You want to be able to withdraw the specified amount periodically from a payout annuity with the given terms. Find how much the account needs to hold to make this possible. Round your answer to the nearest dollar. Regular withdrawal: $1200 Interest rate: 2.5% Frequency monthly Time: 26 years
what is the account balance?​

Answers

Answer 1

Step-by-step explanation:

principal=?. interest=$1200. rate =2. 5%. time=26 NOW, principal=I×100/T×R= $1200×100/26×2. 5=1846. 15

Answer 2

9514 1404 393

Answer:

  $275,098.25

Step-by-step explanation:

The principal amount can be found using the annuity formula.

 A = P(r/12)/(1 - (1 +r/12)^(-12t))

where A is the monthly payment, P is the principal amount, r is the annual interest rate, and t is the number of years.

Solving for P, we have ...

  P = A(12/r)(1 -(1 +r/12)^(-12t)) = 1200(12/0.025)(1 -(1 +.025/12)^(-12·26))

  = $275,098.25

The account balance needs to be $275,098.25.


Related Questions

What is the domain of f(x)=(1/2)^x

Answers

Answer:

all real numbers

Algebra Examples

The domain of the expression is all real numbers except where the expression is undefined

Hello!

The domain of an exponential function is the crowd of all real numbers, so: x ∈ ℝ.

Good luck! :)

I need help with this.

Answers

Answer:

A and b Are in quadrant 2. F and D are in quadrant 1. F is in quadrant 3 and C is in quadrant 4

Step-by-step explanation:

each quadrant is in the boxes and the question is asking what is each  coordinate is in what quadrant

I really need help please

Answers

9514 1404 393

Answer:

  60

Step-by-step explanation:

The minimum number required is the least common multiple (LCM) of 15 and 4. The numbers 15 and 4 have no common factors, so their LCM is their product.

  15×4 = 60 strands are required

Midsegments geometry acellus pls helppfpfpff

Answers

Answer:

BC = 28

Step-by-step explanation:

The midsegment DF is half the measure of the third side BC , then

BC = 2 × DF = 2 × 14 = 28

if TS is a midsegment of PQR find TS

Answers

Answer:

B. 7

Step-by-step explanation:

Recall: according to thee Mid-segment Theorem of a triangle, the Mid-segment of a triangle is half the length of the base of the triangle

Base length of the traingle, RQ = 14 (given)

Mid-segment = TS

Therefore,

TS = ½(RQ)

Plug in the value

TS = ½(14)

TS = 7

Find the value of each expression:
1) 14 – 22
2) (10 + 5) – (32 – 3)


I need help pleaseeee

Answers

the first one is -8 and the second one is -14 because (15) - (29) = -14

Choose the best graph that represents the linear equation:
y + 3 = 0
Graph A
On a coordinate plane, a line goes through (0, 3) and (1, 3).
Graph B
On a coordinate plane, a line goes through (negative 3, 0) and (negative 3, 1).
Graph C
On a coordinate plane, a line goes through (0, negative 3) and (1, negative 3).
Graph D
On a coordinate plane, a line goes through (0, 0) and (1, negative 3).
a.
Graph A
c.
Graph C
b.
Graph B
d.
Graph D



PLEASE HELP!!! Please select the best answer from the choices provided


A
B
C
D

Answers

Graph B is the best graph that represents the linear equation

Answer:

m=2b=1y=2x+1

just enter it

A recipe for chocolate chip cookies calls for 3 1/3 cups of flour. If you are making 2 1/4 recipes, how many cups of flour are needed.

Answers

Answer:

THIS IS THE ANSWER

Step-by-step explanation:

1 1/2 = 3/2

2 1/3 = 7/3

3/2 * 7/3 = 21/6 = 3 3/5 = 3 1/2 cups

PLEASE MARK ME AS A BRAINLIST!

