Hei has $1,400 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,400. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary. HELP ASAP

Answer:

k = 52

Step-by-step explanation:

- 8 = [tex]\frac{k-4}{-6}[/tex] ( multiply both sides by - 6 to clear the fraction )

48 = k - 4 ( add 4 to both sides )

52 = k

Answer: k=52

Step-by-step explanation:

-8= k-4/-6

multiply by -6

48=k-4

add 4 to both sides

k=52 :)

Answer:

4, 3, 4

Step-by-step explanation:

The unsimplified ratio of squares to triangles is 6:8, which simplifies to 3:4. That means, for every 3 squares, there are 4 triangles

As stated above, the simplified ratio of squares to triangles is 3:4

Answer: A

Step-by-step explanation:

If 2sinθ = 6/5, then the value of cos (90 - θ) will be 3/5. Then the correct option is A.

We can use the fact that:

sinθ = cos(90 - θ)

to convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).

If 2sinθ = 6/5.

Then the value of cos (90 - θ) will be

cos (90 - θ) can be written as sin θ

Then we have

cos (90 - θ) = sin θ

cos (90 - θ) = 3/5

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Answer:

16

Step-by-step explanation:

2^10 = 1,024

2^6 = 64

1,024/64 = 16

Hope that helps!

Answer:

(b) is inverse while (a) is not inverse.

Step-by-step explanation:

we can see this since the values of x and y should flip if the function is inverse. we see this in (b) but not in (a).

Answer:

323

Step-by-step explanation:

.75 x   = 255

x = 255 / .75 = 340

340 * .95 = 323

Answer:

[tex]95[/tex]% of x ([tex]340[/tex]) = [tex]\boxed{\bf\:323}[/tex]

Step-by-step explanation:

Let the number be taken as 'x'.

Given,

Then,

1) [tex]75[/tex]% of x = [tex]255[/tex]

[tex]\frac{75}{100} x = 255\\\frac{3}{4}x=255 \\x=255\times \left(\frac{4}{3}\right) \\x=\frac{255\times 4}{3} \\x=\frac{1020}{3} \\\underline {\bf\:x=340} \: \: \: \: \dashrightarrow eq. 1[/tex]

2) [tex]20[/tex]% of x = [tex]68[/tex]

[tex]\frac{20}{100} x = 68\\\frac{1}{5} x = 68\\x = 68 \times 5\\\underline{\bf\:x = 340 } \: \: \: \:\dashrightarrow eq.2[/tex]

We can see from eq.1 & eq.2 that we get the value of 'x' equal to [tex]\boxed{\bf\:340}[/tex] .

Now,

3) [tex]95[/tex]% of x = [tex]\boxed{?}[/tex]

[tex]\frac{95}{100}\times(340) \\= \frac{19}{20}\times 340 \\= \frac{19\times 340}{20} \\= \frac{6460}{20} \\= \boxed{\bf\:323 }[/tex]

[tex]\rule{150pt}{2pt}[/tex]

The speed of light is 3.0 ×108m/s.

We have ask about the theory of Albert Einstein,

According to einstein, nothing in the universe can move faster than light

Albert Einstein said that nothing travels faster than the speed of light, and the speed of light is

[tex]3.0\times108 m/s[/tex]

So that the nothing can travels faster than the speed of light.

light travels with very high speed.

Therefore we get the correct option is 3.

That is the speed of light is 3.0 ×108m/s.

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Answer:

the center is (-2,4) and the raduis is 3

Step-by-step explanation:

For equations of circles, the center will be the inverse of the euation. for example. If the equation had (x+3)^2 and (x-4)^2 the center is (-3,4).

And for the raduis of a circle equation it is always r^2. Since the 9 is in place, 3^2 is just 3x3 = 9.

I hoped this helped, would appreciate if you marked brainliest!

Answer:

Step-by-step explanation:

take figure a and dilate it bigger by 3 that will mean it is bigger and the shapes will be the same.

distance : 15 units

coordinates :  (7,0) and (-8, 45)

slope:

[tex]\sf \rightarrow \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \rightarrow \dfrac{45-0}{-8-7}[/tex]

[tex]\sf \rightarrow -3[/tex]

equation:

[tex]\hookrightarrow \sf y - 0 = -3(x-7)[/tex]

[tex]\hookrightarrow \sf y = -3x+21[/tex]

the y-intercept of this function:

[tex]\hookrightarrow \sf y = -3(0)+21[/tex]

[tex]\hookrightarrow \sf y =21[/tex]

distance between both y-intercept :

Answer:

length= 52 feet,

width= 15 feet

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]

Let the length and the width of the rectangle bs L and W feet respectively.

L= 4W -8 -----(1)

Perimeter of rectangle= 2(length +width)

2(L +W)= 134

Divide both sides by 2:

L +W= 67 -----(2)

[tex]\textcolor{steelblue}{\text{\textcircled{2} Solve for one variable}}[/tex]

Substitute (1) into (2):

4W -8 +W= 67

5W -8= 66

5W= 67 +8

5W= 75

W= 75 ÷5

W= 15

[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve for the other variable}}[/tex]

Substitute W= 15 into (1):

L= 4(15) -8

L= 60 -8

L= 52

[tex]\textcolor{steelblue}{\text{\textcircled{4} Write concluding statement}}[/tex]

Thus, the rectangle's length is 52 feet, and its width is 15 feet.

