An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?
Use the calculator provided and round your answer to the nearest dollar.
5
?

Answers

Answer 1

Answer:

Total cost of the loan $55,969.8.-

Step-by-step explanation:

Giving the following information:

An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually.

To calculate the total cost of the loan, we need to use the Future Value (FV) formula:

FV= PV*(1 + i)^n

PV= loan

i= interest rate

n= number of periods

FV= 32,000*(1.0575^10)

FV= $55,969.8


Related Questions

help me please thank you

Answers

i cant see your photo

Step-by-step explanation:

ok this is sort of simple. 3.5*2=7 which is the area of the rectangle. you know that the b side of the triangles is equal to 1, so we can do 3.5*1=3.5/2 1.75*2 7+3.5=

10.5ft sq.

A countries population in 1993 was 253 million. In 1999 it was 237 million. Estimate the population in 2007 using the exponential growth formula. round your answer to the nearest million.
Note: When solving for k, round to four decimal places.

Answers

Answer:

240 million

Step-by-step explanation:

I took the application

Help me. I need it lol

Answers

Answer: Choice C

The probability of getting all heads is the same as the probability of getting all tails

=========================================================

Explanation:

H = heads

T = tails

In the first row, we have HHH to signify three heads. This shows up 1 time out of 8 outcomes total (each row is a different outcome). The probability of getting HHH is 1/8.

In the last row, TTT means we got three tails. Like with HHH, it only shows up once out of eight times, so the probability of getting TTT is 1/8 as well.

Therefore, both HHH and TTT have the same probability. This is because both sides of the coin have equal chances to land on. If the coin was more biased toward heads for example, then HHH and TTT would have different probabilities.

A. 35
B. 96
C. 51
D. 80

Answers

I think it would be A

Answer:

Its D

Step-by-step explanation:

find the slope(4,9),(1,6)
plz help

Answers

Answer:

slope: m = 1

Step-by-step explanation:

PLS HELP!
Find the value of the trig ratio.

Answers

Answer:

D

Step-by-step explanation:

Cos(Z) is made up of two lines The adjacent side and the hypotenuse.

The hypotenuse is the line that is opposite to  the right angle. In this case it is 37

The adjacent side is the other line making up the reference angle which is Z in this case. In this case it is 35

Cos(Z) = 35/37

Suppose that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $500, $250, and $100. How many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class

Answers

Answer:

80 distributions of the three scholarship are possible.

Step-by-step explanation:

Given that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $ 500, $ 250, and $ 100, to determine how many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class you must perform the following calculation:

4 x 5 x 4 = X

20 x 4 = X

80 = X

Therefore, 80 distributions of the three scholarship are possible.

put into algebraic expression and then Coefficient/Variable

1. 5 less than x is 20
2. the sum of x and twice y equals -6
3. the product of 5 and x squared results in 12

Answers

Answer:

1. x - 5 = 20

2. x + 2y = -6

3. 5x² = 12

Step-by-step explanation:

1. 5 less than x is 20

x - 5 = 20

2. the sum of x and twice y equals -6

x + 2y = -6

3. the product of 5 and x squared results in 12

5x² = 12

Fernando has a bag of beads in five different colors: purple, blue, green, green, orange, and gray. The table below shows the results of Fernando randomly taking 630 beads, one bead at a time, recording its color and replacing the bead inside the bag.

Purple: 87
Blue: 214
Green: 40
Orange: 166
Gray: 124

Fernando takes 45 beads at random. What is the most likey number of orange beads he takes?

Answers

Answer: 6

Step-by-step explanation:

What is the distance between the points (6, 4) and (-3, 17)?
A) 22
B) √250
C) 125
D) √88

Answers

D IS THE CORRECT ANSWER

what is the midpoint of AB with A(-1, 5) and B(6, -3) A (-4, 3.5) B (1, 2.5) C (2.5, 1) D (3.5, -4)

Answers

Answer:

Option C (2.5, 1) is the right alternative.

Step-by-step explanation:

The given points are:

A = (-1, 5) = (x₁, y₁)

B = (6, -3) = (x₂, y₂)

Now,

The midpoint on X-axis is:

= [tex]\frac{x_1+x_2}{2}[/tex]

= [tex]\frac{-1+6}{2}[/tex]

= [tex]\frac{5}{2}[/tex]

= [tex]2.5[/tex]

The midpoint on Y-axis is:

= [tex]\frac{y_1+y_2}{2}[/tex]

= [tex]\frac{5+(-3)}{2}[/tex]

= [tex]\frac{5-3}{2}[/tex]

= [tex]\frac{2}{2}[/tex]

= [tex]1[/tex]

Thus the midpoint of AB is "2.5, 1".

1) A traditional die is a cube with each of its six sides representing the numbers from 1 to 6. Mr. Dicey customized a die by replacing each number with its reciprocal (reciprocal of x is 1/x ). What is the expected value if you roll the customized die for 6 times?

2) A game is played by throwing 3 dice. You will win in this game if the summation of the scores of these 3 dice is 3, 4, 17, 18.

What is the variance of your expected values?

