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anastassius [24]
4 years ago
14

Carl deposited $5,142 into a savings account 20 years ago. The account has an interest rate of 3.8% and the balance is currently

$10,994.58. How often does the interest compound?
A. daily

B. monthly

C. quarterly

D. annually
Mathematics
1 answer:
Aleksandr [31]4 years ago
3 0
Here is the formula you'll need
Total = Principal * (1 + (rate/n))^n*years
I don't know how to solve that for "n" so we'll use trial and error.

If compounded annually, total = <span> <span> <span> 10,841.24 </span> </span> </span>
If compounded quarterly, total = <span> <span> <span> 10,955.64 </span>
</span></span><span>If compounded monthly, total = </span> <span> <span> <span> 10,981.82 </span> </span> </span>
If compounded daily, total = <span> <span> <span> 10,994.58 </span> </span> </span>
Therefore the answer is "A", daily.

Source:
http://www.1728.org/compint3.htm


<span> </span><span><span> </span> </span>

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find the margin of error to use for this sample mean sushi based on a sample of 35 people he average out of pieces of sushi a pe
NNADVOKAT [17]

Answer:

{13.7756,18.2244}

Step-by-step explanation:

Given the sample size, the margin of error can be calculated with the formula M=Z*\frac{\sigma}{\sqrt{n}} where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:

M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244

The formula for a confidence interval is CI=\bar{x}+M where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:

CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}

Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}

7 0
3 years ago
Nina’s garden is 4 1/5 meters long and 3/10 meter wide. What is the area of Nina’s garden?
Leno4ka [110]

Answer:

63/50 meters^2 or in mixed number: 1 13/50 meters^2

Step-by-step explanation:

Area= length * width

length = 4 1/5= 21/5 . Multiply the whole number with the denominator. 4*5= 20 . Add 20 with the numerator. 20+1=22

width= 3/10

21/5* 3/10 ( Multiply the denominators together). ( Multiply the numerators together).

21*3 / 5*10

8 0
3 years ago
What is <br> 6 3/5<br><br> Write your answer as a mixed number.
galina1969 [7]

Answer:

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Step-by-step explanation:

6 3/5 = 33/5

6 x 5 = 30

30 + 3 = 33

33/5.

4 0
3 years ago
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What is 2x+y=5. I am stuck
timurjin [86]

Answer:

y=−2x+5

Step by step explanation:

You need to put it in standard form which is y = mx+b.

If you want to find the  Y intercept, substitute 0 into X.

X = 2.5

If you want to find the X intercept, substitute 0 into Y

Y = 5

The slope is -5 by the way.

4 0
3 years ago
What number is 73% of 200
madam [21]
Calculate 73% of 200 by mult. 200 by 0.73:  0.73(200) = 146.
4 0
3 years ago
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