The highway department is testing two types of reflecting paint for concrete bridge end pillars. The two kinds of paint are alike in every respect except that one other is yellow. The orange paint is applied to 12 bridges, and the yellow paint is applied to 12 bridges. After a period of 1 year, reflectometer readings were made end pillars. (A higher reading means better visibility.) For the orange paint, the mean reflectometer reading was x19.4, with standard deviation s1-2.5. For the mean was X2-6.5, with standard deviation S2-2.4. Based on these data, can we conclude that the yellow paint has less visibility after 1 year?
Use a 10% level What are we testing in this problem?
a. difference of means
b. single proportion
c. difference of proportions
d. single mean
e. paired difference

Answers

Answer:

a. difference of means

Step-by-step explanation:

Given that :

Mean , x = 9.4

Standard deviation, [tex]s.d_1[/tex] = 2.5

Number, [tex]n_1[/tex] = 12

Mean, y = 6.5

standard deviation, [tex]s.d_2[/tex] = 2.4

Number, [tex]n_2[/tex] = 12

The null hypothesis is : [tex]$H_0: \mu_1=\mu_2$[/tex]

The alternate hypothesis is : [tex]$H_1: \mu_1>\mu_2$[/tex]

Level of significance, [tex]\alpha[/tex] = 0.1

From the [tex]\text{standard normal table, right tailed,}[/tex] [tex]$t_{1/2}$[/tex] = 1.363

Since out test is right tailed.

Reject [tex]H_0[/tex], if [tex]$T_0>1.363$[/tex]

We use the test statics,

[tex]$t_0=\frac{(x-y)}{\sqrt{\frac{s.d_1}{n_1}+\frac{s.d_2}{n_2}}}$[/tex]

[tex]$t_0=\frac{(9.4-6.5)}{\sqrt{\frac{6.25}{12}+\frac{5.76}{12}}}$[/tex]

[tex]$t_0=2.899$[/tex]

[tex]$|t_0|=2.899$[/tex]

[tex]\text{Critical value}[/tex]

The value of [tex]$|t_{1/2}|$[/tex] with minimum [tex]$\left(n_1-1,n_2-1)$[/tex] that is 11 df is 1.363

We go [tex]$|t_0|=2.899$[/tex] and [tex]$|t_{1/2}|$[/tex] = 1.363

Decision making:

Since the value of [tex]|t_0|>|t_{1/2}|$[/tex]  and we reject the [tex]H_0[/tex]

The p-value : right tail [tex]H_a:(p>2.8988)[/tex]

                                      = 0.00724

Therefore the value of [tex]$p_{0.1} > 0.00724$[/tex], and so we reject the [tex]H_0[/tex]

Thus we are testing 'the difference of means" in this problem.

Optimal-Eats blender has a mean time before failure of 37 months with a standard deviation of 5 months, and the failure times are normally distributed. What should be the warranty period, in months, so that the manufacturer will not have more than 7% of the blenders returned

Answers

Answer:

The warranty period should be of 30 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Optimal-Eats blender has a mean time before failure of 37 months with a standard deviation of 5 months.

This means that [tex]\mu = 37, \sigma = 5[/tex]

What should be the warranty period, in months, so that the manufacturer will not have more than 7% of the blenders returned?

The warranty period should be the 7th percentile, which is X when Z has a p-value if 0.07, so X when Z = -1.475.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.475 = \frac{X - 37}{5}[/tex]

[tex]X - 37 = -1.475*5[/tex]

[tex]X = 29.6[/tex]

Rounding to the nearest whole number, 30.

The warranty period should be of 30 months.

John's age 4 years ago, if he will be y years old in 5 years

Answers

9514 1404 393

Answer:

  y -9

Step-by-step explanation:

From 4 years ago until 5 years from now, John will age 9 years. That is, his age 4 years ago is 9 years less than it will be in 5 years.

John's age 4 years ago is y-9 years.

If the two lines below are perpendicular and the slope of the red line is -7,
what is the slope of the green line?
10
10
A. 7
ОО
B. -7
C. 1

Answers

Answer:

C. ⅐

Step-by-step explanation:

Recall: the slope of a line that is perpendicular to another is the negative reciprocal of the slope of the other line that it is perpendicular to.

