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klio [65]
3 years ago
5

What is the 308th term of the sequence 11,12.5,14,15.5,17...

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

\huge\boxed{471.5}

The formula for an arithmetic sequence is as follows:

a_n=a_1+(n-1)d

In this formula, a_n represents the nth term of the sequence and d represents the common difference between each term.

Plug in the known values.

a_{308}=11+(308-1)1.5

Subtract.

a_{308}=11+307*1.5

Multiply.

a_{308}=11+460.5

Add.

a_{308}=\boxed{471.5}

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Property taxes are based on an assessed value of $132,000 and the tax rate is 8.5 mills. The property closes on Jun 14. On a bas
defon

Answer:

$132,000 X .0085 = $1,122 / 360 = $3.1166 X 164 = $511.13

One mill is one dollar per $1,000 dollars of assessed value.

In our case 8.5 mills equivalent to 0.0085.

So to get the assessed value for one day

we will get

$132,000 X .0085 = $1,122 / 360 = $3.1166

Now we have the value for one day,

For June 14, we will calculate the days from January 1st to date

total days are 164.  i.e. 5*30+14 = 164

Finally, the seller owes

$3.1166 * 164 = 511.13

6 0
3 years ago
Consider the differential equationy′′+3y′−10y=0.(a) Find the general solution to this differential equation.(b) Now solve the in
RSB [31]

Answer:

Y= 2e^(5t)

Step-by-step explanation:

Taking Laplace of the given differential equation:

s^2+3s-10=0

s^2+5s-2s-10=0

s(s+5)-2(s+5) =0

(s-2) (s+5) =0

s=2, s=-5

Hence, the general solution will be:

Y=Ae^(-2t)+ Be^(5t)………………………………(D)

Put t = 0 in equation (D)

Y (0) =A+B

2 =A+B……………………………………… (i)

Now take derivative of (D) with respect to "t", we get:

Y=-2Ae^(-2t)+5Be^(5t)   ....................... (E)

Put t = 0 in equation (E) we get:

Y’ (0) = -2A+5B

10  = -2A+5B ……………………………………(ii)

2(i) + (ii) =>

2A+2B=4 .....................(iii)

-2A+5B=10 .................(iv)

Solving (iii) and (iv)

7B=14

B=2

Now put B=2 in (i)

A=2-2

A=0

By putting the values of A and B in equation (D)

Y= 2e^(5t)

6 0
4 years ago
X + 5y = 8<br> -x + 2y = -1<br> How is this solved?
Oksi-84 [34.3K]
Add both the equations together to eliminate x

x+5y=8
-x+2y=-1

7y=7
y=1

Now fill in y into the original equation

x+5(1)=8
x+5=8
x=3

Now you can check by filling x and y into the second equation.

-(3)+2(1)=-1
-3+2=-1
-1=-1

So your answer will be (3, 1)

Brainliest my answer if it helps you out?
8 0
3 years ago
Drinking 6 fluid ounces of milk provides 202.5 milligrams of calcium. How many fluid ounces of milk are required to provide 52.5
zepelin [54]
1.) 202.5 ÷ 6 = 33.75 ml of calcium/one fl oz of milk

2.) 33.75 ml (1.556 fl oz or about 1.6 fl oz) is about 52 ml or 52.515 ml of milk

3.) D. 1.6 fluid ounces
4 0
4 years ago
Read 2 more answers
The nth term of a sequence is n^2+20 A) work out the first three terms of the sequence B) how many terms in the sequence are les
a_sh-v [17]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ a) (1)^2 + 20 = 21

(2)^2 + 20 = 24

(3)^2 + 20 = 29

b) (5)^2 + 20 = 45

(6)^2 + 20 = 56

There are 5 terms less than 50

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0
3 years ago
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