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stealth61 [152]

3 years ago

6

Christopher has $1947 in his savings account. This weekend he will deposit another $99 in the account. How much money will be in

Christopher savings account after this weekend

1 answer:

tekilochka [14]3 years ago

5 0

Answer:

$2046

Step-by-step explanation:

Add 1947 and 99 because he is depositing, as in adding, 99 dollars

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In which quadrant does the terminal side of the angle 215° lie?

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1. You got it right.

4π/9 x 180/π = 80°

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The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre

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Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : $a=-2$

Common difference : $d = 5 - (-2)$

$= 5 + 2$

$= 7$

nth term of an A.P. is

$a_n=a+(n-1)d$

where, a is first term and d is common difference.

$a_n=-2+(n-1)(7)$

According to the equation, $a_n>200$ .

$-2+(n-1)(7)>200$

$(n-1)(7)>200+2$

$(n-1)(7)>202$

Divide both sides by 7.

$(n-1)>28.857$

Add 1 on both sides.

$n>29.857$

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

$S_n=\dfrac{n}{2}[2a+(n-1)d]$

Substituting n=30, a=-2 and d=7, we get

$S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]$

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$S_{30}=15(199)$

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Therefore, the sum of all the terms in the progression is 2985.

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