Peyton is going to invest $9,700 and leave it in an account for 16 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $14,100?

Answer:

0

Step-by-step explanation:

-7+-3

0

ueewowwwyhkfi9hwhwiw

Answer:

2x + 18 ≥ 21

x ≥ 2/3

Step-by-step explanation:

Let sum be X

2 times the sum means 2x

the sum of a number and 18 means x + 18

at least -21 means ≥ 21

put them together, and you get, 2x + 18 ≥ 21

If solving for x,

2x + 18 ≥ 21

2x ≥ 3

x ≥ 2/3

Answer:

y < -1/2x + 2

Step-by-step explanation:

x+2y<4

subtract x from both sides

2y<-x+4

then divide both by 2

y< -1/2+2

Answer:

the longest side is AC

Step-by-step explanation:

The longest side will be opposite the largest angle.

4x+(2x-6) + (4x-4) = 180 (all triangle interior angles add up to 180 degrees)

simplify:

10x - 10 = 180

10x = 190

c= 19

angle B = 4(19) = 76 degrees

angle A = 2(19) - 6 = 32 degrees

angle C = 4(19) - 4 = 72 degrees

so the longest side is AC

Answer:

Step-by-step explanation:

Given that:

Find the central angle (θ)

Arc is some part of circumference; thus,

the equation of arc length =

A = θ/360 × C

θ/360 = A/C

θ = (360×A)/C

θ = (360×1)/6

θ = 360 ÷ 6

Central angle = 60°

______________

#IndonesianPride

- kexcvi

Answer:

pick the simplest of the 2 equations

Step-by-step explanation:

5y-2x=10

5y = 2x +10

y = 2/5x + 2

now substitute

8x + 5(2/5X +2)=60

8x + 2x + 10 = 60

10x = 50

x = 5

y = 4

Answer:

$2540

Step-by-step explanation:

Given data

Cost per month=$1400

Increase per year=$190

Time = 6 years

Let the total rent per month be y

Hence, the expression for the monthly rent after 6 years is

y= 1400+190(6)

y= 1400+1140

y=$2540

Answer: 20 feet

Step-by-step explanation:

This represents a right angled triangle with the length of the slide being the hypotenuse, the height of the ladder being the height of the triangle and the distance from the base of the ladder being the length.

Solve with Pythagoras rule:

c² = a² + b²

c = hypotenuse

a= length

b = height

29² = 21² + b²

841 = 441 + b²

b² = 841 - 441

b² = 400

b = √400

b = 20 feet

Answer:

D

Step-by-step explanation:

The factorisation of polynomial is (2x-1)(x+1). Therefore, option C is the correct answer.

The given expressions are 2x³-3x²-3x+2 and x-2.

The factors are the polynomials which are multiplied to produce the original polynomial.

Here, the given polynomial can be factored as follows:

x-2 |2x³-3x²-3x+2| 2x²+x-1

      2x³-4x²

     (-)   (+)

___________

             x²-3x+2

             x²-2x

            (-)  (+)

___________

                 -x+2

                 -x+2

                (-)  (+)

____________

                   0

2x²+x-1 can be rewritten as 2x²+2x-x-1

= 2x(x+1)-(x+1)

= (x+1)(2x-1)

The factorisation of polynomial is (2x-1)(x+1). Therefore, option C is the correct answer.

To learn more about the factorisation of polynomial visit:

https://brainly.com/question/16789195.

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Answer:

8 is the diamonds area im not sure if there is a formula for that but its 8

Second shape you could connect the dots to make it more easier to get 15

Third shape is 16 for the area.

Answer:

4

Step-by-step explanation:

11s+9t=116

5s+9t=92

Minus bottom equation from the top

6s+0=24

divide 6 on both sides

s=4

Answer:

1/4.

Step-by-step explanation:

There are 3 even numbers in the 6 numbers on a cube.

So Probability first roll is even = 3/6 = 1/2.

By the same reason Probability of odd number = 1/2.

So: Probability(First is even and second is odd) = 1/2 * 1/2 = 1/4.

Answer:

the answer is 12 yd if you are talking about the question mark.

Step-by-step explanation:

Well, if you split this  figure into two rectangles, then the 16 yd length becomes 12 yd because the one congruent to it is 4 yd. Both sides are congruent so you'd get 12 yd.

