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adell [148]
3 years ago
14

Antonia is saving for a video game.On the first day,she saves two dollars in her piggy bank.Each day after that,she doubles the

number of dollars she saved on the previous day.How many dollars does she save on the sixth day?
Mathematics
1 answer:
Airida [17]3 years ago
6 0

Answer: she would be having $64 on the sixth day

Step-by-step explanation:

Each day,she doubles the number of dollars she saved on the previous day. This amount of money that she saves each day is increasing in a geometric progression. The formula for the nth term of a geometric progression is

Tn = ar^(n - 1)

Where

a is the first term of the sequence

r is the common ratio

n is the number of terms

To determine how much she saves on the sixth day,

n = 6

a = 2

r = 2

T6 = 2×2^(6 - 1)

T6 = 2 × 2^5

T6 = 64

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PLEASE HELP!!! WORTH 20 POINTS!
Mkey [24]

Answer:

a. 1 1/2 (or 3/2)

b. 2/3

c. 1

d. 1

Step-by-step explanation:

Part A: (1,1) (7,5)

To determine the slope, you will use the equation m=(y2-y1)/(x2-x1). Keep in mind that it doesn't matter what point you use for (x1, y1) or (x2, y2).

Let's plug in the numbers for part a:

m=(7-1)/(5-1)

Let's then solve the problems inside the parentheses:

m=6/4

And finally, we simplify:

m=3/2 (or 1 1/2 depending on what your teacher wants for an answer)

For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.

Part B: (1,1) (5,7)

m=(5-1)/(7-1)

m=(4/6)

m=2/3

Part C: (2,5) (-1,2)

m=(-1-2)/(2-5)

m=(-3/-3)

m=1

Part D: (2,5) (-7,-4)

m=(-7-2)/(-4-5)

m=(-9/-9)

m=1

8 0
2 years ago
tony said that the school playground was 3,600 inches long. Explain how you could write 3,600 inches in a way that might be easi
kirill115 [55]
Well I would change it to feet to make it easier. There are 12 I inches in a foot so I would divide by 12. 3,600÷12=300 so the playground would be 300feet long. Which is easier than 3,600 inches. ANSWER:300 feet
7 0
3 years ago
READ WHOLE QUESTION!:There are 50 campers at day camp and 10 counselors.Write the ratio campers to counselors as a fraction.Expl
Dovator [93]
<span>Given that there are 50 campers at day camp and 10 counselors.

The ratio of campers to counselors as a fraction is given by \frac{50}{10}.

Using equivalent fractions we have \frac{50\div10}{10\div10} = \frac{5}{1}.

Thus, the related rate and unit rate to the ratio of campers to counselors is given by \frac{5}{1}.

The unit rate indicates that for every counselor, there are 5 campers.</span>
6 0
3 years ago
Find the distance from the origin to the graph of 4x-y+8=0
kupik [55]

Answer:

x=\frac{1}{4}y-2

Step-by-step explanation:

x= 1 over 4y-2

8 0
3 years ago
Priya can bike 150 meters in 20 seconds at this rate , how long would it take her to bike in 3,000 meters???????? Does anyone kn
ExtremeBDS [4]

Answer:

400 seconds

Step-by-step explanation:

150/20=7.5 meters per second

3000/7.5=400 seconds

3 0
3 years ago
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