How many dollars in interest are earned in two years on a deposit of $10,000
invested at 4.5% and compounded annually? Express your answer to the nearest cent.

it's 11682 hope this helps

Answer:

The nth term is 35+ 7(n-1) or can be written 28 + 7n

Step-by-step explanation:

This is an arithmetic sequence, where each term equals the previous term, with a constant value added.

T1 = 35

T2 = 42 = T1 + 7 = 35 + 7

T3 = 49 = T2+ 7 = 35 + 7 + 7 = 35 + 2x7

…

The nth term is equal to 35 + 7X(n-1)

Answer:

135

Step-by-step explanation:

All the angles that would correspond with the angle measure 8 (135°) would be m<5, m<2, m<1.

hope this helped!

Answer:

50% off

Step-by-step explanation:

The coupons are based on the percentage off. In this case, it doesn’t matter that one coupon is for nightstands. Would you rather save 50% or 25%? The answer is 50%.

Answer:

because he has the rock next to the country song

Answer:

I need more information...

Step-by-step explanation:

===========================================================

Explanation:

We'll use the remainder theorem.

This theorem says that if you divide p(x) over (x-k), then the remainder is p(k).

We have p(x) = x^3 + 3x^2 - 16x - 48 and the denominator is one of the four choices A through D.

Let's go through each of them until we find the answer.

-----------------

For choice A, we have x+2 which is the same as x-(-2). It matches with x-k to show that k = -2.

Plug k = -2 into p(x) to get

p(x) = x^3 + 3x^2 - 16x - 48

p(-2) = (-2)^3 + 3(-2)^2 - 16(-2) - 48

p(-2) = -12

The remainder is -12, which is not 0 like we're after. We can cross A off the list.

-----------------

We'll follow the same ideas for choices B through D

For choice B, we plug in k = 4 because x-4 matches with x-k to show that k = 4.

p(x) = x^3 + 3x^2 - 16x - 48

p(4) = (4)^3 + 3(4)^2 - 16(4) - 48

p(4) = 0

We end up with a remainder of 0, so we can stop here. Dividing (x^3+3x^2-16x-48) all over (x-4) leads to some quotient and a remainder of 0.

Put another way: (x-4) is a factor of x^3+3x^2-16x-48

-----------------

Side notes:

Answer:

a) Daniel has 55

b) Daniel has 105

c) Daniel has 5z

d) 115 divided by 5, which is 23!!!

Answer:

The equation for the trend line is y=2x-10

Answer: 2.98

Step-by-step explanation:

Answer:

Sylvia's total cost=$2.79*8

=$22.32

Step-by-step explanation:

12. Each section of the line on each side is identical (shown by the marks through each line)

This means both those angles are also the same.

6x + 1 = 9x-23

Add 23 to both sides

6x + 24 = 9x

Subtract 6x from both sides

24 = 3x

Divide both sides by 3

X = 8

13. Both angles when added together need to equal 180

5x-24 + 8x +9 = 180

Combine like terms

13x -15 = 180

Add 15 to both sides

13x = 195

Divide both sides by 13

X = 15

#12

#13

Answer:

The option E is not linear function

bcz the in option E there is y =x2

Answer:

ito yung link o /fhytuewfxnopjbfw/ yan na po

Answer:

The center of Walden’s data, 3, is less than the center of Drake’s data set, 6.

Step-by-step explanation:

Answer:

Walden’s data set doesn’t have any outliers. Drake’s data has an outlier with the value 9, which is at the higher end of the distribution.

Step-by-step explanation:

Hope this helped!

Answer:

y = 7x

Step-by-step explanation:

Complete question:

Find an equation for the line with the given properties. Parallel to the line 7x - y = -7; containing the point (0,0)

The equation of a line in point-slope form is expressed as;

y - y0 = m(x-x0)

(x0, y0) = (0,0)

Given the equation of the line as 7x - y = -7;

Rewrite and get the slope

-y = -7x - 7

y = 7x+7

Get the slope

mx = 7x

m = 7

Substitute into the equation

y - 0 = 7(x - 0)

y = 7x

Hence the required equation is y = 7x

Answer:

Step-by-step explanation:

Volume of the cylinder = volume of the outer cylinder - volume of the inner cylinder

volume of the inner cylinder = πr2h

r = 1

h = 6

Volume = 18.85

Volume of outer cylinder =  πr2h

r = 6/2 = 3

h = 6

volume = 169.65

Volume of the desired cylinder = 169.65 - 18.85 = 150.8

Hope this helps u

Please mark as the brainliest

Thank You

Hello! The Answer is A and B

Hope this helps, Have a wonderful day!

Tysm for brainly!

Answer:

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject [tex]H_0\ at\ 5%[/tex] level of significance

Step-by-step explanation:

From the question we are told that:

Sample size 1 [tex]n_1=15[/tex]

Spacing 1 [tex]s_1=8[/tex]

Mean 1 [tex]\=x_1=8.48[/tex]

Standard deviation 1 [tex]\sigma_1=0.96 kPa[/tex]

Sample size 2 [tex]n_2=16[/tex]

Spacing 2 [tex]s_2=6[/tex]

Mean 1 [tex]\=x_1=9.93[/tex]

Standard deviation 1[tex]\sigma_1=1.02 kPa[/tex]

Generally the hypothesis is mathematically given as

Null [tex]H_0:\mu_1-\mu_2[/tex]

Alternative [tex]H_a:\mu_1\mu_2[/tex]

Generally the equation for pooled estimate is mathematically given by

  [tex]S=\sqrt{\frac{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2}{n_1+n_2-2} }[/tex]

Therefore

  [tex]S=\sqrt{\frac{(15-1)0.96^2+(16-1)1.02^2}{15+15-2} }[/tex]

 [tex]S=0.9905[/tex]

Generally the equation for test statistics is mathematically given by

 [tex]t=\frac{\=x_1+\=x_2}{S\sqrt{\frac{1}{n _1}+\frac{1}{n_2}}}[/tex]

 [tex]t=\frac{\=8.48-9.93}{0.9905\sqrt{\frac{1}{15}+\frac{1}{15}}}[/tex]

 [tex]t=-4.00091[/tex]

Therefore From table

 [tex]P value=P(t_{15+15-2}=4.00091)[/tex]

 [tex]P value=0.00041918[/tex]

 [tex]P<0.0005[/tex]

Therefore

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject [tex]H_0\ at\ 5%[/tex] level of significance

Answer:

218

Step-by-step explanation:

first find the area of the circle-

[tex]A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314[/tex]

to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).

[tex]a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12[/tex]

Now I know the height is 12. Find the area of the triangle

[tex]A=\frac{1}{2} bh\\A=\frac{1}{2} (16)(20)\\A=96[/tex]

subtract the area of the triangle from the area of the circle

314-96=218

Answer:

(left to right) multiply; add; subtract; divide

Step-by-step explanation:

4*(3+2)-6/1

4*(5)-6/1

20-6/1

20-6

14

Answer:

its a and c

Step-by-step explanation:

bc im smart hah its a and c

Answer:

Lines A and C are parallel

Step-by-step explanation:

Answer:

48%

Step-by-step explanation:

48/100 = 48%

Edit: the awnser is 64% because 48/75 = 64%

The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48%

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

At a coffee shop, the first 100 customers orders were as given.

Now,

Total customer = 100

Order hot median coffee = 48

Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48 / 100

⇒ 0.48

⇒ 48%

Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48%

Learn more about the probability visit:

https://brainly.com/question/13604758

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Answer:

13.85

Step-by-step explanation: