Amy deposits $360 in an account that pays 1/2% simple annual interest. How much interest will she earn in 6 years?

Arrange the pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (20, 40)

gavmur [86]

Answer: m1 = 0.5

M2= 0.375

M3 = 2.25

M4 = 3.0

M5 = 13.5

M6 = 0.285

M7 = 7.0

Step-by-step explanation:

(20,40)-(15,30)=(5,10), m1=5/10=0.5

(18,48)-(12,32)=(6,16), m2=3/8=0.375

(72,32)-(27,12)=(45,20), m3=9/4=2.25

(60,20)-(45,15)=(15,5), m4=3.0

(243,18)-(27,2)=(216,16), m5=27/2=13.5

(24,84)-(18,63)=(6,21), m6=2/7=0.285...

(84,12)-(63,9)=(21,3), m7=7.0

4 0

3 years ago

Circle a has a radius of 3 and circle b has a radius of 11. if the idstance between the center of the circles in 17, find the le

Andrews [41]

Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
b² = 225
b = 15

Answer: the length of the common external tangent is 15.

3 0

3 years ago

A table is in the shape of a regular pentagon with a side length of 3 feet and an

ehidna [41]

Answer:

15.5 ft²

Step-by-step explanation:

The area (A) of a regular polygon is calculated as

A = $\frac{1}{2}$ pa ( p is the perimeter and a the apothem )

Here side of regular pentagon is 3 ft, thus

perimeter = 5 × 3 = 15, so

A = 0.5 × 15 × 2.06 ≈ 15.5 ft ( to the nearest tenth )

8 0

3 years ago

Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie. Choose the cost functio

daser333 [38]

Answer:

The cost function that represents this scenario is c(x) = 2 + 0.50x .

Option (b) is correct .

Step-by-step explanation:

As given

Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie.

if x equals the number of nights Laura has the movie.

Than the cost function that represents this scenario .

c(x) = Flat fee + Cost for x equals the number of nights Laura has the movie.

c(x) = 2 + x × 0.50

c(x) = 2 + 0.50x

Therefore the cost function that represents this scenario is c (x) = 2 + 0.50x .

Option (b) is correct .

8 0

3 years ago

Read 2 more answers

3$ pre child 5$ adult totaling 374 tickets sold at the cost of 1524 dollars. how many child and adult tickets were sold

Elza [17]

Answer:

173 children tickets were sold and 201 adult tickets were sold

Step-by-step explanation:

Let the number of child ticket sold be x

Let the number of adult ticket sold be y

If the total number of ticket sold is 374, hence;

x +y = 374 .... 1

Also if the ticket cost 3$ per child and 5$ per adult with total cost of $1524, this can be expressed as;

3x + 5y = 1524..... 2

Solve both equations simultaneously

From 1; x = 374 - y ...3

Substitute equation 3 into 2

3(374-y)+5y = 1524

1122-3y+5y = 1524

1122+2y = 1524

2y = 1524 - 1122

2y = 402

y = 402/2

y = 201

Since x = 374-7

x = 374 - 201

x = 173

Hence 173 children tickets were sold and 201 adult tickets were sold

6 0

3 years ago