Owen invested $81,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 ​ % compounded continuously. Zoe invested $81,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 ​ % compounded monthly. After 9 years, how much more money would Owen have in his account than Zoe, to the nearest dollar?

OB be x

[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]

[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]

[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]

[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]

[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]

[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]

Answer:

-5f

and

2g

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 4 = [tex]\frac{1}{3}[/tex] (x - 1) ← is in point- slope form

with m = [tex]\frac{1}{3}[/tex] and (a, b ) = (1, - 4 ) → B

Answer:

X= - 6/20

Step-by-step explanation:

Find the lcm in both sides,,,

Do a cross multiple of the sides,

Answer:

43rd term

Step-by-step explanation:

Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.

So, (169-1)/4=42.

This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!

Answer:

17.2ft

Step-by-step explanation:

just add

11.4+5.8=17.2

Answer:

△RED~△TAN

Step-by-step explanation:

Both triangles are similar, even if they have different sizes. They still retain the same degrees.

Proof: Angle RED

180 - 110 - 28 to find m∠E.

m∠E = 42

m∠A = 42

m∠E = m∠A

Okay,

Im not going to do the project because you draw that but, ill give an online overview of ur "project."

2.4

When rounding, look at the next number. If the next number is 4 or less, the previous number stays the same. If it is 5 or more, the previous number rounds up by 1.

In this case, 7 is greater than 5 so you round 3 up to 4 getting 2.4

Work Shown:

[tex]t = \frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}\\\\t = \frac{113-117}{\frac{11}{\sqrt{28}}}\\\\t \approx \frac{-4}{\frac{11}{5.291503}}\\\\t \approx \frac{-4}{2.078804}\\\\t \approx -1.924183\\\\t \approx -1.924\\\\[/tex]

In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).

The resulting temperature was 8°F.

the answer is x =  6 2/3

ok done. Thank to me :>

Answer:

  C = 25/9

Step-by-step explanation:

Consider the perfect square trinomial ...

  (x -a)² = x² -2ax +a²

The constant (a²) is the square of half the x-coefficient.

For your trinomial, the square of half the x-coefficient is ...

  C = ((-10/3)(1/2))² = (5/3)² = 25/9

Answer:

The correct answer would be 2.00%

Answer:

1. so the express of the shaded region would be

10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x

so 60x-8x

2.

the perimeter is 6*2 bc two sides so 12

and 10x *2 bc two sides 20

so 20x+12 would be the perimeter

Hi,

This is the same situation as a sequence case.

You have two informations :

[tex]\left \{ {{f(1)=5} \atop {f(n)=4f(n-1)-2}} \right.[/tex]

You need to solve this rank by rank for n = 1, 2, 3, 4 and 5.

We already have f(n) for n = 1 : it is f(1) = 5.

n = 2 :

f(2) = 4 * f(2-1) - 2 = 4 * f(1) - 2 = 4 * 5 - 2 = 20 - 2 = 18 because f(1) = 5

n=3 :

f(3) = 4 * f(3-1) -2 = 4 * f(2) -2 = 4 * 18 -2 = 72 - 2 = 70

n = 4 :

f(4) = 4 * f(4-1) -2 = 4* f(3) - 2 = 4* 70 - 2 = 280 - 2 = 278

n = 5 :

f(5) = 4 * f(5-1) - 2 = 4*f(4) - 2 = 4 * 278 - 2 = 1112 - 2 = 1110

so f(5) = 1110

Good Luck

Answer:

I think by mental math it would be 2.8 feet.

Step-by-step explanation:

Answer:

Profit = $21

Step-by-step explanation:

14 sweaters = $154

Cost of 1 Sweater = 154 ÷ 14

= $11

New Cost for 14 Sweaters = $448

New Cost of 1 Sweater = 448 ÷ 14

= $32

Profit Per Sweater = 32 - 11

= $21

Full Profit = 448 - 154

= $294

Answer:

21

Step-by-step explanation:

21

Answer:

either of two angles whose sum is 90°

Hello there! :)

Complementary angles are angles that add up to 90 degrees.

Example:

34 and 56 are complementary angles.

Hope this helps!

~Just a gloomy teen

#CarryOnLearning

[tex]SilentNature \\:([/tex]

Answer:

 y = 4/3x - 3

Step-by-step explanation:

1. Find two pints on the line: ((3,1) and (6, 5).

2. Find the slope: Slope = (change in y-values)/(change in the x-values).

   Slope = (5 - 1)/(6 - 3) = 4/3

3. Use the slope and one point and substitute into y = mx + b to solve for "b"

     y = mx + b                 slope = 4/3   and point (3, 1)

      1 = 4/3(3) + b              4/3 · 3/1 =  12/3 = 4

      1 = 4 + b

      1 - 4 = b

       -3 = b

4.  Write the equation of the line: m = 4/3 and b = -3  Substitute into y = mx + b

      y = 4/3x - 3

Answer:

6.02

Step-by-step explanation:

Answer:

x=-12

Step-by-step explanation

1.3x+3.9-12.4=-24.1

1.3x+3.9=-11.7

1.3x=-15.6

x=-12

Answer:

The smaller angle is 20 degrees.

Step-by-step explanation:

A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.

Say that the angles have 2x and 7x length:

2x+7x=90

9x=90

x=10

Hence the acute angles have degrees 2*10=20, 7*10=70.

The smaller angle is 20 degrees.

Hope this was helpful!

Answer:

ci = [271,953 , 559,953]

Step-by-step explanation:

x = mean: $415953

z = 95% : z value of 95% is 1.960

s = standard deviation = $463364

n = number of observations: 40

X +- Z * S/sqrt N

415953 + - 1.96 * 463364/sqrt40

= 415953 + - 144000

[271,953 , 559,953]

Answer:

$272,355 <μ< $559,551

Step-by-step explanation:

Gradpoint

Answer:

35

Step-by-step explanation:

210 - 175 = 35

175 - 140 = 35

140 - 105 = 35

105 - 70 = 35

I hope this helps!

Answer:

2v6y719x3

Step-by-step explanation:

(1): "x3"   was replaced by   "x^3".  2 more similar replacement(s).

STEP 1

Equation at the end of step 1

 (((2v2 • y711) • v4) • y8) • x3

STEP 2

Final result :

 2v6y719x3

Answer:

100.

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