Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 years.

Answer:

a₁ = - 256 , r = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

Given

[tex]a_{n}[/tex] = - 256 [tex](-\frac{1}{4}) ^{n-1}[/tex] , then by comparison

a₁ = - 256 and r = - [tex]\frac{1}{4}[/tex]

Answer:

A reflection over the y-axis.

Answer:

5

Step-by-step explanation:

13² - 12² = 25

√25 = 5

Have a great day <3

Answer: the answer is 6.06%, however if it is rounded it's 6.0%

Step-by-step explanation:

Answer:

I need length, width, and height to find the volume, the equation is LxWxH

So it would be L x W x 1 3/4

Step-by-step explanation:

If you comment what the length and width is ill do it!

Answer:

The circumference would be 25.12 mm

Step-by-step explanation:

[tex]c = 2\pi r[/tex]

[tex]c = 6.28 \times 4[/tex]

[tex]c = 25.12[/tex]

Answer:

P = P (1 + r / n) ^ rt

Step-by-step explanation:

Answer

6.

Steps

30/100×30

=6

Answer:

6

Step-by-step explanation:

There are 30 students

So,

20÷100×30=6

Answer:

200

Step-by-step explanation:

103+94

=100+100

=200

Answer:

197 the nearest ten is 200

Step-by-step explanation:

he need to put the nearest ten

Answer: 56

Step-by-step explanation: According to AIA(Alternate Interior Angles Congruency) they are equal. So just solve the equation that they're both equal to each other and you get x=-6. Plug this back in to find the angle measure, 56! Hope this helped!

Answer:

x = -6

56 degrees

Step-by-step explanation:

Those two angles that are labeled are equal for a reason that I forgot (but trust me they are). So, -8x+8 = -6x+20

just solve the equation to get x = -6

after plugging in -6 for x, you get that the angles that are labeled are 56 degrees.

Step-by-step explanation:

Since there are 4 people who answered that they had 0 number of scarves we put 4 0's in a set of numbers. Then we see that there are 2 people who have 1 scarf. so there are 2 1's and we keep on going down the line.

{0,0,0,0,1,1,2,3,3,4,5,5} there are 12 numbers here

so we add up all of them

1+1+2+3+3+4+5+5=24

then divide that number by 12 because that's how many numbers there are

24/12=2

The mean of the numbers is 2

Hope that helps :)

Answer:

Step-by-step explanation:

Answer:

It depends on the type of function, but essentially the process is the same

Step-by-step explanation:

You gather up all of the y values and x values and plot them onto a coordinate grid. If you are using a calculator, go to the "y=" button and input the function and then hit "graph"

Answer:

∠ N = 31°

Step-by-step explanation:

The inscribed angle KLN is half the measure of its intercepted arc KL, so

∠ N = [tex]\frac{1}{2}[/tex] × 62° = 31°

Answer: 9. 54; 10. 220; 11. 71; 12. 262

Step-by-step explanation: Chord and tangent intersection angle is half the arc measure or circle, and inscribed angles are also half the included arc measure

Answer:

1. y=2x^2-8X-1

2. y=-6x^2+36x-63

3. y=-3x^2+18x-34

4. y=9x^2+54x+76

5. y=-x^2+8x-22

6. y=6x^2-48x+90

7. y=8x^2+16x+5

8. y=2x^2-8x+1

Have a great day :)

Answer:

20

Step-by-step explanation:

Answer:

I think the answer would be -2 . hope it helps u .

Answer:

5

Step-by-step explanation:

Distance Equation Solution:

[tex]d=\sqrt{(2-(-1)^2+(6-2)^2}\\d=\sqrt{(3)^2+(4)^2} \\d= \sqrt{9+6}\\d= \sqrt{25}\\d=5[/tex]

Answer:

12.61 miles

Step-by-step explanation:

The distance of lighthouse B from lighthouse A, the distance from lighthouse A to the boat and the distance of lighthouse B from the boat all form a triangle. Since lighthouse B is west of lighthouse A, and at a distance of 9 miles form lighthouse A, light house A is at a bearing of North 90° East of lighthouse B. The distance from lighthouse A to the boat is 6 miles, and the bearing of the boat from lighthouse B is North 64° East.

