Answer:
C
Step-by-step explanation:
SAS axiom
SAS axiom
SAS axiomSAS axiom
SAS axiom
Answer:
y = -1/2x + 13/2
Step-by-step explanation:
The slope of a line that is perpendicular to a line will be a negative reciprocal. When you rewrite 2x-7=8 into slope-intercept form, you get y=2x-8. The negative reciprocal of the slope 2x is -1/2x. There is only one option with this slope. If you're still not sure then you can use a graphing calculator to check this. An online one would be desmos
Answer: 100mL
Step-by-step explanation:
A 15% alcohol solution contains 15mL alcohol in 100mL solution
In 400ml there will be 400mL·15/100 = 6,000mL/100 = 60mL alcohol
Let the volume of pure alcohol to be added V.
In the new solution there will be (60 + V)mL alcohol
And the total volume will be (400 + V)mL
Concentration required 32% = 0.32
Concentration = (60 + V)mL/(400 + V)mL = 0.32
60mL + VmL = 0.32(400 + V)mL
60mL + VmL = 128mL + V·*0.32mL
VmL - V·0.32mL = 128mL - 60mL = 68mL
V(1 - 0.32)mL = 68mL
V·0.68mL = 68mL
VmL = 68mL/0.68 = 100mL ► alcohol volume to be added
Answer : 100mL
Verification
New solution
There will be 400mL + 100mL = 500mL total volume
There will be 60mL alcohol + 100mL alcohol = 160mL alcohol
The concentration will be 160mL/500mL = 0.32 = 32%
Answer is the first, $2457
Assume $1000 at 4.9% semi-annually = <span>$1,049.60
Assume $1000 at 4.8% daily = </span><span> $1,049.17
Let's try a bigger number $50'000 </span>4.9% semi-annually<span> $52,480.01
</span> $50,000 4.8% daily = <span> $52,458.37
It's a wash, the question is how long will you be investing, that might make a difference. I calculated 12 Millions over 6 years and bank A would be the better choice. Semi-annual compounded at 4.9%</span>