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2 years ago

Subtract. (4/5p+1/2)-(1/4p-3) A: 21/20p-5/2 B: 1/5p-7/2 C: 11/20p+7/2

Mathematics

1 answer:

Leto [7]2 years ago

8 0

Answer:

Step-by-step explanation:

I think it's A because it mostly multiplies then adds and subtracts so you get your answer doing this

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Approximately how many times greater is 4×107 than 8×103 ?

guajiro [1.7K]

The answer is C. 5000

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2 years ago

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Find the perimeter of the figure to the nearest hundredth.

babunello [35]

Answer:

50.28 inches

Step-by-step explanation:

From the Image, we can find the length of the arc of the semi-circle by dividing the circumference of the resulting circle by 2

Radius= 9in

C= 2πr

C=2*3.142*9

C= 56.556 inches

Hence the length of the arc is

=56.556/2

=28.278 inches

The perimeter of the shape

=28.278+5+12+5

=50.28 inches

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2 years ago

Carl is on the school track team. to prepare for an upcoming race, he plans to run 207 miles total over the next 31 days.

patriot [66]

Theres no answer to this promblem do you wanna add more

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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

Solve: p+ 7- 5= -10 - 3 please use an explanation so I know how to do this next time pleaasee

skelet666 [1.2K]

Answer:

P = - 15

Step-by-step explanation:

P+7-5 = -10 - 3

P +2 = - 13

(If taking from one side,you must do to the other to get P alone.)

P+2 = - 13

-2 = - 2

The positive 2, minus the negative 2 cancels each other out, now we must subtract 2 from our other side. - 13 - 2 = - 15

P = -15

7 0

3 years ago