Why is 29 a prime number

Answer:

Hilda would pay $ 2,736.60   less interest

Step-by-step explanation:

The total interest payment is the total repayments for 5 years less the initial loan amount

If the interest rate is 10% Hilda repays $233.72  for 5 years multiplied by 12 months:

total repayment=$233.72*5*12=$ 14,023.20  

Interest =$14,023.20-$11,000.00=$3.023.20

If the interest rate is 18% Hilda repays $279.33 for 5 years multiplied by 12 months:

total repayment=$279.33*5*12=$ 16,759.80  

Interest =$16,759.80  -$11,000.00=$5759.8

Difference in interest payments=$5759.8 0-3.023.20=$ 2,736.60  

Answer:

A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

For example if you follow the pythagoras theorem a triangle has sides of 3,4 and 5

but when you add 3 and 4 they do not give you 5

so that is false

Answer:

B.  People who eat there are likely to return and suggest what is good on the menu to friends and relatives.

Answer:

Second quadrant

Step-by-step explanation:

In the second QUADRANT sine is positive and cosine is negative.

Answer:

Look at attached graphic

sine if positive in Quadrants I and II

cosine is negative in Quadrants II and III

(in the graphic blue is positive red is negative)

Step-by-step explanation:

Answer: 14.1 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.

cos α = adjacent side / hypotenuse

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the adjacent side (x) is the distance from the base of the building to the bottom of the ladder

Replacing with the values given:  

cos 62 = x/ 30

Solving for x

cos62 (30) =x

x= 14.1 feet

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Step-by-step explanation:

4-2<x<4+2

2<x<6

x = 3, 4  or 5

i assume u r talking about triangle

Answer:

$29,160

Step-by-step explanation:

i = prt

i = ($81,000)(.09)(4)

i = $29160

Answer:

$360

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 81000 × 9/100 × 4

I = $360

Answer:

Test each set of lengths using Pythagoras' Theorem. Is a2+b2=c2?

Step-by-step explanation:

Answer:

You have to see each one and do the formula, a^2*b^2= c^2, then under'root the c^2 to become c

Answer:

B.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

3 shirts

Step-by-step explanation:

90 divided by 30 = 3

Therefore, with $90.00, Suzie can buy 3 shirts.

:)

Answer:

3 shirts

Step-by-step explanation:

$90/$30=3 shirts

Answer:

10584 inches of paper

Step-by-step explanation:

to find the surface area of a cone the formula you use is A= πr(r+h2+r2)  *you need to divide 16 by two to find the radius 16 is the diameter*

and this subsituted is π8(8+9(2)+8(2)) and this equals 504 inches and you then multiply by 21 to get enough paper to cover all 21 cones and that equals 10584 inches

Answer:17

Step-by-step explanation:

We can tell from the question, that the problem is an arithmetic progression type because of presence of d=common difference.

The nth term  of an arithmetic progression is given as

Tn=a1 +(n-1)d

putting the given vales we have

T₂₅=5 +(25-1)0.5

T₂₅=5 +(24)0.5

T₂₅=5 +12

T₂₅=17

The 25th term for this sequence is 17

See similar question here:https://brainly.com/question/14163007

Answer:

Quadrilateral ABCD is inscribed in a circle, then

A + C = 180

=> 2x + 9 + 3x + 1 = 180

=> 5x = 170

=> x = 34

=> A  = 2 x 34 + 9 = 77 deg

Hope this helps!

:)

Answer:

77°

Step-by-step explanation:

ABCD is inscribed in a circle. Therefore it is a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.

[tex]\therefore \angle A + \angle C = 180° \\ (2x + 9) \degree + (3x + 1) \degree =180° \\ (5x + 10) \degree =180° \\ 5x + 10 = 180 \\ 5x = 180 - 10 \\ 5x = 170 \\ x = \frac{170}{5} \\ x = 34 \\ \angle A = (2 \times 34 + 9) \degree \\ \huge \red{ \boxed{\angle A= 77 \degree}} \\ [/tex]

Answer:

5 units

Since they both have the same y value, just subtract the a value's x from the b's x value

Answer:

-21i

Step-by-step explanation:

[tex]i^{2}[/tex] = -1

7*3=21

21 x -1 = -21

Answer:

-21

Step-by-step explanation:

Answer:

The Answer Is 2/3

Step-by-step explanation:

If you look at the shaded area it is 2 shaded out of 3 which means 2/3

Answer:

2/3

Step-by-step explanation:

There are 3 blocks and 2 of those 3 are shaded.

