Suppose your​ friend's parents invest $ 10,000 in an account paying 5% compounded annually. What will the balance be after 8 ​years?

Answer:

    j = 11

    j = 12

Step-by-step explanation:

   The inequality:

8 ≤ j

   We will test all the options given.

-> In short, all options greater or equal to 8 will be solutions.

j = 12

8 ≤ j

8 ≤ 12 ✓

-

j = 5

8 ≤ j

8 ≤ 5 ✗

-

j = 6

8 ≤ j

8 ≤ 6 ✗

-

j =11

8 ≤ j

8 ≤ 11 ✓

Answer:

8.6

Step-by-step explanation:

If we know 10% of a number is 4.3, we can easily find 20% of the number as well.

We know 20% is 2 times 10%.

Therefore,

Using the z-distribution, it is found that the margin of error for the true proportion of times this die would land on five dots is of 0.1338.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate and the sample size are given as follows:

[tex]\pi = \frac{25}{30} = 0.8333, n = 30[/tex].

Hence the margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.8333(0.1667)}{30}}[/tex]

M = 0.1338.

More can be learned about the z-distribution at https://brainly.com/question/25890103

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For this case we have the following notation:

y= the number of minutes that you read

x = the number of minutes that your brother read

And we have that you decide to read 30 minutes longer than your brother, so the equation would be:

y = x+30

And for the other part of the question if x =15 we got:

y = 15+30 = 45

Assuming this complete question: "You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads. Write an equation for the number of minutes you read, y, when your brother reads x number of minutes.

How many minutes will you read if your brother reads for 15 minutes?"

For this case we have the following notation:

y= the number of minutes that you read

x = the number of minutes that your brother read

And we have that you decide to read 30 minutes longer than your brother, so the equation would be:

y = x+30

And for the other part of the question if x =15 we got:

y = 15+30 = 45

Answer:

180 in^2

Step-by-step explanation:

S=(1/2)lP + B

B = 10x10 = 100

P = 10(4) = 40

l is 4, but you could also use the fact that each triangular side is A=(1/2)bh.

(1/2)4 x 10 = 20

20(4) = 80

add 100 + 80 = 180

Answer:

[tex]A_{total} = 16\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the top rectangle

We can tell that the total shape seems like two rectangles glued together.  We can separate the top rectangle and determine the area of it and then determine the area of the bottom rectangle and combine them.  Lets first solve the left rectangle.

[tex]A=l*w[/tex]

[tex]A_{top\ rectangle}=6\ cm * 2\ cm[/tex]

[tex]A_{top\ rectangle}=12\ cm^2[/tex]

Step 2:  Determine the area of the bottom rectangle

[tex]A=l*w[/tex]

[tex]A_{bottom\ rectangle}=2\ cm * 2\ cm[/tex]

[tex]A_{bottom\ rectangle}=4\ cm^2[/tex]

Step 3:  Determine the total area

[tex]A_{total}=A_{top\ rectangle}+A_{bottom\ rectangle}[/tex]

[tex]A_{total}=12\ cm^2+4\ cm^2[/tex]

[tex]A_{total} = 16\ cm^2[/tex]

Answer:  [tex]A_{total} = 16\ cm^2[/tex]

Break in middle horizontally

For square (Below)

For rectangle

Total area

Answer:

answer = 90

Step-by-step explanation:

General equation:  a = k*b^2

Specifically:          10 = k*(3)^2 = 9 k

Solving for k:  k = 10/9

Then a = (10/9)b^2.    If b = 9, then a = (10/9)(9)^2 = 90 (answer)

Answer:

7

Step-by-step explanation:

its a trick question !!

Answer:

This seems like a tricky question... i keep second guessing myself but here goes nothing....

7 servings

please read the explanation.... it always helps....

Step-by-step explanation:

Okay... so we know from the problem that each serving takes one full cup of sauce, and we also know that Grace has seven cups of sauce.... therefore we can conclude that she can make seven servings since 7/1 is 7.

Im not really sure why the question tells us that she uses a 1/3 scoop when we don't really need that when solving the question (which is why i am second guessing myself, but oh well)

i really hope this helps!!!

Answer:

Step-by-step explanation:

Remark

The sine of an angle involves the Hypotenuse. So the first job is to find that.

When you do Sin(H) = opposite / hypotenuse

Hypotenuse

Givens

a = √3

b = √13

c = ?

c is the hypotenuse.

Equation

c^2 = a^2 + b^2                  Substitute values

Solution

c^2 = (√3)^2 + (√13)^2

c^2 = 3 + 13                         Combine

c^2 = 16                               Take the Square Root of Both Sides

√c^2 = √16      

c = 4

Sin(H) = opposite / Hypotenuse

Opposite = √3

Hypotenuse = 4

Sin(H) = √3/4

Sin(H) = 1.7321/4

Sin(H) = 0.4330

Answer

Sin(H) = 0.43

Answer: It finally let me answer this. Give me brainliset if another person answers. You have to make a bar graph and then put the same info on it.

