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3 years ago

Write the following decimal in standard form 1,000 + 6 + 0.1 + 0.003

Mathematics

2 answers:

DerKrebs [107]3 years ago

5 0

1006.103. It is just breaking apart the final answer into smaller numbers

Dovator [93]3 years ago

3 0

Q: 1,000 + 6 + 0.1 + 0.003
A: 1,006.103

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If the diameter of a sphere is 1 meter, then what is its surface area? Leave your answer in terms of π= 3.14

umka21 [38]

surface area = 4 x pi x r^2

diameter = 1 so radius = 1/2 = 0.5

4 x 3.14 x 0.5^2 = 3.14 meters^2

3 0

3 years ago

Read 2 more answers

Using pemdas please

Bond [772]

$4^{3}+2(8)=80$

Solution:

Given expression:

$4^{3}+2(8)$

Expansion of PEDMAS:

Parenthesis, Exponents, Division, Multiplication, Addition, Subtraction.

To solve the given expression using pedmas rule.

First solve the expression with parenthesis.

$4^{3}+2(8)=4^{3}+16$

Next do the exponents.

$4^{3}+2(8)=64+16$

Finally do the addition.

$4^{3}+2(8)=80$

Hence the answer is 80.

6 0

3 years ago

Read 2 more answers

Anyone know this if u do pls help and have a nice day

muminat

Because for input=-2 there are more than one outputs. It means the this is not a function and it’s impossible to find a rule.

8 0

3 years ago

An office building loses a third of its heat between sundown and midnight and an additional half of the original amount of heat

Mekhanik [1.2K]

Answer:

$\dfrac{1}{16}$

Step-by-step explanation:

Proportion of Heat Loss Between sundown and midnight $=\dfrac{1}{3}$

Proportion of Heat Loss between midnight and 4 AM $=\dfrac{1}{2}$

Proportion of Total Heat Already Lost $=\dfrac{1}{3}+\dfrac{1}{2} =\dfrac{5}{6}$

Proportion of Remaining Heat $=1-\dfrac{5}{6}=\dfrac{1}{6}$

Between 4 AM and 5 AM, five-eighths of the remaining heat is lost.

Proportion of Heat Loss between 4 AM and 5 AM= $\dfrac{5}{8}$ X \dfrac{1}{6} = \dfrac{5}{48}$

Therefore, Proportion of Remaining Heat Left $=\dfrac{1}{6}- \dfrac{5}{48}=\dfrac{1}{16}$

We therefore say that:

$\dfrac{1}{16}$ of the total heat loss occurs between 5 AM and sunrise.$

6 0

3 years ago

Letang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System A costs $280,00

Vanyuwa [196]

We have to calculate the EAC for both the conveyor belt system.

Solutions :

Equivalent Annual Cost or (EAC) for the SYSTEM-A

$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times$ tax rate )

$=-855,000(1-0.23)+\left[\left(\frac{280,000}{4}\right)\times 0.23\right]$

$= (-85,000 \times 0.77 ) + (70,000 \times 0.23)$

= $ 49,350

Year Annual Cost flow Present value factor Present Value of Annual

at 10% cash flow

1 -49,350 0.909091 -44,863.64

2 -49,350 0.826446 -40,785.12

3 -49,350 0.751315 -37,077.39

4 -49,350 0.683013 -33,706.71

Total $ 3.169865 $ -156,432.86

Therefore, Net Present value = present value of the annual cash flow - initial investment.

= 156,432.86 - 280,000

= $ 436,432.86 (negative)

Now the EAC or the Equivalent Annual Cost for System A :

$\text{EAC}= \text{Net present value / (PVIFA 10 percent, 4 years)}$

$=\frac{436,432.86}{3.169865}$

$= 137,681.86$ dollar (negative)

$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times$ tax rate)

$=79,000(1-0.23)+\left[\left(\frac{360,000}{6}\right) \times 0.23\right]$

$=(-78,000 \times 0.77)+(60,000 \times 0.23)$

= -$ 47,030

Year Annual Cost flow Present value factor Present Value of Annual

at 10% cash flow

1 -47,030 0.909091 -42,754.55

2 -47,030 0.826446 -38,867.77

3 -47,030 0.751315 -35,334.34

4 -47,030 0.683013 -32,122.12

5 -47,030 0.620921 -29,201.93

6 -47,030 0.564474 -26,547.21

Total $ 4.355261 $ -204,827.91

Net Present Value = Present Value of annual cash inflows – Initial Investment

$= 204,827.91 - 360,000$

= -$ 564,827.91 (negative)

EAC for system B:

Equivalent Annual Cost for system B $=\frac{\text{net present value}}{\text{PVIFA 10 \text percent, 6 years}}$

$=\frac{-564,827.91}{4.355261}$

= -$129,688.66 (negative)

7 0

3 years ago