Thus:

Slope of red line = -7

The green line that is perpendicular to the red line will have a slope that is the negative reciprocal of -7.

Negative reciprocal of -7 = ⅐

The slope of the green line is therefore ⅐

Can someone help me please..

Answers

Answer:

linear function

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The graph is a straight line, so it's a linear function.

Answer: B

Tara makes 30 cups of donut topping by mixing sugar and cinnamon. The ratio of sugar to cinnamon is 3:2

How much sugar did Tara use in the donut topping?

Answers

Answer:

18

Step-by-step explanation:

3:2 means 3/2 or 3÷2

but its better to leave it as

3/2

The distribution of the number of apples trees a farmer can plant each day is bell-shaped and has a mean of 62 and a standard deviation of 8. Use the empirical rule to help you answer the following. What is the approximate percentage of trees planted between 38 and 68

Answers

Answer:

The empirical rule, the approximate percentage of trees planted between 38 and 68 is 99.7%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 62, standard deviation of 8.

What is the approximate percentage of trees planted between 38 and 86?

38 = 62 - 3*8

86 = 62 + 3*8

So within 3 standard deviations of the mean, which, by the empirical rule, the approximate percentage of trees planted between 38 and 68 is 99.7%.

A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 90% reliable. In other words, if an individual lies, there is a 0.90 probability that the test will detect a lie. Let there also be a 0.045 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, "the individual is telling the truth," to answer the following questions
a. What is the probability of a Type I error? (Round your answer to 3 decimal places.)
b. What is the probability of a Type II error? (Round your answer to 2 decimal places.

Answers

Answer:

A) P(Type I error) = 0.045

B) P(Type II) error = 0.1

Step-by-step explanation:

We are told that the reliability of the test is 90% reliable.

Also, we are told that the probability that the test erroneously detects a lie even when the individual is actually telling the truth is 0.045.

Thus;

A) To calculate the probability of type I error:

From statistics, in this question we can say that the probability of a type I error is the probability that the test will erroneously detect a lie even though the individual is actually telling the truth. Thus;

Probability of (type I error) = P(rejecting true null) = 0.045

B) For probability of type II error, it is defined as the error where we accept a null hypothesis that is false. We can say that it produces a false negative and the formula is;

P(Type II) error = 1 - reliability

Reliability in the question is 0.90

Thus;

P(Type II) error = 1 - 0.9

P(Type II) error = 0.1

Question 1 of 10
One advantage of a long-term loan compared to a short-term loan is that a
long-term loan:
A. does not require the borrower to have a good credit score.
O
B. can be paid off in full without the borrower paying any interest.
C. does not force the borrower to make payments every month.
D. allows a person to borrow more money at a lower interest rate.

Answers

Answer:

D. allows a person to borrow more money at a lower interest rate

2•^2=?

A) -4

B) 1/4

C) 4

Answers

B) 1/4
Explanation - I’m smart

Answer:

1/4.

Step-by-step explanation:

2^-2 = 1/2^2

= 1/4.

Use the quadratic formula to find the solutions to the equation.
3x^2-10x+5=0

Answers

Answer:

option a is correct by using quadratic formula

Solve y = -7(-13)

I'm giving 30 points!

Answers

y = -7(-13)

=> y = -7 × (-13)

= y = 91

HW HELP ASAP PLZZZZZ


Answers

Answer:

p = 15/x

x= -3

Step-by-step explanation:

For the first problem, we can expand the equation to 4px+4=64

then simplify it to:

4px=60

then divide 4x from both sides of the equation

p=60/4x

then simplify:

p=15/x

For the second problem:

plug in -5 for p so the equation would look like

4(-5x +1)=64

simplify

-20x=60

x= -3

A teacher is paid an annual salary of $37.165. What is her gross monthly salary.

Answers

Answer:

3.01

Step-by-step explanation:

To Find :-

Monthly salary .

