answer choices:
3
2 sq root 3
3 sq root 3
6
9

Answer:

$265.27

Step-by-step explanation:

Aaron invested $7,000 in an account paying an interest rate of 3 5/8 compounded continuously. Mia invested $7,000 in an account paying an interest rate of 3 3/4% compounded monthly. After 17 years , how much more money would Mia have in her account than aaron, to the nearest dollar?

Aaron:

A = Pe^rt

r = 3 5/8%

r = 3.625/100

r = 0.03625 rate per year

A = Pe^rt

A = 7,000(2.71828)^(0.03625)(17)

= 7,000(2.71828)^0.61625

= 7,000(1.8519693482716)

A = $12,963.79

Mia:

A = P(1 + r/n)^nt

r = 3 3/4%

r = 3.75/100

r = 0.0375 rate per year

A = P(1 + r/n)^nt

A = 7,000(1 + 0.0375/12)^(12)(17)

A = 7,000(1 + 0.003125)^(204)

A = 7,000(1.003125)^204

A = 7,000(1.8898660935607)

A = $13,229.06

Difference between Mia and Aaron account

Mia - Aaron = $13,229.06 - $12,963.79

= $265.27

Answer:

70

Step-by-step explanation:

Your sister's job requires a lot of traveling. Last week, she drove a different distance each day: 135, 150, 86, 54, and 105 miles. Find the first quartile of the set of distances.

We rearrange the terms

54, 86, 105, 135, 150

First Quartile formula =

1/4 (n + 1)th term

Answer:

/??????

Step-by-step explanation:

Answer:

B.

–80, –110

Step-by-step explanation:

-80 and -110

It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30

-50-30=-80

-80-30 =-110

-80

First Identify the sequence being made here.

10-40 = -30

-20-10 = -30

-50-(-20) = -30

Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.

-50-30 = -80

The next term is -80.

Hope I helped!

Answer:

20cubic yard

Step-by-step explanation:

Volume of cone formula:1/3hπr^2=1/3h(base)

1/3(6)(10)=20cubic yard

Answer:

15 sq cm

Step-by-step explanation:

Let 3x = area of 1st rectangle

7x = area of 2nd rectangle

8x = area of 3rd rectangle

(3x + 7x + 8x)/3 = 18

3x + 7x + 8x = 54

18x = 54

x = 3

3x = 3(3) = 9 = area of 1st rectangle (smallest)

8x = 8(3) = 24 = area of 3rd rectangle (biggest)

24 - 9 = 15 sq cm

Answer:

the answer is option B and option C

Step-by-step explanation:

Answer:

102 in^3.

Step-by-step explanation:

Volume of the  ice cream container = 10*14*12 = 1680 in^3.

Volume of the  sherbet container = 11*18^9 = 1782 in^3.

So the answer is 1782 - 1680

= 102 in^3.

Answer:

20

Step-by-step explanation:

215% of 20 is 43

Answer:

20

Step-by-step explanation:

2.15x = 43

43 divided by 2.15 is 20! :)

Answer:16x2 + 181x + 59

Step-by-step explanation:It cannot be factored

Answer:

Step-by-step explanation:

11.26 is the correct answer

Answer:

(3 × 10^4 ) + (6 × 10^-2)

30000+6/100

(3000000+6)/100=3000006/100=30000.06

Answer:

Step-by-step explanation:

Q¹ = 7.5

Q³ = 17

IQR = Q³ - Q¹

IQR = 17 - 7.5

IQR = 9.5

Answer:

10.5.

Step-by-step explanation:

By similar  triangles:

IJ / 21 = 8 /(8+8) = 1/2

IJ / 21 = 1/2

IJ = 1/2 * 21

= 10.5.

Answer:

40 meters for area 1

12 meters for area 2 so combined it will be 52 meters

this one is hard

explanation is:

the length is 2m more than the width doubled and so the width is 6 so 6 times 2 is 12 + 2 (from the 2m longer) is 14 so then using the formula for rectangles (the shapes may be rectangles due to the lengths being different from the width) (length x 2) + (width x 2)= 40=28+12 and 6+12=18 now 18+ 40 combined gives us 52

Answer:6x^3

Step-by-step explanation: That’s the biggest factor that can be taken out of both equations

Answer: 22

Step-by-step explanation: Divide the total by pi or 3.14 and the diameter is 22 and the radius is 11

Answer:

Step-by-step explanation:

4.)

x-4

5.)