3) Two dice are rolled. [A die has six sides, each representing the score from 1 to 6]

What is the expected value if you roll these two dice for 6 times?

Answers

Answer:

1) [tex]\frac{2}{5}[/tex]

2) 49.225

3) [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

1) To find the expected value of the dice we can use the following equation:

[tex]E(x)=x_{1}*P(x_{1})+x_{2}*P(x_{2})+...+x_{n}*P(x_{n})[/tex]

So in our problem the values x will be: 1/1, 1/2, 1/3, 1/4, 1/5 and 1/6 and the probavility for all values is 1/6 so the expected values will be:[tex]E(x)=(\frac{1}{1} *\frac{1}{6}) +(\frac{1}{2} *\frac{1}{6}) +(\frac{1}{3} *\frac{1}{6})+(\frac{1}{4} *\frac{1}{6})+(\frac{1}{5} *\frac{1}{6})+(\frac{1}{6} *\frac{1}{6})[/tex]

[tex]E(x)=0.167+0.083+0.056+0.042+0.033+0.028=0.409\approx \frac{2}{5}[/tex]

2) To find the variance of the expected values we can use the equation:

[tex]Var(x)=\frac{\sum_{i=1}^{n}(x_{i}-\overline{x})^{2} }{n}[/tex]

So for our problem will be:

[tex]Var(x)=\frac{(3-10.5)^2+(4-10.5)^2+(17-10.5)^2+(18-10.5)^2}{4}[/tex]

[tex]Var(x)=\frac{56.25+42.25+42.25+56.25}{4}[/tex][tex]Var(x)=\frac{196.9}{4}=49.225[/tex]

3) To find the expected value of the dice we can use the following equation:

[tex]E(x)=x_{1}*P(x_{1})+x_{2}*P(x_{2})+...+x_{n}*P(x_{n})[/tex]

So in our problem the values x will be: 1, 2, 3, 4, 5 and 6 and the probavility for all values is 1/6 so the expected values will be:[tex]E(x)=(1*\frac{1}{6}) +(2 *\frac{1}{6}) +(3 *\frac{1}{6})+(4 *\frac{1}{6})+(5 *\frac{1}{6})+(6 *\frac{1}{6})[/tex]

[tex]E(x)=0.17+0.33+0.5+0.67+0.83+1=3.5\approx \frac{7}{2}[/tex]

Use the given information to determine the exact trigonometric value.

Answers

its C

Step-by-step explanation:

- 2\sqrt5

this is the tan©

but you have to multiply by sqrt 5

so its become -2sqrt5/5

I know one answer is C

Answers

Answer:

A&C

Step-by-step explanation:

As, you said, the first answer is C. Now, we are given seven, and when we are adding a negative number, we move in the direction of left, and since we are moving by 7, we would be moving 7 to the left. Therefore, the other answer is A.

missing angles in triangle help

Answers

Answer:

which one?

Step-by-step explanation:

Answer:

E=35 complete the 90

G=55 complete the 180

F=35 complete the 90

J=15 complete the 90

H = 45 complete the 180

I=45 complete the 90

M=120 complete the 180

K=15 complete the 180

L=75 complete the 90

Q=55 complete the 90

R=45 complete the 180

S=42 complete the 90

T=42 complete the 180

P=21 complete the 90

O=69 complete the 180

N=21 complete the 90

A and B and C = 60

U =69

D=42 complete the 180

hopefully i didnt miss any thing and do it correctly

An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.

Which number range would be needed to label the students correctly?

0–4
1–5
00–75
01–75

Answers

Answer: The answer is 01 - 75.

Step-by-step Explanation: 0 - 4 and 1 - 5 aren't enough. 00 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.

1-75 is the  range needed to label the students correctly.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given,

An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques.

There are 75 students in the school who can participate in the experiment.

0 - 4 and 1 - 5 aren't enough.

0 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.

Hence, 1-75 is the  range needed to label the students correctly.

To learn more on Statistics click:

brainly.com/question/29342780

#SPJ2

Question
A bottle of medicine contained 300 mL. Convert this to liters.
Provide your answer below:
L

Answers

Answer:

0.3L

Step-by-step explanation:

1000mL = 1L

300mL = 0.3L

7) At the beginning of the month, Kiki had $300 in her debit account. She
made debit purchases for $125 and $250 and made one deposit of $175.
Which one of the following best represents her debit account balance
after these transactions? *

Answers

Answer:

$100 left over

Step-by-step explanation:

well she starts off with $300 but then spends $125 so thats

300-125= 175 she made another $250 purchase so we subtract again then added $175

175+175-250 = $100

if you average 10 miles per hour, how long will it take to go 8 miles​

Answers

Answer:

48 minutes

Step-by-step explanation:

the length of a rectangle is 39cm less than five times its width. find the dimensions if the perimeter is 414cm. 2L+2W = P

Answers

Answer:

41 cm and 166 cm

Step-by-step explanation:

As per question we have:

2(l + w) = 414 ⇒ l + w = 207l = 5w - 39

Solve it for l by substitution:

5w - 39 + w = 2076w = 207 + 396w = 246w = 246/6w = 41

Find l:

l = 207 - 41 = 166

10 dan büyük doğal sayılar 50 den küçük doğal sayılar 7 nın katı olan pozitif tam sayilar​

Answers

Answer:

yes lul

Step-by-step explanation:

Corgurent or supplementary

Answers

Answer:

Congruent:

B, E, F, G

The rest are supplementary.

