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?

[tex]\\ \rm\leadsto a^2(a^4)^3\div a^{13}[/tex]

[tex]\\ \rm\leadsto a^2a^{12}\div a^{13}[/tex]

[tex]\\ \rm\leadsto a^{14}/a^{13}[/tex]

[tex]\\ \rm\leadsto a[/tex]

Answer:

[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}=a[/tex]

Step-by-step explanation:

Given expression:

[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies a^2 \cdot a^{(4 \cdot 3)} \div a^{13}[/tex]

[tex]\implies a^2 \cdot a^{12} \div a^{13}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies a^{(2+12)} \div a^{13}[/tex]

[tex]\implies a^{14} \div a^{13}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \div a^c=a^{b-c}:[/tex]

[tex]\implies a^{(14-13)}[/tex]

[tex]\implies a^1[/tex]

[tex]\textsf{Apply exponent rule} \quad a^1=a:[/tex]

[tex]\implies a[/tex]

Learn more about exponent rules here:

https://brainly.com/question/27859523

Answer:

100 yes there are trust me

Answer:

Step-by-step explanation:

Intersecting chords theorem:

Substitute values and solve for OS:

Correct choice is B

Answer:

Jason can travel 24 miles in 150 minutes.

Step-by-step explanation:

8= miles. 50&150= mins

8=50.

Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.

150÷50= 3.

So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.

3×8= 24

So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)

Hope this wasn't too confusing,

Hope this helps!

The answer is 2

first, we know that the answer will end up to be positive because the two negatives multiply together and cancel each other out to be a positive. Next, we know that 4 divided by 2 is 2, so the answer is 2.

Answer:

Answer:

X=10

Step-by-step explanation:

-1 + x2 = 4

Add 1 to each side

-1 +1+x/2 = 4+1

X/2 = 5

Multiply each side by 2

X/2 *2 = 5*2

x= 10

Answer:

1 ream = (3x - 4) pesos

Price of n reams = (6x^4-17x^3+24x^2 34x+24) pesos

Solution:(pic1)

number of reams 3x-4

By using synthetic division,

3x-4=0

3x=4

x=4/3

6 -17 24 -34 24 | 4/3

8-12 16-24

6 -9 12-18 0

Final equation is:(pic2)

Answer:

1

Step-by-step explanation:

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

f-1)=1

Answer:

x=2

Hope it's help

Brainliest plz

Answer:

x=2

Step-by-step explanation:

first collect the like term that is

6-2=7x-9x+4x

4=2x divide bothe sides by 2

X=2

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.    

In an isosceles the legs are equal (2x - 6) and the base is x

Perimeter = (x) + (2x - 6) + (2x - 6)

          38  = 5x - 12

        38 + 12 = 5x

            50 =   5x

              [tex]\frac{50}{5} = \frac{5x}{5}[/tex]

               10 = x

Step-by-step explanation:

Given:

Probabilities:

As we see from the probabilities, there is almost twice difference between Florida and Michigan residents.

Answer:

mark as brainliest for full answer rn Ima tell you steps you shoudl and get the ans how to

so 1st 11 by 13 and 13 by 11 take lcm multiply make denominator equal so then numbers between the both numerator of no. is the rational no. so

Step-by-step explanation:

11by 13

11 into 11 by 13 into 21

13 by 11

13 into 13

11 into 13

and frm numerator find the 5 rational no.

Answer:

114

Step-by-step explanation:

3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.

Answer:

D 22ilsjjssiksksksksksksks

Step-by-step explanation:

212

Answer:

104 blue boxes

243 yellow boxes

108 red boxes

54 silver boxes

Answer:

x = 32

Step-by-step explanation:

3x -4 + 3x -8 = 6x -12

6x-12 = 180

in an equation, you do the same to both expressions

6x -12 +12 = 6x. 180+12 = 192

6x / 6 = x. 192 / 6 = 32

x = 32

Answer:

Step-by-step explanation:

Hey there!

so answer for (A is 1)

Answer for (B is 100)

Thank you have fun!

Answer:

Step-by-step explanation:

a) [tex]55^{0} = 1[/tex]

Anything raised to power 0 is 1

[tex]b) 100^{1} =100[/tex]

Answer:

Bryan

Step-by-step explanation:

Rate of Change

Answer:

Malory Makes more money than bryan

Step-by-step explanation:

Answer:

[tex]\frac{104}{100}[/tex]

Step-by-step explanation:

You would multiply 104/100 to the price because it would be 100%, (basically the price), plus the 4/100, the tax.

Answer:

115°

Step-by-step explanation:

From E to B is 180°.

So when looking at angle ACB we get 65°

The angle ACE is equal to 180° - °65 = 115°

To show this is correct we have to add ACE and ACB and that should equal 180° which is true.

Answer:

115°

Step-by-step explanation:

normally straight lines are 180°

so angle ACF is already 90°

to find E, we need to subtract the 90°and the 65°

here it is: 180-(90+ 65)

= 25°

so finally ACE = 90° + 25°

= 115°

;)

Answer:

In the second scenario after 16 days, 150 workers would have completed 150*16=2400 worker days. That leaves 6000-2400=3600 worker days remaining. If you add 30 workers, it would take 3600/180=20 days longer to complete. So, the entire project would take 16+20=36 days to complete.

Answer:

No

Step-by-step explanation:

Not every parallelogram is a rhombus, though any parallelogram with perpendicular diagonals is a rhombus

Answer:

3375

Step-by-step explanation:

Answer:

5/10

Step-by-step explanation:

1/2 = 2/4 = 3/6 = 4/8 = 5/10

5/10

Answer:

5

Step-by-step explanation

multiply numerator and denominator with constant. 2*5 is 10, so 1*5=5, hence, 5/10

Answer:

It's the third one,

Step-by-step explanation:

the only one with the dot in the negatives

Answer:

10

Step-by-step explanation:

600 divided by 60 is 10

Answer:

Jingle's breakeven point is achievable if 4000 units are sold.

Step-by-step explanation:

Answer:

4hours

um...

57×10-== 4 hours

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's evaluate ~

Therefore , the correct choice is ~ A