1. Find the present value of an investment that is worth $19,513.75 after

earning 3% simple interest for 5 & 1/2 (5.5) years.

2. Mr. Clopu buys an 18-month CD that pays 4 3/4% simple interest for $5,000. Find the value of the CD at the end of its term.

Answers

Answer 1

1) To get the present value, we need to get the amount after 5.5years

Amount = Principal + Interest

Interest = PRT/100

Interest = $19,513.75*3*5.5/100

Interest = 321,976.875/100

Interest =  $3219.76875

Amount = $19,513.75+$3219.76875

Amount = 22,733.51875

Hence the present value is $22,733.51875

2) Simple Interest = PRT/100

Simple Interest = 5000*(4 3/4)* 18/12*100

Simple interest = 5 * 19 * 18/4*12

Simple interest = 1710/48

Simple interest =35.625

Amount = 5000 + 35.625

Amount = $5035.625

Hence the present value is $5035.625


Related Questions

Explain what it means for x and y to vary directly​

Answers

Answer:

(Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

What’s is 3+4+8+9+2+5+6+7=

Answers

Answer:

44

Step-by-step explanation:

I just used mental math soooo.......

have a great day luvs <3

Answer:

44

Step-by-step explanation:

3+4+8+9+2+5+6+7=

7+8+9+2+5+6+7=

15+9+2+5+6+7=

24+2+5+6+7=

26+5+6+7=

31+6+7=

37+7= 44

44 = 44

Richard sells cupcakes at a school bake sale for $1.25 each. The amount of money, m, that he makes and the number of cupcakes he sells, c, are related. Which variable is the Independent Variable and which variable is the Dependent Variable? Independent Variable: Dependent Variable:

Answers

Answer:

Independent: Number of cups he sells

Dependent: Amount of money he makes

Step-by-step explanation:

1.
Solve 17 - x = 1 + 3x

Answers

x = 8

We’ll combine like terms by getting all the x terms on the right, all the digits on the left.

16 = 2x
Divide both sides by 2
x = 8

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

1) Add x to both sides.

[tex]17 = 1 + 3x + x[/tex]

2) Simplify 1 + 3x + x to 1 + 4x.

[tex]17 = 1 + 4x[/tex]

3) Subtract 1 from both sides.

[tex]17 - 1 = 4x[/tex]

4) Simplify 17 - 1 to 16.

[tex]16 = 4x[/tex]

5) Divide both sides by 4.

[tex] \frac{16}{4} = x[/tex]

6) Simplify 16/4 to 4.

[tex]4 = x[/tex]

7) Switch sides.

[tex]x = 4[/tex]

Therefor, the answer is x = 4.

select the correct answer. one of the factors of the polynomial x^3+5x^2+6x is (x^2+3x). what is the other factor?

Answers

Answer:

x(x+2)(x+3)

Step-by-step explanation:

Answer:

x+2

Step-by-step explanation:

A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.
What is the area of the hexagonal floor tile?

Enter your answer as a decimal to the nearest hundredth.
area = cm2

Answers

Answer:

Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of regular hexagon

[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]

Answer:

41.57

Step-by-step explanation:

took the test

What are the measures of ∠1, ∠2, and ∠3?

Answers

You did not put a picture. I can probably figure it out if you put a picture.

Answer:

wjdh

Step-by-step explanation:

wqd


A cube-shaped box has a volume of 1000 cubic inches. How tall is the box?

Answers

Answer:

10 inches

Step-by-step explanation:

the box is 1000 cubic inches in volume, and 10×10×10 is 1000

The side lengths are each 10 inches tall

The box is 10 inches tall, wide, and long

Pls pray for me of this is the last one-

Answers

The answer is X=63 , y=27

its math and i think thats all you really need to know

Answers

Answer:

148692/12

Step-by-step explanation:

12391

how do you find the circumference of a circle​

Answers

Answer:

circumference = pi (3.14 or 22/7, whatever your teacher wants or whatever the problem asks) x the diameter

Step-by-step explanation:

Answer:

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).

Step-by-step explanation:

I hope the images help!!

Which could NOT be the length of the unknown side of the triangle?

Answers

Answer:

5

Step-by-step explanation:

Can someone explain what the GFC is to me pls. Step by step explanation.

Answers

Answer:

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.

Step-by-step explanation:

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.

Answer:

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Step-by-step explanation:

Example: 6,8,20

6-1,2,3,6

8-1,2,4,8

20-1,2,4,5,20

GCF is 2

Which equation represents a linear function

Answers

Answer: B

Step-by-step explanation:

A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel

Answers

Answer:

[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]

Step-by-step explanation:

Let's create a proportion using this setup.

[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]

We know that 25 liters are used for 355 kilometers.

[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]

We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.

[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]

[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]

Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.

[tex]25*x=42*355[/tex]

[tex]25x=14910[/tex]

Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.

[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]

[tex]x=596.4[/tex]

The car can travel 596.4 kilometers with 42 liters of fuel.

