5x√2
✔️Area of parallelogram = QR²
= (5x√2)² = 25x² × 2 = 50x²
The amount for the investment of $6000 will be a.$6369 b. $6090 and c.$6030.
<h3>What is compound interest?</h3>
Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
![A=P[1+\dfrac{r}{n}]^{nt}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7Bn%7D%5D%5E%7Bnt%7D)
a) The amount in the bank after 6 years if interest is compounded annually.
![A=P[1+\dfrac{r}{1}]^{t}\\\\\\A=6000[1+\dfrac{0.01}{1}]^{ 6}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7B1%7D%5D%5E%7Bt%7D%5C%5C%5C%5C%5C%5CA%3D6000%5B1%2B%5Cdfrac%7B0.01%7D%7B1%7D%5D%5E%7B%20%206%7D)
A= $6369
b) The amount in the bank after 6 years if interest is compounded quarterly.
![A=P[1+\dfrac{r}{4}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{4}]^{4\times 6}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7B4%7D%5D%5E%7B4t%7D%5C%5C%5C%5C%5C%5CA%3D6000%5B1%2B%5Cdfrac%7B0.01%7D%7B4%7D%5D%5E%7B4%5Ctimes%206%7D)
A= $6090
c ) The amount in the bank after 6 years if interest is compounded monthly.
![A=P[1+\dfrac{r}{12}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{12}]^{12\times 6}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7B12%7D%5D%5E%7B4t%7D%5C%5C%5C%5C%5C%5CA%3D6000%5B1%2B%5Cdfrac%7B0.01%7D%7B12%7D%5D%5E%7B12%5Ctimes%206%7D)
A=$6030
Hence the amount for the investment of $6000 will be a.$6369 b. $6090 and c.$6030.
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Answer:
105.5664, or 93 + 4 pi
Step-by-step explanation:
84 + 9 + 4 pi
equals 105.5664, or 93 + 4 pi
Break the shape into common shapes.
12 times 7 (rectangle) = 84
3 times 3 (square) = 9
Answer:
x = 5
Step-by-step explanation:
Solve for x:
2 (2 x - 5) = 3 x + x - 2 x
3 x + x - 2 x = 2 x:
2 (2 x - 5) = 2 x
Divide both sides by 2:
2 x - 5 = x
Subtract x from both sides:
(2 x - x) - 5 = x - x
2 x - x = x:
x - 5 = x - x
x - x = 0:
x - 5 = 0
Add 5 to both sides:
x + (5 - 5) = 5
5 - 5 = 0:
Answer: x = 5
Applying a dilation centered at the origin with scale factor
has the effect of multiplying both coordinates of a point by
:

So, in your case, the coordinates of the points double:
