Miguel is driving his motorboat across a river. The speed of the boat in still water is 13 mi/h. The river flows directly south at 5 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction? (Not drawn to scale)


a. 21 mi/h; 13.9 north of west
b. 13.9 mi/h; 21 south of west
c. 13.9 mi/h; 21 north of west
d. 21 mi/h; 13.9 south of west

Answers

Answer 1

Answer: B

Step-by-step explanation:

13.9 mi/h; 21 south of west


Related Questions

Janet Foster bought a computer and printer at Computerland. The printer had a $880 list price with a $100 trade discount and 2/10, n/30 terms. The computer had a $4,000 list price with a 25% trade discount but no cash discount. On the computer, Computerland offered Janet the choice of (1) paying $155 per month for 17 months with the 18th payment paying the remainder of the balance or (2) paying 7% interest for 18 months in equal payments.

a. Assume Janet could borrow the money for the printer at 7% to take advantage of the cash discount. How much would Janet save? (Use 360 days a year. Round your answer to the nearest cent.)

Answers

Answers

Part A (Printer): $12.63

Part B (Computer): $180.83

Step-By-Step

A:

"take advantage of the cash discount" Since Janet is taking the cash discount we need to use the terms.

2/10 => Means if paid in 10 days apply a 2% discount

($880 - $100) = $780  (This is because of the trade discount stated also)

$780 * 0.98 = $764.40  

(Note: 0.98 is the term "2/10" it is the 2% discount, represented as (1-0.02) )

$764.40 * 0.07 * (20/360) = $2.9726666 (Note: Here 20/360, 20 represents the rest of the days left in the term agreement)

No Discounts: ($780 - 764.40) = $15.60

Discounts: $2.9726666

How much would Janet save?

$15.60 - $2.9726666 = $12.62733 = $12.63

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

Question has a part B:

"On the computer, what is the difference in the final payment between choices 1 and 2?"

Note: Computer Price w/ Trade Discount => $4,000 - ($4,000*0.25) = $3000

(1) "$155 per month for 17 months" => $155 × 17 = $2,635

Last payment $3,000 – $2,635 = $365

(2)-------------- Note: 18 Months = 1.5 Years

$3,000 × 0.07× 1.5 = $315

$3,000 + $315 = ($3,315) / 18 Months = $184.1666

Difference in the final payment?

$365 - $184.1666 = $180.8334 = $180.83

A. Janet would save $12.63

B. Computer: $180.83

How much would janet save ?

Since Janet is taking the cash discount we need to use the terms.

"take advantage of the cash discount"

2/10 => Means if paid in 10 days apply a 2% discount

($880 - $100) = $780  (This is because of the trade discount stated also)

$780 * 0.98 = $764.40  

[0.98 is the term "2/10" it is the 2% discount, represented as (1-0.02)]

$764.40 * 0.07 * (20/360) = $2.9726666 (Note: Here 20/360, 20 represents the rest of the days left in the term agreement)

No Discounts: ($780 - 764.40) = $15.60

Discounts: $2.9726666

Janet would save = $15.60 - $2.9726666 = $12.62733 = $12.63

On the computer, what is the difference in the final payment between choices 1 and 2?

Computer Price w/ Trade Discount => $4,000 - ($4,000*0.25) = $3000

(1) "$155 per month for 17 months" => $155 × 17 = $2,635

    Last payment $3,000 – $2,635 = $365

(2) 18 Months = 1.5 Years

    $3,000 × 0.07× 1.5 = $315

    $3,000 + $315 = ($3,315) / 18 Months = $184.1666

Difference in the final payment= $365 - $184.1666 = $180.8334 = $180.83

Learn more about discount problem here :

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Which is the solution to the inequality? 2 3/5 <b - 8/15



A. b<2 1/15
B. b>2 1/15
C. b<3 2/15
D. b>3 2/15



PLS NO CHEATING. I RLY NEED THIS. IF U DONT CHEAT I WILL MARK BRAINLIEST​

Answers

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

What is the value of a?

