Lamont’s grandmother started a stamp collection in 1914 (year 1) and added the same number of stamps to the collection each year. When Lamont’s mother received the collection in 1954, there were 203 stamps in the collection. Lamont’s mother continued to add the same number of stamps to the collection each year. When Lamont received the collection in 1990, there were 383 stamps in the collection. If Lamont continued to add the same number of stamps each year, how many stamps were in the collection at the end of 2000 (year 86)?

A. 204

B. 293

C. 433

D. 663

Answers

Answer 1

Answer: C. 433

Step-by-step explanation:

Linear equation: y=mx+c,  where m= constant rate of change, c=initial value of yor y-intercept.

Let x = number of years after 1914.

y=  Number of stamps after x years.

In 1954 (year 40), there were 203 stamps in the collection.

i.e. 203=40m+c (i)  [rate of change in number of stamps  is constant]

In 1990 (year 76), there were 383 stamps in the collection.

i.e. 383=76m+c (ii)

Subtract (i) from (ii)

180= 36m

[tex]\Rightarrow\ m=5[/tex] i.e. 5 stamps added per year.

from (i), [tex]203=40(5)+c\Rightarrow\ c=203-200=3[/tex] [Initially he has 3 stamps]

Stamps in 2000(year 86)  = m(86)+c= 5(86)+3

= 430+3

= 433

Hence, correct option is C. 433


Related Questions

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Q
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Q
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2
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Answer:

maths challenge>

Step-by-step explanation:

samee

Write down the gradient of the line
(1 Point)
y=1/2x​

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Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in point- slope form is

y = mx + c ( m is the slope ( gradient ), c is the y- intercept )

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with gradient = [tex]\frac{1}{2}[/tex]

19. Find the measure of angle ABC.

Answers

Answer:

72

Step-by-step explanation:

6x+6x+8x=180 (∠ sum of Δ)

20x=180

x=9

∠ABC=8(9)

         =72

Most complicated and written out explanation for 1 plus 1 can get 20 points and brainliest.

Answers

Answer:

looking at the equation one plus one we see there can be many answers for example we can take one plus ine and change it to a number of different questions including but not limited to 1+1 1-1 1/1 1x1 1^1 etc looking at other results we can then determine tat 1+1=2 all though alternative answers could be present

Step-by-step explanation:

The length of a rectangle is eight more than twice it's width. the perimeter is 96 feet. find the dimensions

Variables:


equation:



Solution:​

Answers

Answer:

the length and width be 13.33 feet and 34.67 feet respectively

Step-by-step explanation:

The computation is shown below:

Let us assume the width be x

So, the length be 2x + 8

As we know that

The perimeter of the rectangle = 2(length + width)

96 = 2(2x + 8 + x)

96 = 4x + 16 + 2x

96 - 16 = 6x

80 = 6x

x = 80 ÷ 6

= 13.33 feet

So, the length would be

= 2 × 13.33 + 8

= 34.67 feet

Hence, the length and width be 13.33 feet and 34.67 feet respectively

The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number?
ОА.
The equation that represents this situation is 10 - X= -18. The second number is 28.
OB. The equation that represents this situation is 10 + x = -18. The second number is -28.
OC.
The equation that represents this situation is x - 10 = -18. The second number is -8.
OD
The equation that represents this situation is -10 + x = -18. The second number is -8.

Answers

Step-by-step explanation:

OB. The equation that represents this situation is 10 + x = -18. The second number is -28. this is the answer cause the sum means +

Which ones are correct will give brainlist!!

Answers

Answer:

A and C and E

Step-by-step explanation:

All these answers are true because the line is always constant, the slope is going down so therefore negative, and the equation is correct because you can fill in any value and they would be correct.

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Answers

Answer:

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Step-by-step explanation:

Parker's dog will be having four puppies. Parker performs a
simulation by tossing a coin to model whether these
puppies will be male or female.
• Let heads (H) = female puppy
• Let tails (T) = male puppy

Answers

Answer:

7/10 70%

Step-by-step explanation:

based on the coin flips, 7 out of 10 of the results have at least 2 female puppies. I hope this is correct :)

Answer: A

Step-by-step explanation: took the quiz and got it right

The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day. The number of red carnations sold was 3 more than 2 times the number of pink carnations sold. Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 . How many of each carnation were sold?

Answers

Answer:

The number of :

Red carnations sold = x = 687 carnations

Pink carnations sold = y = 342 carnations

How many of each carnation were

Step-by-step explanation:

Let us represent

The number of :

Red carnations = x

Pink carnations = y

The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day.

