Laura invests $2,000 in a bank account which pays a compound interest rate of 6.4%. To the nearest cent, what amount is in the account after 5 years and what amount of interest earned over 10 years?

Answer:

∅ = 90 - 48 = 42°

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

let 'n' = the number

n/3 + 10 = 2

n/3 +10 - 10 = 2 - 10

n/3 = -8

n = -24

Answer:

x= -24

Step-by-step explanation:

let the number be x

x/3 +10=2

Multiply through by 3

3 * x/3 + 3 *10 = 2*3

x + 30 = 6

x= 6 - 30

x= -24

note * = multiplication sign

Answer:

Q1: no solution

Q2: one solution

Q3: infinite solutions

Step-by-step explanation:

Question 1

Answer: No solution

-------------------

Explanation:

Multiply both sides of the first equation by 3. Doing so leads to

3*(5x+2y) = 3*(-7)

15x+6y = -21

The second equation is 15x+6y = 21

Let's say we let z = 15x+6y

This means the system

[tex]\begin{cases}15x+6y = -21\\15x+6y = 21\end{cases}[/tex]

becomes

[tex]\begin{cases}z = -21\\z = 21\end{cases}[/tex]

but we can't have z be equal to more than one value at a time. We have a contradiction and therefore there are no solutions.

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

Question 2

Answer: One solution

The solution is (x,y) = (5/6)

-------------------

Explanation:

Apply substitution

2x - 4y = 1

2x - 4(2x+1) = 1

2x - 8x - 4 = 1

-6x - 4 = 1

6x = 1+4

6x = 5

x = 5/6

Then use this to find y

y = 2x+1

y = 2(5/6)+1

y = 5/3 + 1

y = 5/3 + 3/3

y = 8/3

The one solution is (x,y) = (5/6)

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

Question 3

Answer: Infinitely many solutions

-------------------

Explanation:

Multiply both sides of the second equation by 2

3x+2y = 5 becomes 2*(3x+2y) = 2*5 which turns into 6x+4y = 10

This is exactly identical to the first equation of the original system given.

So both equations represent the same thing. We have infinitely many intersection points, and infinitely many solutions.

All of these solutions are on the line 3x+2y = 5

Answer:

Step-by-step explanation:

Given the rational number :

0.9, -2/1/2, 0.25, -3/4

Converting all to decimal;

0.9 = 0.9

-2 1/2 = - 2.5

0.25 = 0.25

-3/4 = - 0.75

Kindly check the ttcjed picture for the number line graoh

Answer:

2.58 is less than 2.7

Step-by-step explanation:

Answer:

1536 bacteria

Step-by-step explanation:

3000×0.80³ = 1536

This is an exponential equation of the form

[tex]F=Ir^t \\ \\

F=3000(0.8)^3 \\ \\

F=1536[/tex]

Answer:

92

Step-by-step explanation:

really kidfhufnfhjaj

Answer:

77

Step-by-step explanation:

48 + (x-35) = 90

x-35 = 90-48

x-35 = 42

x = 42+35

x = 77

Answer:

The answer is 35% increase

Answer:

Right triangles

Step-by-step explanation:

Answer:

Right Triangles

Answer:

Yeppers Peppers. (That means yes)

Step-by-step explanation:

You did a good job on that. Good work!

Answer:

whats the total wight of each person

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of rectangle = 8×5 = 40 cm²

area of semicircle = ½×π4² = 8π cm²

total area = 40 + 8π ≅ 65.1 cm²

:::::

area of circle = π2² = 4π in²

area of square = 4⁴ = 16 in²

blue area = 16 - 4π ≅ 3.4 in²

Answer:

366.6is your answer right answer right

Answer:

0.339

Step-by-step explanation:

Answer:

21.62

Step-by-step explanation:

add them together

Answer:

21.62

Step-by-step explanation:

Answer:

The answer is 2 hope this helped!

Step-by-step explanation:

Answer:

what's your question I am not understanding

Answer: The is down there

Step-by-step explanation: Glad to help but hope it helps you.

Answer: The graph in the bottom right corner.

Step-by-step explanation:

We have the function:

f(x) = 3   if  x <  1.

f(x) = x   if   x ≥ 1

First, let's analyze each part of the function:

f(x) = 3   if  x <  1.

We have a constant line y = 3, such that it ends at the point x = 1 with an open dot (or white dot) (because here we have the symbol <)

f(x) = x   if   x ≥ 1

From x = 1 and on, we have the line y = x, such that in the point x = 1 we will have a closed dot (or black dot) that means that the point does belong to the graph.

when x = 1, we have:

f(1) = 1

Then we will have the closed dot at the point (1, 1)

Then the correct option is the one in the bottom right.

