We know that
<span>the Consumer Price Index
(CPI) is equals to
</span>CPI=100*[cost of the pizza today/cost of the pizza <span>in the base year]
[</span>cost of the pizza in the base year]=100*[cost of the pizza today/CPI]
cost of the pizza today=$12
<span>CPI=200
so
</span>[cost of the pizza in the base year]=100*[12/200]-----> $6
<span>
the answer is
</span>The cost of the pizza in the base year is $6<span>
</span>
Did you ever find the answer?
Step-by-step explanation:
(a²-b²)(c²-d²) = a²c² - a²d² - b²c² + b²d²
(b²-d²)(c²-a²) = b²c² - a²b² - c²d² + a²d²
the sum of both is
a²c² + b²d² - a²b² - c²d² = a²(c²-b²) + d²(b²-c²) =
= a²(c²-b²) - d²(c²-b²) = (c²-b²)(a²-d²) = 2021
after a little check we find 2021 is only divisible by 43 and 47 (or 1 and 2021).
so, it is clear that our expression resembles
43×47 = 2021
that means that e.g. c²-b² = 43, and a²-d² = 47
or the other way around, it does not matter.
what squared integer numbers give a difference of 43 ? and 47 ?
squared numbers
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256
289 324 361 400 441 484 529 576
aha ! 484 - 441 = 43
and 576 - 529 = 47
so, we get
a = sqrt(576) = 24
b = sqrt(441) = 21
c = sqrt(484) = 22
d = sqrt(529) = 23
one could also use the formula for consecutive squared numbers
(n+1)² = n² + 2n + 1
under the assumption that the 2 numbers are convective (which it turns out they are in this example) we get
(n+1)² - n² = 2n + 1 = 43
2n = 42
n = 21
n+1 = 22
and for 47
2n + 1 = 47
2n = 46
n = 23
n+1 = 24
Answer:
22.2m
Step-by-step explanation:
vol of a sphere = 4/3 x pi x r^3
vol of a hemisphere is 1/2 the vol of a sphere, so vol of a hemisphere= 2/3 x pi x r^3
2/3pi x r^3 = 257
Divide both sides by 2/3pi
r^3 = 122.708
Cube root both sides.
r = 11.077
Diameter is twice the radius, so diameter = 22.154m
To the nearest 10th of a meter this is 22.2m.
Hope I helped x
The surface area of cylinder is 8.625
, if the cylinder has 5 centimeters high and 1.5 cm of diameter.
Step-by-step explanation:
The given is,
Cylinder has a 5 centimeters height
Diameter of the cylinder is 1.5 centimeters
Step:1
Formula for the surface area of cylinder is,
......................................(1)
Where,
h - Height of cylinder
r - Radius of cylinder
From the values of h and r,
= 
r = 0.75 cm
From the formula,
= ( 2 × × 0.75 × 5 ) + ( 2 × × 
)
= ( 7.5 ) + ( 1.125 )
A = 8.625
Result:
The surface area of cylinder is 8.625 , if the cylinder has 5 centimeters high and 1.5 cm of diameter.
