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sergejj [24]
3 years ago
8

Mr. Nichols put $1,200 in a savings account at a local bank. The simple annual interest rate was 5%. How much interest did his a

ccount earn in 3 years?
Mathematics
1 answer:
satela [25.4K]3 years ago
8 0

\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad  \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$1200\\ r=rate\to 5\%\to \frac{5}{100}\to &0.05\\ t=years\to &3 \end{cases} \\\\\\ I=(1200)(0.05)(3)\implies I=180

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You sell your bicycle to your friend for 65$ your friend gives you x five dollar bills and y ten dollar bills. There are a total
jeka94

Answer:

There are 5 five dollar bills and 4 ten dollar bills.

Step-by-step explanation:

Given:

Selling price of bicycle =\$65.

The friend gave x five dollar bills and y ten dollar bills.

Total number of bills =9.

To find: Number of five dollar bills and ten dollar bills the friend gave.

Solution:

The friend gave x five dollar bills and y ten dollar bills and the friend gave 9bills in all.

So, x+y=9.

\Rightarrow x=9-y   ...(i)

Selling price of bicycle =\$65.

So, 5x+10y=65...(ii)

Putting the value of x from equation (i) in equation (ii).

\Rightarrow 5(9-y)+10y=65

\Rightarrow 45-5y+10y=65

\Rightarrow 45+5y=65

\Rightarrow 5y=65-45

\Rightarrow 5y=20

\Rightarrow y=\frac{20}{5}

\Rightarrow y=4

Now, putting the value of y in equation (i).

\Rightarrow x=9-4

\Rightarrow x=5

Hence, there are 5 five dollar bills and 4 ten dollar bills.

5 0
3 years ago
Dan invests £1000 into his bank account. He receives 10% per year simple interest. How much will Dan have after 2 years? Give yo
slava [35]

Answer:

1200

Step-by-step explanation:

i=prt is the interest equation however we must find the total because it says <em>After</em> 2 years

first lets do 1000*.1*2=200

1000+200=

1200

7 0
2 years ago
00:00
Gala2k [10]

Answer:

Part A= $21.35 || Part B= $4.37

Step-by-step explanation:

That's how money works.

4 0
3 years ago
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What is the solution to this equation?
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4 0
3 years ago
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You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly sele
Damm [24]

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.093

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that n = 20, s = 31.61

What is the margin of error for this estimate?

M = T\frac{s}{\sqrt{n}}

M = 2.093\frac{31.61}{\sqrt{20}}

M = 14.79

The margin of error for this estimate is of 14.79 yards per game.

3 0
3 years ago
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