Answer: 17/50
Step-by-step explanation:
First, to add fractions, we must find a common denominator, in this case, 100.
Then, we must make the fractions being added all have the common denominator.
So, we must multiply 3/10 * 10/10, which equals 30/100
30/100 + 4/100
Then, just add across the numerator to get 34/100, which can be simplified to 17/50
Answer:
Option (2)
Step-by-step explanation:
Given expression is ![\sqrt[3]{64a^6b^7c^9}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64a%5E6b%5E7c%5E9%7D)
By simplifying this expression,
![\sqrt[3]{64a^6b^7c^9}=\sqrt[3]{(4)^3(a^2)^3(b^2)^3(b)(c^3)^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64a%5E6b%5E7c%5E9%7D%3D%5Csqrt%5B3%5D%7B%284%29%5E3%28a%5E2%29%5E3%28b%5E2%29%5E3%28b%29%28c%5E3%29%5E3%7D)
![=(4a^2b^2c^3)\sqrt[3]{b}](https://tex.z-dn.net/?f=%3D%284a%5E2b%5E2c%5E3%29%5Csqrt%5B3%5D%7Bb%7D)
Option (1)
= ![2ab^2c^2\sqrt[3]{a^2c}](https://tex.z-dn.net/?f=2ab%5E2c%5E2%5Csqrt%5B3%5D%7Ba%5E2c%7D)
Option (2)
[Fully simplified form]
Option (3)
[Fully simplified form]
Option (4)
![8a^2b^2c^3(\sqrt[3]{b})](https://tex.z-dn.net/?f=8a%5E2b%5E2c%5E3%28%5Csqrt%5B3%5D%7Bb%7D%29)
Expression given in Option (2) is equivalent to the given expression.
Option (2) will be the answer.
Answer:
At 7% $54,000
At 9% $156,000
Step-by-step explanation:
Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%
We know that:
7% = 0.07 & 9% = 0.09
So we can write the interest equation as follows:
0.07x + 0.09 (2x + 48000) = 17820
0.07x + 0.18x + 4320 = 17820
0.25x + 4320 = 17820
Subtracting 4320 from both sides of the equation we get:
0.25x = 17820 - 4320
0.25x = 13500
Dividing both sides of the equation by 0.25 we get:
x = 13500 / 0.25
x = $54,000 invested at 7%
&
2 x 54000 + 48000
= $156,000 invested at 9%
Hence the amount invested at 7% is $54,000.
& the amount invested at 9% is $156,000.
This is how to solve this problem :)
Awnser: Its D uhm yea...
Step-by-step explanation: