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elixir [45]
3 years ago
6

Tory deposited 3100 and to a savings account that pays simple annual interest rate of 3.38% how much interest will she earn afte

r 18 months?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0

Answer:

$157.17

Step-by-step explanation:

Interest is the amount of return that someone receive on the amount invested in a bank or in a business. The annual interest rate is defined on the invested amount. The amount invested is called the principal and.

By applying the interest rate on the principal amount, we can calculate the annual interest earning.

Principal = $3,100

Rate of simple interest = 3.38% per year

Now, define the total time period.

Time period = 18 months = 18 / 12 = 1.5 years

Now calculate the Total interest earning.

Interest Earned = $3,100 x 3.38% x 1.5 = $157.17

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Answer:

8

Step-by-step explanation:

(15-4x)+5

(15-4(3))+5

(15-12)+5

3+5=8

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Zoe is going to the skateboard park with a group of friends. Each ticket cost £8.50 each. Tickets purchased in pairs cost £7.50
egoroff_w [7]
It will be 18x7.50 + 1x8.50 = 143.50
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3 years ago
A survey of 35 individuals who passed the seven exams and obtained the rank of Fellow in the actuarial field finds the average s
arsen [322]

Answer:

150000-2.032\frac{15000}{\sqrt{35}}=144847.94    

150000+2.032\frac{15000}{\sqrt{35}}=155152.06

So on this case the 95% confidence interval would be given by (144847.94;155152.06)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=150000 represent the sample mean

\mu population mean (variable of interest)

s=15000 represent the sample standard deviation

n=35 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=35-1=34

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,34)".And we see that t_{\alpha/2}=2.032

Now we have everything in order to replace into formula (1):

150000-2.032\frac{15000}{\sqrt{35}}=144847.94    

150000+2.032\frac{15000}{\sqrt{35}}=155152.06

So on this case the 95% confidence interval would be given by (144847.94;155152.06)    

3 0
4 years ago
Easy question.. giving brainliest<br> x/16 = 10/36<br> x=_
irina [24]

Answer:

x=40/9

Step-by-step explanation:

\frac{x}{16}  =  \frac{10}{36}  |first \: you \: cross \: multiply|  \\ x(36) = 16(10)  |open \: bracket  |  \\ 36x = 160 |divide \: both  \: side \:by \: 36 |  \\  \frac{36x}{36}  =  \frac{160}{36}  \\ x = \frac{40}{9}

6 0
4 years ago
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