Mackenzie invested $5,200 in an account paying an interest rate of 4\tfrac{1}{8}4 8 1 ​ % compounded monthly. Justin invested $5,200 in an account paying an interest rate of 4\tfrac{3}{4}4 4 3 ​ % compounded continuously. After 20 years, how much more money would Justin have in his account than Mackenzie, to the nearest do.llar?​

Answers

Answer 1

Answer:

1597

Step-by-step explanation:


Related Questions

The population of Indiana showed an annual growth rate of 0.6% between 1998
and 1999. The population in 1999 was approximately 273,000,000. Based on this
model, find the population in 2007.

Answers

The population of Indiana in 2007 can be estimated by using the annual growth rate of 0.6% between 1998 and 1999 and the population in 1999, which was approximately 286,485,882.

To find the population in 2007, we need to calculate the growth from 1999 to 2007. We can do this by multiplying the population in 1999 by 1 plus the growth rate raised to the power of the number of years between 1999 and 2007.
Let's calculate step by step:
1. Calculate the number of years between 1999 and 2007: 2007 - 1999 = 8 years.
2. Calculate the growth rate per year: 0.6% = 0.006.
3. Calculate the population in 2007: 273,000,000 * (1 + 0.006)^8 = 273,000,000 * 1.048834 = 286,485,882 (approximately).
Therefore, based on this model, the population of Indiana in 2007 would be approximately 286,485,882.
For more similar questions on annual growth rate

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Please help (;´༎ຶٹ༎ຶ`)

Answers

D, I’m pretty sure.




Use the Distributive Property to expand 4(8x - 2y)-3=

Answers

Answer:

32x-8y-3

Step-by-step explanation:

4(8x-2y)-3

4 x 8x = 32x

4 x 2y = -8y


A sphere with diameter of 12 cm is being painted. How much more paint is now needed to paint the sphere that has four times the original diameter.
4 times more paint
B 8 times more paint
16 times more paint
D 64 times more paint

Answers

Answer:

64 times more paint will be needed since the volume of the second is 64 times the volume of the first

Step-by-step explanation:

If the original sphere is 12 cm diameter

its radius will be half this measure which is 12/2 = 6 cm

The new diameter is 4 times this, so its radius would be 4 times this and it is 24 cm

Now, the volume of the sphere means we have to raise the power of the radius by 3

The other terms in the formula remains the same for both, so we are simply comparing the radii

so we will have the difference in volume in times of multiples as ;

(24/6)^3 = 4 * 4 * 4 = 64

One of the tallest living trees today is the Mendocino Tree found at
Montgomery Woods State Park, California. Its height is about 11,200
centimeters. What is this height in scientific notation?​

Answers

Answer:

the height in scientific notation is 1.12 x 10^4 :)

LENGHT OF ORBIT AND DISTANCE FROM SUN

Answers

orbit =365.256days

distance=149.60km

20mm 10mm 10mm surface area

Answers

1200
good luckkkkkkkkkk

The area of a circle is 81 ft 2 . What is the π circumference? Leave in terms of Pi.

Answers

Answer:

10.2π

Step-by-step explanation:

Given data

Area of circle=  81 ft^2

Also, the expression for the area of a circle is

A=πr^2

substitute

81=3.142*r^2

r^2= 81/3.142

r^2= 25.77

square both sides

r= √25.77

r= 5.1

Also, the expression for the circumference is

C= 2πr

substitute

C= 2*π*5.1

C= 10.2π

Hence the circumference is 10.2π

Describe, in words, the process you would use to find w.

Answers

Answer:

w = 52°

Step-by-step explanation:

We know that the sum of the angle of a triangle is equal to 180 degrees

In this figure,

w+w+76 = 180

As w = w (Vertically opposite angles)

So,

2w = 180-76

2w = 104

w = 52

So, the value of w is equal to 52°.

There are 32 students in a class.15 students play football only; 10 students play cricket only : 3 students do not play any games. How many students play both games?

Answers

Answer:

4 students

Step-by-step explanation:

32 - 3 = 29

10 + 15 = 25

29 - 25 = 4

4 students
Add 10+15+3=28
32-28=4

25% of 1375???????????????????????

Answers

Step-by-step explanation:

hope it is helpful to you

Answer: 343.75

Step-by-step explanation:

There are multiple ways to do this

1) Use decimals

25% is equal to 0.25

To find 25% of 1375, multiply 0.25x1375.

0.25x1375

=343.75

Or you can use fractions!

