Daphne borrows $2500 from a financial institution that charges 6% annual interest, compounded monthly, for 2 years. The amount that Daphne will need to pay back at the end of the term is

Answer:

9h + 18

Step-by-step explanation:

9 multiplyed by h is 9h. 9 multiplyed by 2 is 18. Therefore it is 9h + 18.

Answer: 36.4 seconds

(Unitary method)

5 meters take 2 seconds

1 meter takes 2/5 seconds

91 meter takes 2/5 * 91 --> 36.4 seconds

The time taken by Andre to run 91 meters is 36.5 seconds.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: Distance travelled by Andre=5 meters in time t=2seconds

Thus Andre's speed = 5/2

                                  =2.5 m/sec

Thus time taken to run 91 m is = 91/2.5

                                                  =36.5 seconds

Hence, The time taken by Andre to run 91 meters is 36.5 seconds.

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The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.

The required proofs are stated below:

                  Statement                                 Reason

1. <SPR ≅ <PRQ                                       Alternate angle property

2. PT ≅ TR                                               Definition of a mid-point

3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex]                           Perpendicular bisector property

4. ST ≅ TQ                                              Mid-point of a segment

5. PQ ≅ SR                                             Opposite side congruent property

6. ΔPQs ≅ ΔQRS                                    Side-Angle-side (SAS) property

7. <PQR ≅ <SPQ                                    Right angle property

8. PQ ≅ QR                                            Congruent consecutive side property

Therefore given that PQ ≅ QR, then the given quadrilateral is a square.

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Answer:

x = 3/2 or 1.5

Step-by-step explanation:

(9(4x-1))/2x = 15

simplify the 9(4x-1) = 36x-9

(36x-9)/2x = 15

multiply both sides by 2x to take out the fraction

36x-9 = 15(2x)

36x-9 = 30x

subtract by 30x on both sides, and add 9 on both sides

36x-9-30x = 0

36x-30x = 9

6x = 9

x = 9/6 = 3/2 or 1.5

Answer:

1) x = 3, y = 2 or (3, 2)

2) x = 0, y = 2 or (0, 2)

6) x = 3, y = – 4 or (3, – 4)

Step-by-step explanation:

I will only provide solutions for questions 1, 3, and 6 in accordance with Brainly's guidelines.

[tex]\displaystyle\mathsf{\left \{ {{\:\:Equation\:1:\:y\:=\:-2x\:+\:5} \atop{Equation\:2:\:y\:=\:-x\:+\:2}} \right. }[/tex]  

Substitute the value of y in equation 2 into the first equation:

y = -2x + 5

-x + 2 = -2x + 5

Add 2x on both sides:

-x + 2x + 2 = -2x + 2x + 5

x + 2 = 5

Subtract 2 from both sides to isolate x:

x + 2 - 2 = 5 - 2

x = 3

Substitute the value of x into Equation 2 to solve for the value of y:

y = -x + 5

y = -(3) + 5

y = 2

Therefore, the solution to the given systems of linear equations is: x = 3, y = 2 or (3, 2).

[tex]\displaystyle\mathsf{\left \{ {{Equation\:1:\:3x\:+\:5y=\:10} \atop{Equation\:2:\:y\:=\:-5x\:+\:2}} \right. }[/tex]

Substitute the value of y from Equation 2 into Equation 1:

3x + 5y = 10

3x + 5(-5x + 2) = 10

Distribute 5 into the parenthesis:

3x + -25x + 10 = 10

Combine like terms:

-22x + 10 = 10

Subtract 10 from both sides:

-22x + 10 - 10 = 10 - 10

-22x = 0  

Divide both sides by -22 to solve for x:

[tex]\displaystyle\mathsf{\frac{-22x}{-22}\:=\:\frac{0}{-22}}[/tex]

x = 0

Substiute the value of x into Equation 2 to solve for y:

y = -5x + 2

y = -5(0) + 2

y = 2

Therefore, the solution to the given systems of linear equations is: x = 0, y = 2 or (0, 2).

