Answer:
C : 20
good luck, hope this helped!
Answer:
£1999.85
Step-by-step explanation:
A = P(1 + rt)
Where:
A = Amount after t years
P = Initial amount invested = £1850
r = Interest rate = 2.7%
t = Time in years = 3 years
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.7%/100 = 0.027 per year.
Solving our equation:
A = £1850(1 + (0.027 × 3))
A = £1999.85
Therefore, Brian will have £1999.85 after 3 years.
Part (a)
<h3>Answer: 0.2</h3>
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Work Shown
It costs $15 to rent a bike for 3 hours. We can write the following ratio below
15 dollars : 3 hours
To represent the connection of the two concepts (dollars connecting with hours)
We want the "15 dollars" to turn into "1 dollar". This is because the phrasing "per dollar" really means "per 1 dollar".
Divide both sides of the ratio by 15 to achieve this goal.
15 dollars : 3 hours
15/15 dollars : 3/15 hours
1 dollar : 1/5 hours
1 dollar : 0.2 hours
0.2 hours : 1 dollar
So we get 0.2 hours per dollar.
As a side note, 0.2 hours = 0.2*60 = 12 minutes.
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Part (b)
<h3>Answer: 3.38</h3>
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Work Shown
27 pages : 8 minutes
27/8 pages : 8/8 minutes
3.375 pages : 1 minute
3.38 pages : 1 minute
I'm dividing both parts of the original ratio by 8 to turn "8 minutes" into "1 minute" (due to the phrasing "per minute"). Don't forget to round to 2 decimal places.
Diagram attached
Answer:
5.5+106 square inches
Step-by-step explanation:
The wooden frame has different shapes- semi circle, rectangles and we would have to calculate area of all the shapes to get the wood required.
To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =
π(6²-5²)/2= 11π/2
=5.5π square inches
We add area of the semi circle to area of the 3 rectangles from the diagram:
2×1×48×10×1=106 square inches
The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area
Total area =5.5π +106 square inches
Options must have ommitted the "π"
