# What is the future of $2200 invested for nine months at 4.25% compounded semiannually? Select one: a:$2270 b:$2341.73 c:$2234>97 d:$2269.76 # What is the future of$2200 invested for nine months at 4.25% compounded semiannually? Select one: a:$2270 b:$2341.73 c:$2234>97 d:$2269.76

Question
Upper Level Math
What is the future of $2200 invested for nine months at 4.25% compounded semiannually? Select one: a:$2270
b:$2341.73 c:$2234>97
d:$2269.76 ## Answers (1) 2020-11-15 compound interest formula $$p=a(1+r/n)nt$$ Where A=present value of investment P=future value r=rate of interest n=number of times interest compound in a period t=time period Given A=$2200
r=4.25%=0.0425
n=2 of compound semi annually
$$t=(9/12)yrs$$
$$p=2200(1+(0.0425/2)^(2*9/(12))$$
p=$2270.5 ### Relevant Questions asked 2021-05-25 What are the future value and the interest earned if $$3000$$ is invested for 6 years at $$8\%$$ compounded quarterly? asked 2021-02-02 A payment of 1500$ is due in three months.Find the equivalent value at nine months if the interest rate is 4%
select one
a:$1500 b:$1530
c:$1560 d:$1470
How long does it take for an investment to double in value if it is invested at $$14\%$$ compounded quarterly and compounded continuously?
a) At $$14\%$$ compounded quarterly, the investment doubles in how many years?
b) At $$14\%$$ compounded continuously, the investment doubles in how many years?
Find the present value of$5436.22 due in four years and three months at 4% compounded annually. a:$4601.56
b:$4592.55 c:$4646.90
d:\$6422.27
A 2.4-kg object is attached to a horizontal spring of forceconstant k=4.5 kN/m. The spring is stretched 10 cm fromequilibrium and released. Find (a) the frequency of themotion, (b) the period, (c) the amplitude, (d) the maximum speed,and (e) the maximum acceleration. (f) When does the objectfirst reach its equilibrium position? What is itsacceleration at this time?
Two identical blocks placed one on top of the other rest on africtionless horizontal air track. The lower block isattached to a spring of spring constant k= 600 N/m. Whendisplaced slightly from its equilibrium position, the systemoscillates with a frequency of 1.8 Hz. When the amplitude ofoscillation exceeds 5 cm, the upper block starts to slide relativeto the lower one. (a) What are the masses of the twoblocks? (b) What is the coefficient of static frictionbetween the two blocks?
A 2.00 kg ball is attached to a ceiling by a 0.76 m longstring. The height of the room is 3.18 m. What is the gravitationalpotential energy associated with the ball relative to (a) theceiling ? (b) the floor? (c) a point at the same elevation as theball?
$$\displaystyle{\left({x}^{{4}}{y}^{{5}}\right)}^{{\frac{{1}}{{4}}}}{\left({x}^{{8}}{y}^{{5}}\right)}^{{\frac{{1}}{{5}}}}={x}^{{\frac{{j}}{{5}}}}{y}^{{\frac{{k}}{{4}}}}$$
In the equation above, j and k are constants. If the equation is true for all positive real values of x and y, what is the value of j - k?
A)3
B)4
C)5
D)6

A random sample of $$n_1 = 14$$ winter days in Denver gave a sample mean pollution index $$x_1 = 43$$.
Previous studies show that $$\sigma_1 = 19$$.
For Englewood (a suburb of Denver), a random sample of $$n_2 = 12$$ winter days gave a sample mean pollution index of $$x_2 = 37$$.
Previous studies show that $$\sigma_2 = 13$$.
Assume the pollution index is normally distributed in both Englewood and Denver.
(a) State the null and alternate hypotheses.
$$H_0:\mu_1=\mu_2.\mu_1>\mu_2$$
$$H_0:\mu_1<\mu_2.\mu_1=\mu_2$$
$$H_0:\mu_1=\mu_2.\mu_1<\mu_2$$
$$H_0:\mu_1=\mu_2.\mu_1\neq\mu_2$$
(b) What sampling distribution will you use? What assumptions are you making? NKS The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
(c) What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate.
(Test the difference $$\mu_1 - \mu_2$$. Round your answer to two decimal places.) NKS (d) Find (or estimate) the P-value. (Round your answer to four decimal places.)
(e) Based on your answers in parts (i)−(iii), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level \alpha?
At the $$\alpha = 0.01$$ level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
At the $$\alpha = 0.01$$ level, we reject the null hypothesis and conclude the data are statistically significant.
At the $$\alpha = 0.01$$ level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the $$\alpha = 0.01$$ level, we reject the null hypothesis and conclude the data are not statistically significant.
(f) Interpret your conclusion in the context of the application.
Reject the null hypothesis, there is insufficient evidence that there is a difference in mean pollution index for Englewood and Denver.
Reject the null hypothesis, there is sufficient evidence that there is a difference in mean pollution index for Englewood and Denver.
Fail to reject the null hypothesis, there is insufficient evidence that there is a difference in mean pollution index for Englewood and Denver.
Fail to reject the null hypothesis, there is sufficient evidence that there is a difference in mean pollution index for Englewood and Denver. (g) Find a 99% confidence interval for
$$\mu_1 - \mu_2$$.
lower limit
upper limit
(h) Explain the meaning of the confidence interval in the context of the problem.
Because the interval contains only positive numbers, this indicates that at the 99% confidence level, the mean population pollution index for Englewood is greater than that of Denver.
Because the interval contains both positive and negative numbers, this indicates that at the 99% confidence level, we can not say that the mean population pollution index for Englewood is different than that of Denver.
Because the interval contains both positive and negative numbers, this indicates that at the 99% confidence level, the mean population pollution index for Englewood is greater than that of Denver.
Because the interval contains only negative numbers, this indicates that at the 99% confidence level, the mean population pollution index for Englewood is less than that of Denver.