Answer:

  √89

Step-by-step explanation:

The Pythagorean theorem relates the measures of sides in a right triangle. For legs 'a' and 'b' and hypotenuse 'c', it tells you ...

  c² = a² +b²

  c² = 5² +8² = 25 +64 = 89

  c = √89 . . . . the length of the third side

Answer:[tex]\sqrt{89}[/tex]

Step-by-step explanation:

opposite=8

Adjacent=5

Hypotenuse= ?

Using pythagoras theorem,

[tex]Hyp^{2} = Opp^{2} + adj^{2}[/tex]

[tex]Hyp^{2}[/tex]= [tex]8^{2} +5^{2}[/tex]

[tex]Hyp^{2}[/tex]=64 +25

[tex]Hyp^{2} =89[/tex]

Take the square root of both sides.Square and square root will cancel out leaving Hypotenuse

Hyp=[tex]\sqrt{89}[/tex]

Answer:

45

Step-by-step explanation:

Lets split the problem then add/subtract at the end

3 x 6 = 18

Due to Order of operations we do 2^3 first then multipy by 4

so 2^3 = 8 Then we do 8 x 4 = 32

Now we add/subtract

18 + 32 - 5 = 45

45 is the answer

Answer:

45

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtration

[tex]3(6) + 4(2)^3 - 5 < ==multiply\ the\ exponents\ first\\\\18+4(8)-5 < ==multiply\ first\\\\18+32-5 < ==addition\ before\ subtraction\\\\50-5 < == subtract\\\\45 < == final\ answer[/tex]

Hope this helps!

The area of the kite is the amount of space it occupies

The area of the assumed kite is 25 square units

The question is incomplete, as the dimensions of the kites are not given.

So, I will provide a general explanation

The area of a kite is:

Area = 0.5pq

Where p and q are the lengths of the diagonals of the kite.

Assume that p = 5 and q = 10, for a kite.

The equation becomes

Area = 0.5 * 5 * 10

Evaluate

Area = 25

Hence, the area of the assumed kite is 25 square units

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Answer:

-5 ± √5² - 4 · 1 · 4

         2 · 1

Step-by-step explanation:

ax²+bx+c=0 (quadratic equation)

x= -b ± √b² - 4ac

           2a

a= 1

b= 5

c= 4

-5 ± √5² - 4 · 1 · 4

            2 · 1

Answer:

Step-by-step explanation:

The given transformation moves each point horizontally to the same distance on the other side of the y-axis. This is shown in the attachment.

__

The given rule ...

  (x, y) → (-x, y)

is the most precise description of the transformation. In English, it can be described as a reflection in the y-axis.

a is the answer because it makes sense and it's very logical

Hello!

We have

4kp×k

Multiply 4 times k times k times p:

4k²p

k² = k times k (k times itself)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

[tex]\boxed{An~Emotional~Helper~here~}[/tex]

Answer:

-3.86

Step-by-step explanation:

Answer:

$10.8

Step-by-step explanation:

Multiply 18 to .4 to get 7.2. Then subtract the 40% discount from the sale price. 18-7.2 = $10.8

Answer:

$11.75

Step-by-step explanation:

We need to first subtract to find our answer :)

43.87 - (8 + 9.49 + 2.88)

43.87 - 20.37

23.50

Now we divide :)

23.50/2 = 11.75

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Answer:

money left= -50•games played + 47.50

Answer:

Step-by-step explanation:

The expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.

To solve the expression "32 divided by 10-8 divided by 2-3," we follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

32 divided by 10 equals 3.2.

Next, perform the second division which is 8 divided by 2 which equals 4.

Subtract the result of the second division (4) from the first division result (3.2): 3.2 - 4

= -0.8.

Finally, subtract 3 from the -0.8.

-0.8 - 3

= -3.8.

Therefore, the expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.

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Answer:

C) 50°

Step-by-step explanation:

[tex]m\angle BEC= 180\degree-(65\degree+65\degree)[/tex]

[tex]\implies m\angle BEC= 180\degree-130\degree[/tex]

[tex]\implies m\angle BEC= 50\degree[/tex]

Answer:

6

Range is calculated by substracting smallest value but highest value.

Please give brainliest.

The right is answer the left is explanation

Download GAUTH MATH ( math only ) don't report my answer just delete it thank you !

Answer:

that would be A. 360.

Step-by-step explanation:

when you think about it, a 360 is doing a full circle which is the only option here, because the point stays the same.

Answer:

64 units squared

Step-by-step explanation:

If you put the points on a graph you can see the shape is a trapezoid. The left and right sides are the bases, the bottom is the height. The area formula is to average the bases and times by the height. see image. You could do a lot of distance formula and slope calculations, but on the graph you can count the squares to find side lengths.

Answer:

D

Step-by-step explanation:

You can find the answer by memorizing the values of the unit circle.