Eucardo's collection of butterflies: 12+2x

Answer:

85 m.

Step-by-step explanation:

Use Pythagoras Theorem:

x^2 = 51^2 + 68^2

=  7225

x = √7225

= 85

Answer:

Distance between mall and library is 6.32 miles.

Step-by-step explanation:

Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).

Since, distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

By this formula,

Distance between (2, 4) and (8, 4) will be,

Distance = [tex]\sqrt{(8-2)^2+(2-4)^2}[/tex]

               = [tex]\sqrt{36+4}[/tex]

               =  [tex]\sqrt{40}[/tex]

               = 6.32 miles

Answer:

[tex]\frac{4\sqrt{7}}{7} \text{ and } \frac{3\sqrt{7}}{7}[/tex]

Step-by-step explanation:

if [tex]\sec x = \frac{4}{3}[/tex], then that means that it is the angle of a right triangle with the hypotenuse equal to 4 and one of the legs (specifically the adjacent leg) equal to 3, since sec(x) is defined as hypotenuse over the adjacent side.

The other leg (specifically the opposite one) will be equal to [tex]\sqrt{16-9} = \sqrt{7}[/tex] by the pythagorean theorem, so csc(x) = hypotenuse over opposite side = [tex]\frac{4}{\sqrt{7}}=\frac{4\sqrt{7}}{7}[/tex].

cot(x) is defined as adjacent over opposite, which is equal to [tex]\frac{3}{\sqrt{7}}=\frac{3\sqrt{7}}{7}[/tex]

That means that the first option, the leftmost one, is correct.

Answer:

Step-by-step explanation:

I think it is helpful to set this up as a proportion as it is the easiest way in my opinion.

1st step: 396/18 and x/11

This is the way you set up the proportion.

2nd Step: You would have to multiply 396 and 11 then divide the value by 18.

396x11 = 4,356

4,356/18 = 242

x=242 Dollars

Answer: 242 dollars

Therefore, Alan would make 242$ while working at the same rate for 11 hours.

Sorry about that, here's the answers.

1. expanded form

2. regroup

3.  place value

4. A, C, D. The strategy I used was place value and regrouping. I chose these by using place value to help me understand how to regroup and what each option would sum to.

5. D. Ten thousands place

Answer:

1. Expanded form

2. Regroup

3. Place value

4. A, C, D,

C is correct because a one is equal to 1.

1 x 4,200 = 4,200. Therefore 4,200 ones is equal to 4,200. D is correct because a ten is equal to 10. 10 x 420 = 4,200. Therefore, 420 tens is equal to 4,200. A is the same as the rest but with hundreds.

5. A

Step-by-step explanation:

1. Expanded form refers to when a number is separated by place values. Like 555,555 being turned into 500,000 + 50,000 + 5,000 + 500 + 50 + 5.

2. Regrouping is separating number by places values to do an equation like subtraction. For example, 5 tens - two ones.

3. Place values refers to a digit in a number like the 1 in 2,134 is in the hundreds place and the 5 in 5,677 is the thousands place.

4. My answer explains it.

5. A is correct as the 2 in 321,705 is 20,000 while the 2 in 32,571 is 2,000. 20,000 is 10 times larger than 2,000. So the answer is 10.

Answer:

A 57.6

Step-by-step explanation:

I took the quiz

Answer:a

Step-by-step explanation:

Answer:

The answer i got was B

Answer:

fr.ee points for base brain.liest if you translate this.

Step-by-step explanation:

ok

Answer:

fr.ee points for base brain.liest if you translate this.

Step-by-step explanation:

Me smurt

Answer:

1024pi/3

Step-by-step explanation:

to find the volume of a sphere you use the equation 4/3*pi*r^3

4/3*pi*8^3

4/3*pi*512

2048/3 pi

This is the volume of the whole sphere but we only need half so we can just divide by 2.

(2048/3 pi)/2

1024/3 pi

Answer: The correct answer is B. 523.3...cm^3

Step-by-step explanation:

4/3*pi*r^3 is the formula

first, divide the diameter by 2 to get the radius, now, you will begin solving.

4/3*5^3*3.14

5*5*5=125

4/3*125*3.14

125*3.14=392.5

4/3*392.5

523.3...