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3 years ago

A number t is less than-1 or greater than or equal to 4.

Mathematics

1 answer:

Tpy6a [65]3 years ago

7 0

Answer:

are we talking about absolute value or something cause no matter what that cant be true unless the absolute value is equal to 4 such as -4

Step-by-step explanation:

You might be interested in

8.45 as a mixed number

Vlad [161]

A mixed number is a combination of a whole number and a fraction, so in this case we have 8 as the whole part and 0.45 as the fraction, 0.45 is equal to 45/100, and that fraction can be simplified as well, lets see:
8.45 = 8 45/100
= 8 9/20

4 0

3 years ago

The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

a) The preset value equation is given by this formula:

$P=\int^{T}_{0}f(t)e^{-rt}dt$

where:

T is the period in years (T = 10 years)
r is the annual interest rate (r=0.08)

So we have:

$P=\int^{T}_{0}(0.01t+100)e^{-rt}dt$

Now we just need to solve this integral.

$P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt$

$P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}$

$P=0.30+688.34=688.64 $$

The present value is 688.64 $

b) The accumulated amount of money flow formula is:

$A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt$

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

$A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P$

$A=e^{0.08\cdot 10}688.64=1532.60 $$

The accumulated amount is 1532.60 $

Have a nice day!

6 0

3 years ago

Lee Jenkins worked the following hours as a manager for a local Pizza Hut: 67, 9,6 and 8 How many total hours did Lee

PSYCHO15rus [73]

Answer:

90 hours

Step-by-step explanation:

67 + 6 + 9 + 8 = 90 hours

8 0

3 years ago

Every 8 hours, a company is able to manufacture 14 tents. Suppose that the total number of tents, y, is graphed agains the total

dolphi86 [110]

Evey 8 hours is the answer hope this helps

5 0

3 years ago

Can someone please clearly explain how to correctly work out Q6? Much appreciated

steposvetlana [31]

s =1/2(u+v)t

u = 16, v=16, t=90

s = 1/2(16+16)90

s = 1/2(36)90

s = 16*90

s = 1440

4 0

3 years ago