Answer:
B.
Step-by-step explanation:
Answer:
6 hrs 33 minutes
Step-by-step explanation:
2hr 57min
+3hrs42min
----------------------
5 hrs 99 minutes
But 1 hr = 60 minutes so subtract 60 minutes and add 1 hour
6 hrs 33 minutes
The maximum diameter of the spheres he can purchase is 1. 78 ft. Option C
<h3>How to determine the diameter</h3>
The formula for area of a sphere is expressed as;
Area = 4 πr²
If Selim paid $2 per square foot and have a maximum of $20 per square
The area he can purchase is;
= $20/$2
= 10$
Substitute the value into the formula
10 = 4πr²
10 = 4 × 3. 142 × r²
10 = 12. 568r²
Make 'r²' the subject
r² = 10/ 12. 568
r² = 0. 79
Find the square root of both sides
r = √0. 79
r = 0. 89
But diameter = 2(radius)
Diameter = 2 × 0. 89 = 1. 78 ft
Thus, the maximum diameter of the spheres he can purchase is 1. 78 ft. Option C
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Answer:
D = $8637.45
Step-by-step explanation:
Rate = 3.65% = 0.0365
Principal = 5000
Time (t) = 15 years
N = 12 (since its compounded monthly)
Compound interest (A) = P(1 + r/n)^nt
A = 5000(1 + 0.0365 / 12)^15*12
A = 5000(1 + 0.00304)¹⁸⁰
A = 5000(1.00304)¹⁸⁰
A = 5000 * 1.7269
A = 8634.86
The investment would worth $8634.86
Note: the final answer may vary slightly from the answer in the options due to ± from approximation
The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular to line is -2.
<h3>What is the equation of a straight line ?</h3>
An equation that can be written in the form of y = mx+c
where m is the slope of the line
and c is the intercept on y axis
The equation given in the question is
y=1/2x−7
in this the slope = 1/2
Intercept = -7
For parallel Lines
For a parallel line , the slope of the line is same
and is given by m = 1/2
For a perpendicular line
Slope will be equal to
-1/m
here -1/m = -2
Therefore the slope for perpendicular line is -2.
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