Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account. What is Mr. Smith's account balance now? *

Answer:

The ira will contain $228,278.05 when he retires at age 65. This is 6.04 times the amount of money he deposited.

Step-by-step explanation:

In order to solve this problem, we can make use of the following formula:

\(FV=PMT[\frac{(1+i)^{n}-1}{i}]\)

Where:

FV= Future value of the ira

PMT= the amount of money you deposit each month

i= is the interest rate per period

n=number of periods

in this case we will assume the interest will be compounded each month.

So:

FV this is what we need to know.

PMT= $75  the amount he will deposit each month

t = 42 years,

this is 65-23=42

n=42 years * 12 months/year = 504 months

i=0.07/12

So we can now use the given formula:

\(FV=PMT[\frac{(1+i)^{n}-1}{i}]\)

\(FV=75[\frac{(1+\frac{0.07}{12})^{504}-1}{\frac{0.07}{12}}]\)

So we get:

FV=$228,278.05

which is the amount of money he will have after 42 years.

In total, he deposited:

$75*504months = $37,800

so he will have:

\(\frac{228,278.05}{37,800}=6.04\) times the amount of money he deposited throughout this time.

Answer:

C

Step-by-step explanation:

It doubles after every number in the sequence

Answer:

V = 1072.3 cm³

Step-by-step explanation:

Volume of a hemisphere = \(\frac{2}{3} \pi r^3\) [Because it's half of a sphere's volume]

V = \(\frac{2}{3} (3.14)(8)^3\)

V = \(\frac{2}{3} (3.14)(512)\)

V = \(\frac{3216.99}{3}\)

V = 1072.3 cm³

Answer:

the 4th and 6th one

Step-by-step explanation:

A function is when there are x- and y-values but each x value has only 1      y-value

Simple: If the x-value is repeated its not a function

Answer:

Step-by-step explanation:

1,2,3

Answer:

80

Step-by-step explanation:

t is important to note that a square of any non-zero integer is positive, and therefore there is no advantage in using negative integers instead of positive integers to attain the greatest difference of squares. So we will not consider negative integers.

The greatest value of a^2 - b^2 occurs when a^2 is at its largest and b^2 is at its smallest.

The larger a, the larger a^2:

8 ^ 2 = 64

9 ^ 2 = 81

10 ^ 2= 100

Since a^2 can have at most two digits, a=10 is too large, and so a=9 is the largest integral value of a we can use.

Now, b^2 is at its smallest when b is closest to zero on the number line (the further b gets from zero, the larger its square becomes):

2 ^ 2 = 4

1 ^ 2 =1

0 ^ 2 = 0

Remember to go back to the original problem sometimes, to make sure you are taking everything into account. It states b doesn't =0, and therefore the b=1 is the closest b can get to zero as an integer. So, the greatest difference between b^2 and a^2 is when b=1 and a=9, giving the result:

a^2-b^2 =9^2-1^2 =81-1= 80.

So, 80 is your answer.

Answer:

Antarctica's highest recorded temperature was 15 degrees.

Step-by-step explanation:

I am going to say that Antarctica highest recorded temperature is x.

I suppose there is a small typing mistake.

It is that the difference between Antarctica highest recorded temperature and this is 49.44.

So we have that x - (-34.44) = 49.44 instead of -34.44 - x = 49.44, which would lead to a highest temperature way lower than the one recorded in this winter.

So

x - (-34.44) = 49.44

x + 34.44 = 49.44

x = 49.44 - 34.44

x = 15

Antarctica's highest recorded temperature was 15 degrees.

Answer:

15 degrees

Step-by-step explanation:

The constant C added to the cosine of the sum of x and y gives the solution to the provided differential equation.

Learn More About Differential Equation: https://brainly.com/question/1164377

#SPJ11

Answer:

you forgot the question

Step-by-step explanation:

Answer:

where is the question? we need the question lol

In order to determine the value of Dtdr(G(T), we must first determine the derivative of R(T) with respect to T and then insert G(T) into the result of our calculation. If we know that R(T) = T2, 1T, 4t, and that G(T) = 2t6, then the value of Dtdr(G(T)) when assessed at T = 4 is -8, -2, 8.

In order to use the chain rule, we need to determine the derivative of R(T) with respect to T. This may be done by looking up the equation. When we take the derivative of each component, we get the following: dR(T)/dT = -2T, -1, and 4.

The next thing that we do is plug the formula G(T) = 2t6 into the derivative. We assess G(T) based on this value because T equals 4, which yields the following result: G(4) = 2(4)6 = 2.

