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koban [17]
3 years ago
6

bridget recieved 1400 from her grandfather as a birthday gift she decided to put the money in an account to save for college the

account has a fixed rate of 5.4% compound semi annually how much money will be in the account after five years
Mathematics
1 answer:
Simora [160]3 years ago
5 0

Answer:

The amount received after 5 years is 1827.39

Step-by-step explanation:

The amount received by Bridget from his grandfather as the birthday gift = 1400 .

Since he wants to deposit it and save for college, he earns interest rate = 5.4%

He deposited this money for the years = 5 years.

Here, the Present value (PV) is = 1400

Interest rate ( r ) = 5.4% or 0.054

Since the interest rate is compounded semi annually, So, n = 10

Now if we calculate the future value of 1400 with interest rate 5.4 percent:

\text{The amount received after 5 years} = PV(1 + \frac{r}{2} )^{n} \\

= 1400(1 + \frac{0.054}{2})^{10} \\

= 1827.39

Therefore, 1827.39 will be the total money in his account after five years.

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Answer:

1.1  ithink

Step-by-step explanation:

6 0
3 years ago
A study by the National Athletic Trainers Association surveyed random samples of 1679 high school freshmen and 1366 high school
nekit [7.7K]

Answer:

We conclude that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids.

Step-by-step explanation:

We are given that a study by the National Athletic Trainers Association surveyed random samples of 1679 high school freshmen and 1366 high school seniors in Illinois.

Results showed that 34 of the freshmen and 24 of the seniors had used anabolic steroids.

Let p_1 = <u><em>proportion of Illinois high school freshmen who have used anabolic steroids.</em></u>

p_2 = <u><em>proportion of Illinois high school seniors who have used anabolic steroids.</em></u>

SO, Null Hypothesis, H_0 : p_1=p_2      {means that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids}

Alternate Hypothesis, H_A : p_1\neq p_2      {means that there is a significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids}

The test statistics that would be used here <u>Two-sample z test for</u> <u>proportions</u>;

                        T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~ N(0,1)

where, \hat p_1 = sample proportion of high school freshmen who have used anabolic steroids = \frac{34}{1679} = 0.0203

\hat p_2 = sample proportion of high school seniors who have used anabolic steroids = \frac{24}{1366} = 0.0176

n_1 = sample of high school freshmen = 1679

n_2 = sample of high school seniors = 1366

So, <u><em>the test statistics</em></u>  =  \frac{(0.0203-0.0176)-(0)}{\sqrt{\frac{0.0203(1-0.0203)}{1679}+\frac{0.0176(1-0.0176)}{1366} } }

                                     =  0.545

The value of z test statistics is 0.545.

Since, in the question we are not given with the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids.

3 0
3 years ago
Quadrilateral ABCD is inscribed in a circle<br> What is the measure of angle A?
Katen [24]

Answer:

Quadrilateral ABCD is inscribed in a circle, then

A + C = 180

=> 2x + 9 + 3x + 1 = 180

=> 5x = 170

=> x = 34

=> A  = 2 x 34 + 9 = 77 deg

Hope this helps!

:)

4 0
3 years ago
Read 2 more answers
What is the area of the following circle?
valkas [14]

Answer:

Area = 49π

Step-by-step explanation:

circle Area = π x (radius)²

Assuming d = 14 is the diameter (which the problem really should state explicitly, not leave you to assume), then the radius is half of that.

So r = 7, where 'r' is the radius.

Area = π x r² = π(7)² = π(49)

Area = 49π is the exact answer, so it is the one I prefer.

Area = 153.86 is the decimal you get if you multiply 49 x 3.14

Hope this helps.

4 0
3 years ago
Solve the system of equations by the addition method.<br> 1 - 3x = -5y - 8<br> 6x<br> 3y = -5
Advocard [28]

-3x = -5y -8~~~....(i) \\\\6x -3y = -5 ~~......(ii)\\\\\text{Multiply  equation (i) by 2 and do (i) + (ii):}\\\\2 \cdot (-3x) + 6x  -3y = 2(-5y-8)  + (-5)\\\\\implies -6x +6x -3y = -10y -16 -5 \\\\\implies -3y   = -10y -21\\\\\implies -3y +10y =-21\\\\\implies 7y = -21 \\\\\implies y = -\dfrac{21} 7 = -3\\\\\text{Substitute}~y =-3~ \text{in equation (ii):} \\\\6x - 3(-3) = -5\\\\\implies 6x +9  = -5\\\\\implies 6x = -5 -9 = -14\\\\\implies x = -\dfrac{14}6 = - \dfrac{7}3\\

\text{Hence}~ (x,y) = \left(-\dfrac 73, -3 \right)

3 0
2 years ago
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