An amount of  $48,000  is borrowed for  15  years at  7.75%  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.​

Answers

Answer 1

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$48000\\ r=rate\to 7.75\%\to \frac{7.75}{100}\dotfill &0.0775\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &15 \end{cases} \\\\\\ A=48000\left(1+\frac{0.0775}{1}\right)^{1\cdot 15}\implies A\approx 147062[/tex]


Related Questions

I need help I do not understand this

Answers

Step-by-step explanation:

the slope of a line is its inclination and is expressed as ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.

now, I see 2 "good" points on the chart (I mean by that points with integer coordinates) :

(0, 10)

(20, 100)

so, between these 2 points

x changes by +20 (from 0 to 20).

y changes by +90 (from 10 to 100).

so, the slope is +90/+20 = 9/2

if x²=c, express X in terms of c and leave your answer in index form​

Answers

Answer:

x = [tex]c^\frac{1}{2}[/tex]

Step-by-step explanation:

x²=c

x = √c

x = c^1/2

x = [tex]c^\frac{1}{2}[/tex] .........in index form

A diamond ring was reduced from $999.99 to $299.99. Find the percent decrease in the price. Round the answer to the nearest tenth of a percent.

Answers

Step-by-step explanation:

999.99 × x% = 299.99

999.99÷100 × x = 299.99

9.9999 × x = 299.99

9.9999x = 299.99

D.B.S by 9.9999 to make x the subject

9.9999x÷9.9999 = 299.99÷9.9999

x=29.999299993

To the nearest tenth of a percent, x=30

Therefore, x = 30%

PLSSS HELP THIS IS HARD ANYONE

Answers

Answer:

Step-by-step explanation:

Four times a number,added to 9 ,is 41.find the number

Answers

Answer:

8

Step-by-step explanation:

41-9=32

32/4=8

-pls answer all thanks!!! HAVE A BLESS DAY

Answers

1. = 3
2.= 1
3.= 3/1= 3

Answer:

3 ,1, 3

Step-by-step explanation:

Evelyn bought snacks for her team's practice. She bought a bag of chips for $2.99 and a 20-pack of juice bottles. The total cost before tax was $36.39. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs.

Answers

Answer:

1.67 each bottle Because if u do 36.39-2.99= 33.40divided by 20 =1.67 each bottle

Step-by-step explanation:


Find the solution to the system.

Answers

Answer:

(-3,1)

Step-by-step explanation:

Solve the following:
4x-1 =x+7
——-
2

Answers

4x-1=2(x+7)
= 4x-1=2x+14
= 4x-2=14+1
= 2x=15
= x=15/2 =7.5

what is this helppp 1/2 + 1/5

Answers

Answer:

[tex] \frac{1}{2} + \frac{1}{5} \\ \\ = \frac{5 + 2}{10} \\ \\ = \frac{7}{10} [/tex]

Answer:

0.7 or 7/10

Step-by-step explanation:

1/2 is 0.5 and 1/5 is 0.2 which is 0.7 when added together or 7/10

can someone explain how to solve the equation 4k + 6 = –9 + 9k

Answers

ANSWER: 3

collect like terms
4k-9k
= -5k

subtract
-9-6
= -15

divide -5 on both sides
-5/-5 -15/-5

k=3

Answer:

3

Step-by-step explanation:

4k+6=-9+9k

4k-9k+6=-9

-5k+6=-9

-5k=-9-6

-5k=-15

5k=15

k=15/5

k=3

GUYssss what is 1/2 x 4/50s

Answers

1/25
Hope this helps!!

Factor. ​9x^2+42xy+49y^2​
Enter your answer in the box

Answers

[tex]\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}[/tex]

The factorized form of the given equation is ~

[tex] \boxed{ \sf(3x + 7y) {}^{2} }[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 9 {x}^{2} + 42xy + 49 {y}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: (3x) {}^{2} + 2(3x \times 7y) + (7y) {}^{2} [/tex]

Now, as we can see, an Identity is applied here ~

that is ;

[tex]\qquad \sf  \dashrightarrow \: {a}^{2} + 2ab + {b }^{2} = (a + b) {}^{2} [/tex]

So, let's use this identity in our next step, taking :

a = 3x

b = 7y

[tex]\qquad \sf  \dashrightarrow \: (3x + 7y) {}^{2} [/tex]

What is the answer for y and x

Answers

Answer:

x=128°

y=52°

Step-by-step explanation:

explanation is in the image above

Solve the inequality x - 4 < -3. Then graph the solution set. Show your work. ​

Answers

Answer:

x < 1

Step-by-step explanation:

x - 4 < - 3

+ 4    +4                        Do inverse operations by adding 4 on both sides

   x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4    -3    -2    -1     0    1     2    3      4

The circle is open because based on the concept that in inequalities, less/greater than and/or equal to (such as these ≥ ≤ ) signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

Match the parts of an informational text with their definitions.

PLS ANSWER!!!

Answers

Answer:

1 e

2 c

3 d

4 a

5 b

Step-by-step explanation:

Hope this help

how do you solve x-3y=7
4x+2y=14

Answers

X=4 y=-1
This is the solution

as marc and matt were traveling to san diego for their next basketball meet, they followed ther progress along on a map. The map showed a scale of one inch equaling 30 miles. Their route's total lengh on the map appears to be 3 1/2 inches long. How far will they be traveling to the meet? Show all work and justify your answer.

Answers

Answer:

45

Step-by-step explanation:

one inch is 30 and 1/2 is half of a whole number so it basically is 15 since it is half if 30 so to sum up all of the numbers you get a total of 45 miles

Answer:

105

Step-by-step explanation:

The route is 3 1/2 inches long, and one inch equals 30 miles. Multiply 30 by 3 to get 90. Since there is 1/2 left, we need to add 15 to 90 because half of 30 is 15.

Simplify the following expression: 5x + 8 + 7x − 8x − 4 (1 point)
7x2 + 13x + 4
7x2 − 3x + 12
7x2 − 3x + 4
7x2 + 13x + 12

Answers

Answer:

10x2 − 13x + 6

Step-by-step explanation:

hope that help .

Let's simplify step-by-step.

5x+8+7x2−8x−4

=5x+8+7x2+−8x+−4

Combine Like Terms:

=5x+8+7x2+−8x+−4

=(7x2)+(5x+−8x)+(8+−4)

=7x2+−3x+4

Answer:

=7x2−3x+4 hence, C

Please help!!! Again can someone explain to me like I'm a child I'm kinda slow :)

Answers

Answer:

información ℹ ‍♂️ ️ ℹ ‍♀️ ️ ℹ ‍♀️ ️ ℹ ‍♂️ ️ ℹ ‍♂️ ️ ℹ que no me lo esperaba en

Please help !!!!!!!!!!

Answers

Answer:

Whole number is  16

Step-by-step explanation:

Whole number are 0,1,2,3,........

Answer:

16!

-8 is the absence of number

0.23 isn't a full number neither is 4/5 and 2.54

From the observation deck of a skyscraper, Harper measures a 45^{\circ} ∘ angle of depression to a ship in the harbor below. If the observation deck is 1145 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Answers

The horizontal distance between the base of the skyscraper to the ship is 1145 feet.

Data;

Angle = 45 degreeObservation deck (adjacent) = 1145 fthorizontal distance (opposite) = x

Trigonometric Ratios

Using trigonometric ratios, we have the value of adjacent and angle, we can easily use tangent of the angle to find the horizontal distance

[tex]tan\theta = \frac{opposite}{adjacent}[/tex]

Substitute the values into the equation and solve

[tex]tan45 = \frac{x}{1145}\\ x = 1145tan45\\x = 1145ft[/tex]

The horizontal distance between the base of the skyscraper to the ship is 1145 feet.

Learn more on trigonometric ratio here;

https://brainly.com/question/4326804

6 = 2p + 8 please i will give brainliest

Answers

p = -1

Explanation: Subtract 8 on both sides and then divide by 2 on both sides

Please give brainliest!! :)

Answer:

p= -1

Step-by-step explanation:

subtract 8 both sides,

divide both side by 2

please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

4 packages

Step-by-step explanation:

450 can be divided by 100 4 whole times, the extra cards cannot be added into a package

Answer: 4

Step-by-step explanation:

100 can go into 450 only 4 times

Hope this helped

If a pentagon has a radius of 16 find the perimeter

Answers

Answer:

94.05 units is the perimeter of this pentagon.

Length of each side in pentagon: 2r × Sin(180/n)

                                 where r is radius and n is number of sides

Using the formula: 2r × Sin(180/n)

                              : 2*16 * sin(180/5)

                              : 18.8 units

Perimeter = 5(18.8) units........5 as we know pentagon has 5 sides

                 = 94.05 units

a super slim diet claims to help you lose 6lb in two weeks. the slim off diet claims to help you lose 3.5kg a week which diet claims the largest loss? ​

Answers

Answer:

The slim-off diet claims the largest loss.

Step-by-step explanation:

The slim off claims to lose 3.5kg(7.7 pounds) in a week,

whereas super slim claims to lose 6 pounds in 2 weeks.

Answer:

3.5 kg

Step-by-step explanation:

if you convert 6 Ib and 3.5 kg to grams you get

6 Ib = 2721.6 grams

3.5 kg = 3500 grams

Since 3.5 kg has more grams lost from the diet.

PLEASE HELP ASAP!!! will mark brainlest!! find the area.

Answers

Answer:

52

Step-by-step explanation:

help pleaseeeeee????

Answers

Hey hey!

To figure out the congruence you have to look at the lines and ticks on both triangles.

So when it gives you one letter you know it's asking for an angle.

And when it gives you two letters you know it's a segment.

When it gives you three letters you're looking for an angle.

A)

<A = <X

<B = <Z

<C = <Y

B)

AB = XZ

AC = XY

BC = ZY

C)

This one is a little tricky, so when it gives you a three-letter angle you have to look at the 'samwitched' letter, which in this case would be A.

To answer this first you have to figure out what angle corresponds to A which would be X.

And then to answer you could say either YXZ or ZXY as long as the X is in the middle it's okay.

I hope this helps a bit :)

Please feel free to comment with any questions!!

6. The distance from Tory's home to the mall is 14 km. The distance from her home
to the bus station is 8 km. If the three distances form a triangle, what is the range
of distances from the school mall to the bus station?

Answers

Answer: 6 km to 22 km !

Step-by-step explanation:

the distances from the school mall to bus station could be, in the worst case, 14+8=22 km apart, and in the best case 14-8=6 km apart

so the range is 6 km to 22 km !

solve pls brainliest

Answers

24/5 or 4.8 or 4 4/5
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