Multiplying the derivative of R(T) with respect to T by G'(4), which is the derivative of G(T) with respect to T assessed at T = 4, allows us to determine Dtdr(G(T)). Since G(T) = 2t6, G'(T) = 2, and G'(4) = 2, we can conclude that G(T) = 2t6.

When the derivative of R(T) is multiplied by G'(4), the result is Dtdr(G(T)), which is equal to 2(4), -1, 4 * 2, which equals 8, -2, 8.

Because of this, the value of Dtdr(G(T)) when assessed at T = 4 is -8, -2, 8.

Learn more about derivative here:

https://brainly.com/question/25324584

#SPJ11

Rounding to the nearest whole number, the linear speed of a point on Uranus' equator is approximately 139,424 miles/day.

(a) To find the angular speed of a point on Uranus' equator, we need to convert the rotation period from hours to days and then calculate the angle rotated in one day.

In one day (24 hours), Uranus rotates:

24 hours ÷ 17.2 hours/rotation ≈ 1.3953 rotations

The angle rotated in one day is:

1.3953 rotations × 2π radians/rotation ≈ 8.7674 radians/day

So the angular speed of a point on Uranus' equator is approximately 8.7674 radians/day.

(b) To find the linear speed of a point on Uranus' equator, we can use the formula:

linear speed = radius × angular speed

where the radius is given as 15,881 miles and the angular speed is 8.7674 radians/day (from part (a)).

Substituting these values, we get:

linear speed = 15,881 miles × 8.7674 radians/day ≈ 139,424 miles/day

Rounding to the nearest whole number, the linear speed of a point on Uranus' equator is approximately 139,424 miles/day.

To know more about angular and linear speed , refer here :

https://brainly.com/question/14663644#

#SPJ11

Answer:

888sq. ft

Step-by-step explanation:

Volume of a rectangular prism = length * width * height

For the given diagram

area of the truck = area of the bigger + area of smaller prism

area of the bigger prism = 6 * 9 * 16

area of the bigger prism = 864sq. ft

Area of smaller prism = 2 * 2 * 6

Area of smaller prism = 24 sq. ft

Area of the figure = 864 + 24

Area of the figure = 888sq. ft

Answer: b) 7

Step-by-step explanation:

mean = average of the data

\(mean = \frac{sum of all terms}{total number of terms}\)

\(5 = \frac{5+10+2+1+x}{5}\\ 25 = 18+x\\\\25 - 18 = x\\\\7= x\)

Answer:

I believe 72

Step-by-step explanation:

For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\)  is  \($\sin^{-1}\frac{x}{a} + C$.\)

A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.

The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.

For given problem,

\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)

Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)

\($= \int d\theta$\)

\($= \theta + C$\)

Substituting back for\($x = a\sin\theta$:\)

\($= \sin^{-1}\frac{x}{a} + C$\)

Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)

Learn more about intergal here:

https://brainly.com/question/31109342

#SPJ1

Answer:

L=74

W=77

Step-by-step explanation:

Answer:

L=74 and W=77

Step-by-step explanation:

first the area of a rectangle is length of breath

A=L X W

4514= L X 61

61L=4514

L=4514/61

L=74m

b. perimeter =2(L + W)

338=2*92+ 2W

338=184+2W

2W=338-184

2W=154

W=154/2

W=74

The minimum sample size needed to estimate the population proportion p with 99% confidence is 1359.

What is Random sample?

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.

What is proportion?

A proportion is an equation that sets two ratios at the same value.

Given that;

p=18/200

95% means using 1.96

So, point estimate for p is ;

18/200+1.96*sqrt(18*182/200^3)

18/200-1.96*sqrt(18*182/200^3), 18/200+1.96*sqrt(18*182/200^3)

{0.0503372, 0.129663}

Using MoE equation:

.02=2.576*sqrt(18*182/200^2/n)

n=1358.6

n=1359

Hence, the population proportion p with 99% confidence is 1359.

Learn more about random variable click here:

https://brainly.com/question/17217746

#SPJ4

The Z distribution is a special case of the t distribution as the number of degrees of freedom approaches infinity.

The t distribution is a family of probability distributions that arise when estimating the mean of a population based on a sample. The shape of the t distribution depends on the degrees of freedom, which is a parameter related to the sample size.

When the number of degrees of freedom in the t distribution approaches infinity, the distribution approaches the standard normal distribution, which is denoted by the letter Z. The Z distribution has a mean of 0 and a standard deviation of 1.

The reason why the Z distribution is a special case of the t distribution is that the t distribution converges to the Z distribution as the number of degrees of freedom increases. In practical terms, as the sample size increases, the t distribution becomes more similar to the Z distribution.

Therefore, we can say that Z is a special case of t as the number of degrees of freedom approaches infinity because the t distribution approaches the Z distribution in shape and characteristics as the sample size becomes larger.