Find the measure of unlabeled angle in the quadrilateral

Answers

Answer:

x=140

Step-by-step explanation:

A quadralterial interior angles sum up to 360. We are given three angles and need to find the missing angle.

Let x, represent the missing angle.

[tex]60 + 55 + 105 + x = 360[/tex]

[tex]220 + x = 360[/tex]

[tex]x = 140[/tex]

????help me please #6thgrademath

Answers

Answer:

c

Step-by-step explanation:

you divide to see how much she earns per hour

Does 3 (x-1) = 2x + 9 have one solution, no solution, or infinite solutions?

Answers

Answer:

one solution

x = 12

Step-by-step explanation:

3 (x-1) = 2x + 9

3x - 3 = 2x + 9

subtract 2x from each side of the equation:

x - 3 = 9

add 3 to each side:

x = 12

Step-by-step explanation:

3x-3=2x+9

3x-2x=9+3

x=12

only one solution

solve for x. please help asap we have a test on these tomorrow and i have no idea what’s going on.

Answers

Answer:

x = 20°

Step-by-step explanation:

You know the horizontal line is 180°. If the left side of the horizontal line is 90° (right angle), then the right side of the horizontal line should be 90° too. (180° - 90° = 90°)

Thus, 90° = 43° + 2x + 7°

2x = 90° - 43° - 7°

    = 40°

x = 40° ÷ 2

x = 20°

Answer:

X = 2

Step-by-step explanation:

As the lines are perpendicular...

90 = 43 + 2x + 7

Solve for x by making x the subject.

90 - 43 - 7 = 2x

40 = 2x

40/2 = x

20 = x

therefore, x = 2

Solve the equation for a.

3a+13.61=−9.43

What is the value of a that correctly solves the equation?

Enter your answer as a number with two decimal places, like this: 4.25

Do not round your answer.

Answers

Answer:

a=-7.68

Step-by-step explanation:

3a+13.61=-9.43

               -13.61

_____________

               -23.04

3a=-23.04

-23.04/3= -7.68

5.) Solve the proportion. *
2
m - 6
7.
m - 8

Answers

When you solve the problem you get m=26/5 and then you have to make it into a decimal. And 26/5 is 5.2

what % of 276 = 77.28

Answers

Answer:

28%

Step-by-step explanation:

you can divide 276 by 100 to get how much each individual percentage is worth so when you multiply that number by 28 you get 77.28

Complete the equation to show how to find the sum of 7/10 and 20/100. Write your answers in the boxes. HALP MEH PLS

Answers

Answer:

9/10

Step-by-step explanation:

To solve this you need a common denominator, here we'll make it 10, leaving 7/10 and simplifying 20/100 by dividing both the 20 and 100 by 10 to get our common denominator of 10. Now we have 7/10 + 2/10 which is 9/10.

Help hurry !2. What is the value of the expression? (V5)?
B) V125
C) 5
A) V5
D) 25

Answers

25 heuiheuheouihoeiuhuehoieue
I’m pretty sure it’s V125

Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?

Answers

Answer:

wef

Step-by-step explanation:

wef

Question 17
5 pts
The population of fish in an aquarium can be modeled after exponential growth. If there
were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there
be after 14 weeks?
321 fish
698 fish
452 fish
815 fish

Answers

Answer:

698 fishes

Step-by-step explanation:

Generally, we can represent an exponential growth function as;

y = a•(1 + r)^t

originally, there were 3 fishes

The original value in this case means a = 3

After 6 weeks, there were 31

31 in this case is y

r is the increase percentage or rate

t is the time

So, we have it that;

31 = 3•(1 + r)^6

31/3 = (1 + r)^6

10.33 = (1 + r)^6

ln 10.33 = 6 ln (1 + r)

ln 10.33/6 = ln (1 + r)

e^0.3892 = (1 + r)

1 + r = 1.476

r = 1.476-1

r = 0.476 or 47.6%

So the growth percentage or rate is 47.6%

For 14 weeks, we simply have the value of t as 14;

So ;

y = 3•(1 + 0.476)^14

y = 3(1.476)^14

y = 698 fishes

Please help me figure this out

Answers

7.54(1000)=7540
The answer is 7540

In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.​

Answers

Answer:

sin (55)  =  DE / AD

AD  =  DE / sin (55)

AD  =  8 / sin (55)

And  

tan (55) = DC / AD

tan (55)  = DC / [8 / sin (55) ]

DC  =  8 tan (55) / sin (55)    

AD * DC  =

[8 /sin (55) ]  [ 8 tan (55) / sin (55) ]   =    136 units^2  

Step-by-step explanation:

f

A string requires 186n of force to break a 1.5 kg mass is tied to the string

Answers

I don’t know the answer sorry

A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many DUCKS are there?

Answers

Answer:

let no of pigs=x

ducks=y

x+y=10.....(1)

4x+2y=36

2x+y=18....(2)

by(1)..y=10-x

putting vvalue

2x+10-x=18

x=8

ducks=8

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