Write each number below in scientific notation! Please Help Me With My Math HW!

Mathematics

1 answer:

____ [38]3 years ago

6 0

1.) 1.6x10^7

2.) 3.93x10^-5

3.) 6x10

4.) 4x10^3

5.) 8.9x10^4

6.) 3.8x10^-3

7.) 1.25x10^-5

8.) 9.6x10^6

9.) 2x10^-4

10.) 5.8x10^10

11.) 7.5x10^5

12.) 5.8x10^3

13.) 2.678x10^5

14.) 7.12x10^-2

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Suppose that C 5 a 1 bY, where C 5 consumption, a 5 consumption at zero income, b 5 slope, and Y 5 income. LO1.8 a. Are C and Y

polet [3.4K]

Answer:

Consumption & Income are directly related, consumption function is upward sloping.

Part 1) c = 110 ; Part 2) y = 360

Step-by-step explanation:

Consumption Function shows the relationship between income & consumption level.

c = a + by ; where c = consumption , y = income , a = autonomous consumption at 0 income, b = change in consumption with change in income (marginal propensity to consume MPC)

Consumption 'c' is positively (directly) related to income 'y', as denoted by positive MPC 'b' . Higher income implies higher consumption, lower income implies lower consumption.

As 'c' & 'y' are positively correlated, the graph is upward sloping.

c = a + by

If a = 10 , b = 0.5 , y = 200 :- c = 10 + 0.5 (200) = 10 + 100

c = 110

If c = 100 , a = 10 , b = 0.25 :- 100 = 10 + 0.25 (y) → 90 = 0.25y

y = 90 x 0.25 , y = 360

7 0

3 years ago

Two cubes have surface areas of 72 square feet and 98 square feet. what is the ratio of the volume of the small cube to the volu

Serjik [45]

Let's denote the sides of the small and bigger cubes a and b respectively. Then, we can write that 6 $a^{2}$ =72, a= $2\sqrt{3}$ and 6 $b^{2}=98, b=[tex] \frac{7}{sqrt{3}}$ . The volume of the smaller cube is $2 sqrt{3} ^{3}$ = $24 sqrt{3}$ . The volume of the bigger cube is $\frac{7}{sqrt{3}}^{3}$ = $\frac{343}{3sqrt{3}}{$ . We have to find $\frac{24 sqrt{3}}{frac{343}{3sqrt{3}}$ = 216/343