The value of a car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was 1000? 5000? 5020? X dollars?

Sum of first n terms of two AP's are in the ratio (3n + 8) : (7n + 15).

the ratio of their 12th terms​

Let the first terms and common differences of the two APs be a , d & a' , d'.

We know that,

Sum of first n terms of an AP (Sn) = n/2 * [ 2a + (n - 1)d ]

So,

⟹ n/2 * [ 2a + (n - 1)d ] : n/2 * [ 2a' + (n - 1)d' ] = 3n + 8 : 7n + 15

⟹ 2a + (n - 1)d : 2a' + (n - 1)d' = 3n + 8 : 7n + 15

Multiply numerator and denominator by 1/2 in LHS

⟹ a + (n - 1)/2 * d : a' + (n - 1)/2 * d' = 3n + 8 : 7n + 15

Now,

3n + 8 : 7n + 15 is the ratio of nth terms of the two APs.

We have to find the ratio of 12th terms.

We know that,

nth term of an AP (aₙ) = a + (n - 1)d

⟹ a₁₂ = a + (12 - 1)d

⟹ a₁₂ = a + 11d

So,

⟹ a + (n - 1)/2 * d = a + 11d

⟹ n - 1/2 = 11

⟹ n - 1 = 22

⟹ n = 23

Hence, we have to substitute n as 23 to find the ratio of their 12th terms.

⟹ a + 11d : a' + 11d' = 3(23) + 8 : 7(23) + 15

⟹ a + 11d : a' + 11d' = 77 : 176

⟹ a + 11d : a' + 11d' = 7 : 16

∴ The ratio of the 12th terms of the two APs is 7 : 16.

I hope it will help you.

Regards.

Answer: 16

Step-by-step explanation:

They tell you that for every 5ft=2cm you have 40ft so 40ft/5ft=8 so turn you want to multiply 8x2 to get it in cm which is 16

Answer:MABYE THE SAME AS THE EXAMPLE OR ABECFDHGI

Step-by-step explanation:

Answer:

f(x) = { 3, 1, -1, -3 }

Step-by-step explanation:

f(x) = −2x + 5

when

x=1

f(1) =−2 * 1 + 5 = -2 + 5 = 3

x=2

f(2) = −2 * 2 + 5 = -4 + 5 = 1

x=3

f(3) = −2 * 3 + 5 = -6 + 5 = -1

x=4

f(4) = −2 * 4 + 5 = -8 + 5  = -3

Answer:

f(x) = { 3, 1, -1, -3 }

Step-by-step explanation:

Have a great day <3

Answer:

Look at explanation.

Step-by-step explanation:

a.

<ACD and <DCA

b.

90 = m<1 + m<2

90 = 2x + x

90 = 3x

x = 30

Plug back into angles:

m<1 = 2x

m<1 = 60 degrees

m<2 = x

m<2 = 30 degrees

Answer:

pretty sure it’s 60°

Answer: X=18

Step-by-step explanation:

Step-by-step explanation:

3y/4 = 36

3y = 36 × 4

3y = 144

y = 48

Hence,

The value of y = 48.

Answer:

$42 per day

Step-by-step explanation:

Michael works 6 days every month

His grandfather pays him the same amount each day.

Michael earned $252

e = $252

Amount Michael earns per day = Total amount earned in a month / number of days worked for in a month

= $252 / 6 days

= $42 per day

Answer:

a² + b² + c² - 2ab + 2bc - 2ac

Step-by-step explanation:

Answer:

[tex]b=\frac{c+2}{a}\:[/tex]

Step-by-step explanation:

[tex]ab-c=2\\\\\add(c)\\\\ab=2+c\\\\divide(a)\\[/tex]

[tex]\frac{c+2}{a}\:[/tex]

Answer:

I believe it is long term goals

Step-by-step explanation:

But I don’t really know if it is correct but it sounds like it would be long term goals

The investment of the money in a retirement fund is part of a plan for achieving Long term goals. Thus, option (B) is correct.

Investment refers to the money spend over something that will give profits and higher rates of return. The money can be spent over the business or in the future projects or in the mutual investments etc.

It is basically the asset that has been acquired or invested to earn the wealth. People do spent in various sectors such as gold, shares, bonds, real estate etc. in order to earn maximum profits out of it.

There are two types of investment that is long term investment and short term investment in which the person spending on the long term investment can spend money on the retirement fund.

Therefore, it can be concluded that option (B) is correct.

Learn more about investment here:

https://brainly.com/question/14682309

#SPJ2

Answer:

The hospital is stuffy and the air has an undertone of bleach. the walls are magnolia and are scraped in places from the hundreds of trolleys. that have bumped into them. The picture in the wall are cheap benign prints of uplifting scenes and above the double doors are large blue plastic signs with the areas of hospital lie ahead.I was comig through the two doors to see my grandpa and he was bareley alive then I walked with him back through the blue doors with the sam stuffy feeling after I walked through then as we approached the surgery room he miraculously recovered and walked away and no knows how it happened. Too this day the hospital employees wonder how this had happened

Answer:

96

Step-by-step explanation:

It appears that the rate of change for this sequence is +3 because since t(1) = 11 and t(3) = 17, it would make sense that t(2) = 14.

From there you can use a calculator and start from 17 and keep adding 3 until you notice a number that doesn't belong in the sequence.

Hope this helps! I apologize if I'm incorrect

Answer:

38 minutes each day

Step-by-step explanation:

Answer:

38 minutes per day

Step-by-step explanation:

The information given says that Jace practices 798 minutes in 3 WEEKS and we need to convert that to days. There are 7 days in a week so multiply

7 x 3 = 21

Now you have to divide the minutes by 21.

798 ÷ 21 = 38

Jace practices piano for 38 minutes every day.

Hope that helps and have a great day!

Answer:

the Fourth One

Step-by-step explanation:

Answer: A

Step-by-step explanation:

1. Divide the price of the raisins by the ounce

                     __

2.98 / 6 = .496

7.18 / 13 = .5523

2. round to the nearest hundredth

.50

.55

3. The lowest unit cost is your answer

Answer:

What????

Step-by-step explanation:

1. (-y, x)

2. (-x, -y)

3. (y, -x)

4. (x, -y)

5. (-x, y)

Answer:

$270.625

Step-by-step explanation:

[tex]\frac{x}{250} \frac{108.25}{100} = 270.625[/tex]

Answer:

A. New Christian denominations emerged

Step-by-step explanation:

Luthern, Nazarene, Methodist etc are all a result of the reformation.

Answer:

Kelly offers 9 of her friends to play, but 2 of them don't want to play...so if it costs $4 per person...then do $4.00 • 7 = $28.00......so the answer is $28.00 .

Answer:

y=-4x-33

Step-by-step explanation:

Since the equation is parallel it will have the same slope which is -4

Now just plug in the points into the equation y=-4x+n

Plug them in and you get -5=-4(-7)+n

Then solve which will get you n=-33

Therefore the equation is y=-4x-33

Answer:

a

Step-by-step explanation:

hope this helps :)

Answer:

it the last one

Step-by-step explanation:

Answer:

40000

Step-by-step explanation:

Answer:

The value of 4 is 40,000

Step-by-step explanation:

Can I have brainliest?