Krista deposited $1000 into
an account. She made no
additional deposits or withdrawals.
Krista earned 4.296 annual simple
interest on the money in the account.
What was the balance in dollars and
cents in Krista's account at the end
of 6 years?

SOLUTION:

=) 49/64 is the answer I think

Answer:

0.38km²

Step-by-step explanation:

A=h and b/2

= 1·0.75/2=

0.375km²

Answer:

1.)  12

2.)  36

3.)  36

4.)  36

5.)  72

6.)  72

7.)  120

8.)  30

Step-by-step explanation:

You're welcome make me brainliest :)

Answer: LCM=least common multiple so

Step-by-step explanation: 1)12

2)18 3)36 4)36     5)72    6)72    7)120    8)30

Hello.

Remember, equivalent means equal.

Let's simplify the expression.

First, let's use the Distributive Property, which states

[tex]\hookrightarrow[/tex] [tex]\mathrm{a(b+c)=ab+ac}[/tex]

Use it:

[tex]\hookrightarrow\mathrm{-4+8(7+x)}[/tex]

[tex]\hookrightarrow[/tex] [tex]\mathrm{-4+56+8x}[/tex]

[tex]\hookrightarrow\mathrm{52+8x}[/tex]

Therefore, the answer is

[tex]\mathrm{52+8x}[/tex]

I hope this helps you.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

[tex]\sec(\theta)[/tex]

Step-by-step explanation:

[tex]\csc(\theta)=\dfrac{1}{\sin(\theta)}\\\\\\\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}\\[/tex]

Therefore,

[tex]\csc(\theta) \times \tan(\theta)=\dfrac{1}{\sin(\theta)}\times\dfrac{\sin(\theta)}{\cos(\theta)}=\dfrac{1}{\cos(\theta)}=\sec(\theta)\\[/tex]

Answer:

Therefore the equation is y=-x+4 (correct optlon: C)

Step-by-step explanation:

In order to find the equation that passes through both points, we can use the slope-intercept form of the linear equation:

y=mx+b

Where m is the slope and b is the y-intercept.

Using the given points on this equation, we have:

(-4,8):

(-4,8):8=m*(-4)+b

(-4,8):8=m*(-4)+bb=8+4m

(-4,8):8=m*(-4)+bb=8+4m(1,3):

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-8

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-85m=-5

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-85m=-5m=-1

(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-85m=-5m=-1b=8+4*(-1)=8-4=4

Therefore the equation is y=-x+4 (correct optlon: C)

Observe the abscicca and ordinates

*Note that:- y-coordinate is ordinate and x-coordinate is abscicca.

Observe the graph and mark the point where function meets y-axis

*Note that:- The point of the graph where the function meets y-axis is called y-intercept.

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

Thus, Option C is the correct choice!!~

Answer:

Tavian is correct.

Step-by-step explanation:

If you solve the systems of equations, y=0 and x=7, so the solution is (7, 0).

Answer:

length= 12cm

perimeter= 40cm

Step-by-step explanation:

[tex]area = {96 \: cm}^{2} \\ breadth = \: 8cm \\ therefore = \: length \: \\ = 96 \div 8 \: = 12cm[/tex]

perimeter= (length+breadth)2

length= 12cm

breadth= 8cm

perimeter = (12+8)2

20×2= 40

Will recommend to keep in touch with picture as name of angles are based on it!

[tex] \\ [/tex]

So as you can see BA is parallel to DC as the arrow signs are made on it. And the figure has four sides , therefore we get to know that the above picture is of parallelogram.

[tex] \\ [/tex]

[tex] \rm\angle B = \angle D [/tex]

How ?

As we know it's a parallelogram, so there's one property of parallelogram that opposite sides of Angle are equal.

[tex] \\ [/tex]

[tex] \hookrightarrow \sf2x =130 \degree [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =130 \degree\div 2 \degree [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{130}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times 10}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times\cancel{ 10}}{\cancel2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times5}{1} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =13 \times5[/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =65 \degree[/tex]

[tex] \\ [/tex]

Now Let's find value of y.

[tex] \rm \angle DAB =\angle DCB[/tex]

How ?

As we know it's a parallelogram, so there's one property of parallelogram that opposite sides of Angle are equal.

[tex] \\ [/tex]

[tex] \dashrightarrow \rm x = y[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \rm 65 = y[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf y = 65 \degree[/tex]

[tex] \\ [/tex]

angles on same line

[tex] \\ [/tex]

At last :-

x = 65°

y = 65°

z = 55°

The values of the unknown x, y and z in the figure are 65°, 35° and 85° respectively.

Data

The sum of angles in a parallelogram is equal to 360°. To solve for all the missing numbers, we have to use some properties of parallelogram.

2x = 130

Reason: Opposite angles in a parallelogram are equal.

let's solve for x

[tex]2x = 130 \\\frac{2x}{2} = \frac{130}{2}\\x = 65^0[/tex]

The value of x is 65°

Let's solve for y

[tex]x+ 130 + y + 2x= 360\\x = 65\\65 + 130 + y + 2(65) = 360\\325 + y = 360\\y = 360 - 325\\y = 35[/tex]

The value of y is 35°

Let's solve for z

[tex]60 + y + z = 180[/tex]

reason: sum of angles on a straight line is equal to 180°

[tex]60 + y + z = 180\\60 + 35 + z = 180\\95 + z = 180\\z = 180 - 95\\z = 85^0[/tex]

The values of the unknown x, y and z in the figure are 65°, 35° and 85° respectively.

