Answer: 84.09%
Step-by-step explanation:
1. 220-30=? ?=185
2. Divide 185 by 220 (as a fraction, 185 out of 220 is 185/220 which also means divide) 185 divided by 220 is about 0.8409
3. Multiply 0.8409 by 100 (since there is two zeros in 100 we can move the decimal to the right twice which gets you 84.09
Answer:
The smaller number is 127
Step-by-step explanation:
Lets write the given problem in equation form
sum of consecutive numbers n and n + 1 = n + n + 1 = 2n + 1
now we find twice of the sum of consecutive numbers n and n + 1
2*(2n + 1) = 4n + 2
given that
twice the sum of consecutive numbers n and n + 1 is 510
thus,
4n + 2 = 510
=> 4n = 510 -2 = 508
=> n = 508/4 = 127
Thus, the numbers are n = 127
n+1 = 127 + 1 = 128
the smaller number is 127
<h3>
Answer: angle Q = 75 degrees</h3>
Explanation:
The order of ABC and RPQ is important so we can match up the angles like so
- angle A = angle R .... first letters
- angle B = angle P .... second letters
- angle C = angle Q ... third letters
Meaning that angle Q = 75 since angle C is this measure.
Given:
![f(x)=\sqrt[]{5x^2-2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B%5D%7B5x%5E2-2%7D)
f(X) will be differentiated by chain rule.
![\begin{gathered} f^{\prime}(x)=\frac{1}{2\sqrt[]{5x^2-2}}\lbrack5(2x)\rbrack \\ f^{\prime}(x)=\frac{5x}{\sqrt[]{5x^2-2}} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%5E%7B%5Cprime%7D%28x%29%3D%5Cfrac%7B1%7D%7B2%5Csqrt%5B%5D%7B5x%5E2-2%7D%7D%5Clbrack5%282x%29%5Crbrack%20%5C%5C%20f%5E%7B%5Cprime%7D%28x%29%3D%5Cfrac%7B5x%7D%7B%5Csqrt%5B%5D%7B5x%5E2-2%7D%7D%20%5Cend%7Bgathered%7D)
Answer:
$203.02
Step-by-step explanation:
Since the bank in question compounds interest continuously, the following equation should be used to determine the final balance (B) in April's account:
Where "e" is a mathematical constant approximated as 2.7183, "i" is the interest rate (1.5%) and "t" is the investment time in years (1):
April's balance would be $203.02 after one year.
