Answer:
the 19th term of the arithmetic sequence is 73.
Step-by-step explanation:
Given:
The arithmetic sequence whose common difference is
And first term is

Find the 19th term of the arithmetic sequence

Now we know that,

Put all the value in above AP.




So,
term of the sequence is 73.
Answer:
91.61
Step-by-step explanation:
thats what i got
5s =2km
1s=0.4km. 0.4km/s
1hr=1440km. 1440km/hr
![\dfrac{\mathrm d}{\mathrm dt}\left[2x^2+y^3\right]=\dfrac{\mathrm d}{\mathrm dt}[10]\implies 4x\dfrac{\mathrm dx}{\mathrm dt}+3y^2\dfrac{\mathrm dy}{\mathrm dt}=0](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5B2x%5E2%2By%5E3%5Cright%5D%3D%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5B10%5D%5Cimplies%204x%5Cdfrac%7B%5Cmathrm%20dx%7D%7B%5Cmathrm%20dt%7D%2B3y%5E2%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dt%7D%3D0)
When

, the original equation tells you that you have

You also know that when

, you have

. Substituting everything you know into the differentiated equation, you get

So

is changing at a rate of

.
The initial amount in the account was $200 (y intercept). She adds $32.50 each day to her bank account (slope).