Answer:
x = 6
Step-by-step explanation:
y varies inversely as x
y = k × 1/x. {where k is a constant}
when y = 3, x = 8
Therefore 3 = k/8 and k is 24
y = 24/x
When y = 4,
4 = 24/x
4x = 24
(dividing both sides by 4)
x = 6
Prime factorization is the process of finding the factors of a number and these factors must be of prime numbers.
27000 = 27 × 10000
27000 = 27 × 10⁴
27000 = 3 × 9 × 10⁴ [Here we have 3 as a prime number, but not '9' and '10', so we will keep breaking this down]
27000 = 3 ×3 × 3 × (2 × 5) ⁴ [Here we have all prime numbers]
27000 = 3³ × 2⁴ × 5⁴
Answer:
33%
Step-by-step explanation:
The area of the entire circle:
The radius is 4+3+3 = 10
Area of a circle= pi * r^2
Area of largest circle = pi * 10^2 = 100 pi
Area of blue ring = Area of blue circle - area of inner white circle
The blue circle has a radius of (4+3) = 7
The inner white circle had a radius of 4
Substituting what we know
Area of blue ring = Area of blue circle - area of inner white circle
= pi * r^2 - pi*r^2
= pi * 7^2 - pi *4^2
= 49pi - 16pi
= 33 pi
The percentage of the logo that is blue is the blue ring/ area of largest circle
percentage = 33 pi/100 pi
Canceling pi
percentage = 33/100
= 33 %
Answer:
The amount the car will be worth after 6 years is £21,917 and 22 pence
Step-by-step explanation:
The amount for which Colin buys the car, PV = £28,100
The amount by which the car depreciates each year, r = 4%
The number of years after which the value of the car is sought, n = 6 years
The future value, FV, based on an annual depreciation is given as follows;
Substituting the known values gives;
Therefore, the amount the car will be worth after 6 years, future value FV₆ = £21,917 and 22 pence
Answer:
The product is -28p5-3p4+7p4
Step-by-step explanation:
In this case we will use -7p3 to multiply all the figures in the bracket
Which means -28p5-3p4+7p3
Always remember that -×-=+ , +×+=+ ,-×+=-...
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