So, the angle between the distance from lighthouse B to the boat and lighthouse B to lighthouse A is 90° - 64° = 26°

Since we have two sides and an angle, we use the sine rule

a/sinA = b/sinB where a = 6, A = 26°, b = 9, B = unknown

So, sinB = bsinA/a

= 9sin26/6

= 3(0.4384)/2

= 1.3151/2

= 0.6576

B = sin⁻¹(0.6576)

= 41.11°

≅ 41.1°

We now find the third angle in the triangle, C(the angle facing the distance from lighthouse B to the boat) from

26° + 41.1° + C = 180° (sum of angles in a triangle)

67.1° + C = 180°

C = 180° - 67.1° = 112.9°

Using the sine rule again to find the third side, c(the distance from lighthouse B to the boat), we have

a/sinA = c/sinC

c = asinC/sinA

= 6sin112.9°/sin26°

= 6(0.9212)/0.4384

= 5.5271/0.4384

= 12.61 miles

Answer: No

Step-by-step explanation: Vincent started 10 miles ahead so Bill will never catch up at this rate

Answer:

Hey I have the answer in a link

Look down For link!

Cmon half way there

jkjk

First part (tip amount)

$6.26

Second part (Total bill)

$41.04

Step-by-step explanation:

Well to find the percentage of a number, convert the percent into a decimal which is basically moving the decimal place 2 places to the left. THen you multiply that amount by the original number an din this case you would get 6.2604. You round that to the nearest penny (or hundreths) and you;d get $6.26. Thats the first part

The second part is simple, you add the tip with the total bill and you would get $41.04.

Answer:

(f*g)(x) = 3x^2 + 25x - 18

Step-by-step explanation:

(f*g)(x) represents the product of the two functions f and g:

(f*g)(x) = 27x - 18 + 3x^2 - 2x, or, after simplification,

(f*g)(x) = 25x - 18 + 3x^2, or

(f*g)(x) = 3x^2 + 25x - 18

Answer:

7: 15

Step-by-step explanation:

Answer:

$157.30

Step-by-step explanation:

Width of the rectangular bedroom = 11 3/4 feet

Length of the rectangular bedroom = 15 3/4 feet

Area of the rectangular bedroom = length × width

= 15 3/4 × 11 3/4

= 63/4 × 47/4

= 2,961 / 16

= 185.0625 feet ²

Area of the rectangular bedroom = 185.0625 feet ²

Cost of each foot of crown molding = $0.85

Total cost of the crown molding = 185.0625 × $0.85

= $157.303125

Approximately,

Total cost of the crown molding = $157.30

Answer:

x=50 degrees

Step-by-step explanation:

I'm not sure but hope this helps and have a  wonderful day!!!!

Answer:

x = 48

Step-by-step explanation:

2x + 10 + x + 26 = 180

3x + 36 = 180

3x = 180 - 36

3x = 144

x = 48

The first 5 terms of the arithmetic sequence are: 5, 9, 13, 17, 21.

Here we have an arithmetic sequence, such that the recursive formula is:

[tex]a_n = a_{n- 1} + 4[/tex]

Such that:

a₁ = 5.

Using that formula we can get the next 4 terms. For the second term we use n = 2, so we get:

[tex]a_2 = a_1 + 4 = 5 + 4 = 9[/tex]

For the third term we have:

[tex]a_3 = a_2 + 4 = 9 + 4 = 13[/tex]

For the fourth term we have:

[tex]a_4 = a_3 + 4 = 13 + 4 = 17[/tex]

For the fifth term we have:

[tex]a_5 = a_4 + 4 = 17 + 4 = 21[/tex]

Then the first 5 terms of the sequence are:

5, 9, 13, 17, 21.

If you want to learn more about sequences, you can read:

https://brainly.com/question/7882626

Answer:

I think the answer is 54.2, but it may not be correct.

Step-by-step explanation:

To find the mean of something, you're supposed to find the sum of all the numbers and the divide it by how many numbers are in the set. Hope this helped!

Answer:

C?

Step-by-step explanation:

Answer:

40 biscuits

Step-by-step explanation:

Here are the ingredients needed to make 16 biscuits.

From the above question

Ingredients to make 16 biscuits

175 g of butter

75 g of sugar

250 g of flour

Anna has

500 g of butter

300 g of sugar

625 g of flour

To find the greatest number of biscuits she can make:

For flour

250g of butter = 16 biscuits

625g of butter = x

Cross Multiply

250x = 625 × 16

x = 625 × 16/250

x = 40 biscuits