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3 years ago

The some of two consecutive even integers is 170. find the two integers.

1 answer:

8 0

2 consecutive even integers : x and x + 2

x + x + 2 = 170
2x + 2 = 170
2x = 170 - 2
2x = 168
x = 168/2
x = 84

x + 2 = 84 + 2 = 86

so ur 2 numbers are 84 and 86

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How do you solve each absolute value by graphing

saw5 [17]

Your question answers itself. You solve by graphing.

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It can be useful to find the "turning point" of each absolute value expression (where its value is zero) and graph that and some points on either side.

7 0

3 years ago

Wang Yong owes the bank \$8500$8500dollar sign, 8500. To repay the debt, he paid a fixed amount back to the bank each month. Aft

34kurt

Complete question :

Wang Yong owes the bank $8500. To repay the debt, he paid a fixed amount back to the bank each month. After 12 months, his remaining debt was $6460. How much did Wang Yong pay each month?

Answer:

$170

Step-by-step explanation:

Given that:

Amount owed = $8500

Fixed amount replayed per month :

Amount left after 12 months = $6460

Amount paid per month :

Total amount paid over 12 months :

$(8500 - 6460) = $2040

Amount paid per month :

$2040 / 12

= $170

3 0

3 years ago

Read 2 more answers

The product of two consecutive even integers is 360360. find the integers.

professor190 [17]

There are no 2 consecutive integers which give a product 360360

5 0

3 years ago

The value of -48 - x is positive. What are two possible values of x?

borishaifa [10]

Answer:

-49

-50

Step-by-step explanation:

When a negative number subtracts another negative number, the number becomes positive.

For example: -48-(-49)=1

-48-(-49) becomes -48+49=1

8 0

3 years ago

A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i

Over [174]

Answer:

a) $\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

b) $C(5) = 100 e^{-0.16*5}= 44.9329$

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

$\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

$C(5) = 100 e^{-0.16*5}= 44.9329$

7 0

3 years ago