A principle of $1500 is invested at 7.25% interest compounded annually how much will the investment be worth at five years

Answers

Answer 1

Answer: $2128.52

Step-by-step explanation:

[tex]1500(1+.0725)^{5}[/tex]


Related Questions

describe fully the single transformation which takes shape A to shape B .
please help me !!

Answers

The single transformation from shape A to shape B is;

(1, 6);  (x, y) → (y + 1, x + 5)

(5, 6); (x, y) → (y + 1, x - 3)

(3, 8); (x, y) → (y + 1, x + 1)

How to find the transformation?

We know that in transformation, it could either be a reflection, a dilation, a translation e.t.c.

Now, let us look at the shapes A and B to find their coordinates.

Coordinates of Shape A are; (1, 6), (5, 6), (3, 8)

Coordinates of Shape B are; (7, 6), (7, 2), (9, 4)

Since the transformed shape B is to the right of the original shape A, then we can suggest that the first transformation is a reflection about the line x = 6. Thus, this is; (x, y) → (y, x)

The transformation of shape A following (x, y) → (y, x) is;

A'(6, 1), B'(6, 5), C'(8, 3)

Comparing that to the coordinates of shape B, we can say that the transformations are;

(1, 6);  (x, y) → (y + 1, x + 5)

(5, 6); (x, y) → (y + 1, x - 3)

(3, 8); (x, y) → (y + 1, x + 1)

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The value of a motorcycle decreases at a steady rate of 20% each year. What is the total percentage loss (to the nearest integer) in the value of the motorcycle at the end of 3 years?

Answers

Answer:

The total percentage loss would be 67%.

Step-by-step explanation:

Since we have given that

Rate of decline each year = 20%

Number of years = 5

We need to find the total percentage loss in value of the house at the end of 5 years.

So, Total percentage loss would be

Do these answers look right?

Answers

Answer:

Yep your good

Step-by-step explanation:

Your smart

what is 6 times 10 equal

Answers

Answer:

60

Step-by-step explanation:

10 + 10 + 10 + 10 + 10 + 10 = 60

Answer:

60

Step-by-step explanation:

Everytime you are multiplying by 10, you add a 0 to the number that you are multiplying by. In this case, the 6 turns into 60. This is a trick for the multiples of 10. Hope this helps!

The area of the Mojave desert is 25000 square miles.

A scale drawing of the Mojave desert has an area of 10 square inches.

What is the scale of the map

Answers

The scale of the map given the area of the desert and the area of the scale drawing is 1 square inch represents 2,500 square miles.

What is the scale?

A scale drawing is either a larger or smaller image of another image or object. A scale drawing is enlarged or reduced using a scale. A map is a smaller scale drawing of an area. The scale is used to keep the proportion of the dimensions between the scale drawing and the original place similar.

In order to determine the scale of the drawing, divide the original square area by the square area of the scale drawing.

Scale of the drawing = original dimensions / dimensions of the scale drawing

25,000 square miles / 10 square inches = 2,500 square miles

The scale is 1 square inch represents 2,500 square miles. or 1 : 2,500.

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find the difference 85.777-42.432

Answers

Answer:

That's the answer

please mark brainiest

the difference is 43.34500

Given that 2 x 108 = 20 × 107
Work out (2 x 108) + (4 × 107)
Give your answer in standard form.

Answers

The solution of the given expression will be ( 2.4 x 10⁸ ).

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 2 x 10⁸ = 20 × 10⁷. The sum of the two exponential numbers will be calculated as:-

Sum = 2 x 10⁸  + ( 4 x  10⁷ )

Sum = 20 x  10⁷ + ( 4 x  10⁷ )

Sum = ( 20 + 4 ) x  10⁷

Sum  = 24 x  10⁷

Sum = 2.4 x 10⁸

Therefore, the solution of the given expression will be ( 24 x 10⁷ ).

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What is the area of this composite figure?

Answers

The area of the composite figure is 17 square in. Option B

How to determine the area

From the image shown, we can see that the composite figure is made up of;

A triangleA rectangle

The formula for area of a rectangle is expressed as;

Area = lw

Where;

L is the length of the rectangle = 4inw is the width of the rectangle = 3in

Now, substitute the values into the formula for area

Area = 3 × 4

Multiply through

Area = 12 square in

The formula for area of a triangle is expressed as;

Area = 1/ 2 × b × h

Where;

b is the base of the triangleh is the height from the base

Substitute the values into the formula

Area = 1/ 2 × 2 × 5

Multiply the numerators

Area = 10/ 2

Find the ratio

Area = 5 square in

But area of the composite figure is given as;

Area of rectangle + area of triangle

12 + 5

17 square in

Hence, the area is 17 square in

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Monster multiplacation Multiply using the standard algorithm. Show your stuff 92 43​

Answers

The multiplication of 92 by 43 using standard algorithm is 3956.

