Find the value of the missing side length.
3
12
X
20

Using compound interest, it is found that Gabriel was left with $6,255.

The balance, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which the parameters are given as follows:

In the context of this problem, the values of these parameters are as follows:

P = 6000, t = 2, r = 0.04, n = 12.

The balance after two years is:

[tex]A(2) = 6000\left(1 + \frac{0.04}{12}\right)^{24}[/tex]

A(2) = 6499.

The balance after one year is:

[tex]A(1) = 6000\left(1 + \frac{0.04}{12}\right)^{12}[/tex]

A(2) = 6244.

The interest paid on the first year was:

A(1) - P = 6244 - 6000 = 244.

Hence the amount that he was left with is:

6499 - 244 = $6,255.

More can be learned about compound interest at https://brainly.com/question/24924853

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Answer:

Step-by-step explanation:

6254.41

Answer:  A)  f(x) = (x − 2)^2(x + 1)(x − 3)      

Step-by-step explanation: The graph shows the zeros to be -1, +2 (multiplicity 2), and +3.

When b is a zero, (x-b) is a factor. Then the factors of the function shown are ...

 f(x) = (x -(-1))·(x -2)·(x -2)·(x -3)

 f(x) = (x -2)^2(x +1)(x -3)

how do you surprise a blind person?   you leave the plunger in the toilet !

Answer:

the answer is the second one, I believe I've given the answer to this before.

Answer:

Step-by-step explanation:

Total number of marbles:

Number of brown marbles made of glass:

Required probability:

Answer:

85 Degrees

Step-by-step explanation:

Alternate Interior Angles

9x+4=85

9x=81

x=9

Answer:

8x-1

Step-by-step explanation:

If you combine the like terms "the ones with x" you get 8x-1.

Answer:

Every positive real number has TWO square roots; One is positive and one is negative. They are opposites of each other.

Step-by-step explanation:

So the number 20 has 2

Answer:

No solutions.

Step-by-step explanation:

Easy way to spot is to take the 4x term to the LHS.

[tex]y-4x = 8\\y-4x = 2[/tex]

You're required to find a quantity that is at the same time equal to both 8 and 2, which is obviously impossible.

There are two ways to figure this equation out.

Answer: O No solution

Way One - Graphing

     We can graph the two equations. Points of intersection represent a solution to the set.

-> See attached.

     Since there are no points of intersection, the answer is "O No solution"

Way Two - Analyzing the Equations

     We can see that both of these equations have a slope of 4. We then can set them both equal to the y-intercept to see if they will have solutions.

y = 4x + 8

 -> y - 4x = 8

y = 4x + 2

 -> y - 4x = 2

     Because 8 ≠ 2, but y - 4x = y - 4x, the answer is "O No solution"

Answer:

a store is charged $5.50 each for calculators and a delivery of $25 for the order. If stores sells the calculators for $8 each, how many calculators must be sold to produce a profit of at least $80?

Step-by-step explanation:

Cost minus the charge which is 8 dollars minus 5.50 is the difference in which you divide 80 by it. 8-5.50= 2.5.     80 divided by 25 = 32. Hope this is the answer you're looking for.

Answer:

x = 13

Step-by-step explanation:

x = 7 + 8 - 2

x = 7+6 = 13

just move 2 to the other side

Answer: B

Step-by-step explanation:

Answer:

7.50+2x=23.50

Step-by-step explanation:

I just had this question

Answer:

i think 6x

Step-by-step explanation:

cz we have a variable

The answer is 6x

an algebraic expression is an expression solving for a variable. in 6x the variable x is what you would be solving for.

Answer:

p = 1

Step-by-step explanation:

2/5 + p = 4/5 + 3/5p

2/5 + p = 3p/5

2/5 + p = (4 +3p)/5

2 + 5p = 4 + 3p

5p = 4 + 3p - 2

5p = 3p + 2

5p - 3p = 2

2p = 2

p = 1

Please mark me the brainliest!?!

Answer: C. P = 1

Step-by-step explanation: Plug in 1 to the both p variables on both sides, and you will get the same answer for each equation.

Hope this helped. :)

Answer:

no

Step-by-step explanation:

12/20 = 60%

4/9 = 44.44%

These are not equal.

please mark brainleyst

Answer:

4

Step-by-step explanation:

The slope-intercept form is mx + b = y.

According to the form, 4 = m which is also the slope.

Answer:

Step-by-step explanation:

option B

Complementary angles add up to 90°

m∠A + m∠B = 90

30 + 2x + 10 = 90

       2x + 40 = 90

To find the value of x, we have to isolate x. To isolate x, first we have subtract 40 from both sides.

