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pogonyaev
3 years ago
13

You deposit $500 into a savings account that earns 7% simple interest for 10 years. What is the Principal? What is the rate and

rate as decimal? What is Time?
Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0
The Principal is the amount you deposit at the start, so P= $500
The rate is 7%, as you will be earning 7% extra yearly in simple interest.
As a decimal, the rate is 0.07 - 7 PER CENT literally means per 100, so 7/100 is 0.07. However, when actually figuring out the simple interest, you have to add 1 to 0.07 because you are earning 7% ON TOP OF your original amount.
The time is 10, as you are leaving the money in the account for 10 years, and time is measured in the given unit
Now, let's plug in this information into the general formulas:
I=Prt
where I is the just the interest earned
I=500×0.07×10
I=$350

A=P(1+r/100×t)
where A is the total amount (original sum of money plus interest)
A=500(1+0.07×10)
A=$850

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15/17

Step-by-step explanation:

if they won 2 games they lost 15 (17-2)  so the ratio is 15/17

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Ten red cards and ten black cards are placed in a bag. You choose one card
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50-50

Step-by-step explanation:

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3 years ago
Out of a sample 650 high school students, 321 take the bus to school every day. construct a 99% confidence interval for the popu
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A 99% confidence interval for the population mean of high school students that take the bus to school every day is b) ci=(44.34%, 54.43%)

We need to find the 99% confidence interval for the population mean of high school students that take the bus to school everyday

A confidence interval is a range of estimates for an unknown parameter. The confidence interval is calculated at the specified confidence level; the most common is the 95% confidence level, but sometimes other levels are used, such as 90% or 99%.

The confidence interval of proportions is given by:

π ± z √(π (1-π) /n)

π is the sample proportion.

z is the critical value.

n is the sample size.

For 99% confidence interval the value of z is 2.58

π = 321/650

The confidence interval is given by

=321/650 ± 2.58 √( (321/650) × [ 1 - (321/650) ] ÷ 650)

= (0.493846 ± 0.050594)

=(0.4434 , 0.5443)

=(44.34 % , 54.43 %)

Hence a 99% confidence interval for the population mean of high school students that take the bus to school every day is ci=(44.34%, 54.43%)

<u>Learn more about confidence interval:</u>

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8 0
2 years ago
Three friends went out to eat dinner the bill came to 35.60 the three friends also decided to leave a 6.00 tip if they shared th
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Answer:

13.87

Step-by-step explanation:

Three friends went out to eat dinner the bill came to 35.60. This means that the total bill for the dinner was 35.60.

The original bill was 35.60. If they shared the bill equally, the amount that each of them would pay would be

Total bill / number of friends

It becomes 35.60/3 = 11.87

The three friends also decided to leave a 6.00 tip and it was sent equally. This means that each friend would pay a tip of

6/3 = 2. ( total amount of tip paid divided by the number of friends)

Therefore, the total amount that each has to pay = amount each paid for the bill + amount that each paid for the tip

= 11.87 + 2 = 13.87

7 0
3 years ago
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