Learn more about standard deviation here:

https://brainly.com/question/29115611

#SPJ11

Answer:

all the possible y-values a function can have

Step-by-step explanation:

all the possible y-values a function can have when substituting the domain/x-values

Answer:

5 1/2 is your second answer :)

Answer:

\(A)5\frac{1}{2}\)

Step-by-step explanation:

To multiply a number and a mixed number, first convert the improper fraction to a mixed number. This can be done by multiplying the "number" part of the mixed number by the denominator (number underneath the fraction bar) and then adding the result to the numerator. After doing so, one can either multiply the improper fraction by the number, and then simplify the result, or one can cross simplify the number and the denominator, then multiply by the numerator.

\(4 * 1\frac{3}{8}\\\\4 * \frac{11}{8}\\\\=\frac{44}{8}\\\\= \frac{11}{2}\)

Now one must convert this improper fraction to a mixed number. One can do this by diving the numerator by the denominator, writing the result as the "number" part of the mixed number, and then writing the remainder as the numerator of the fraction.

\(5\frac{1}{2}\)

Answer:

5

Step-by-step explanation:

5 × $2 = $10 then add $3 for the 1 adult ticket. $13

Answer:

$2 for students

$3 for adults

$11 no more than $14 on 1 ticket

14 ÷ 2 = 7

14 ÷ 3 = 4

7 + 4 = 11

therefore 7 students and 4 adults can go on 1 ticket

The answer to this question is c.The use of a correlation coefficient.

The use of a correlation coefficient would tell you that an association claim is being made in a research study. A correlation coefficient is a statistical measure that shows the strength and direction of a relationship between two variables. It ranges from -1 to 1, with 0 indicating no relationship and -1 or 1 indicating a perfect negative or positive relationship, respectively.

A scatterplot or bar graph may be used to visually display the relationship between two variables, but they do not necessarily indicate that an association claim is being made. The measurement of two variables is necessary for any type of research study, but it does not inherently imply that an association claim is being made.

Interrogation of internal validity is a process used to ensure that the study's results accurately reflect the relationship between the variables being studied. It is important for any research study but does not specifically indicate that an association claim is being made.

Therefore,the answer to this question is c.The use of a correlation coefficient.

Know more about correlation coefficient here,

https://brainly.com/question/29704223

#SPJ11

Terms:  3x, 4, –7x,  –6

There are two kinds of like terms:  

                                                     3x and –7x

                                                      4 and –6

A one-sample t-test is conducted to determine if recent Miss America winners have a significantly different BMI compared to winners from the 1920s and 1930s. The test results fail to reject the null hypothesis, indicating that recent winners do not appear to be significantly different from those in the 1920s and 1930s.

To determine if recent Miss America winners have a significantly different BMI compared to winners from the 1920s and 1930s, a one-sample t-test can be conducted. Using the given sample, the sample mean BMI is calculated to be 18.5.

The null hypothesis is that the population mean BMI of recent winners is equal to 19.2. The alternative hypothesis is that the population mean BMI of recent winners is different from 19.2.

Assuming a significance level of 0.05 and using a two-tailed test, the calculated t-value is -2.08 and the corresponding p-value is 0.057.

Since the p-value is greater than the significance level, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that recent Miss America winners have significantly different BMI compared to winners from the 1920s and 1930s.

Learn more about one-sample t-test here: brainly.com/question/29548761

#SPJ1

Answer: (2,9)

Step-by-step explanation:

It lies in the region that is shaded both red and blue (representing the fact that it satisfies both inequalities).

Step-by-step explanation:

I hope this answer is helpful ):

1/36 (2.778%)

there is your answer

Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.

And, The table shows the same relationship for Jaleel's brownie recipe.

Hence, The equation for Angela's brownie recipe is,

Two points on graph are (4, 2) and (2, 1)

⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)

⇒ y - 2 = 1/2 (x - 4)

⇒ y - 2 = 1/2x - 2

⇒ y = 1/2x

And, The equation for Jaleel's brownie recipe is,

Two points on graph are (3/2, 1) and (3, 2)

⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)

⇒ y - 1 = 2/3 (x - 4)

⇒ y - 1 = 2/3x - 8/3

⇒ y = 2/3x - 8/3 + 1

⇒ y = 2/3x - 5/3

So, For Jaleel and Angela buy a 12-cup bag of sugar.

The equation for Angela's brownie recipe is,

⇒ y = 1/2x

⇒ y = 1/2 × 12

⇒ y = 6

The equation for Jaleel's brownie recipe is,

⇒ y = 2/3x - 5/3

⇒ y = 2/3 × 12 - 5/3

⇒ y = 19/3

Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1