Mathematics High School

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

If 4x+ 3 = 9x − 4, then x = ?
F. 75 G. 57 H. 713 J. 15 K. −15

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Answer:

Step-by-step explanation:

Jhbiko

Answer:

7/5

Step-by-step explanation:

4x+3=9x-4

3=9x-4-4x

3=5x-4

3+4=5x

7=5x

7/5=x

x= 7/5

is this one of the choices I hope it helps.

Rectangle A is 10 times as long as rectangle B.



If rectangle A is 80 units long, select all the ways to find the length of rectangle

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Answer:

8

Step-by-step explanation:

80/10=8

What is the missing number in this pattern?
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Answer:

1, 8, 27, 64, 125, 216, 343, 512,

What property of multiplication allows us to multiply in any order
A. commutative property of multiplication

B. Associative property of multiplication

C. Identity property of multiplication

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Answer:

Its B i did this for math

Step-by-step explanation:

Select all that apply.

Which rates are equivalent to 25 miles per gallon? i need help lol im failing

Answers

Can you add a picture ? Or tell me the answer choices ?

55:59
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents
g(x)?
O g(x) = (x + 9)2 + 4
O g(x) = (x + 9)2 - 4
O g(x) = (x - 4)2 + 9
O g(x) = (x + 4)2 + 9

Answers

Answer:

g(x)=(x-4)^2+9

Step-by-step explanation:

The function representing the g(x) is g(x) = (x - 4)² + 9.

What is Translation of Functions?

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given is a function f(x).

f(x) = x²

A horizontal translation makes the function f(x) to f(x ± k), where k is the unit of translation.

And the vertical translation results in f(x) = f(x) ± k.

Here function f(x) = x² has been translated 9 units up.

f(x) → f(x) + 9 = x² + 9

Then it is translated 4 units to the right,

g(x) = (x - 4)² + 9, since the translation is towards right.

Hence the correct answer is g(x) = (x - 4)² + 9.

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what is 17 + (6 + 2x)

Answers

Answer:

23 + 2x

Step-by-step explanation:

17 + 6 + 2x

23 + 2x

Subtract: −11−(−6)
please help i can noot g iit

Answers

-5 is the answer
-11-(-6)= -5

Answer:

-5

Step-by-step explanation:

-11-(-6)

-11+6

-5

If this helps please mark as brainliest

Find the missing length indicated

I WILL GIVE BRAINLIEST TO CORRECT ANSWER

Answers

Answer:

i think 9

Step-by-step explanation:

Answer:

its 9 (a) your welcome

John has $50 in his bank account. He gets his usual allowance of $20 and mows two lawns, earning $10 each. He puts that money in the bank. Then John spends $45 on a video game.

Answers

He has 45 dollars left

Which pair of lines are perpendicular lines?
O A
y = 4x-6
= 4x+11
B
y=-48-6
y = 4x+11
O c y = 1 - 6
y = 4x+11
Ody=--6
y = 4x+11

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The new law and order the same as that of the world to be a part of the problem is the best and the second half of the year in the United States and the second one of those people who have a good to be a part of this year old and a half ago and it is not a problem with it, but the only thing I can think of is the only one that I have a lot to learn more about the schools ✏️ and the second half of the season ⛄ the first time I have to admit that the government has been a member of the National Academy of Sciences Sciences, but I think it was the best of both the House and the Senate floor and the second half of the year and a half ago and I am sure you have the time or another embodiment of the invention to provide a method of claim to the point ↖️ the first time I have to admit that I have to admit that I have a few more years to come up with a better place to live in this country are the best and I am a big fan of this year, the first of the year in which the user to the right ▶️ the first place and I have to admit.

What the rate of change of the function y = 3/2x + 5?

Answers

Answer: 3/2

Step-by-step explanation: Rate of change is the same thing as the slope.

Please help. I don't understand this.​

Answers

Answer:

radius=6

Step-by-step explanation:

arc ACB=6xPi

Pi=3.14159

arc ACB=18.85 (rounded to 2 places)

ACB is a half circle so a full circle would be 18.85x2 or 37.7

circumference (whole circle)=2 x Pi x radius

37.7=2 x 3.14159 x radius

radius= 37.7/(2 x 3.14159)

radius=6

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please solve this for me thanks

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Answer:

2.5

Step-by-step explanation:

FG is the exact same as FE which is 2.5.

please help asap!!!look at the box

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I think it’s B might be wrong though

Answer:

y

Step-by-step explanation:

A number divided by –8 is 7.
Equation:
Steps:

Solution:

Answers

Answer:

.

