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DaniilM [7]
3 years ago
13

Every month, the bank withdraws $15 from Betsy’s checking account as a service fee. Betsy has budgeted $75 for the next few serv

ice fees. For how many months will the service fee be covered? Write and solve an inequality to find the solution. Show your work.
Mathematics
1 answer:
marin [14]3 years ago
4 0
You need to divide the $75 by the $15 that they withdraw each month to find out how many months the $75 will pay off. The service fee will be covered for 5 months.
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The area of David's living room is 18.087 square yards, and their bedroom has an area of 15.78 square yards.Round to the nearest
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A. 33.867 and rounded is 33.9
7 0
2 years ago
For the function given below, find a formula for the Riemann sum obtained by dividing the interval (0, 3) into n equal subinterv
Viktor [21]

Splitting up [0, 3] into n equally-spaced subintervals of length \Delta x=\frac{3-0}n = \frac3n gives the partition

\left[0, \dfrac3n\right] \cup \left[\dfrac3n, \dfrac6n\right] \cup \left[\dfrac6n, \dfrac9n\right] \cup \cdots \cup \left[\dfrac{3(n-1)}n, 3\right]

where the right endpoint of the i-th subinterval is given by the sequence

r_i = \dfrac{3i}n

for i\in\{1,2,3,\ldots,n\}.

Then the definite integral is given by the infinite Riemann sum

\displaystyle \int_0^3 2x^2 \, dx = \lim_{n\to\infty} \sum_{i=1}^n 2{r_i}^2 \Delta x \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac6n \sum_{i=1}^n \left(\frac{3i}n\right)^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3} \sum_{i=1}^n i^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3}\cdot\frac{n(n+1)(2n+1)}6 = \boxed{18}

8 0
1 year ago
(-9,-13) , [7 1/2, 3 1/2], (5,1), (4,0), (0,__) <br> what is the next number?
jok3333 [9.3K]

Answer:

56

Step-by-step explanation:

5 0
3 years ago
What is the height of an object thrown when time is 6 seconds? Also explain how u got your answer
nevsk [136]

Answer:

946.4\ m

Step-by-step explanation:

Let

h(t) ---> the height of an object in meters

t ----> the time in seconds

we have

h(t)=-2.6t^2+40t+800

For t=6 sec

substitute in the quadratic equation  the value of t and solve for h

h(6)=-2.6(6)^2+40(6)+800

h(6)=946.4\ m

4 0
2 years ago
Please can someone help me with my maths? I’m so confused
Blababa [14]
The y intercept is 0.5 because thats where the line starts.
the slope/gradient of the line is 1.5.
this would be written in the form: y=1.5x+0.5
5 0
3 years ago
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