A vet borrows $12,000 for 4 years. The total interest paid was $875. What was the interest rate on the loan?

Answer:

80.11 inches

Step-by-step explanation:

The formula to finding the circumference of a circle is:

C = 2πr (C = circumference, π = pi, r = radius)

Replace r with the radius:

C = 2π(12.75)

Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded

to the nearest hundredth is 80.11

Answer:

Option B. 4

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 60 °

Opposite (Fe) = 4√3

Adjacent (DE) = x

The value of x can be obtained by using the Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 60 = 4√3 / x

√3 = 4√3 / x

Cross multiply

√3 × x = 4√3

Divide both side by √3

x = 4√3 /√3

x = 4

Thus, the length of DE is 4

The side length of the square is a = 9.75 units

A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.

A square is a 4 sided polygon where all the sides are of equal length.

The area of the square is the square of any one of its side

Let a be the side of the square

Area of the square = a²

Given data ,

Let the area of the square be represented as A

Now , the value of A is

Area of the square = a²

The exact value of the side length of a square with an area of 95 square units can be found by taking the square root of 95.

√95 ≈ 9.74679434481 (approximate value)

Hence , the exact value of the side length of the square is approximately 9.74679434481 units

To learn more about area of square click :

https://brainly.com/question/17707380

#SPJ3

Answer:

-5<n≤2

Step-by-step explanation:

Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2

Answer:

c.

1500

Step-by-step explanation:

The computation of the total amount of interest in first month is shown below:

Interest for first month is

= Mortgage amount × interest rate ÷ total number of months in a year

= $300,000 × 6% ÷ 12  

= $1,500

Hence, the interest in the first month is $1,500

Therefore the c option is correct

Answer:

a) The probability tree is constructed below

b) the probability that at least two women will be selected is 0.500

Step-by-step explanation:

Given the data in the question;

a) The probability tree is as follows;

                                                 3 men, 3 women

                                                            ↓

           _______________________|________________________

            ↓                             ↓                                  ↓                               ↓

         3 men                    2 men                          1 man                        0 men

      0 women                1 woman                     2 woman                   3 women

b) the probability that at least two women will be selected

p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3

so

p( at least two women would be selected) = C

³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃  

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!)  / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 ×  1 / 20

= 9/20 + 1/20

= 0.45 + 0.05

p( at least two women would be selected) = 0.500

Therefore, the probability that at least two women will be selected is 0.500

Answer: 70%

Step-by-step explanation:

Martha's bakery started with 200 cupcakes in the morning and after a busy afternoon there were only 60 cupcakes left, this means that 200 - 60 = 140 cupcakes were sold.

The percentage drop will be:

= 140/200 × 100

= 70%

Answer:

answer below:)

Step-by-step explanation:

since s2= 6.2, then:

cos L= [tex]\frac{adjacent side }{hypotenuse side}[/tex]= [tex]\frac{6.2}{7\\}[/tex]

Answer: Allie made a 240- mile trip in just 4 hours.

Step-by-step explanation:

Answer:

2.56

Step-by-step explanation:

Answer:

it would be 2.56

Step-by-step explanation:

256 ÷ 100 = 2.56

Supplementary: 1 and 2 & 3 and 4

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: 1 and 3 & 2 and 4

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary:

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

Answer:

1.58733 ounces

Step-by-step explanation:

45 grams = 1.58733 ounces

(grams to ounces calculator online)

Answer:

CP = 17000

Step-by-step explanation:

Given that,

Loss = 10%

Selling price of the watch, SP = $15,300

We need to find the cost price of the watch.

[tex]CP=\dfrac{100}{100-L\%}\times SP\\\\CP=\dfrac{100}{100-10}\times 15300\\\\CP=17000[/tex]

So, the cost price of the watch is 17000.

Answer:

(A) 490ft.

(B) 2.8 miles

Step-by-step explanation:

Important points to note:

- The limestone layer is thought or assumed to slope downward in a straight line.

- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.

- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.

(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?

The expected depth of the limestone layer is:

2 miles + 3 miles = 5 miles

220ft + 270ft = 490ft

(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?

If 490ft  ~  5 miles

then 275ft  ~  K miles

K = [275 x 5] / 490  = 2.80612245 miles

Rounding to 1 decimal place, the distance is 2.8 miles.

