The new PS5 costs $500. The only place left to buy it
is at the Best Buy in Washington state. Washington
charges a 6.5% sales tax. How much would you need to
pay for the PS5 in total?

Answer:

50th term

Step-by-step explanation:

Second term, a + d = 3

Tenth term, a + 9d = -13

a + d = 3 (1)

a + 9d = -13 (2)

Subtract (1) from (2) to eliminate a

9d - d = -13 - 3

8d = -16

d = -16/8

d = -2

Substitute d = -2 into (1)

a + d = 3 (1)

a + (-2) = 3

a - 2 = 3

a = 3 + 2

a = 5

Find the term of the sequence that has value -93.

nth term = a + (n -1)d

-93 = 5 + (n - 1) -2

-93 = 5 + (-2n + 2)

-93 = 5 - 2n + 2

-93 = -2n + 7

-93 - 7 = -2n

-100 = -2n

n = -100/-2

n = 50

50th term = -93

Answer:

Step-by-step explanation:

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = 3

x₁ = -1

y₁ = -2

Therefore the equation:

                                      y - (-2) = 3(x - (-1))

Answer:

D

Step-by-step explanation:

Corresponding angles are the same angles for both sides.

Example: if a= 12, then b also = 12.

Im positive it's alternate interior because they are both inside on alternative sides

Answer:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Hope that helps!

Answer:

The third answer is correct

when you plug 1 into the equation

4(1)-9= -5

4(2)-9 = -1

4(3)-9= 3

Step-by-step explanation:

The sigma notation of the given series is [tex]\sum _{j=1}^5\:\left(4j-9\right)[/tex], option C is correct.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given series is -5+(-1)+3+7+11

The sigma notation of the given series is [tex]\sum _{j=1}^5\:\left(4j-9\right)[/tex]

Now let us check by plugging j values from 1 to 5

When j =1,

4(1)-9= -5

When j =2

4(2)-9 = -1

when j=3

4(3)-9= 3

Hence, the sigma notation of the given series is [tex]\sum _{j=1}^5\:\left(4j-9\right)[/tex], option C is correct.

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Step-by-step explanation:

yphñotdtowtkstlstoyosotstlstlstosupfhñznx$*□◇○}₩○¥■○♧■▪︎■♧○¥□•¥{•£{•£{{£•{¥{¥•£□•□£●£•●£$>£|•

Answer:

area of rhombus=1/2d1d2

Step-by-step explanation:

60=1/2×10×d2

60×2=10×d2

120/10=D2

12=D2

therefore othr diagnol is 12

hope it helps!

Answer:

£469

Step-by-step explanation:

Given the following

Original cost of car = £700.

Depreciation rate = 5.5%

Depreciation amount after 1 year = 5.5% * 700

Depreciation amount after 1 year = 0.055 * 700

Depreciation amount after 6 year =6 * 38.5 =  £231

Worth after 6 years =  £700 -  £231

Worth after 6 years = £469

The correct answer is:

£498.53

Answer:

9.5_<w<9.25

Step-by-step explanation:

From the options equation A and D are correct answers.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given triangle JKL, JK=25, JL=7 and LK=24.

We know that, sin θ= Perpendicular/Hypotenuse

tan θ= Perpendicular/Base

A) Now, sin J=LK/JK

sin J= 24/25

B) tan J=LK/JL

tan J=24/7

C) sin K=JL/JK

sin K=7/25

D) tan K=JL/LK

tan K=7/24

Therefore, from the options equation A and D are correct answers.

Learn more about the trigonometric ratios here:

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Answer:

4 hours and 45 minutes

Step-by-step explanation:

The only thing you have to do is subtract 8 by 3:15 which is 4:45. 4:45 means that it its 4 hours and 45 minutes.

