Mackenzie put $6,000.00 in a retirement account that offers 11% interest compounded annually. She makes no additional deposits or withdrawals. How much interest will she have earned at the end of 6 years? Make sure you round to the nearest hundreth!

Answer:

d)

Step-by-step explanation:

Equation of circle with center at point (h, k) and radius, r.

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

This problem:

(x − A)^2 + (y − B)^2 = C

The center is (A, B).

The radius is sqrt(C).

Answer: d)

Answer:

2

Step-by-step explanation:

Answer:

Number of curry buns is 16.

Step-by-step explanation:

Total number of buns =40.

Ratio of number of raisin buns to the number of butter buns to the number of curry buns = 7:5:8

Let number of raisin buns = 7X.

Let number of butter buns =5X.

Let number of curry buns = 8X.

Therefore,

7X+5X+8X = 40

20X = 40

X= (40/20) = 2.

Therefore number of curry buns =8X = 8×2 =16.

Answer: I think it would be 1/2, 2/2 or 2/5. If i'm wrong then i'm sorry.

Answer:

Randy's ball is 904.78 larger than Mandy's.

Step-by-step explanation:

Using math, we find that Mandy's ball is 904.78 inches in volume and if Randy's is twice the size that's, 904.78 x 2 = 1809.56. so Randy's ball is 904.78 larger than Mandy's

Answer:

All triangles add up to 180 degrees so...

180 - 43 - 59 = 78 degrees.

So x - 78 degrees.

x and y are supplementary angles so...

180 - 78 = 102.

So y = 102.

180 - 102 - 49 = 29 degrees

So z = 29 degrees

Hope this helps!

Answer:

The 95% confidence interval for the population mean mileage is

(27.917, 29.593)

The 98% confidence interval for the population mean mileage

(27.737, 29.762)

Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 64

Given that the mean of sample x⁻ = 28.75miles

Given that the standard deviation of the sample (S) = 3.4 miles

Degrees of freedom = n-1 = 64-1 =63

t₀.₀₅ = 1.9983

Step(ii):-

95% confidence interval for the population mean mileage is determined by

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })[/tex]

[tex](28.75-1.99\frac{3.4}{\sqrt{64} },28.75 + 1.99 \frac{3.4}{\sqrt{64} } )[/tex]

(28.75 - 0.845 , 28.75 + 0.845)

(27.917 , 29.593)

Step(iii):-

98% confidence interval for the population mean mileage is determined by

[tex](x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S}{\sqrt{n} })[/tex]

[tex](28.75-2.3824\frac{3.4}{\sqrt{64} },28.75 + 2.3824 \frac{3.4}{\sqrt{64} } )[/tex]

(28.75 - 1.01252 , 28.75 + 1.01252)

(27.737 , 29.762)

Final answer:-

98% confidence interval for the population mean mileage is

(27.737 , 29.762)

Answer:

[tex]x =2[/tex]

[tex]y =2[/tex]

Step-by-step explanation:

Given

[tex]9x^2 + 4(y - 2)^2 = 36[/tex]

[tex]x^2 = 2y[/tex]

Required

Solve

Substitute:  [tex]x^2 = 2y[/tex] in [tex]9x^2 + 4(y - 2)^2 = 36[/tex]

[tex]9*2y + 4(y-2)^2 = 36[/tex]

[tex]18y + 4(y-2)^2 = 36[/tex]

Open bracket

[tex]18y + 4[y^2-2y - 2y + 4] = 36[/tex]

[tex]18y + 4[y^2-4y + 4] = 36[/tex]

Open bracket

[tex]18y + 4y^2-16y + 16 = 36[/tex]

Collect like terms

[tex]4y^2+18y-16y + 16 - 36 = 0[/tex]

[tex]4y^2+2y-20= 0[/tex]

Divide through by 2

[tex]2y^2+y-10= 0[/tex]

Expand

[tex]2y^2+5y - 4y-10= 0[/tex]

Factorize

[tex]y(2y + 5) - 2(2y + 5) = 0[/tex]

Factor out 2y + 5

[tex](y -2)(2y + 5) = 0[/tex]

Split

[tex]y - 2 =0\ or\ 2y + 5 = 0[/tex]

Solve for y

[tex]y =2 \ or\y = -\frac{5}{2}[/tex]

We have:

[tex]x^2 = 2y[/tex]

Make x the subject

[tex]x = \sqrt{2y[/tex]

The above is true for positive y values.

So: [tex]y =2[/tex]

This gives

[tex]x = \sqrt{2*2[/tex]

[tex]x = \sqrt{4[/tex]

[tex]x =2[/tex]

Answer:

wheres the diagram???

Step-by-step explanation:

Answer:

1. adjacent: ∠ACB and ∠BCD.

vertical: ∠ACB and ∠ECDStep-by-step explanation:

Answer:

C.

Step-by-step explanation:

Hope this helps! have a great day!

Answer:

The answer is D.

Answer:

The answer would be 792

Step-by-step explanation:

Lateral surface area for this objects formula is 2lh + 2lb because of its rectangular prism shape.

Answer:

8 yogurts or it will be 1 yogurt

Step-by-step explanation:

Since practically you cannot purchase "0.57" parts of one yogurt 3 pounds (300 p) would allow you to purchase only 8 yogurts...