Hope this helps

Please mark me as Brainliest

Answer:

[tex] 94.2 -0.994*3.1 = 91.1186[/tex]

[tex] 94.2 +0.994*3.1 = 97.2814[/tex]

And the 68% confidence interval is given by (91.1186, 97.2814)

Step-by-step explanation:

For this case we know that mean time that visitors stay at a museum is given by:

[tex] \bar X = 94.2 [/tex]

The standard deviation is given by:

[tex] s= 15.5[/tex]

And the standard error is given by:

[tex] SE = \frac{s}{\sqrt{n}} =3.1 [/tex]

And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

[tex] z_{\alpha/2}= \pm 0.994[/tex]

We can find the interval like this:

[tex] \bar X \pm ME[/tex]

And replacing we got:

[tex] 94.2 -0.994*3.1 = 91.1186[/tex]

[tex] 94.2 +0.994*3.1 = 97.2814[/tex]

And the 68% confidence interval is given by (91.1186, 97.2814)

Answer:

225

Step-by-step explanation:

Take 675/3 to find one third of its current depth. That gives you your answer. Does that make sense?

Answer:

False

Step-by-step explanation:

The left side 0.06 does not equal to the right side 0, which means that the given statement is false.

Answer:

2/10 + 7/10

9/10

Step-by-step explanation:

I did the test.

Answer:

The expression written in equivalent form with common denominators is

✔ 2/10 + 7/10

The sum is

✔ 9/10

Step-by-step explanation:

Equality Properties

Circumference Formula(s):
[tex]\displaystyle\begin{aligned}C & = 2 \pi r \\& = \pi d\end{aligned}[/tex]

where d is the diameter and r is the radius.

Let's organize what is given to us in the problem.

We are given that we are riding a Ferris wheel and have traveled 157 feet.

Let's find the radius of the Ferris wheel, which can be geometrically described as a circle. We use the Circumference Formula found above:

∴ the radius of the Ferris wheel is equal to 25 feet.

*Note: A similar question is found here w/ two different answers - https://brainly.com/question/8607274

The radius of the Ferris wheel is equal to 25 feet. The diameter of the Ferris wheel is equal to 50 feet. Recall that diameter is 2x the radius.

___

Learn more about circles: https://brainly.com/question/15306477

Learn more about Geometry: https://brainly.com/question/23669892

___

Topic: Geometry

Unit: Circles

Answer:

50 feet

Step-by-step explanation:

trust

Answer:

Y = $2x + 8

Step-by-step explanation:

Variable cost per line = $2.00

For 3 lines, the Variable cost = $2 x 3 = $6

Total cost for 3 lines = $14.00

Fixed Charges = $14 - $6 = $8

Using the formula, total cost, Y = $2x + $8 = $14

Where x = number of lines needed.

Therefore, total cost, Y = ($2 x 3) + $8 = $14

Answer:

Question A, the values of h is 11 and k is -8 .

Question B, the equation is y = (-4/3)x + 2 .

Step-by-step explanation:

Question A, in order to find the value of h and k, you have to use the mid-point formula and do comparison :

[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Let (x1,y1) be coordinate A (h,4),

Let (x2,y2) be coordinate B (-5,k),

Let mid-point be (3,-2),

[tex](3 \: , - 2) = ( \frac{h - 5}{2} , \frac{4 + k}{2} )[/tex]

[tex]by \: comparison, \: [/tex]

[tex] \frac{h - 5}{2} = 3[/tex]

[tex]h - 5 = 6[/tex]

[tex]h = 11[/tex]

[tex] \frac{4 + k}{2} = - 2[/tex]

[tex]4 + k = - 4[/tex]

[tex]k = - 8[/tex]

Question B, given that line is perpendicular bisetor to AB means that the line touches mid-point which is M(3,-2). Using gradient formula :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Let (x1,y1) be (11,4),

Let (x2,y2) be (-5,-8),

[tex]m = \frac{4 - ( - 8)}{11 - ( - 5)} [/tex]

[tex]m = \frac{12}{16} [/tex]

[tex]m = \frac{3}{4} [/tex]

The gradient of perpendicular line is opposite of line AB and when both gradient are multiplied, you should get -1 :

[tex]m1 \times m2 = - 1[/tex]

Let m1 be the gradient of AB, m = 3/4,

Let m2 be the gradient of perpendicular line,

[tex] \frac{3}{4} \times m2 = - 1[/tex]

[tex]m2 = - \frac{ 4}{3} [/tex]

Last, we have to use the slope-form equation, y = mx + b and susbtitute the coordinates of M into the equation :

[tex]y = mx + b[/tex]

Let m = -4/3,

Let x = 3,

Let y = -2,

[tex] - 2 = - \frac{4}{3} (3) + b[/tex]

[tex]b = 2[/tex]

Answer:

9a +7b-11

Step-by-step explanation:

(9a+3b-5) + (4b-6)

Combine like terms

9a + 3b+4b -5-6

9a +7b-11

Answer:

9a +7b-11

Step-by-step explanation:

Answer:

9.958

Step-by-step explanation:

The thousandths spot is where the 8 is so you round 8 with the number behind it 1. Since 1 is below 5, you keep 8 the same and get rid of the 1.

Answer:

9.958

Step-by-step explanation:

find the number in the thousands place, 8 and then look 1 place to the right for the rounding digit 1. Round up if this number is greater than or equal to 5 and round down if it is less then 5.

Answer:

49

Step-by-step explanation:

Cube 7 to get the volume.(343)

Do 7^2 to get 49, then multiply by 6 to get the surface area(294)

Then subtract 343-294=49