Answer:

The answer is The graph on the bottom right

good luck!

Answer:

x+1>9 hahaahah........

Step-by-step explanation:

[tex] \tan(16) = \frac{y}{260 + x} \\ (260 + x) \times \tan(16) = y \\ 74.55 + 0.286x = y \\ y = 0.286x + 74.55[/tex]

[tex] \tan(42) = \frac{y}{x} \\0.9 x = y[/tex]

[tex]0.9x = 0.286x + 74.55 \\ 0.614x = 74.55 \\ x = 121.42[/tex]

[tex]y = 0.9x \\ y = 109.27 = 109[/tex]

The length of ZY is [tex]109.27[/tex]

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.

What is length?

Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived. In the International System of Units system the base unit for length is the meter.

According to question, In ΔXYZ, ∠Y=90° and ∠X=16°. ∠ZWY=42° and XW=260.

We have to find the  the length of ZY.

Let the length of ZY be [tex]x[/tex] and WY be [tex]y[/tex]

From the given question and figure

[tex]tan16[/tex]°[tex]=\frac{y}{260+x}[/tex]

⇒[tex]tan16[/tex]°×[tex](260+x)=y[/tex]

⇒[tex]y=0.286x+74.55[/tex]

Now,[tex]tan42[/tex]°[tex]=\frac{y}{x}[/tex]

⇒[tex]y=0.9x[/tex]

From both the above equation,

[tex]0.9x=0.286x+74.55[/tex]

⇒[tex]x=121.42[/tex]

[tex]y=0.9x=109.27[/tex]

Hence, we can conclude that the length of ZY is [tex]109.27[/tex]

Learn more about  trigonometry here:

https://brainly.com/question/22698523?referrer=searchResults

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Answer:

x = -3; substitute it to the other equation.

2(-3) - 7y = 30

-6 - 7y = 30

-7y = 30 + 6

-7y = 36

y = -36/7

we will not round the number because the question is asking for an improper fraction at its simplest form.

Answer:

5.1

Step-by-step explanation:

2*-3 - 7y =30

-6 + 7y = 30

7y = 30 + 6

y = 36 / 7

i.e. y = 5.1

Answer:

Step-by-step explanation:

I think that you want to know how many total pounds of beans do you have.

Well, to find this, simply find the LCM of 6 and 4. That is 12.

So convert the fractions to have a denominator of 12.

10/12, 9/12

Now add:

(10+9)/12 = 19/12 = 1 7/12

Step-by-step explanation:

w= L-4

$(24L-48)

......

Answer:

128 days and 4000 days

Step-by-step explanation:

Hence on day 8, 640 views are obtained.

a series is a crude description of the operation of adding infinitely many quantities to a given initial amount one after the other.

A series is systematic way in which  numbers are arranged which are defined  by a particular function.

Given  views  pr day =5

everyday number of views double

hence series becomes=

[tex]=2^{0}*5+2^{1} *5+2^{2} * 5+2^3*5.....[/tex]

[tex]=5+2*5+4*5+8*5+16*5+32*5+64*5+128*5....[/tex]

now 640 people watch video

hence 640=128*5= day 8

Hence on day 8, 640 views are obtained.

Part 2 - To calculate for more than 20000 views one can apply GP FORMULA as the above series is geometric progression.

learn more about SERIES https://brainly.com/question/12006112

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Answer:

10 inches

Step-by-step explanation:

Assuming that by 'deep' you mean length, we can set up a simple algebraic expression to solve this problem. We know that a rectangle has 4 sides, 2 of them equal sides, and all of those sides added up equals the perimeter. To say that algebraically, [tex]2a+2b=p[/tex]. We can fill in the blanks on this equation to solve.

[tex]2(27)+2b=74\\\\54+2b=74\\2b=20\\b=10[/tex]

The length of the other side is 10 inches.

Hope this helped!

Answer:Planting trees on 7 million hectares of land and purchasing 20 million hectares of land

Step-by-step explanation:

Planting trees on 7 million hectares of land and purchasing 20 million hectares of land

An expression is a number, a variable, or a combination of numbers and variables and operation symbols

Planting trees on 7 million hectares of land and purchasing 20 million hectares of land

Learn more about the expression:

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Answer:

1/6

Step-by-step explanation:

The probability that the first number cube shows a two or a three is 2/6 = 1/3

The probability that the other number cube shows an even number is 3/6 = 1/2.

1/2 * 1/3 = 1/6