Answer:

9.  [tex] \frac{1}{10,000} = 0.0001 [/tex]

10. [tex] \frac{1}{81} [/tex]

Step-by-step explanation:

9. [tex] x^{-4} [/tex]

Evaluate when x = 10.

Substitute x = 10 into the expression

[tex] 10^{-4} [/tex]

Apply the negative exponent rule ([tex] a^{-n} = \frac{1}{a^n} [/tex])

Thus:

[tex] = \frac{1}{10^4} [/tex]

[tex] = \frac{1}{10^4} = \frac{1}{10,000} = 0.0001 [/tex]

10. [tex] 2a^{-1}b^{-3} [/tex]

Evaluate when a = 6 and b = 3

Substitute

[tex] (2*6^{-1})(3^{-3}) [/tex]

Apply the negative exponent rule

[tex] (2*\frac{1}{6})(\frac{1}{3^3}) [/tex]

[tex] (\frac{2}{6})(\frac{1}{27}) [/tex]

[tex] \frac{2*1}{6*27} [/tex]

[tex] \frac{1}{81} [/tex]

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

plugging the value of x as 10, we get

[tex]\longrightarrow\: \: x {}^{ - 4} [/tex]

[tex]\longrightarrow\: 10 {}^{ - 4} [/tex]

[tex]\longrightarrow \dfrac{1}{10 {}^{4} } [/tex]

[tex] \longrightarrow\dfrac{1}{10000} [/tex]

[tex]\longrightarrow0.0001[/tex]

plugging the value of

[tex]\longrightarrow2 {a}^{ - 1} b {}^{ - 3} [/tex]

[tex]\longrightarrow2 \times 6 {}^{ - 1} \times 3 {}^{ - 3} [/tex]

[tex]\longrightarrow \dfrac{2}{6 \times 27} [/tex]

[tex]\longrightarrow \dfrac{2}{162} [/tex]

[tex]\longrightarrow \dfrac{1}{81} [/tex]

_____________________________

[tex] \\ \\ \mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

19

Step-by-step explanation:

|-8 -11|=19

Answer:

3

Step-by-step explanation:

when you have 2 negitives it makes a positive which cancelles it out and it equals 3

Answer:

i think the question is incomplete but

Tina at an average contains each package of

50 sheets ÷ 8 pack

6.205 of sheet in each pack

125 sheets ÷ 3 packs

caz contain at average 41.60 sheet average

but where the juan packs of paper that's why question is incomplete

A 3-D figure is a shape that its three surfaces can be observed at the same time.  Therefore, required answer to the given question is: A. Two regular octagons and eight congruent rectangles.

When the length, width and height of a given shape can be observed at the same time, then its is said to be in a 3-D. However, polygons are shapes which has 3 or mores sides. Examples are: trigon, hexagon, octagon etc.

Thus, since the 3-D figure required in the question has two bases in the shape of regular octagon, which should have 8 sides connected by congruent polygons of length greater than their width.

This implies that the sides of the figure must be made up of eight congruent rectangles, because the 3-D figure has eight regular sides (which would be the width of the rectangles). Then, the height of the figure would be the length of the rectangles.

So, the correct option to the given question is A. Two regular octagons and eight congruent rectangles.

A sketch is attached to this answer for more clarifications.

For reference: https://brainly.com/question/12504553

Answer:

Two regular octagons and eight congruent rectangles

Step-by-step explanation:

Based on the picture in my test, I am positive the description and the picture are of the same thing.  In the picture, I can see eight congruent rectangles and two octagons.  I also got this right on my test.

picture of object:

Answer:

x=16°

Step-by-step explanation:

tanθ=opposite/adjacent

tan(<CAB)=BC/AB

<CAB=tan⁻¹(21/29)=35.9097308°

tanθ=opposite/adjacent

tan(<DAB)=BD/AB

<DAB=tan⁻¹((21/2)/29)=19.90374954°

<CAB=<DAB+x

x=<CAB-<DAB

=35.9097308-19.90374954

x=16.00598126°

Answer:

i have made it in above picture

hope it helps

9514 1404 393

Answer:

  y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

  y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

  9 = a(b^0) = a

  2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

  (2187/9) = b^5

  243^(1/5) = b = 3

The exponential function is ...

  y = 9(3^x)

Answer:

1  and 1/6

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

Transfer 1/3 to 2/6 and add it with 5/6

Answer:

7.14cm

Step-by-step explanation:

Answer:

Section 2

Step-by-step explanation:

I will pick the section with the largest angle.

Let's determine the size of the angle of each section.

Given:

m∠ABD = 2x+3,

m∠CBD = 4x+7,

m∠ABC = 40°

Thus:

m<ABD + m<CBD = m<ABC (angle addition postulate)

Substitute

2x + 3 + 4x + 7 = 40

Add like terms

6x + 10 = 40

6x + 10 - 10 = 40 - 10

6x = 30

6x/6 = 30/6

x = 5

✔️m∠ABD = 2x+3

Plug in the value of x

m<ABD = 2(5) + 3 = 13° (section 1)

✔️m∠CBD = 4x+7

m∠CBD = 4(5) + 7

m∠CBD = 27° (section 2)

✅I will pick section 2 because it is the section with the largest angle, which means it is the biggest.

Answer: 60 test tubes

Step-by-step explanation: 41.4/60 = 0.69

Answer:

letter A because it's representing 100% plus some so it is increasing.