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3 years ago

Solve the system of equations given below.

Mathematics

2 answers:

lbvjy [14]3 years ago

7 0

Answer:

Step-by-step explanation:

-5x = y - 5 (1)

-2y = -x - 21 (2)

Change x to the left hand side of equation (2)

x = 2y - 21 (3)

Multiply (1) by 2 times:

-10x = 2y - 10 (4)

Use (4) - (3)

-10x = 2y - 10

- x = 2y - 21

-11x = -10 + 21

-11 x = 11

x = -1

Apply x = -1 in (1)

-5*(-1) = y - 5

5 = y-5

y = 5+5

y = 10

So x = -1

y = 10

Hope this help you :3

Free_Kalibri [48]3 years ago

6 0

Hehe the answer is B (-1,10)

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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

From midnight to 2:00 am, the temperature rose 1.15°C each hour. If the temperature at 2:00 am was -2.7°C, what was the temperat

malfutka [58]

Answer: -5 degrees Celsius

Step-by-step explanation:

Temp at 2:00am = -2.7

2:00am is two hours after midnight

During that time the temperature has risen by 1.15 degrees every hour so has risen in total by:

1.15x2 = 2.3 degrees

-2.7-2.3=-5

It was -5 degrees at midnight

3 0

3 years ago

Suppose that the probability that a customer plans to make a purchase is 0.32. Suppose that the probability of responding to an

Elanso [62]

Answer:

0.6495

Step-by-step explanation:

This is question based on conditional probability

The probability that a customer plans to make a purchase = 0.32.

The probability that a customer plans not to make a purchase = 1 - 0.32

= 0.68

The probability of responding to an advertisement given that the customer plans to make a purchase = 0.63

The probability of responding to an advertisement given that a person does not plan to make a purchase = 0.16.

Given that a person responds to the advertisement, what is the probability that they plan to make a purchase is calculated as:

0.32 × 0.63/(0.32 × 0.63) + (0.16 × 0.68)

= 0.2016/ 0.2016 + 0.1088

= 0.2016/0.3104

= 0.6494845361

Approximately = 0.6495

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3 years ago

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irina1246 [14]

Answer:

your answer is 1088

Step-by-step explanation:

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Aleksandr [31]

Answer: because distance is always positive

Step-by-step explanation:

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3 years ago