Hope this helps

Answer:

answer is D

Step-by-step explanation:

window seat and the front are 8/12 which simplifies to 2/3. hope it helps

Answer:

2/9 is the probability that the passenger wants a window seat in the front of the plane

explainatio:

8 people want that particular seat and there are 36 passengers on the plane so 8/36= 2/9

Answer:

b)30 boys c)1425 beats

Step-by-step explanation:

Answer:

Step-by-step explanation:

b and g are the number of boys and girls, respectively.

b:g = 3:4

b = 3x, g = 4x

3x+4x = 70

x = 10

There are 30 boys.

:::::

(380 beats)/(4 minutes) = (380/4 beats)/minute = (95 beats)/minute

15 minutes × (95 beats)/minute = 1425 beats

Answer: 48 dollars

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Answer:

3 games to be equivilent

Step-by-step explanation:

to be the same, on the 20 dollar lane you can play 5 3 dollar games for the same price to play on the 35 dollar lane with 10 games.

Hope this helps

Answer:

4:9 or 4/9 depending on how your teacher or computer program wants it entered.  Some use the colon (:) some use the slash (/).

Step-by-step explanation:

1.  Betta fish = 12

2. Total fish = 27  (15 neon + 12 betta)

3.  12:27   or  can be writte as 12/27 depending on your teacher or computer program.  

4.  Can be simplified by dividing by 3

12/3 and 27/3

5.  4:9 or 4/9  

Answer:

Please mark as Brainliest if this helps :)

Step-by-step explanation:

Answer:

i think this is right $4.80

Step-by-step explanation:

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = [tex]P(1+rt)[/tex]

, where

P= principal value , r= rate of interest , t = time.

Given: P=  $2000, t= 5 years, r= 1.25% = 0.0125

[tex]A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125[/tex]

Formula to compute compound amount : [tex]P(1+r)^t[/tex]

[tex]=2000(1+r)^5[/tex]

When both have same worth then

[tex]2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625[/tex]

taking log on both sides , we get

[tex]5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%[/tex]

Hence, Value of r= 1.22

Jenny is 8 years old and Sammie 17 is years old.

Current age of Jennie and Sammie

Let the current age of Jennie be x.

Let the current age of Sammie be y.

Then from given data we have:

[tex]x = y-9\\4(x-5) = (y-5)[/tex]

We'll substitute value of x from equation 1 in equation 2:

[tex]4(y-9-5) = (y-5)\\3y = 51\\y=17[/tex]

Thus, from equation 1 and y = 17, we have:

[tex]x=y-9\\x=17-9\\x=8[/tex]

Thus, Jenny is 8 years old and Sammie 17 is years old.

Learn more about age difference related posts here:

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Answer:

Jenny is 8 years old and Sammie 17 is years old.

Notes:

Please make me the brainliest! I worked hard on this.

Answer:

The answer is 1

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

x = 9 in (9, 8)

The inequality is x is less than or equal to 9

x = 9 so the point satisfies the inequality.

Yes

Answer:

52:91

Step-by-step explanation:

To find a ratio value you need to think of it more as two numerators that together equal one whole. 4+7 is 11 so that would be the denominator. If the sum is 143, then we divide by 11 since one number is 4/11s of 143, and the other is 7/11s of 143. 143/11=13

now we multiply both:

4(13)=52

7(13)=91

Check:

91+52=143

52/91 simplifies to 4/7 or 4:7

i hope this helps!

Answer:

No you use the formula for perimeter (the perimeter should be 378)

Step-by-step explanation:

P = 2l + 2w, l is the length of the rectangle and w is the width of the rectangle

The l or length is (E-I) 119

The w or width is (N-T) 70 in total

Answer:

You know that y must have to equal 0. x can be anything though.

Step-by-step explanation:

The x-axis is a straight line in the center of the y-axis where y = 0.

[tex]\\ \sf\Rrightarrow m+11=3m+1[/tex]

[tex]\\ \sf\Rrightarrow m-3m=1-11[/tex]

[tex]\\ \sf\Rrightarrow -2m=-10[/tex]

[tex]\\ \sf\Rrightarrow m=-10/-2 [/tex]

[tex]\\\sf \Rrightarrow m = 5[/tex]

Answer:

the answer is B.

Step-by-step explanation:

hope this helps!