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2 years ago

John saves $108 each month. How much will he save in a year?

Mathematics

2 answers:

LekaFEV [45]2 years ago

4 0

If john saves $108 each month he would end up with $1,296

12 months= 1 year
$108 x 12 months = $1,296

Aleks04 [339]2 years ago

3 0

He will save $1,298
108 x 12= 1,296

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Fifteen less than twice a number is 21.<br> What is the missing number? |

Vikentia [17]

Answer:

2y - 15

Step-by-step explanation:

well 15 LESS than TWICE a number. okay so let’s start off by making a variable for the unknown number.... y. the variable is y. so now we have to think, TWICE that number, but we don’t know the number.

Now that we have the variable and we know it has to be doubled, let’s start off making the first half... we can out that into 2y. which is 2 multiplied by the unknown number.

now that we have the first half done, we have to take the 15 less. Less can mean or subtract in this kind of situation. but for this certain scenario, it will be subtraction. so the equation would be 2y - 15.

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2 years ago

Integrate this two questions

tankabanditka [31]

Simplify the integrands by polynomial division.

$\dfrac{t^2}{1 - 3t} = -\dfrac19 \left(3t + 1 - \dfrac1{1 - 3t}\right)$

$\dfrac t{1 + 4t} = \dfrac14 \left(1 - \dfrac1{1 + 4t}\right)$

Now computing the integrals is trivial.

$\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}$

where we use the power rule,

$\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)$

and a substitution to integrate the last term,

$\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)$

$\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}$

using the same approach as above.

5 0

1 year ago

The expression 2.5a+2b gives the cost (in dollars) for a DVDs and b CDs at a moving sale. a. The cost for 1 DVD is $ and the cos

Mekhanik [1.2K]

Answer/Step-by-step Explanation:

Given:

a = no. of DVDs

b = no. of CDs

Total cost ($) for DVDs and CDs = $2.5a + 2b$

a. The cost for 1 DVD = 2.5(a) = 2.5(1) = $2.5

The cost for 1 CD = 2(b) = 2(1) = $2

b. Total cost for 4 DVDs and 4 CDs:

Substitute a = 4, and b = 4 into the equation.

$2.5(4) + 2(4)$

$10 + 8 = 18$

Total cost for 4 DVDs and 4 CDs = $18

c. To find out if $20 would be enough to buy 6 DVDs and 3 CDs, substitute a = 6, and b = 3 into the equation. Solve for the total cost to see if it equals $20 or is less than $20. If it's greater than $20, then it won't be enough.

$2.5(6) + 2(3)$

$15 + 6 = 21$

6 DVDs and 3 CDs cost more than $20, therefore, $20 is not enough.

5 0

2 years ago

Marking brainliest!

Naddika [18.5K]

Answer:

3/5

Step-by-step explanation:

this is the correct answer because a is represented by the number picked is greater than 7.

3/10 are less than 7

2/5 are less than 7

but 3/5 are more than 7

so the answer is 3/5

brainliest plzz

3 0

2 years ago

Read 2 more answers

To visit his grandmother, Luis takes a train 6.376.376, point, 37 kilometers and a car 5.455.455, point, 45 kilometers.

murzikaleks [220]

Answer:

Luis traveled 11.82 km in total.

Step-by-step explanation:

<em>The statement should say</em>: To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis's journey in total?

Hence, to find the total distance traveled by Luis we must add the distances of the train (6.37 km) and the car (5.45 km):

$d = d_{t} + d_{c} = 6.37 km + 5.45 km = 11.82 km$

Therefore, Luis traveled 11.82 km in total.

I hope it helps you!

8 0

2 years ago