What is standard algorithm?

A standard algorithm or method in elementary mathematics is a certain computation technique that is typically taught for resolving particular mathematical issues.

To be more organized and effective, a typical algorithm uses the same steps each time we multiply, add, subtract, or divide.

Math problems are typically solved by aligning the places, starting with the ones on the right, moving on to the tens place, adding in any carryover numbers or regrouping if subtracting and so on.

Therefore, the multiplication is:

= 92 × 43

= 3956

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What is the slope of this graph? 1/4 -4 -1/4 -4​

Answers

Answer:

-4

Step-by-step explanation:

The line goes down as it moves to the right so it has to be negative.

It goes over 1 and down 4.

To find the slope we use -4/1

We do this because it went down 4 so the 4 is negative, and we use 1 because it went over 1.

So -4/1 = -4

a 1 ​ =49 a i ​ =a i−1 ​ −3 ​ Find the sum of the first 26 terms in the sequence.

Answers

By using the concepts of recurrence formula and sum, the sum of the first 26 terms of the sequence is equal to 299.

How to determine the sum of the sequence with the help of recurrence formulas

In this problem we have a recurrence formula of the following form: a₁ = C and aₙ = aₙ₋₁ + k. Then, the sum of first n terms of the sequence is:

s = a₁ + a₂ + a₃ + ... + aₙ₋₁ + aₙ

First, determine the first 26 terms of the series:

a₁ = 49

a₂ = 46

a₃ = 43

a₄ = 40

a₅ = 37

a₆ = 34

a₇ = 31

a₈ = 28

a₉ = 25

a₁₀ = 22

a₁₁ = 19

a₁₂ = 16

a₁₃ = 13

a₁₄ = 10

a₁₅ = 7

a₁₆ = 4

a₁₇ = 1

a₁₈ = - 2

a₁₉ = - 5

a₂₀ = - 8

a₂₁ = - 11

a₂₂ = - 14

a₂₃ = - 17

a₂₄ = - 20

a₂₅ = - 23

a₂₆ = - 26

Second, sum all the terms found in the previous step:

s = 49 + 46 + 43 + 40 + 37 + 34 + 31 + 28 + 25 + 22 + 19 + 16 + 13 + 10 + 7 + 4 + 1 - 2 - 5 - 8 - 11 - 14 - 17 - 20 - 23 - 26

s = 299

The sum of the first 26 terms of the sequence is equal to 299.

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When solved for C, the equation is

C = K – 273.15
C = 273.15 – K
C = K + 273.15
C = 273.15K

Answers

The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K). The equation with the subject Celsius (C) is C=K-273.15, Option A correct.

Given that,

The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K).

The formula K = C + 273.15 can be used to simulate this.

We have to find the equation with the subject C.

K=C+273.15

Taking the C to left hand side and K to right hand side.

-C=273.15-K

Multiplying -1 on both sides

-1(-C)=-1(273.15-K)

C=K-273.15

Therefore, The equation with the subject Celsius (C) is C=K-273.15, Option A correct.

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Given that △ABC ~△PQR, AC/PR=2.5 and the area of △PQR is equal to 8 cm, find the area of △ABC

Answers

The triangle ABC has an area of 50 square cm

How to determine the area of the triangle ABC?

From the question, the given parameters are:

△ABC ~△PQRAC/PR =2.5 Area of △PQR is equal to 8 cm square

The given parameters above mean that:

The triangles ABC and PQR are similar triangles

So, the area of the triangle ABC is then calculated as

Area of △PQR = Area of △ABC x (AC/PR)²

Substitute the known values in the above equation

So, we have the following equation

Area of △PQR = 8 x (2.5)²

Evaluate the product

Area of △PQR = 50

Hence, the area of the triangle ABC is 50 square cm

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If you have 180 calories of milk in 2 cups, then how many calories of milk would you have in 16 cups?

I need some help.

Answers

If there are 180 in 2 cups then there will be 90 calories in 1 cup using 180/2. Now I order to find calories in 16 cups we multiply 16 with the the number of calories in one cup

No of cups x no of calories in 1 cup
16 cups x 90 calories
= 1440 calories.

Hence the number of calories in 16 cups is 1440

Question 4 (10 points)

Answers

Answer:

1024

Step-by-step explanation:

4^5

= 4*4*4*4*4

= 16*4*4*4

= 64*4*4

= 256*4

= 1024

CO2 How many atoms of each element are in the formula shown?

Answers

The number of atoms of each element in CO2 are; Number of O atoms = 2 and Number of C atoms = 1

What is the number of atoms present in the element?

