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Molodets [167]
3 years ago
8

Samuel took an antique clock that his grandfather had purchased, to be appraised. The appraiser evaluated the current price of t

he clock to be $400 and stated that the value will continue to increase at 2% per year.
Which of the following graphs shows the value of the antique clock, y, in dollars, after x years?

Mathematics
1 answer:
andrew11 [14]3 years ago
6 0
This is an exponential growth problem. Exponential growth can be expressed mathematically in the following way: 
y=a (1+r)^{t}.
Parameter a presents initial amount.
Parameter r is percentage increase. 
Parameter t is time.
An equation that would describe given problem is:
y=400 (1+0.02)^{t}
t is the time in years.
I attached the graph of this function.

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Find the distance between the two points (0,0), (4,3)
Amiraneli [1.4K]

Answer:

Distance between the points=5

Step-by-step explanation:

The distance between two points in coordinate geometry is measured by using the distance formula:

If we have given two points

                   (x_1,y_1)\\\\(x_2,y_2)

Distance formula=  \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For (0,0) and (4,3)

      Distance:                          

                        \sqrt{(4-0)^2+(3-0)^2} \\\\\sqrt{4^2+3^2}\\\\\sqrt{16+9}\\\\\sqrt{25}

Or

      Distance between the points=5

4 0
3 years ago
-5x + y = -6 <br><br>7x + 2y = 39
storchak [24]

Answer:

so i don't know if they are separate math problems but for the first question i got M=5 and the second question i got M=-7/2

Step-by-step explanation:

hope this helps please mark brainliest

6 0
3 years ago
Roscoe is exchanging $ 121 for Euros for his upcoming trip to Germany. If $2 can be exchanged for 1.78 Euros,how many Euros will
olasank [31]
Answer is define variable
6 0
1 year ago
A package of Big Bubbles Gum has 10 pieces and sells for 2.90. A package of fruity gum has 20 pieces and sells for 6.20. Compare
larisa86 [58]

Answer:

The unit price for the Big Bubbles Gum is 0.29 cents, while the unit price for the fruity gum is 0.31 cents.

Step-by-step explanation:

First identify what you know:

1) A package of Bug Bubbles Wrap, containing 10 pieces of gum, sells for a total of $2.90.

2) A package of fruity gum, with 20 pieces of gum, sells for a total of $6.20.

What is the unit price? The unit price is how much you're selling for a single piece within the package! If you were to buy just one packet, how much would it cost? To calculate this, simply divide the total cost of the package, but the number of units, or rather, pieces!

$2.90/10 = 0.29 cents

$6.20/20 = 0.31 cents

From this, we see that a single unit (piece) of the Big Bubble Gum, is only 29 cents, while a single unit (piece) of the fruity gum is 31 cents. So, it would be a better deal to buy the Big Bubble Gum!

For, twenty of the Big Bubble Gum, you'd buy two packages, for $5.80, which is 40 cents less than one package of 20 pieces of fruity gum!

Hope this helps! :)

6 0
3 years ago
Read 2 more answers
2. Which of the following are terms of the series with nth term T-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566
pishuonlain [190]

Answer:

The correct options are a,b,e and f.

Step-by-step explanation:

It is given that the nth terms of the series is defined as

T_n=3n+17

Subtract 17 from both the sides.

T_n-17=3n

Divide both sides by 3.

\frac{T_n-17}{3}=n

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

n=\frac{80-17}{3}=21

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

n=\frac{170-17}{3}=51

Since n is a positive integer, therefore 170 is a term of given series.

(c) The given term is 217.

n=\frac{217-17}{3}=66.67

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

n=\frac{312-17}{3}=98.33

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

n=\frac{278-17}{3}=87

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

n=\frac{3566-17}{3}=1183

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

7 0
3 years ago
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