Julie invests money in an account that pays compound intrestof 5% per annum after 3 years julie has 2778.30 how much did julie initially invest

Answer:

Jim:  2/9

Step-by-step explanation:

8/9-4/6

48/54-36/54          [Convert each fraction to a common denominator:  54

                              Multiply (8/9)*(6/6)=48/54;  Multiply (4/6)*(9/9) = 36/54]

 48/54-36/54 = 12/54

12/54 can be reduced to 2/9

Jim also has 2/9

Sue- 8/9-4/6=4/3 or 1 1/3:  Sue subtracted both the numerator and denominator.  This is not correct.

Jim- 8/6 - 4/6 = 48/54 - 36/54= 12/54 or 2/9:  Good Job Jim

Bob- 8/9- 4/6 = 8/54-4/54= 4/54 = 2/27:  Bob converted both denominators to 54, but did not multiply the numerators by the same numbers.  Bad Bob.

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal. Kyle's claim is Incorrect.

It is a polygon with four sides. The total interior angle is 360 degrees.

Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal.

Kyle's claim is Incorrect. Because the shapes are square and rhombus.

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal.

More about the quadrilateral link is given below.

https://brainly.com/question/13805601

#SPJ1

Answer:

You can make 10 tortillas with one and a half kilograms of ground meat

Step-by-step explanation:

one and a half kilograms to grams

1.5kg x 1000 = 1500g

150 grams prepared to make 1 hamburger

than, 150 x h = 1500

h = 1500 / 150

h = 10

Answer:

10 tortillas

Step-by-step explanation:

First convert kilograms to grams:

   1 kg = 1000 g

⇒ 1.5 kg = 1500 g

Let x = number of tortillas made with 1500 g of meat

Set up a ratio of tortillas and meat and solve for x:

⇒ 1 tortilla : x tortillas = 150 g meat : 1500 g meat

[tex]\sf \implies \dfrac{1}{x}=\dfrac{150}{1500}[/tex]

[tex]\sf \implies 1 \cdot 1500= 150 \cdot x[/tex]

[tex]\sf \implies 1500=150x[/tex]

[tex]\implies \sf x=\dfrac{1500}{150}[/tex]

[tex]\implies \sf x=10[/tex]

Therefore, 10 tortillas can be made with 1.5 kg of ground meat.

Answer:

the correct answer is 2 act

Step-by-step explanation:

there is same base (act)

then 5+3=8

and 8-6 = 2act

Answer:

32 km/hr

Step-by-step explanation:

Firstly, you need to find the speed of both trains in km/hr.

Paolo's train= (70km x 60hr)/35= 120 km/hr

Monika's train= 684km/4.5hr= 152 km/hr

Then find the difference in speed:

152-120=32 km/hr

The equation of line is 2x  - 3y = 6.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

The x-intercept is 3 and the y-intercept is -2.

So, the line passes through the points  (3, 0) and (0, -2)

Now, slope of line is

m= -2-0/ 0-3 = 2/3

Equation of line is

y = 2/3 x - 2

y = 2x-6 /3

3y= 2x -6

2x  - 3y = 6

Learn more about intercept here:

https://brainly.com/question/14180189

#SPJ1

Answer:

Dimensions = 8 CM and 12 CM

length = 12 CM

width = 8 cm

perimeter = 2 ( length + width)

= 2( 12 + 8)

= 2 ( 20)

= 40 CM

ratio = 12/40

= 6/20

= 3/10

Answer:

6/6

Step-by-step explanation:

6/6 not equal -1/1 so these lines intersect each other at only one point hence these have only one solution.

Answer:

I can give you the answer if you can answer a question

Step-by-step explanation:

Answer:

15cm

Step-by-step explanation:

PC = 15

BR = 15

.

............................................

Answer:

[tex]\dfrac{26}{3}[/tex]

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given function:  [tex]f(x)=3^{x-1}+2[/tex]

Given interval:  1 ≤ x ≤ 4

Therefore, a = 1 and b = 4

Therefore, find the value of the given function when x = 1 and x = 4:

[tex]\begin{aligned}\implies f(1) & =3^{1-1}+2\\ & = 3^0+2\\ & = 1+2\\ & = 3 \end{aligned}[/tex]

[tex]\begin{aligned} \implies f(4) & = 3^{4-1}+2 \\ & = 3^3+2\\ & = 27+2\\ & = 29 \end{aligned}[/tex]

Substitute the found values into the formula:

[tex]\begin{aligned}\implies \dfrac{f(b)-f(a)}{b-a} & =\dfrac{f(4)-f(1)}{4-1}\\\\ & =\dfrac{29-3}{4-1}\\\\ & = \dfrac{26}{3} \end{aligned}[/tex]

Sin3A=Cos3A

Cos(90-3A)=Cos3A

90-3A=3A

90=3A+3A

90=6A

90/6=A

^•^

The answer is A=15

Answer:

Step-by-step explanation:

Givens

Parallelogram EASY with diagonal ES

<AES = 40

<Y = 110

Solution

<AES = 40               GIVEN

<ESY = 40                     Z THEOREM OF A PRALLELOGRAM

<A = <Y                         PROPERTY OF A PARALLELOGRAM

<A = <110                      <A = 110 BECAUSE <Y = 110

<YES = 180 - <Y           -<ESY EVERY TRIANGLE HAS 180o

<YES = 180 - 110 - 40    SIMPLIFY

<YES = 30

<YEA = <YES + <AES    WE KNOW BOTH ANGLES ON THE RIGHT.

<YEA = 30 + 40             COMBINE

<YEA = 70

You could do <YEA by noting that consecutive angles of a Parallelogram equal 180

The value of t is 6.65

An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is a variable, and a is a constant called the base of the function.

Given:

A= 210 million

P= A e^(kt)

225 = 210 * e ^ (0.0069t)

225/210=  e ^ (0.0069t)

1.07 =  e ^ (0.0069t)

Taking log on both side

log  1.047 = 0.0069 t log e

[tex]\frac{0.0069t\ln \left(e\right)}{0.0069\ln \left(e\right)}=\frac{\ln \left(1.047\right)}{0.0069\ln \left(e\right)}[/tex]

t= log ( 1.047) / 0.0069

t= 6.65

Hence, value of t is 6.65.

Learn more about this  exponential function here:

https://brainly.com/question/12889747

#SPJ1

Answer:

Step-by-step explanation:

The adjustment of thicker fur will be selected over thinner fur, and the population will develop. Then the correct option is D.

Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.

In a mouse population, some mice have thicker fur than others, but there are more mice with thinner fur.

The climate in which these mice live has slowly gotten colder.

The change in the environment most likely affect the mouse population will be

The adjustment of thicker fur will be selected over thinner fur, and the population will develop.

Then the correct option is D.

More about the decision-making link is given below.

https://brainly.com/question/3369578

#SPJ1

Answer:

D.  4

Step-by-step explanation:

Given expression:

[tex]-2x^2-4x+10[/tex]

To find the value of the expression when x = -3, substitute x = -3 into the expression:

[tex]\implies -2(-3)^2-(-3)x+10[/tex]

Apply exponent rule  [tex](-a)^2=a^2[/tex]:

[tex]\implies -2(3^2)-4(-3)+10[/tex]

[tex]\implies -2(9)-4(-3)+10[/tex]

[tex]\implies -18-4(-3)+10[/tex]

Apply rule [tex]-(-a)=a[/tex] :

[tex]\implies -18+(4)(3)+10[/tex]

[tex]\implies -18+12+10[/tex]

Add/subtract from left to right:

[tex]\implies -6+10[/tex]

[tex]\implies 4[/tex]

Let's find

The complete question is

"Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?"

The solution is the intersection region of all the solutions in the system of inequalities.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

We know that the lines are given as;

x + 3y = -3

y = 1/2 x + 1

Solving for "y" from the first line;

3y = -3 - x

y = -1 - x/3

For the line x + 3y = -3  the x-intercepts;

y = 0

y = -1 - x/3

0 = -1 - x/3

x/3 = -1

x = -3

And the y-intercept;

y = -1

For the line y = 1/2 x + 1 the x-intercepts;

y = 0

0= 1/2 x + 1

1/2x = -1

x = -2

And the y-intercept

x = 0

y = 1

Now we can graph both lines,

The solution is the intersection region of all the solutions in the system of inequalities.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ1

Answer:

(a) = 13

(b) = 8

(c) = 5

Step-by-step explanation:

Addition theorems on sets are

Theorem 1 :

n(AuB) = n(A) + n(B) - n(AnB)

Theorem 2 :

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

Total number of students in the school is not given

so let there are 60 students in the school

using theorem 2

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

let n(A) = Mathematics, n(B) =Physics and n(C) = Chemistry

so putting values,

   60             =    40 + 42 + 38 - 20 - 28 - 25 + n(AnBnC)

60 +73 -120 = n(AnBnC)

         13         = n(AnBnC)

therefore, there are total 13 students who take all three subjects

Number of students who had taken only Mathematics  =
n(A) - n(AnB) - n(AnC) + n(AnBnC)

40 - 20 - 25 + 13

53 - 45 = 8 students

Number of students who had taken only Physics  =

n(B) - n(BnA) - n(BnC) + n(AnBnC)

42 - 20 - 28 + 13

53 - 48 = 5 students

learn more about sets and vein diagrams at

https://brainly.com/question/2332158

#SPJ10

OC represents vector a and b drawn using the head-to-tail method.