The number of atoms present in the molecule of an element is known as its Atomicity. For Example: In the H2O molecule, its atomicity is 3 as it has 2 molecules of hydrogen and 1 molecule of oxygen

Similarly, for the antiperspirant  Al₂Cl(OH)₅. the number of atoms in each element can be found as follows;

Number of Al atoms = 2

Number of Cl atoms = 1

Number of H atoms = 1 x 5 = 5

Number of O atoms = 1 x 5 = 5

Applying the above to our question gives;

Number of C atoms = 1 atom

Number of O atoms = 2 Atoms

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Show work with this problem please and thank you also see attached pictures for the other problems

Answers

1. The total bill that the basketball team will pay is $165.

2. The change that the person will recieve after paying is $43.075

How to calculate the value?

1. The basketball team went out and the total bill was $125.

Tip given to waitress= 25% = 25% × $125 = $31.25

Tax rate = 7% = 7% × $125 = $8.75

Total bill = $125 + $31.25 + $8.75 = $165

2. Amount saved = $100

Total bill = $45

Tip given to waitress= 20% = 20% × $45 = $9

Tax rate = 6.5% = 6.5% × $45 = $2.925

Amount left = $100 - $45 - $9 - $2.925 = $43.075

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Plot 1 1/5 on a number line

Answers

Answer: 1 and 1/5 (or 1.2), on a number line would be between One and Two but closer to One.

I need help... yet again. I'm sorry I am very uneducated.

Answers

here’s a step by step
find the GCF (greatest common factor) of 18 and 42.

this would be 6 because factors of 18 are 1,2,3,6,18

and the factors of 42 are 1,2,3,6,7,42

the greatest common factor that they both share is 6.

so then 6 would be on the outside of the parenthesis.

then you find the missing factor of each number.
6 x ? = 18, it’s 3 so 6(3 + ?)

then you find the missing factor for 42,
6 x ? = 42, it’s 7

so the final answer would be
A) 6(3 + 7)

MAKE SURE ITS NOT MULTIPLICATION INSIDE THE PARENTHESIS.

Let U = {1, 2, 3, 4, 5, 6, 7, 8), A=(2, 4, 6), B = {1, 2, 5, 8), and C = (1,3,7)
AU(BUC)

Answers

A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas the circles that do not overlap do not.. If U = {1, 2, 3, 4, 5, 6, 7, 8), A=(2, 4, 6), B = {1, 2, 5, 8), and C = (1,3,7), Then

AU(BUC)= {1,2,3,4,5,6,7,8}.

What is Venn diagram?

A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas  the circles that do not overlap do not.

Venn diagrams are useful for showing how the two concepts are related and different visually. They have long been acknowledged for their value as teaching resources. Venn diagrams have been incorporated into elementary-level lesson plans and the introduction to logic curricula worldwide since the middle of the 20th century.

Venn diagrams are helpful for displaying the relationships between several ideas or factors. They can quickly demonstrate how things are alike or dissimilar as well as where and how they overlap. A Venn diagram's center, which is where two or more circles intersect, frequently indicates some nexus or central concept that may be broken down into the various other circles, with the labels on the outer portions representing more abstract and separate concepts than those near the center.

Since, BUC= {1,2,3,5,7,8}

So, AU(BUC) = {1,2,3,4,5,6,7,8}

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a unit received 1,000 rounds of .9mm. they return 450 live rounds. with a brass conversion rate of .009lb, what should be the total weight of the brass returned?

Answers

The total weight of the brass returned is 4.04 lb

In this question, we have to find the total conversion of brass return with 450 so multiply the conversion rate by the live rounds return back then we will get our exact answer as follows

A unit received rounds of .9mm = 1000

They return the number of live round units = 450

They return the number of live round units with a brass conversion = .009

so,

  The total weight of the brass returned = 450 × .009

   The total weight of the brass returned with a brass conversion = 4.05 lb

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pls help me no one will answer my question

Answers

Answer:

Domain { 0,2,3,4}

Range { -2,1,2,5}

Step-by-step explanation:

The domain is the values that x can take

Domain { 0,2,3,4}

The range is the values that y can take

Range { -2,1,2,5}

asap help please brainly okay

Answers

Answer:

2[tex]\sqrt{10}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

given

[tex]\sqrt{5}[/tex] × [tex]\sqrt{8}[/tex]

= [tex]\sqrt{5(8)}[/tex]

= [tex]\sqrt{40}[/tex]

= [tex]\sqrt{4(10)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{10}[/tex]

= 2[tex]\sqrt{10}[/tex]

jack strong has $50,000 of wealth. he is participating in a jujitsu competition. the prize is $10,000. he is guaranteed to win it (he has black belt) unless he breaks his arm. if his arm is broken, he will lose the tournament and he will have to pay $5,000 in medical expenses. jack thinks that the probability of him breaking his arm during a tournament is 5 percent. he can get a medical insurance at a price of $.3 dollars for each $1 of coverage.