Answers

since the quadrilateral is covex, the sum of four exterior angles is 360 degrees

127 + 71 + 102 = 300

360 - 300 = 60

the answer is 60 degrees

Evan adds 2/1/4 quarts of apple juice to some grape juice to make 5/1/2 quarts of fruit punch. Part A: write an equation to find the amount of grape juice g in the punch. Part B: How much grape juice is in the punch?

Answers

Answer:

3 1/4 qt.

Step-by-step explanation:

5 1/2 - 2 1/4 = 3 1/4

Fred loves watermelon and buys 6 of them at the grocery store. If he gives friends 1 1/2 of a watermelon each, how many friends will get watermelon?

Answers

Answer:

4 friends will get watermelon

Step-by-step explanation:

1. 1 1/2 + 1 1/2 = 3

2. 1 1/2 + 1 1/2= 3

3. 3+3=6

4. Now count how many times we added 1 1/2.

5. If you counted correctly, you should've gotten 4.

If C is the incenter of ∆AMD, m∠A M C = 3 x + 6 and m∠ DMC= 8 x − 49.


find ∠ M A D , find m∠ADM and find m∠ADC

Answers

Answer:

3x+6=8x-49,

-6. -6

__________

3x=8x-55

-8x. -8x

________

-5x=-55

x=11,

3(11)+6=39

8(11)-49=39

Step-by-step explanation:

What is 56048 divided by 543

Answers

Step-by-step explanation:

56048 divided by 543= 103.219153

Answer:

its 103.2

Step-by-step explanation:

a circle has an area of 64pi square inches which best represents the circumference of the circle A 16 inches B 32 inches C 50-inch D 25 inches ​

Answers

Answer:

16π

Step-by-step explanation:

Area= 64π

or, πr²= 64π

or, r²= 64

r= 8

circumference= 2πr= 2×π×8 = 16π

ill give you brainliest

Answers

Answer:

376.8 ft²

Step-by-step explanation:

that is the correct answer for you friend

the price of milk is increased by 8%.if the original price is R10,84, what is the new price?​

Answers

Answer:

11.71

Step-by-step explanation:

Write a question that represents the following equation. 5 · n = 35. plssss help hurry

Answers

Answer:

what is the value of {n}to get product 35?

Step-by-step explanation:

(n is seven by the way!!)

Answer:

James is buying lemons for his grandmother, if 5 lemons cost $35, then how much does 1 cost? (n=7 if you are solving)

Step-by-step explanation:

plz need answers by today

Answers

Answer:

the 2

Step-by-step explanation:

Make sure to write No Solution exactly how it looks: No Solution
1. √x+2 = 5
answer: x =

Answers

Answer:

x=9

Step-by-step explanation:

Subtract 2 from both sides:

[tex]\sqrt{x} =3[/tex]

square both sides, so:

x=3^2 = 9

Part A

Monica estimates the recipe makes about 5 cups of fruit salad,

Which explanation describes whether Monica's estimate is reasonable?

Not reasonable. Four fractions cannot equal more than 4 cups.

Not reasonable. The whole numbers add up to 3 so the total sum

cannot be 5 cups

Reasonable. The grapes and apples is about 2 cups and pears and

oranges is exactly 3 cups.

Reasonable. The pears and apples is about 3 cups and the grapes

and oranges is exactly 2 cups.

PLAY

(0)

Part B

What is the exact amount of fruit salad in cups?

cups

o

Enter your answer as a fraction or a mixed number.

Answers

Answer:

Part A: Choice 3) Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.

Part B: Exactly 4 11/12 cups

almost equal to 5 cups

Step-by-step explanation:

The missing part of the question is :

2 1/2 cups of pears. 2/3 cup of grapes 1 1/4 cups of apples 1/2 of orange slices .

