Nguyen saves 15% of his income
<h3>How to determine the percentage?</h3>
The given parameters are:
Savings = $120
Income = $800
The percentage saved is calculated as:
Percentage = Savings/Income * 100%
This gives
Percentage = 120/800 * 100%
Evaluate
Percentage = 15%
Hence, Nguyen saves 15% of his income
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Answer:It should be x=1 not sure thought.
Step-by-step explanation:
A triangle can be drawn with exactly one acute angle is false (assuming the triangle is drawn on a 2-dimensional plane).
Answer:
the container is 1/4 full at 9:58 AM
Step-by-step explanation:
since the volume doubles every minute , the formula for calculating the volume V at any time t is
V(t)=V₀*2^-t , where t is in minutes back from 10 AM and V₀= container volume
thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4 ...
therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain
V=V₀*2^-t
V₀/4 = V₀*2^-t
1/4 = 2^-t
appling logarithms
ln (1/4) = -t* ln 2
t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2
thus t=2 min before 10 AM → 9:58 AM
therefore the container is 1/4 full at 9:58 AM
For synthetic division:
1) Write the coefficients of the polynomial under the division symbol, in order. Make sure you include coefficients that are 0, so they may not be written out in the polynomial!
The coefficients are 7, 1, 0 (the coefficient of x), and -4 in that order
2) The divisor is in the form of x - a. The number "a" goes outside the bracket.
a = 5
Since 7, 1, 0, -4 are under the bracket and 5 is outside the bracket, the answer is C.
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Answer: C