Step-by-step explanation:

Mark me Brainliest?

Adam can buy 3 buckets of popcorn and 3 drinks for $25.50. Tanya
can buy 2 buckets of popcorn and 3 drinks for $19.50. How much
is one bucket of popcorn?
$25.50
O $4.75
$6.00
O $3.00

Answers

Answer:

Let price of drink be x

price of tub y

You have 4x+2y=32.5 (1) and

x = y -3.5 (2)

Plug for x from (2) into (1):

4(y-3.5) + 2y = 32.5

4y -14 +2y = 32.5

6y = 14+32.5

y = (46.5)/6 = $7.75 the price of tub

x= y-3.5 = 7.75 - 3.5 = $4.75

solve the system of linear equations by substitution x=17-4y y=x-2

Answers

9514 1404 393

Answer:

  (x, y) = (5, 3)

Step-by-step explanation:

We can use the second equation to substitute for y in the first.

  x = 17 -4(x -2)

  5x = 25 . . . . . . . . eliminate parentheses, add 4x

  x = 5

  y = 5 -2 = 3

The solution is (x, y) = (5, 3).

What is the greatest common factor of 16, 36, and 28?

Answers

It’s gotta be 4 because 8 dosent go into 28 and 6 dosent go into 28

Tickets to the end of year carnival are $18 for 4 tickets. What
is the cost of 9 tickets?

Answers

Answer:

$40.50

Step-by-step explanation:

Create a proportion using the cost in the numerator and number of tickets in the denominator.

[tex]\frac{18}{4} =\frac{x}{9}[/tex]

cross multiply

162=4x

divide by 4 on both sides

x=40.5

$40.50

$40.50

Step-by-step explanation:

4×2=8 tickets

18×2= 36 dollars

1/4 of 18 dollars is 4.5

so 36+4.5= $40.50

This could be wrong-

Which of the following graphs shows a pair of lines that represent the equations with a solution (−2, 5)?

Answers

Answer:

The first one (top)

Step-by-step explanation:

The coordinate plane works with coordinates being x, y, and so if x is -2, then it would be to the left of 0. 5 is above 0, and you see the 2 lines intersecting at that point.

An experiment is conducted to determine whether intensive tutoring (covering a great deal of material in a fixed amount of time) is more effective than paced tutoring (covering less material in the same amount of time). Two randomly chosen groups are tutored separately and then administered proficiency tests. The data collected and summarized below: Group1 (the intensive group) consisted of 15 students and resulted in an average grade of 49.55 with a standard deviation of 10. group 2 (the paced group) consisted of 17 students and resulted in an average grade of 42.29 with a standard deviation of 6.52. Assume that the population variances of both groups are different. Find the test statistic to test if intensive tutoring is more effective than paced tutoring at the significance level of 0.01.

Answers

Answer:

The test statistic is t = 2.33.

Step-by-step explanation:

Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group1 (the intensive group) consisted of 15 students and resulted in an average grade of 49.55 with a standard deviation of 10

This means that:

[tex]\mu_1 = 49.55, s_1 = \frac{10}{\sqrt{15}} = 2.582[/tex]

Group 2 (the paced group) consisted of 17 students and resulted in an average grade of 42.29 with a standard deviation of 6.52.

This means that [tex]\mu_2 = 42.49, s_2 = \frac{6.52}{\sqrt{17}} = 1.581[/tex]

Test if intensive tutoring is more effective than paced tutoring:

At the null hypothesis, we test that it is the same, that is, the means are the same and the subtraction is 0. So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternate hypothesis, we test that it is more effective, that is, the subtraction of the means is larger than 0. So

[tex]H_a: \mu_1 - \mu_2 > 0[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]X = \mu_1 - \mu_2 = 49.55 - 42.49 = 7.06[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{2.582^2+1.581^2} = 3.03[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{s}[/tex]

[tex]t = \frac{7.06 - 0}{3.03}[/tex]

[tex]t = 2.33[/tex]

The test statistic is t = 2.33.

To determine the price (P) in dollars for each necklace she makes, Mei uses this equation:
P = 15h + c
If h is the number of hours it takes to make a necklace and c is the cost of the materials,
what price would Mei charge for a necklace that takes 8 hours and $40 in materials to
make?

Answers

Answer:

$160

Step-by-step explanation:

P = 15h + c

takes 8 hours and $40 in materials

P = 15(8) + 40

P = 120 + 40

P = 160

Answer:

160

Step-by-step explanation:

PEMDAS 15(8) + 40 = 160

An isosceles triangles has two angles that equal x degrees. The third angle is 70 degrees. What is the value of x?
75 degrees
55 degrees
65 degrees
35 degrees

Answers

Answer:

2x+70° = 180°

=> 2x = 110°

=> x =55°

hope it helps you

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