Step-by-step explanation:

1)

SOLUTION

5(x+5) = 6. (6 +9)

90 = 5x + 25

13 = x

2)

SOLUTION

x (3) = (4) (6)

3x = 24

x= 8

3)

SOLUTION

3 (3 + x + 2) = (x+1)(x + 1 + x – 1) Use Theorem

3x + 15=2x²+2x

0 = 2x² – x – 15

0 = (x – 3) (2x + 5) Solve for x

3 = x Use positivesolution

Answer:

39

Step-by-step explanation:

[tex]\sqrt{100-36}+32-1\\\sqrt{64}+31\\8+31\\39[/tex]

Hey there!

√(100 – 36) + 32 – 1

= √(64) + 32 - 1

= 8 + 32 – 1

= 40 – 1

= 39

Therefore, the answer should be: 39

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

6:09

Step-by-step explanation:

6:09 is one minute after 6:08

Answer:

3(3z + 5)

Step-by-step explanation:

You have to factor out 3 from 9z+15 :)

Please mark brainliest

Answer:

1st choice : 706.5 square inches

Step-by-step explanation:

circumference is pi times diameter

divide 94.2 by pi to get diameter = 29.9847912785

diameter 29.9847912785 divided by 2 is

14.9923956393 which is the radius

area is pi times radius times radius again

pi times 14.9923956393 times 14.9923956393 =

706.141834613

Answer: 128°

Step-by-step explanation:

   There are 360° in a trapezoid. Since this is a right trapezoid, two of those angles will be equal to 90°. We will set up the following equation, and solve.

360° = 90° + 90° + 52° + x°

360° = 90° + 90° + 52° + x°

360° = 232° + x°

128° = x

x = 128°

   The obtuse angle has a measure of 128°.

[tex] \frac{20}{3} [/tex]

[tex] \frac {20}{3} [/tex] as a mixed number.

First, divide the numerator by the denominator.

[tex]20 \div 3 [/tex]

[tex] = 6 \: R2[/tex]

Then, write the whole number value and use the remainder as the numerator over the denominator. As we all know the denominator won't change.

[tex]\large\boxed{\sf{= 6 \frac{2}{3}}}[/tex]

Too make this easier for me or others 3/4 can be represented as 0.75. 3/4 or 0.75 x 16 = 12

More depth explanation:

Multiple: 3/

4

* 16 = 3 · 16/

4 · 1

= 48/

4

= 12 · 4/

1 · 4

= 12

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(48, 4) = 4. In the following intermediate step, cancel by a common factor of 4 gives 12/

1

.

In other words - three quarters multiplied by sixteen = twelve.

Answer:

21 mm

Step-by-step explanation:

Given,

Volume of cone ( V ) = 2307.9 mm³

Height ( h ) = 5 mm

To find : Radius ( r )

Formula : -

Volume of cone = πh/3 r²

Note : -

The value of π is 3.14

Volume of cone = πh/3 r²

2307.9 mm³ = 3.14 x 5/3 x r²

2307.9 = 5.23 x r²

Divide 5.23 on both sides,

r² = 2307.9 / 5.23

r² = 441

r² = 21 x 21

r² = 21²

r = 21 mm

Answer:

Interquartile Range

Step-by-step explanation:

The answer is the interquartile range because there is an outlier.

The data has an extreme value, of 62, so the IQR is most appropriate for this data set. The only other time the IQR is appropriate is when the data is skewed.

AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

Note, the figure is a parallelogram

Some properties of a parallelogram are:

if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.

Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

Learn more about a parallelogram here:

https://brainly.com/question/16048702

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Answer:

See below

Step-by-step explanation:

Circle equation standard form

(x-h)^2 + ( y-k)^2 = r^2       h, k is the center

All are centered at 0,0    

radii are  sqrt(225)  = 15    sqrt 49 = 7      and    sqrt 178

Answer:

y=1/2x+1= A

y=-2x-4= C

x-2= E

y=-3= F

y=1/2x+3.5=B

I hope this helps

Step-by-step explanation:

Answer:

20 miles

Step-by-step explanation:

This is a Pythagorean Theorem Problem

1. We know that one side of the triangle is 6 miles. And we know that another side is 19 miles.

2. We use the pythagorean Theorem to solve. We get

[tex]19^2+6^2=C^2[/tex]

Where C is the distance.

Solving that we get that 20 miles is the answer.

Answer:

$5×30days= $150 for the whole month

Answer: $90 saved

Step-by-step explanation:

8 - 5 = $3 dollars saved each day

Multiply daily amount saved by number of days

$3 × 30 = $90 saved

Answer:

A =281 ft^2

Step-by-step explanation:

A=2πrh+2πr^2

A = 2 (3.14) (4)(5) + 2 (3.14) (5)^2

A =281 ft^2