Step-by-step explanation:

Answer:

-56

Step-by-step explanation:

Let the said number be x, so

x / -8 = 7

That's the equation

On solving further, we cross multiply to have

x = -8 * 7

x = -56

That means the number is -56

if two pizzas cost $14.50 how much will 15 pizzas cost​

Answers

Answer:

108.75

Step-by-step explanation:

7.25 x 15 = 108.75

21 of an ice cream company's flavors contain nuts.
How many total flavors does the company make if
30% of them contain nuts?

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Answer:

The company has 70 falvors

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Answers

X=1 FE=8 ED=2 hope this helps

In ΔPQR, p = 220 inches, q = 890 inches and ∠R=121°. Find the length of r, to the nearest inch.

Answers

the value of r will be 970 inches Approx.

What are the properties of Triangle?

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Given, In ΔPQR, p = 220 inches, q = 890 inches and ∠R=121°.

From the general formula of side of triangle:

c² = a² +b² - 2ab * cos ∠C

In Our case,

a = p = 220

b = q = 890.

c = r

∠C = ∠R = 121 degrees

Thus,

r² = 220² + 890² - 2*220*890 * cos 121°

r² = 941344.455067

r = 970.229073501

r = 970 inches Approx.

Therefore, the value of r will be 970 inches Approx.

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what is the multiplicative rat of change of the function?
2/3
3/4
4/3
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Answers

Answer:

3/4

Step-by-step explanation:

The "multiplicative rate of change" refers to the rate at which the function increases. The rate of exchange below is [tex]\frac{3}{4}[/tex] because if you multiply this to every value of y, the product is the next value of y.

[tex]\frac{3}{2}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{9}{8}[/tex] [tex]\frac{9}{8}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{27}{32}[/tex][tex]\frac{27}{32}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{81}{128}[/tex]

If the function continues, the next value would be: [tex]\frac{243}{512}[/tex]

Such constant rate causes an "exponential growth."

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Chris had 30 minutes to do a three-problem quiz. He spent 11 3/4 minutes on question A and 4 1/2 minutes on question B. How much time did he have left for question C?

Answers

Answer:Chris spent 13 3/4 minutes on question C

Step-by-step explanation:

First let's write an equation:

We know 30 is the total and we are trying to find a part, and 11 3/4 is a part and 4 and 1/2 is a part

So:

30=11 3/4 + 4 1/2 + x

30=16 1/4 + x

- 16 on both sides(to find what x equals to)

13 2/4=x

X=13 3/4

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Answers

Answer:

23 + 16 = 39

39 - 16 = 23

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Answers

Answer:

10π cm

Step-by-step explanation:

We require to find the radius (r) of the circle

The area (A ) is calculated as

A = πr² = 25π ( divide both sides by π )

r² = 25 ( take the square root of both sides )

r = [tex]\sqrt{25}[/tex] = 5

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C = 2πr = 2π × 5 = 10π cm

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Answers

no, it should be 5.3 repeating as a fraction. divide 16/3 and turn it into a fraction

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Answers

Answer:

x < 4  or 4 - x

Step-by-step explanation:

Hope I helped please give me the brailiest if you dont mind :)

Please and thank you :)

I'm in 8th grade I need help with this question please help me

Answers

In slope intercept form it would be y=10+6x

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Answers

Answer:= 47812.5

Step-by-step explanation:

In an effort to save money, you placed $20 in a jar each month for 2 years. You spent 60% on presents for your family. How much do you have left?

Answers

Answer: $552

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480 x 0.60 = 228

480-228=552

Margaret deposits $1,000 in a savings account that pays 1.4% interest compounded
semiannually. What is her balance after 1 year?

Answers

Answer:

The balance after 1 year is;

$1,014.05

Step-by-step explanation:

To do this, we use the compound interest formula

That will be ;

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

A is the amount generated which we want to calculate

r is the rate = 1.4% = 0.014

P is the amount deposited = $1,000

n is the number of times it is compounded annually which is 2 (semi-annually means 2 times in a year)

this the number of years which is 1

we have this as:

A = 1,000( 1 + 0.014/2)^(2*1)

A = 1,000(1 + 0.007)^2

A = 1,000(1.007)^2

A = $1,014.05

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