Answer:

BRAINLIEST

Step-by-step explanation:

Answer:

...Who is that??

Answer:

Magic sarap

Step-by-step explanation:

Answer:

628.31853

Step-by-step explanation:

V=πr2h

3=π·102·6

3≈628.31853

Answer:

200π

Step-by-step explanation:

h/3πr²

6/3· 10² · π

2 · 100 · π

= 200 π

Answer:

The first Graph

Step-by-step explanation:

its not the third because it's a dotted line, so it wouldn't be equal to. it's not the second because it's shaded in the wrong place, making it less than.

Answer:

346.4 square centimeters (cm²)

Answer:

346.185 cm²

Step-by-step explanation:

radius = diameter / 2

Area of a circle = πr²

radius = 21/2 = 10.5

Area = 3.14(10.5)²

Area = 346.185 cm²

Answer:

168 seconds

I edited the answer.

Step-by-step explanation:

To find the the time taken for both lights to flash at the same time, we need to find the lowest common multiple of 28 and 24.

28 x 6 = 168, 24 x 7 = 168

The LCM of 28 and 24 is 168.

So it takes 168 seconds for both lights to flash at the same time.

Both lights will flash together again at 2 minutes and 8 seconds.

To find When will they flash together again if they flash together.

LCM is the method to find the smallest possible multiple of two or more numbers.

Given that,

A red light flashes once every 28 seconds

A green light flashes once every 24 seconds

A red light flashes every 28 seconds and green light flashes once every 32 seconds. Therefore,  we have to find their least common factor.

LCM(28 , 24) = 168

The red and green light will flash together after every 168 seconds.

Time  =168 seconds

Time =168 / 60 minutes

Time = 2 minutes and 8 seconds

The red and green light will flash together after every 2 minutes and 8 seconds.

Hence, both lights will flash together again at 2 minutes and 8 seconds.

Learn more about LCM here:

https://brainly.com/question/22400981

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Answer:

(-3, 19)

Step-by-step explanation:

Answer:

a. y = 4x  b. 48 feet

Step-by-step explanation:

y = mx + b

Plotted points found:

(5,20) (10,40)

Delta y/Delta x

(40-20)/(10-5)

20/5 = 4

Slope: 4

y = 4x + b

The y-intercept is when x = 0. In this case, the y-intercept is 0.

Equation: y = 4x

b.

y = 4(12)

y = 48 feet

Answer:

definetely not a pog champ :)

Step-by-step explanation:

Answer:

let P=36000

R=12%

T=2years

Step-by-step explanation:

no.of bacteria after 2=P(1+R/100)^t

=36000(1+12/100)²=45158.4

Answer:

7.8 and 18.8 is your answer

Step-by-step explanation:

give other person brainliest and yes Ik I’m very late ~w~

Answer:

Step-by-step explanation:

(6x+1)4 = 124

6x+1 = 31

x = 5

2i

−4

+3i

=

5

2

i

Step-by-step explanation:

i think it helps

Answer:

[tex]\frac{6}{25}[/tex] - [tex]\frac{8}{25}[/tex] i

Step-by-step explanation:

Assuming you mean

[tex]\frac{2i}{-4+3i}[/tex]

To simplify, rationalise the denominator

Multiply the numerator/ denominator by the conjugate of the denominator

The conjugate of - 4 + 3i is - 4 - 3i , then

= [tex]\frac{2i(-4-3i)}{(-4+3i)(-4-3i)}[/tex] ← expand numerator and denominator

= [tex]\frac{-8i-6i^2}{16-9i^2}[/tex] [ note that i² = - 1 ]

= [tex]\frac{-8i+6}{16+9}[/tex]

= [tex]\frac{6-8i}{25}[/tex]

= [tex]\frac{6}{25}[/tex] - [tex]\frac{8}{25}[/tex] i ← in standard form

Answer:

9.38cm

Step-by-step explanation:

you have a right triangle. use pathagorean

x^2 + 9^2 = 13^2

x^2 + 81 = 169

x = √88

x = 9.38

Answer:

1/2 or 0.5!!!!!!!!!!!!!

Answer:

x=1/2

Step-by-step explanation:

take 1/4 from each side to get x on it's own.