2x = 90 -40

2x = 50

Now, divide both sides by 2

x = 50/2

x = 25°

∠B = 2x + 10

      = 2*25 + 10

    = 50 + 10

∠B = 60°

Answer:

Rank Topic Problem Formatted Problem

1 Factor x^2‑4 x2−4x2‑4

2 Factor 4x^2+20x+16 4x2+20x+164x2+20x+16

3 Graph y=‑x^2 y=−x2y=‑x2

Step-by-step explanation:

Answer:

t₁ = 14

d = -2

Step-by-step explanation:

Given :-

t₆ = 4

t₁₀ = -4

To Find :-

t₁ and d

Solving :-

t₆ = t₁ + 5d = 4   -(1)

t₁₀ = t₁ + 9d = -4 -(2)

(2) - (1)

4d = -8

d = -2

t₁ + 5(-2) = 4

t₁ = 14

Solution :-

t₁ = 14

d = -2

Answer:

The angle A for the first question is equal to 43.6 degrees

Step-by-step explanation:

1st step:

[tex]\frac{sin\theta}{20} \times \frac{sin 90}{29}[/tex]

2nd step:

Take 20 to the other side.

[tex]sin \theta = \frac{20(sin90)}{29}[/tex]

3rd step:

Solve the right side and then take the inverse sin of the right side to get the value of theta and you get 43.6 degrees

[tex]\theta = 43.6[/tex]

Answer:

2/14, 4/28, 5/35, 7/70 or just 2/14

Step-by-step explanation:

Multiply both the numerator and denominator of 1/7 by 2, to get 2/14, or 2:14

And multiply the numerator and denominator of 1/7 by 3, to get 3/21, or 3:21. So 2:14 and 3:21 are two ratios that are equal to 1:7.

Answer:

a) you need to plot a cross on the graph (with the pencil) in the right place:

(x-axis: 4, y-axis: 2600)

b) the older the car is, the lower its value. there is a negative correlation between the cars age and its value.

c) you need to draw a line of best fit on the graph. where the line is at 3 1/2 years, that is its estimated value. (my guess is around £3000)

Answer:

1/6

Step-by-step explanation:

Idk i just googled it

Answer: The answer is 4% I hope it helps

Step-by-step explanation:

Step-by-step explanation:

4% I hope it serves you <)

a. ΔECR and ΔACR have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.

b. ΔTSE and ΔNOH have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.

Congruent triangles are triangles that have the corresponding sides and angles that are congruent to each other and they have the same shape and size.

a. The information given shows that ΔECR and ΔACR have:

three pairs of congruent sides - CR ≅ RC; EC ≅ AC; and ER ≅ AR.

Therefore, both triangles are congruent triangles by the SSS conrguence theorem.

b. The information given shows that ΔTSE and ΔNOH have:

three pairs of congruent sides - TE ≅ NH; SE ≅ OH; and TS ≅ NO.

Therefore, both triangles are congruent triangles by the SSS conrguence theorem.

Learn more about congruent triangles on:

https://brainly.com/question/2938476

Answer:

a+3p

Step-by-step explanation:

l=a+4p-1p

l=a+3p

Hope this helps :)

Answer:

l = a + 3(p)

explanation:

upper length:  a+ 4(p)

bottom length:  p + l

Therefore,

p + l = a+ 4(p)

l = a + 4(p) - p

l = a + 3(p)

The answer to the question is -4/5

The volume of the vase obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis is 80.115 unit³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume V is given by:

[tex]V=\pi \int\limits^0_5 {(R^2-r^2)} \, dx \\\\R = 2+sinx;r=0, hence:\\\\V=\pi \int\limits^0_5 {(2+sinx)^2} \, dx\\\\V=80.115\ unit^3[/tex]

The volume of the vase obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis is 80.115 unit³

Find out more on volume at: https://brainly.com/question/12410983

Answer:

They should leave Carlo's house by 4:20 PM

Step-by-step explanation:

The movie starts at 8:10 pm, they want to arrive 20 minutes before the movie starts

20 minutes before 8:10 pm = 7:50 pm.

Hence, they should arrive by 7:50 pm

Duration of their activities before the movie is calculated as:

They will bowl for one hour and dinner will take 1 hour and 15 minutes. Travel time is 20 minutes to the bowling alley, 45 minutes ta the restaurant, and ten minutes to the theater.

: 1 hour + 1 hour 15 minutes + 20 minutes + 45 minutes + 10 minutes

= 2 hour 15 minutes + 75 minutes

= 2 hour 15 minutes +1 hour 15 minutes

= 3 hours 30 minutes in total.

The time they are meant to leave is calculated as:

7:50 pm - 3 hours 30 minutes

= 4:20pm