Pears + apples

2 1/2+1 1/4 =

5/2 + 5/4

= 10+5/4

= 15/4

= 3 3/4 cups

Reasonable. The pears and apples is about 3 cups and the grapes

and oranges is exactly 2 cups. This statement is wrong.

Grapes and oranges

2/3 + 1/2

= 4+3/6

=7/6

=1 1/6 cups

grapes and apples

2/3 cup of grapes 1 1/4 cups of apples

2/3 + 5/4

= 8+15/12

= 23/12

= 1 11/12 cups

pears and oranges

2 1/2 cups +1/2 of orange slices

3 cups

Reasonable. The grapes and apples is about 2 cups and pears and

oranges is exactly 3 cups. this statement is true as shown above.

N.B the answer may vary due to the different measurements given in the missing part of the question.

Part B:

grapes and apples + pears and oranges

1 11/12 cups +3 cups

= 23/12+ 36/12

= 59/12

= 4 11/12 cups

is the marked equation right?
i cola in for me please

Answers

Answer:

Yes, because it crosses through (-2) at a rate of 1/3

3455/72



answer pls.....

Answers

Answer:

3455/72

=47.9861111111

Step-by-step explanation:

NO LINKS PLEASE and make sure its correct

Answers

Answer:

x= -7

Step-by-step explanation:

Answer:

LCM=4

4x3 /4 x 3/4 (x+21)=101/2x4

multiply through by the lcm

3x=20-21

3x/3=-1/3

the answer is-1/3

hope it helps

Pls help me I’ll give extra point ASAP plz

Answers

Answer:

B

Step-by-step explanation:

The slope of the line GH is -3/2, so move point H to (1,-3), and move up 3 and left 3 to get translated point G.

:
B. (0,-1)
Hope you pass!!

*PLEASE HELP*
The equations of lines K,P,and M are given below
K: x+2y=6
P: 6x + 3y=12
M: -x+ 2y=10

which statement is true

*ANSWERS ARE IN THE PICTURE*

Answers

Answer:

M is perpendicular to K

Step-by-step explanation:

Given the equations of the following line

K: x+2y=6

P: 6x + 3y=12

M: -x+ 2y=10

First we need to get the slpe of each line as shown;

For K:

K: x+2y=6

Rewrite in standard form;

2y = -x + 6

y = -1/2 x + 6/2

y = -1/2 + 3

Slope of K is -1/2

For P:

P: 6x + 3y=12

Rewrite;

3y = -6x + 12

y = -6/3 x + 12/3

y = -2x + 4

Slope of P is 2

For M;

M: -x+ 2y=10

Rewrite

2y = x + 10

y = 1/2 x + 10/2

y = 1/2 x + 5

Slope of M is 1/2

Taking the product of slope K and P

Mk * Mp = -1/2 * 2

Mk * Mp = -1

Since the slope of K and P is -1, hence line M and line P are perpendicular

A house that you are interested in has the following facts listed online: Price = $214,000 APR = 1.15% Down Payment must be 9.5% Loan time frame is 35 years What is the amount of the loan you must take out? What monthly price do you have to pay on this house? What is the total price of this house (including interest and the down payment)?

Answers

9514 1404 393

Answer:

$20,330 down$193,670 loan$560.35 monthly$255,677 total price

Step-by-step explanation:

a) The down payment is 9.5% of the price, so is ...

  down = 0.095×$214,000 = $20,330

__

b) The amount of the loan is the remaining value after the down payment is made:

  $214,000 -20,330 = $193,670

__

c) The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

payment on Principal P at interest rate r for t years

  A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35

__

d) The total cost of the house is ...

  down + (monthly payment)×(number of months)

  = $20,330 + $560.35×420

  = $255,677

Solve each equation please?