SOLUTION :-

=> Monthly salary = $ 37.165/12= $ 3.01

5 times a number is 110 less than 7 times that number

Answers

Answer:

55

Step-by-step explanation:

let the number=x

5x=7x-110

7x-5x=110

2x=110

x=110/2=55

what is completely factored form or this expression?

y^2-12y+32

a.(y+4)(y+8)
b.(y-4)(y-8)
c.(y+18)(y+2)
d.(y-18)(y-2)

Answers

Answer :)

[tex]\sf{y^{2}-12y+32 }[/tex]

[tex]\sf{y^{2}-(8+4)y+32 }[/tex]

[tex]\sf{y^{2}-8y-4y+32 }[/tex]

[tex]\sf{ y(y-8)-4(y-8) }[/tex]

[tex]\sf{(y-8)(y-4) }[/tex]

[tex]\sf{(y-4)(y-8) }[/tex]

[tex]\\\\\\[/tex]

Therefore

[tex]\sf{option~ B~ is ~correct }[/tex]

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

Answer:

(y-4) (y-8)

Step-by-step explanation:

y^2-12y+32

What two numbers multiply to 32 and add to -12

-8*-4 = 32

-8+-4 = -12

(y-4) (y-8)

Is AABC-ADEF? If so, name which similarity postulate or theorem applies.
75
A. Similar - SSS
B. Similar - AA
0
C. Similar - SAS
D. Cannot be determined

Answers

Answer:

B. Similar - AA

Step-by-step explanation:

Two angles in ∆ABC are congruent to two corresponding angles in ∆DEF. Thus, it follows that the third pair of angles of both triangles would also be congruent.

Therefore, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.

This satisfies the AA Similarity Criterion. Therefore, ∆ABC ~ ∆DEF by AA.

The yield in bushes per acre is related to the average temperature. The attached sample data was obtained in a recent study. The least-square regression equation for yield in bushes and the average temperature is
Region Temperature Yield (in bushes per acre)
1 4 3
2 8 7
3 10 8
4 12 10
5 9 8
6 6 4

Answers

Answer:

y = 0.9143x - 0.8

Step-by-step explanation:

Given the data :

Region Temperature Yield (in bushes per acre)

4 ______ 3

8 ______ 7

10 _____ 8

12 _____ 10

9 ______ 8

6 ______ 4

Using technology, the least square regression equation obtained by fitting the data is :

y = 0.9143x - 0.8

Where ;

y = predicted Bush yield, predicted variable

x = Average temperature, dependent variable

The slope Coefficient = 0.9143

The intercept = - 0.8

Will give brainliest.

Answers

The answer is the second one

Answer: Assuming there isnt a fourth answer, the answer is the second choice.

Step-by-step explanation: Point A is located in the first quadrant, Point B is located at 3, -1/2 and Point C is reflected off the y axis, in the second choice.

What is the range of the table of values

Answers

Answer:

Range: { 0,3,5,7,9}

Step-by-step explanation:

The range is the values that y takes

Range: { 0,3,5,7,9}

Now we have to find,

The range of the table of values,

→ Range = ?

Then the range will be the numbers that is in the Y column.

→ Range = ?

→ Range = (value that Y takes)

→ Range = 0,3,5,7,9

Therefore, the range is 0,3,5,7,9.

There are 4 white and 5 red (indistinguishable) balls in a bag. Suppose you draw one ballout at a time without replacement and stop when you have drawn all the white (4 white) orall the red (5 red) balls. What is the probability that the last ball you drawn was a whiteball?

Answers

Answer:

5/9

Step-by-step explanation:

What we have in this question are four white balls and 5 red balls.

This is the sample space

[(4w,0R) (4w,1R)(4w,2R)(4w,3R)(4w,4R)(0w,5R)(1w,5R)(2w,5R)

So we have 9 possible sets of events

The event number with the last ball being white = 5

Probability of the last ball drawn being white = 5/9

= 0.56

A radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached to the tower 11 feet from the top and is to make an angle of 45° with the ground?​

Answers

Answer:

Step-by-step explanation:

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