Learn more on parallelograms here;

https://brainly.com/question/24056495

Answer is 0.42. Hope that helps.

Can you please answer comment i place on your question? I will give you a full description and answer for the work if you do.

Answer:

√12

Step-by-step explanation:

Use the Phythagorean Theorem.

2² + b² = 4²

= 4 + b² = 16

 -4            -4

= b² = 12

√12

Answer:

[tex]\sqrt{12}[/tex] or [tex]2\sqrt{3}[/tex] (simplified)

Step-by-step explanation:

Pythagorean theorem is

α²+b²=c²

a is the leg, which is 2 in this triangle

b is the base, which x in this triangle

c is the hypotenuse, which is 4 in this triangle

So, we can plug in the values:

2²+x²=4²

4+x²=16

-4       -4

x²=12

x=[tex]\sqrt{12}[/tex], or if simplified: [tex]2\sqrt{3}[/tex]

Hope this helps!

Answer:

a) P(not red) = 37/49

b) P(purple) = 17/49

Step-by-step explanation:

Prob. of not red = (20+17) / (12+20+17) = 37/49

Answer:

6 ln x + 3 ln y

Step-by-step explanation:

Parabolas are used to represent curved functions

The shortest distance between the parabola and the point is [tex]x = -\frac 1{2}[/tex]

The parabola is given as:

[tex]y=(7x+5)^{1/2}[/tex]

Rewrite as:

[tex]y=\sqrt{7x+5}[/tex]

Let p represent a point on the parabola.

So, we have:

[tex]P(x,\sqrt{7x + 5})[/tex]

Next, calculate the distance between P and the point (3,0) using the following distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

So, we have:

[tex]d = \sqrt{(x- 3)^2 + (\sqrt{7x + 5})^2[/tex]

[tex]d = \sqrt{x^2- 6x + 9 + 7x + 5}[/tex]

Evaluate the like terms

[tex]d = \sqrt{x^2+ x + 14}[/tex]

Square both sides

[tex]d^2 = x^2+ x + 14[/tex]

The shortest distance is then calculated as:

[tex]x = -\frac b{2a}[/tex]

Where:

a = 1, b = 1 and c = 14

So, we have:

[tex]x = -\frac 1{2*1}[/tex]

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

Hence, the shortest distance between the parabola and the point is [tex]x = -\frac 1{2}[/tex]

Read more about parabolas at:

https://brainly.com/question/4061870

Answer:

Yes, it could be a probability

Step-by-step explanation:

The probability of an event HAS to be between the numbers 0 and 1. Not less than 0, not greater than 1. The number 0.12 is between 0 and 1, thus, making it a valid probability.

answer:

$47.92

explanation:

$3.88 × 16=$62.08

$110-$62.08=$47.92

the 16 is the days

110is the budget

3.88 is the cost

hope that helps

The total money Helen have left after 16 days will be $47.92

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that Helen budgets for coffee from the coffee bar located in the lobby of her apartment building was  $110. And she stops by the bar every morning and her average order costs $3.88.

The budget = 110 dollars

The average cost = 3.88 dollars

Then the average order costs for 16 days;

$3.88 × 16 = $62.08

Therefore, the money she have left after 16 days;

$110-$62.08=$47.92

Hence, The total money she have left after 16 days will be $47.92

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

Dilate, Reflect

Not congruent, dilations are used

Step-by-step explanation:

Dilate the figure by a scale factor of 1/3

Reflecting the resulting shape will map the figure

Step 1: Dilate by 1/3

Step 2: Reflect over the y-axis

Since dilations are used, the figures are not the same, as it changes area and side lengths.

-Chetan K

Answer:

=] - 13

Step-by-step explanation:

=>21+(-34)

=> 21-34

=> -13

Answer:

  (c)  $63.75

Step-by-step explanation:

The discounted price will be 100% -25% = 75% of the marked price. Mike's final price will be ...

  ($80 +5)×0.75 = $63.75

[tex]\bold{\huge{\underline{ Solution}}}[/tex]

Let assume that the distance between the golf ball and central of green is x

Here,

According to the law of cosine :-

[tex]\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}[/tex]

So, For Hypotenuse law of cosine will be :-

[tex]\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}[/tex]

Subsitute the required values,

[tex]\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}[/tex]

[tex]\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}[/tex]

[tex]\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}[/tex]

[tex]\sf{ x^{2} = 22500 + 900 + 156.6}[/tex]

[tex]\sf{ x^{2} = 23556.6}[/tex]

[tex]\bold{ x = 153.48\: yards }[/tex]

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

Answer:

[tex]\dfrac{19}{25}[/tex]

Step-by-step explanation:

[tex]\left(\dfrac{4}{10}+\dfrac{6}{10}\right)-\left(\dfrac{4}{10} \times \dfrac{6}{10}\right)[/tex]

[tex]=\left(\dfrac{10}{10}\right)-\left(\dfrac{24}{100} \right)[/tex]

[tex]=\left(\dfrac{100}{100}\right)-\left(\dfrac{24}{100} \right)[/tex]

[tex]=\dfrac{76}{100}[/tex]

[tex]=\dfrac{19}{25}[/tex]

Solution:

Note that:

Simplify the expression:

Simplify the fraction:

19/25 is the difference.

Answer:

[tex] a=\frac{9c}{2}-b [/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

[tex]a=\frac{9c}{2}-b[/tex]

Step-by-step explanation:

Isoate the variable to solve

Answer:

There are 721 columns.

Step-by-step explanation:

6,489 ÷ 9 = 721