Answers

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:  $10000 + $1500 = $11500

a) the derive equation is 50000 + 10000 + x

jack has maximum amount of wealth = $50,000

When he participated in a jujitsu competition  then the prize amount = 10,000

Then we will take a variable x for derive the equation which will depend on that he will win and loose :

Here,

the equation is = 50000 + 10000 + x

b) His consumption after not purchasing medical insurance is $15000.

if, he does not purchase medical insurance  then he has no coverage of insurance and

He’ll lose the tournament and he’ll have to pay medical expenses dollar 5000 and also the prize amount $10000

So, his consumption after not purchasing medical insurance is:

$10000 + $5000 = $15000

c) when he will purchase medical insurance then his total consumption is $3500

his consumption if he purchase medical insurance, he will give dollar1 for medical insurance and will get in return dollar .3 ,

When he will have to pay for medical insurance $5000, then he’ll get the coverage on medical insurance:

0.3 * 5000 = $1500

Now, subtracting the amount of medical insurance which he’ll have to pay:

$5000 - $1500 = $3500

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:

 $10000 + $1500 = $11500

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Please help, I honestly have no clue what I’m doing.

Given the table below, determine the following

Y = -4x+15

(Picture below)

Answers

Answer:

y=-1

y=43

x=14

Step-by-step explanation:

So, you have the equation: [tex]y=-4x+15[/tex], and if we know one value we can easily solve for the other using some algebraic manipulation.

Find y when x=4.

For this we know one value, "x", and the other "y" value is unknown. This is actually not to hard if you notice that the equation we're given expresses the value of "y" in terms of "x".

So let's plug in the x-value: [tex]y=-4(4)+15\implies y=-16+15=-1[/tex]

So we get: y=-1, which turns out to be the solution!

Find y when x=-7

This is a similar process, so let's just get straight into it and plug x as -7

[tex]y=-4(-7)+15\\y=28+15\\y=43[/tex]

This is our solution, y=43

Find x when y = -41

So this case is a bit different since we're given the y-value and not the x-value, and as I mentioned the equation represents the value of y in terms of x.

We still do a similar process, except we'll use some more algebraic manipulation, but let's start by plugging in the known value:

[tex]-41=-4x+15[/tex]

Let's move the constant, 15, to the other side by subtracting by 15 to cancel both sides.

[tex]-56 = -4x[/tex]

Now we want to get the x alone, and the only "operation" being done on the x, is that it's being multiplied by the coefficient of -4. To cancel this out we want to divide both sides by -4 to maintain equality & cancel out the coefficient of -4 to one, which is just 1 * x which can be expressed as x as it's implied the coefficient is 1

[tex]14=x[/tex]

Now we have our solution!

she will make the base and side of the box out of a metal that costs 50 cents per square inch. the lid of the boxwill be made from a metal with a more ornate finish which costs 200 cents per square inch

Answers

Answer:

4

Step-by-step explanation:

1 side is 50 per inch the ornate cost 200 cents. 200÷50=4

can someone tell me what 4 x 90 is

Answers

Answer:

360

Step-by-step explanation:

Answer: 360

Step-by-step explanation:

Find the measure of angle TRS.

Answers

The measure of the angle TRS = 46°

The angles given in figure are :

angle QSR = 110°

angle STR = 64°

angle QRS = 2x-10°

We will find the angle TRS using these given angles and some angle properties in a triangle.

We have the fact that sum of three angles of a triangle = 180°

So angle TRS + angle RST + angle STR = 180°

angle QSR and angle RST are supplementary. i.e., their sum = 180°

So angle RST = 180° - 110° = 70°

So angle TRS = 180°- (70°+64°) = 46°

Using angle TRS we can also find angle QRS and thereby, the value of x.

From the figure, angle QRT = 90°.

So angle QRS = 90°-angle TRS

⇒ 2x - 10° = 90° - 46°

⇒ 2x = 44° + 10°

⇒ x = 54°/2

⇒ x = 27°

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the object on the scale drawing is 4 inches long. How many feet long is it in real life?

Answers

Answer:

half of a foot

Step-by-step explanation:

A line passes through the point (-1,-5) and has a slope of -7
Write an equation in slope -intercept form for this
Line

Answers

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\hspace{10em} \stackrel{slope}{m} ~=~ - 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 7}(x-\stackrel{x_1}{(-1)}) \implies y +5= -7 (x +1) \\\\\\ y+5=-7x-7\implies {\Large \begin{array}{llll} y=-7x-12 \end{array}}[/tex]

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