A loan of$8000 was repaid in 24 equal monthly installments of $400 . The rate of interest on the loan was​

Answer:

[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]

Step-by-step explanation:

The systems of equations are

Let us assume the rate of the current be c

Now actual speed against the current is (15 - c)

And, the actual speed with the current is (15 + c)

Here we applied the time formula i.e. distance by speed

Also the upstream time  - downstream time = 4

Now the equations are

[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]

Answer:

1 month

Step-by-step explanation:

mark me brainlyest????

Answer:

1) 85

2) 150

Step-by-step explanation:

The measure of a minor arc is EQUAL to the central angle

"The measure of a minor arc is equal to the measure of the central angle that intercepts the arc. We can also say that the measure of a minor arc is equal to the measure of the central angle that is subtended by the arc."

Answer:

(-1,5)

(0,2)

(-1,1)

(2,-4)

Answer:

y = -3x + 2

Step-by-step explanation:

Rise (y'-y): 2-5 = -3

Run ( x'-x): 0 - -1 = 1

slope (m): rise/run = -3/1

y intercept (b): 2

Equation: y = mx + b

y = -3x + 2

Answer:(0,-2)

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

24 ^2+45^2=x^2

=51

Answer:

120

Step-by-step explanation:

78 is 65% of what number.

Let's break down this expression.

In this case "is" means "equals" so we will use the equal sign (=)

65% can be written as 0.65 or 65/100

"of" indicates multiplication

"what number" will be represented by x.

Now, put this all together.

78 = 0.65 • x

To solve for x, divide both sides by 0.65

120 = x

This is your answer.

Check this by finding 65% of 120.

0.65 • 120 = 78

Your answer is correct.

Hope this helps!

Answer: 800 miles

Step-by-step explanation:

Let the actual distance between City C and City​ D be represented by x.

The information given in the question can be formed into an equation as:

1.8 feet / 2.88 feet = 500 miles / x

Cross multiply

1.8 × x = 500 × 2.88

1.8x = 1440

x = 1440/1.8

x = 800

Therefore, the actual distance between City C and City​ D is 800 miles.

Answer:

A.) exponential decay

B.) 5575

C.) 65%

Step-by-step explanation:

3x + 5z = 3 * 5 + 5 * (-2) = 15 - 10 = 5

Answer:

15 + -10

Step-by-step explanation:

3(5) + 5(-2)

15 + -10

Answer:

It is 264 inches^3

Step-by-step explanation:

The volume of the top prism = 5 x 2 x 3 = 30

The volume of the bottom prism = 2 x 13 x 9 = 234

The total of these is 264 inches^3

Answer:

Beth is five years old.

Step-by-step:

Beth + Julio + Gerald + Debra = 38

B + (Beth - 2) + (2 x Beth) + (2 x Gerald) = 38

Since we know that Gerald is twice as old as Beth and Debra is twice as old as Gerald. That makes Debra four times older than Beth.

Beth + (Beth - 2) + (2 x Beth) + (4 x Beth) = 38

B +  (B -2) + (2B) + (4B) = 38

Simplfy the like terms.

8B - 2 = 38

Add 2 on both sides.

8B = 38 + 2

8B = 40

Divide both sides by 8 to isolate the variable.

8/8 B = 40/8

B = 5

Answer:  78.5

Step-by-step explanation:

Well i said  78.5  to get the radius you have to divide the diameter by 2 to get your answer but you have to make and the area might be 78.5 because thats what we do in my grade which is 7th

Answer: x squared equals y

Step-by-step explanation:

Answer:

96 cookies.

Step-by-step explanation:

I don't love the wording of the question, but here's what I see:

Lisa Friday: 24

Lisa Saturday: 36

Maria total: 36

Cookie total: 96

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

I can't really tell from how the question is worded if Maria's total was the total of what Lisa made, and she did it all on Saturday, or if Maria baked Lisa's Saturday number of cookies.

If 96 is the wrong answer, then try:

Lisa Friday: 24

Lisa Saturday: 36

Maria total: 60

Cookie total: 120

Answer:

a trapezoid i think

Step-by-step explanation:

i hope this helps

Super sorry if if im wrong

Answer:

x = 2

y = 4

Step-by-step explanation:

y = 2x

x = -y + 6,   y = 6 - x

substitute for y:

2x = 6 - x

3x = 6

x = 2

y = 4

Answer:

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.

Hope it helps..

Have a great day : P

Answer:

A prism that has 3 rectangular faces and 2 parallel triangular bases, is a triangular prism (refer to the attached picture). This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.

This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.The surface area of a triangular prism is nothing but the amount of space on the outside.

This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.The surface area of a triangular prism is nothing but the amount of space on the outside.The Surface area of a triangular prism is given as:

[tex]ab \: + 3bh[/tex]

Answer:

60° + 35° = x

Step-by-step explanation:

The line CG is cutting the angle m<BCG to have m<BCF and m<FCG. Hence;

m<BCG = m<BCF + m<FCG

Given the following

∠BCF = 60°

∠FCG = 35°

Substitute

m<BCG = m<BCF + m<FCG

m<BCG = 60°+35°

hence the required expression is 60° + 35° = x  where m<BCG is x

Answer:

all i know is 6 is 72/30 because I'm busy right now sorry that I don't have the simplest form of answer

Answer:

6. 2 2/5

7. 66/145

8. 1 1/5

Step-by-step explanation:

Answer:

273984828kdjsssdjdjdjdjddddeejddfj

Answer:

47

Step-by-step explanation:

First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.

Answer:

25.5 mi

Step-by-step explanation:

12 22.5  X

Let X be the shortest distance we are trying to find.

a units 2 b units 2 c units 2

12 units 2 + (22.5)=c units 2

144+506.25=c units 2

650.25=c units 2

[tex]\sqrt{x} 650.25[/tex]=c units 2

25.5

Answer:

Difference in area = 30 cm²

Step-by-step explanation:

Given:

Width of both rectangle = 6 cm

Difference in perimeter = 10 cm

Find:

Difference in area

Computation:

Perimeter of r1 = 2(L1 + 6)

Perimeter of r2 = 2(L2 + 6)

Difference in perimeter = 10 cm

2(L1 + 6) - 2(L2 + 6) = 10

L1 + 6 - L2 - 6 = 5

L1 - L2 = 5

Difference in area = [L1 x 6] - [L2 x 6]

Difference in area = 6[L1 - L2]

Difference in area = 6[5]

Difference in area = 30 cm²

Answer:

B

Step-by-step explanation:

Answer:

y = 27

Step-by-step explanation:

The output is the value of y when x = 5

Substitute x = 5 into the function , that is

y = 12 + 3(5) = 12 + 15 = 27 ← output

Answer:

Vertex is (2, 11)

Step-by-step explanation:

Call the vertex (h, k)

A quick way to find h is use the formula h = -b/2a

In your case, h = -8/-4 = 2

Now, to find k.

k = f(2) = -2(2)^2 +8(2) + 3

            = -8 + 16 + 3

             = 11

Vertex is (2, 11)