Answer:

area of ABC=1/2 b×h=1/2×20×6=30m²

Answer:

60 m^2

Step-by-step explanation:

( Base * Hight / 2 = Area)

20 * 6 = 120

120 / 2 = 60

Answer:

44-7x

Step-by-step explanation:

Solution :

It is given that :

Number of students in a random sample majoring in communication or psychology at an university = 250

Total number of students majoring in psychology = 100

Number of students majoring in psychology  those who are happy = 80

So number of students majoring in psychology  those who are not happy = 20

Total number of students majoring in communication = 250 - 100 = 150

Number of students majoring in communication  those who are happy = 115

So number of students majoring in psychology  those who are not happy = 35

a). Probability of the students happy with their major choices are

    [tex]$=\frac{80+115}{250}$[/tex]

    = 0.78

b). Psychology major [tex]$=\frac{80+20}{250}$[/tex]

                                   = 0.4

c). Probability of the students who are happy with the communication as the choice of major = [tex]$\frac{115}{250}$[/tex] = 0.46

d). Students unhappy with their choice of major given that the student is psychology major = [tex]$\frac{20}{250}$[/tex]  =  0.018

a) Probability of the students happy with their major choices is 0.78.

b) Probability of Psychology major is 0.4

c) Probability of the students who are happy with the communication as the choice of major is 0.46.

d) Students unhappy with their choice of major given that the student is psychology major is 0.018

Given:

Number of students in a random sample majoring in communication or psychology at an university = 250

Total number of students majoring in psychology = 100

Number of students majoring in psychology  those who are happy = 80

So, number of students majoring in psychology those who are not happy = 20

Total number of students majoring in communication = 250 - 100 = 150

Number of students majoring in communication  those who are happy = 115

So, number of students majoring in psychology  those who are not happy = 35

a). Probability of the students happy with their major choices are

[tex]=\frac{80+115}{250} =0.78[/tex]

b). Psychology major

[tex]\frac{80+20}{250} =0.4[/tex]

c). Probability of the students who are happy with the communication as the choice of major =[tex]\frac{115}{250} =0.46[/tex]

d). Students unhappy with their choice of major given that the student is psychology major =[tex]\frac{20}{250} =0.018[/tex]

Learn more:

brainly.com/question/17349827

Answer:

Step-by-step explanation:

Due to similarity in Tri ABC and ADE so,

[tex]\frac{AD}{AB} =\frac{DE}{BC} =\frac{AE}{AC}[/tex]

[tex]AE=28.2*\frac{20}{24} =23.5cm[/tex]

[tex]EC=AC-AE =28.2-23.5=4.7cm[/tex]

Answer:

24 1/3

Step-by-step explanation:

long division

Answer:

y = 3/5 + x

'y' = # laps Eric swam

Step-by-step explanation:

Answer:

                                                             .

Step-by-step explanation:

                                                                  .

Answer:

1. 170/490 and 60/505

2. 320/490 and 445/505

Step-by-step explanation:

No options were given, but the question can still be answered

Given

[tex]\begin{array}{cccc}{} & {\ge 1\ tattoo} & {0\ tattoo} & {Row\ Total} & {18 -29} & {170} & {320} & {490} & {30 - 50} & {60} & {445} & {505} & {Column\ Total} & {230} & {765} & {995}\ \end{array}[/tex]

Required

Which proportion best compares age and tattoos?

The row data represents the age range of each group while the column data represents the amount of tattoo by each group.

So, to make comparison:

You simply pick a cell data and compare it to the row total.

Take for instance

For those who have at least 1 tattoo. The proportion to use are:

170/490 --- For age range: 18 - 29

60/505 --- For age range: 30 - 29

For those without tattoo. The proportion to use are:

320/490 --- For age range: 18 - 29

445/505 --- For age range: 30 - 29

Answer:

I dont speak english so i dont know whats is your question

Answer:

its 7

Step-by-step explanation:

why did u delete my answer if its right?

Answer:

x = 155

Step-by-step explanation:

First find the missing angle in the smaller triangle.

We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55

Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.

The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.

The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.

Answer:

Step-by-step explanation:

$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD

a DVD costs $3

a CD costs $2

Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.

Pierre bought d DVDs and c CDs for $20.

d is 0, 2, 4, or 6

c = (20-3d)/2

(d,c) = (0,10), (2,7), (4,4), or (6,1)

Answer:

I think it is A that will take longer but im not 100 percent sure

Step-by-step explanation:

First write an equation:

Location A-   800+100x

Location B-  1200+200x

Then you need to plug numbers in for x

Answer:

47.5%

Step-by-step explanation:

39/82 = .475 = 47.5%

Answer:

39 is  47.56% of 82

Step-by-step explanation:

82 is 100% since it is our output value.

divide 39 by 82 to get the answer in decimal form:

39 / 82 = 0.4756

Then  multiplied the answer from the first step by one hundred to get the answer as a percentage

0.4756 * 100 = 47.56%