Answer:
Step-by-step explanation:
a) The maximum weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h, and inversely proportional to its length L. If k represent the constant of proportionality, the expression would be
M = kwh²/L
b) if w = 4 inches, h = 6 inches, length = 12 ft
1 foot = 12 inches
12 ft = 12 × 12 = 144 inches. Therefore
L = 144 inches
M = 4800lb
Substituting these values into
M = kwh²/L, it becomes
4800 = (k × 4 × 6²)/144
4800 = k
The equation becomes
M = 4800wh²/L
c) if L = 10ft(10 × 12 = 120 inches),
h = 10 inches
w = 3 inches, then
M = 4800 × 3 × 10²/120
M = 12000 lbs
Answer:
answer below
Step-by-step explanation:
C. i) y = 23,000(1 - 0.15)^t
ii) y = 23,000(1 - 0.15)^t
y = 23,000 x 0.85^4
y = 23,000 x 0.52200625
y = $12,006.14
y = $12,006. when rounded to the nearest dollar
This is what I got
Answer:
Slope Intercept is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Step-by-step explanation:
Answer:
6 L
Step-by-step explanation:
Given two solutions:
1st solution is 90% saline solution. Let the volume of this solution be 
litres.
2nd solution is 50% saline solution. Volume of this solution = 4 L
Resultant solution is 74% saline.
To find:
The volume of 1st solution = ?
Solution:
Total volume of the 74% saline mixture = (4+) Litres
We can write equation here, as per the percentage of saline in the mixtures.
90% of L + 50% of 4 L = 74% of (+4)
Therefore, the volume must be <em>6 L</em>.
Answer:
<em>She invested 1600 at 8% (to get the shown $160 interest)</em>
<em>and $7400 at 10% (to get the shown 640 interest)</em>
<em>If x = 4000 then $80 interest is x2 again = $160</em>
<em>and so forth $320 interest x 2 again = $640</em>
Step-by-step explanation:
<em>The format would always be for x and then where </em>
<em>investment - x = interest we can work out totals this way and find x.</em>
<em>9000-x = 800 is first equation and substituted into 2nd equation;</em>
<em>0.10x+0.08(9000−x)=800</em>
<em>Use the distributive property to multiply 0.08 by 9000−x.</em>
<em>0.10x+720−0.08x=800</em>
<em>Combine 0.10x and -0.08x to get 0.02x.</em>
<em>0.02x + 720 = 800</em>
<em>Subtract 720 from both sides.</em>
<em>0.02x=800−720</em>
<em>Subtract 720 from 800 to get 80.</em>
<em>0.02x=80</em>
<em>Divide both sides by 0.02.</em>
<em>x= 80 / 0.02</em>
<em>Make decimals numbers = 1 or above.</em>
<em>80 / 0.02 x 100</em>
<em>x= 8000 / 2</em>
<em>x = 4000</em>
