Peyton is going to invest $71,000 and leave it in an account for 18 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Peyton to end up with $106,000?

Answer:

moncy soup ñomi

Step-by-step explanation:

63=a-=

Answer: There are no solutions.

Step-by-step explanation: Hope this help :D

Answer:

[tex]n = 5[/tex]

Step-by-step explanation:

Given

[tex]2(n+1)! + 6n! = 3(n+1)![/tex]

Required

Find n

Simplify (n + 1)!

[tex]2(n+1)*n! + 6n! = 3(n+1)*n![/tex]

Factorize

[tex]n![2(n+1) + 6] = 3(n+1)*n![/tex]

Divide both sides by n!

[tex]2(n+1) + 6 = 3(n+1)[/tex]

Open brackets

[tex]2n + 2 + 6 = 3n + 3[/tex]

[tex]2n + 8 = 3n + 3[/tex]

Collect like terms

[tex]2n - 3n = 3 -8[/tex]

[tex]-n =-5[/tex]

Multiply both sides by -1

[tex]n = 5[/tex]

Answer:

8cm

Step-by-step explanation:

let x = width

x^2+6x-112=0

we would solve this using the factorization method

the factors of -112x^2 that would add up to 6x are 14x  8x

x^2 - 8x + 14x - 112 = 0

factorise

x(x - 8) + 14(x - 8) = 0

x+ 14 = 0

x - 8 = 0

x = 8

the width is 8cm

x = -14

Answer:

The gradient of the line passing through the points (4·a, -a) and (6·a, 5·a) is 3

Step-by-step explanation:

The gradient of a (straight) line given the 'x' and 'y' coordinates of two points on the line, (x₁, y₁), and (x₂, y₂) can be found using the following formula;

[tex]The \ gradient \ of \ a \ line, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The coordinates of two points on the given line are;

(4·a, -a), and (6·a, 5·a)

Therefore, we get;

[tex]The \ gradient \ of \ the \ line =\dfrac{5\cdot a-(-a)}{6 \cdot a-4 \cdot a} = \dfrac{6\cdot a}{2 \cdot a} = 3[/tex]

The gradient of the line = 3.

Answer:

168 sq inches

Step-by-step explanation:

SA = 2(1.5x6) + 2(1.5x10) + 2(6x10)

= 2(9) + 2(15) + 2(60)

= 18+30+120

= 168 sq inches

Answer:

√75, 9, 9.5, √99, 10

Step-by-step explanation:

that's what I got

Answer:

220

Step-by-step explanation:

Multiply 15 times 10 =150

150+70=220

Hope this helps :)

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Explanation:

After 10 weeks, he'll deposit a total of 15*10 = 150 dollars on top of the $70 already in the account. This means the grand total is 150+70 = 220 dollars

If you need to use algebra, then an algebraic expression you can use is 70+15x where x is the number of weeks. Replace x with 10 and you'll end up with 70+15*10 = 70+150 = 220. It's effectively the same idea and steps as the previous paragraph, but now we're involving a variable.

Answer:

A = -4

B = 5

C = -3

Step-by-step explanation:

Standard form of a quadratic equation is y = Ax² + Bx + C

In the quadratic y = -4x² + 5x - 3, we can use this standard form to find A, B, and C.

Since -4 is the coefficient to x², A is -4.

Since 5 is the coefficient to x, B is 5.

Lastly, since -3 is the last term, C is -3.

So, the answer is:

A = -4

B = 5

C = -3

Answer:

706.86m

Step-by-step explanation:

Square the radius, then multiply by pi.

Answer:

dsefggrgrgrgersd

Answer:

3.2 calories

Step-by-step explanation:

4% is .04

so

80 x .04 = 3.20

Answer:

c) KJ and JH

Step-by-step explanation:

Answer:

lowkey gonna say B

Step-by-step explanation:

shshevr fcfvdbd

Answer:

Step-by-step explanation:

7600 ≥ 250r+425p

7600 ≥ 250(13)+425(11)

7600 ≥ 3,250+4675

7600≥7925

This statement is incorrect. Therefore no, the truck cannot transport that load

Answer:

Square root: sqrt(5) = √ 5 = 2.23606798

Add: -1 + the result of step No. 1 = -1 + 2.23606798 = 1.23606798

Divide: the result of step No. 2 / 2 = 1.23606798 / 2 = 0.61803399nation:

Answer:

It's C.

Explanation:

I took a test on this

Answer:

-15u²

Step-by-step explanation:

[tex]-(4+11)u^{2} \\-15u^{2}[/tex]

same exponent so it can be added together

Answer:

1/2

Step-by-step explanation:

Answer: 1/2

length of A is 6 units

length of B is 3 units

dilated / original

3/6 simplified is 1/2

Answer:

-5

Step-by-step explanation:

-5x+6 = 2(-3x + 1) + x - 16

-5x+6 = -6x + 2 + x - 16

-5x+6 = -5x -14

+6≠-14⇒x∈Ф

Answer:b

Step-by-step explanation:

Answer:

You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing.  The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate

Step-by-step explanation:

Answer:

Answer will be 5890 square feet. Step-by-step explanation: An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. Now 3A = 3×π×625 feet²= 3×3.14×625 = 5887.5 ≈ 5890 square feet.

Step-by-step explanation:

Mark brainiest, thx

Answer:

5062043

Step-by-step explanation:

add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer

Answer:

15 questions

Step-by-step explanation:

9x100=900

900/60=15

9/15=60%

plz mark me as brainliest.

Answer:

Step-by-step explanation:

1. 34

2.12

3. 45