The number of red carnations sold was 3 more than 2 times the number of pink carnations sold.

x = 3 + 2y .....Equation 1

Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 .

$0.50 × x + 0.75 × y = $600

0.5x + 0.75y = 600...... Equation 2

Using substitution method:

Let us substitute, 3 + 2y for x in Equation 2

0.5(3 + 2y) + 0.75y = 600

1.5 + y + 0.75y = 600

y + 0.75y = 600 - 1.5

1.75y = 598.5

y = 598.5/ 1.75

y = 342 carnations.

Solving for x

x = 3 + 2y .....Equation 1

x = 3 + 2(342)

x = 3 + 684

x = 687 carnations

Therefore, The number of :

Red carnations = x = 687 carnations

Pink carnations = y = 342 carnations

Can someone help me (7th grade science) need to be done as soon as possible

Answers

Answer:

oouu I'm in 7th grade science and I already did this I can help!

I need help solving these two questions
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Answers

Answer:

x=0 and x=5/2

Step-by-step explanation:

Combine like terms.

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x=0

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Answers

Answer:

x = -6

Step-by-step explanation:

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Answers

Answer:

d = 45

Step-by-step explanation:

d = 2r

d = 2× 22.5

d = 45

Answer:

if the radius of a circle is 22.5 inches what is the area of the circle

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Answers

Answer:

30%

Step-by-step explanation:

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150/500 x 100

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Answers

Answer: D.0.025

Step-by-step explanation:

Given: A bag contains 2 red,5 blue,6 yellow, and 3 green crayons.

Total crayons: 2+5+6+3=16

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Answers

Answer:

I think that it is n<3

Step-by-step explanation:

work out 1/5 of 80 =

Answers

Answer:

16

Step-by-step explanation: your welcome

HELP ASAP I WILL GIVE BRAINLYYYY
Priscilla is drawing a map of her school that uses a scale in which 1.5 cm on the map represents 3 feet. If the first hallway has a length of 120 feet, what should the length of the hallway be on the map?
1 point
a. 40 cm
b. 60 cm
c. 30 cm
d. 45 cm

Answers

Answer: 60 cm

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Answers

Answer: It's 18

Step-by-step explanation: i took it and got it right

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A. 4 cm

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Answers

Answer:

B. 8cm

Step-by-step explanation:

radius = 4cm

volume = 4/3 π r³

volume = 4/3 *3.14 *4³ (π = 3.14)

volume = 268cm³

hope it is help you

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Answers

Answer:

The last one t/5-6=-3

Step-by-step explanation:

All you have to do is plug in 15 to each equation, knowing this if you add 15 into this equation you would get 15/5-6=-3 and this is true because 15/5=3, 3-6=-3!

I hope this helps and have a great day!

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Answers

Answer:

2!!

Step-by-step explanation:

The greatest common factor between these terms is 1. Since we do not know the value of k we can only rightly assumes that each term is only divisible by 1 and itself.

A shoe store uses a markup rate 40% when determining the retail price of its items. If the store pays $42.25 for a pair of shoes wholesale, what will be the retail price of that pair of shoes?

Answers

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Answers

Answer:  3/2 cm per second

========================================================

Explanation:

We could compute the slope of this line to get the answer, or we could simply compute y/x. This shortcut only works because the line goes through the origin. If the line didn't go through the origin, then we would have to use the slope formula.

The unit rate is y/x = 9/6 = 3/2 cm per second. I used the point (9,6) to compute the unit rate.

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(ONLY MY FRIENDS RESPOND) What is the Area of a square if it has L= 32cm and W= 20cm?
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Answers

Answer:

640

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Answers

Answer:

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Explantiotn

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Answers

Answer: Below is the first one

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6a-1÷7=4. . . . . . . . . . .. . . ​

Answers

Answer:

a=29/42

Step-by-step explanation:

6a-1÷7=4

first write the division as a fraction

6a-1/7=4

add 1/7 to each side

6a=4+1/7

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6a=29/7

divide both sides by 6

a=29/42

Eiman borrowed $8000 at a rate of 14.5%, compounded semiannually. Assuming she makes no payments,
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Do not round any intermediate computations, and round your answer to the nearest cent.?


Answers

Answer:

1,717,351cents

Step-by-step explanation:

Using the compound interest formula

A = P(1+r/n)^nt

P = 8000

r = 14.5% = 0.145

n = 6/12 = 1/2 (semi annually)

t = 6years

Substitute

A = 8000(1+ 0.145/0.5)*(0.5)(6)

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A = 8000(2.146689

A = 17,173.512

Hence the amount owned to the nearest cent is 1,717,351cents

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