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3 years ago

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decide if the following change is an increase or decrease. then determine the percent of change. 48 inches to 30 inches

1 answer:

Wewaii [24]3 years ago

3 0

48 inches to 30 inches is a decrease.
percent decrease = change/original value x 100%
= (48 - 30)/48 x 100%
= 18/48 x 100%
= 37.5% decrease

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PLEASE HELP ILL MARK BRAINLIEST !!!

Alexus [3.1K]

Answer:

a) the common difference is 20

b) $x_8=115 , x_{12}=195$

c) the common difference is -13

d) $a_{12}=52, a_{15}=13$

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: $x_n=x_1+(n-1)d$

We know common difference d= 20, we need to find $x_1$

Using $x_3=16$ we can find $x_1$

$x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25$

So, We have $x_1 = -25$

Now finding $x_8$

$x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115$

So, $\mathbf{x_8=115}$

Now finding $x_{12}$

$x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195$

So, $\mathbf{x_{12}=195}$

c) what is the common difference of the sequence $a_m$

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: $a_n=a_1+(n-1)d$

We know common difference d= -13, we need to find $a_1$

Using $a_7=104$ we can find $x_1$

$a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195$

So, We have $a_1 = 195$

Now finding $a_{12}$ , put n=12

$a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52$

So, $\mathbf{a_{12}=52}$

Now finding $a_{15}$ , put n=15

$a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13$

So, $\mathbf{a_{15}=13}$

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3 years ago

If u make 120.45 in 15 2/3 hours how long did u work if u made 40.15 ?

Novosadov [1.4K]

Answer:

about 5.22hrs

Step-by-step explanation:

cross multiply

<u>120.45</u> <u>?</u>

15.67 40.15

120.45*40.15

=629.1505

629.1505/15.67

=5.2233333...

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2 years ago

Why did the rug roll up around his girl friend

andre [41]

This is for real questions

8 0

3 years ago

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If $3,000,000 is invested at 6% interest compounded continuously, how much

g100num [7]

Answer:

$24,498,509.74

Step-by-step explanation:

The formula for the value as a function of time is ...

V(t) = P·e^(rt)

Filling in the numbers and doing the arithmetic, we have ...

V(35) = 3,000,000·e^(0.06·35) ≈ 24,498,509.74

Compounded continuously for 35 years, the investment will be worth $24,498,509.74.

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3 years ago

ali buys 120 cans of drink for a total of £30. He wants to make a profit of 40%. What price should he charge each can for him to

Dafna11 [192]

30*(100%+40%)
30*140%
140% as a decimal is (140/100) which is 1.4
30*1.4=42
42/120=0.32.

Ali should sell each can for $0.32

Hope this helps :)

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2 years ago

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