A vector is an object that has both magnitude and direction.

The given vectors are

a =<5, −1> and b =<2,−2>

Representing vector a +b using the head and tail method

Here in the image attached with the answer ,

The vector a is represented by OA and the vector b is represented by OB

By head and tail method , the OC is drawn by extending the vector a towards b and b towards a

Vector OC = Vector OA + Vector OB

To know more about Vector

https://brainly.com/question/13322477

#SPJ1

Answer:

  14.7 quarts

Step-by-step explanation:

Use the given equivalence figures to write a proportion. Solve the proportion for the unknown value.

__

  quarts/liters = x/14 = 1/0.95 . . . . . the conversion is given as 1 qt = 0.95 L

Multiply by 14 to find x.

  x = 14(1/0.95) ≈ 14.7

There are about 14.7 quarts in 14 liters.

_____

Additional comment

You are given a value in liters (14 liters) and asked for the equivalent in quarts. That means you want to change the units from liters to quarts. To do that, you can multiply the given value (14 liters) by a conversion factor that has quarts in the numerator and liters in the denominator. That is what the fraction 1/0.95 is in the above. You will note that units of liters cancel in this equation.

  [tex](14\text{ liters})\times\dfrac{1\text{ quart}}{0.95\text{ liter}}=\dfrac{14}{0.95}\text{ quarts}\approx14.7\text{ quarts}[/tex]

This rule, "use a conversion factor that divides by the units you don't want and multiplies by the units you do want" applies to any units conversion problem. The conversion factor you use should always have equal quantities in the numerator and denominator. (Here, the equal quantities are 1 quart and 0.95 liters.)

You will notice that we treat units just like any variable. They can be multiplied, divided, cancelled, raised to a power. Only terms with like units can be added or subtracted.

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

Herein we have a quadratic equation of the form a · x² + b · x + c = 0, whose discriminant is:

d = b² - 4 · a · c     (1)

There are three possibilities:

If we know that a = 3, b = 7 and c = - 2, then the discriminant is:

d = 7² - 4 · (3) · (- 2)

d = 49 + 24

d = 73

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

To learn more on quadratic equations: https://brainly.com/question/2263981

#SPJ1

Answer:

x= 5

Step-by-step explanation:

factorised the equation is (x-5) (x+3)

x=5 x=-3

Using translation concepts, it is found that this transformation can be described as a reflection across the x-axis.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, considering the vertices of quadrilateral 1 and quadrilateral 2, the transformation from quadrilateral 1 to quadrilateral 2 has the following format:

(x,y) -> (x, -y).

Which means that it can be described as a reflection across the x-axis.

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Observe the diagram below with indexes on the shapes.

The transformations are:

The value of x will be 4 ,  Option A is the answer.

A triangle that has one angle as 90 degree is called a Right angled Triangle.

In a right angled triangle

the length of the sides can be determined using Pythagoras Theorem

The length of the side is given in the image attached as

x-2 , x , √20

Hypotenuse ² = Perpendicular² + Base²

(√20)² = x² + (x-2)²

20 = x² + x² +4 -4x

2x²-4x -16 = 0

x² -2x -8 = 0

x² - 4x +2x -8 = 0

x (x-4) +2(x-4) = 0

(x+2)(x-4) = 0

x = -2 , 4

The value of x will be 4 .

Therefore Option A is the answer.

To know more about Right Angled Triangle

https://brainly.com/question/3770177

#SPJ1

formula is lsquare so answer is 25ft

Answer:

48 miles per hour I hope I helped you have a nice day

Answer:

Ok ya sure I would love to. :)

Step-by-step explanation:

Oh wait….

*Crickets chirping*

Answer:

66560 pairs

Step-by-step explanation:

let the number of pairs of boots the company makes in 260 days = X

1day -----------------256pairs

260days-------------X

cross multiplying

1×X = 260×256

X= 66560

therefore, in 260days, he makes 66560 pairs