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Luden [163]
3 years ago
12

Nina opened a savings account and deposited $300.00. The account earns 4% interest, compounded monthly. If she wants to use the

money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?
Mathematics
2 answers:
Alexeev081 [22]3 years ago
6 0
Turn 4% into a decimal by dividing it by 100
4/100=0.04
0.04times300=$12 in interest
12months times 3yrs=36 months
36times$12=$432

nina will be able to spend $432 on the bike
mylen [45]3 years ago
5 0

Answer:

up to $338.18

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r/n)^(n*t), where r is the interest rate as a decimal fraction and n is the number of compounding periods per year.

Here, A = $300(1 + 0.04/12)^(12*3), or

          A = $300(1.0033333)^*36, or

          A = $300(1.127) = $338.18

Nina will be able to spend up to $338.18 on a new bike.

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7 0
3 years ago
Read 2 more answers
Please answer this for me and show me the work.
Gala2k [10]
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4 0
3 years ago
The sugar content of the syrup is canned peaches is normally distributed. Assumethe can is designed to have standard deviation 5
andreyandreev [35.5K]

Answer: 0.50477

Step-by-step explanation:

Given : The sugar content of the syrup is canned peaches is normally distributed.

We assume the can is designed to have standard deviation \sigma=5 milligrams.

The sampling distribution of the sample variance is chi-square distribution.

Also,The data yields a sample standard deviation of s=4.8 milligrams.

Sample size : n= 10

Test statistic for chi-square :\chi^2=\dfrac{s^2(n-1)}{\sigma^2}

i.e. \chi^2=\dfrac{(4.8)^2(10-1)}{(5)^2}=8.2944

Now, P-value = P(\chi^2>8.2944)=0.50477  [By using the chi-square distribution table for p-values.]

Hence, the chance of observing the sample standard deviation greater than 4.8 milligrams = 0.50477

8 0
3 years ago
Todd wants to buy a new video game for $43.31. He has $55.50. The sales tax is 8.5% of the total purchase. Does Todd have enough
sammy [17]

Answer:

  yes

Step-by-step explanation:

We can estimate* that the total price including tax of the game will be less than ...

  $43.31 +10% of 43.31 = $43.31 +4.33 = $47.61

Todd easily has enough to pay for the game, including tax.

_____

You can work this more exactly a couple of ways.

  1. Price + tax = 1.085×$43.31 = $46.99 . . . less than Todd's budget

  2. Most Todd can afford: $55.50/1.085 = $51.15 . . . more than the game price

_____

* For estimating purposes, we like to use numbers that are easy to compute with. 10% is one such number, as it only requires moving the decimal point.

7 0
3 years ago
7.2 - 3 C equals 2 c - 2
dolphi86 [110]

Answer:

9.2/5= C

Step-by-step explanation:

7.2- 3C = 2C -2     First, add the 2 on the other side to isolate 2C on one side

+2                   +2

9.2 - 3C = 2C       Next, add 3C to the other side        

+3C   +3C

9.2 = 5C                Finally divide both sides by 5 to find the value of C

9.2/5= 5C/5

9.2/5 = C     by dividing by 5 the 5 cancels out and you're left with the C value

5 0
2 years ago
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