[tex]\displaystyle\mathsf{\left \{\quad\:Equation\:1:\:-2x+6y=\:-30} \atop{Equation\:2:\:y-2x=\:-10}} \right.}[/tex]

Add 2x to both sides of Equation 2 to isolate y:

y – 2x = –10

y – 2x + 2x = 2x – 10

y = 2x – 10

Substitute the value of y from the previous step into Equation 1:

– 2x + 6y =  – 30

– 2x + 6(2x – 10) =  – 30

Distribute 6 into the parenthesis:

– 2x + 12x  – 60 =  – 30

Combine like terms:

10x – 60 =  – 30

Add 60 to both sides:

10x – 60 + 60 =  – 30 + 60

10x = 30

[tex]\displaystyle\mathsf{\frac{10x}{10}\:=\:\frac{30}{10} }[/tex]

x = 3

Substitute the value of x into Equation 2 to solve for y:

y – 2x = –10

y – 2(3) = –10

y – 6 = –10

y – 6 + 6 = –10 + 6

y = – 4

Therefore, the solution to the given systems of linear equations is: x = 3, y = – 4 or (3, – 4).

Answer:

tans=0.8770580193

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using DMAS, let's solve.

Conclusion:

Therefore, the answer is:

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

y= 2x - 1

Step-by-step explanation:

i hope that helps

Answer:

-5/12/ D

Step-by-step explanation:

-9/12 -(-1/3)

turn 1/3 into a fraction with a similar denominator

-9/12-(-4/12)

-(- = addition (+)

-9+4= -5

-5/12

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is B. Vertical

Vertical Angles have each of the pairs of opposite angles made by two intersecting lines .

Answer:

vertical

✌️❤️✌️

......

Answer:

9

Step-by-step explanation:

For each pizza variety, Daniel can choose 18 different toppings. Therefore, for 23 pizza varieties, Daniel can choose from 23 * 18 = 414 different combinations of varieties and toppings.

For each pizza size, Daniel can choose from 414 different combinations of varieties and toppings. Therefore, for n pizza sizes, Daniel can choose from n * 414 = 3726 combinations

414n = 3726

divide both sides by 414 to isolate the n

n = 9

Answer:

y is the height and x is the length

Step-by-step explanation:

Remember when you're doing y and x axis y is height and x is length it works like coordinates.

Answer:

282.6 cm

Hope it helps:)

Answer:

4/15 of an inch

Step-by-step explanation:

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Hope this helps

Have a great day

~Zero

Answer:

4/15 of an inch

Step-by-step explanation:

A worm wriggled forward 4/5 of an inch in 3 minutes.

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Answer:

2. a & c

3. a, b & c

Step-by-step explanation:

Substitute each solutions to the question to see if you get the answer

a. 5(2)-0=10 -- so (2,0) is the solution

b. 5(3)-0=15 -- (3,0) is not the solution

c. 5(0)-(-10)=10 -- (0,-10) is the solution

d. 5(1)-(1)=4 -- (1,1) is not the solution

a. -(-4)+ 6(1) = 10 -- so (-4,1) is the solution

b. -(-22)+ 6(-2) = 10 -- so (-22,-2) is the solution

c. -(2)+ 6(2) = 10 -- so (2,2) is the solution

d. -(10)+ 6(0) = - 10 -- so (10,0) is not the solution

Answer:

#5 -1.75, 2.5, -0.2

#6 3 1/2, 2 1/4, -1/2

Step-by-step explanation:

Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)

Answer:

B)

Step-by-step explanation:

10/5 + 4(72 - 6)

10/5 + 288 - 24          Distribute the 4 to 72 and 6

2 + 288 - 24               Divide

2 + 264                       Combine the like terms

262                        

Answer: Lightning struck 22.5 times in 6 minutes, of the second storm.

First Storm

7/4= 1.75 strikes per minute

Second Storm

1.75+2=3.75

3.75*6=22.5 strikes in the second storm

Answer

so uh

Step-by-step explanation:

thats how to solve

Answer:

look it up i need my coins

Step-by-step explanation:

Answer:

y = -1/2x+4

Step-by-step explanation:

y = 2x-1

This equation is in slope intercept form  y = mx+b  where m is the slope

m=2

A line perpendicular will have a slope that is the negative reciprocal

m = -1/2

Using the slope intercept form

y = mx+b

y = -1/2x+b

and the point given (2,3)

3 = -1/2(2)+b

3 = -1+b

4 =b

y = -1/2x+4  is the equation of a line that is perpendicular to the original line and contains (2,3)

Answer: 8/19

Step-by-step explanation:

15/19 - 7/19 = 8/19

8/19 cannot be simplified further

Answer:y=16

Step-by-step explanation:

Answer:

14 rides

Step-by-step explanation:

23.50-6= 17.5

17.5/1.25=14

Answer:

630 is 28% of 2250.

Step-by-step explanation:

28 / 100 = .28

2250 X .28 = 630.

Answer:

Step-by-step explanation:

the answer is 5.76$ , 20% is -1.44$

Answer:

I dont know your answer

Step-by-step explanation:

Because i dont