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Valentin [98]
1 year ago
12

The sum of the series below is 10,900. how many numbers, n, are in the series? 19 20.5 22 23.5 ... 181

Mathematics
1 answer:
JulsSmile [24]1 year ago
3 0

There are 109 terms in given series.

According to the statement

we have given that the sum of series is AP series and

This is 19 20.5 22 23.5 ... 181

And the sum of series is 10,900

Now, we have to find the number of terms in the series.

Then we use the summation formula which is

S = n/2 (a + L)

Substitute the all given values in it like

L = 181

A = 19 and S= 10,900

then

10,900= n/2(19+181)

10,900= n/2(200)

After solve the equation for n

10,900= 100n

n = 10,900 / 100

n = 109

There are 109 terms in given series.

So, There are 109 terms in given series.

Learn more about SERIES here brainly.com/question/6561461

#SPJ1

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What is this one i cant seem to figure it out
pshichka [43]

Answer:

73

Step-by-step explanation:

Since DA is the diameter, this means that you can divide the circle into two half-circles.  You will solve with the right half-circle.  A half-circle has a 180 total degrees.  Add up the values given and solve for x.

(2x) + (7x - 4) + (85) = 180

2x + 7x - 4 + 85 = 180

9x - 4 + 85 = 180

9x + 81 = 180

9x = 99

x = 11

Now that you have the value of x, solve for m∠CZB.

m∠CZB = 7x - 4

m∠CZB = 7(11) - 4

m∠CZB = 77 - 4

m∠CZB = 73

6 0
3 years ago
Use the distributive property to factor the expression. 12xy + 28xz
soldier1979 [14.2K]

Answer:

The factored equation would be 4x(3y + 7z)

Step-by-step explanation:

In order to find this, look for the greatest common factor and pull it out. Since both have factors of 4 and both have an x, we pull those out. We then divide each term by 4x to get what is left over.

6 0
2 years ago
Read 2 more answers
Pls Pls help!! It's due soon!!
mixas84 [53]

Answer:

-2,4

Step-by-step explanation:

to do a reflection across the y axis, apply -x,y to your coordinates

8 0
2 years ago
What is the circumference of a circle with a radius of 34 meters?
Vlad [161]

Answer:

2 x 3.14 x 3 1/2

(make each a fraction)

2/1 x 314/100 x 3 1/2 = 21 49/50 around 22, C is your answer.

5 0
2 years ago
How+long+will+it+take+for+$2900+to+grow+to+$25,600+at+an+interest+rate+of+10.4%+if+the+interest+is+compounded+quarterly?+round+t
vovikov84 [41]

The number of years to the nearest hundredth is t = 21 years and 3 months.

<h3>What is compound interest?</h3>

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

\rm A = P(1+\dfrac{r}{n})^{nt}

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

A = $25,600

P = $29,00

r = 10.4 = 0.104

n = 4

\rm 25600 = 2900(1+\dfrac{0.104}{4})^{4t}

After solving:

t = 21.212 years

Or

t = 21 years and 3 months

Thus, the number of years to the nearest hundredth is t = 21 years and 3 months.

Learn more about the compound interest here:

brainly.com/question/26457073

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4 0
1 year ago
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