6) 3x - 5 = 10

7) 36 = 4x + 12

8) 3(x + 2) = 36

9) 7(2x - 15) = 63

Answers

Answer:

6) x=5

7)x=6

8)x=10

9)x=12

Step-by-step explanation:

6) 3x-5=10. 7) 36=4x+12. 8) 3(x+2)=36

+5 +5. - 12. - 12. 3x + 6=36

3x = 15. 24 = 4x. - 6. -6

÷3. ÷3. ÷4. ÷4. 3x=30

x=5. 6 = x. x = 10

9) 7(2x-15)=63

14x - 105=63

+105. +105

14x = 168

÷14. ÷14

x=12

HELP ASAP WILL MARK BRAINLIEST!!!!

Answers

Answer:

(-14,0)

Step-by-step explanation:

lets find the equation of the line first

so lets take two points (-74,18) and (-54,12)

so slope is rise/run= -6/ 20 or -3/10

plugging into the equation

y= mx+b

we get

12= 5.4*3+b

12= 16.2+b

b= -4.2

so equation is y= -.3x-4.2

simplyfying we get

10y= -3x-42

3x= -10y-42

x= -10y-14

so we see that the x intercept is (-14,0)

if my answer helps please mark as brainliest.

Answer:

-14,0

Step-by-step explanation:

Sam is using the expression x4y What is the value of the expression when x/4y = 10 and y = 1/2 ?

Answers

The most important thing is the fact that you can get a chance to share

The trinomial 2x2 + 13x + 6 has a linear factor of x + 6.
2x2 + 13x + 6 = (x + 6)(?)
What is the other linear factor?

A. x + 3
B. x + 6
C. 2x + 1
D. 2x + 3

Answers

Answer:

C (2x+1)

Step-by-step explanation:

I hope this helps!

What is the surface area of the triangular prism?
A)
175 cm
B)
196 cm?
C)
216 cm?
D)
222 cm?

Answers

Answer:

222 cm²

Step-by-step explanation:

Each triangle's area is 6 cm², each side rectangle's area is 75 cm², and the bottom rectangle's area is 60 cm². Since there are two triangles, two side rectangle's, and one bottom rectangle, you would add all of their areas together:

6 + 6 + 75 + 75 + 60 leads you to the answer of 222 cm².

I need help please help

Answers

Answer:

The answer should be C

Step-by-step explanation:

I hope that it helps you!

What is the product of 2 and 3/6 write another expression that is equal to the product of 2 3/6

Answers

Answer:

The product of 2 and 3/6 is 1

Another expression equal to 2 x 3/6 is 4 x 1/4

Step-by-step explanation:

To find the product of 2 and 3/6, you should first simply 3/6. Find the GCM of 3 and 6. The GCM should be 3, so you divide each side by 3. Then you multiply 1/2 and 2 which is 1. To find another product of 2 x 3/6, you could just another fraction for 1/2.

Hope this helps

The another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.

What is function?

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is the the product of 2 and 3/6.

We can write -

2 x 3/6 = 1

We can write another expression that is equal to the product of 2 & 3/6 as -

3 x 9/27

Therefore, the another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.

To solve more questions on equation modelling, visit the link-

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from a class of 12 students, 4 will be chosen to do a job. how many different groups could be chosen?​

Answers

Answer:

3

Step-by-step explanation:

12 / 4 = 3

Three functions are shown below.
f(x) = 3x2 - 4x - 3
g(x) = 5x + 2
h(x) = 3x2 + 4x-1
What is f(x) + g(x) + h(x)?
A. "6x2 - 5x - 2
OB. "6x2 - 13x - 4
O C. -6x2 - 14x - 6
OD. 9x2 - x + 2

Answers

f(x) = 3x2 - 4x - 3

g(x) = 5x + 2

h(x) = 3x2 + 4x-

g ÷ 7 = 11 pleasse help

Answers

Answer:

the answer is 77

Step-by-step explanation:

g/7=11

to find g you do inverse operations

7x11=77

have a great day :D

Answer:

77

......................

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