25%=0.25

0.25=1/4

Divide 1375 by 4

=343.75

25% of 1375 is equal to 343.75

x−60=180 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

x=240

Step-by-step explanation:

x-60=180

add 60 to both sides

x=240

Answer:

x = 240

Step-by-step explanation:

180 + 60 = x

180 + 60 = 240

Need help with thisssss

Answers

Answer:

4^8

Step-by-step explanation:

Barry is saving up to put new tires on truck the tires will cost 860 he has 180 plans to save 68dollars a week how many weeks will it take to save his money

Answers

Answer:

167.36 weeks

Step-by-step explanation:

Given: Currently has $180, the cost is $860, and he plans to save $68 a week

To find: How many weeks will it take to save his money

Solution: If Barry currently has $180 and needs $860 for his tires also saves $68 a week, divide the amount he wants to save by the amount he saves a week, to find how many weeks will it take to save his money

                                          860 ÷ 68 = 12.64

Subtract 180 because he already has $180 saved currently

                                           180 - 12.64 = 167.36

Hence, it will take approximately 167 weeks to save his money up to $860

A: y = 1.5x
B: x = 1.5 + y
C: x = 1.75y
D: y = 1.75x

NO LINKS TY

Answers

picture won’t load!!

PLEASE NEED HELP ASAP WILL MARK BRAINLIEST
9. What is the equation of the line parallel to 3x + 2y = 8 and passes through the point (4, -3)

Answers

Answer:

C

Step-by-step explanation:

The equation of the line in the slope-intercept form is: [tex]y = 4 - \frac{3x}{2}[/tex].

The slope of the parallel line is the same: [tex]m = - \frac{3}{2}[/tex].

So, the equation of the parallel line is: [tex]m = - \frac{3x}{2} + a[/tex].

To find a, we use the fact that the line should pass through the given point: [tex]-3 = (-\frac{3}{2})*(4)+a[/tex].

Thus, [tex]a=3[/tex].

Therefore, the equation of the line is: [tex]y = 3 -\frac{3x}{2}[/tex].

What is the area of the trapezoid?

12 ft 2
14 ft 2
13 ft 2
10 ft 2

Answers

Answer:

10 ft 2

Step-by-step explanation:

A=a+b2h=3+72·2=10

Helppppp plz :))))))))))

Answers

Answer:

third side = 10

I hope it's helps you

I NEED HELP!!!Please

Answers

Answer:

15.9

Step-by-step explanation:

O/A

Tan47=17/x

x=17/tan 47

Which of the equations below shows the relationship in the table?

Answers

Answer:

Im Sure its A

Step-by-step explanation:

Line a is parallel to line b if the measure of <7 is 114, what is the measure of <4

Answers

Answer: 66

Step-by-step explanation:

just do this, 180-114= 66 it's not even that hard.

hope this helps.

Help pleas brainliest is insured if correct

Answers

Answer:

9 units

Step-by-step explanation:

because if the y-axis is 5 and the x-axis is 9, the line is 9 units.

please help.
a = 5 ft, b = 12 ft
&
b = 5 in, c = 15 in.

Answers

Pythagorean theorem

a^2+b^2=c^2

a=c^2-b^2

Step-by-step explanation:

c=a^2+b^2

5^2+12^2=13

a=c^2-b^2

15^2-5^2= 14.1

Solve the inequality for x.

x - 10 > 14

Simplify your answer as much as possible.

Answers

Answer:

+10 on both sides so

X+10-(10)>14-(10)

x>4

Answer:

x > 24

Step-by-step explanation:

Alright so! Add 10 to both sides and you'lll get your answer!

Joanie's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Joanie's curtain company wants to make 56 curtains, how many feet of fabric will she need?
1 inch =1/12 foot

Answers

Answer: 224 feet

Step-by-step explanation:

Each curtain is 48 inches long, and she wants to make 56 curtains.

However, the fabric store sells by the foot.

There are two ways to do this:

1) You can convert beforehand.

48 inches= 4 feet because 1 inch=1/2 foot.

Multiply 48 by 1/12 to find how many feet are in 48 inches.

= 48/12

=4

So 48 inches= 4 feet

Now, each curtain is 4 feet. There are 56 curtains to be made.

Now multiply by 4 to find how many feet are in 56 curtains.

56x4=224 feet.

Answer= 224 ft

Or: You can convert afterwards

48x56= how many inches in 56 curtains

= 2,688 inches

Then, convert to feet!

1 inch= 1/12 foot

2688 multiplied by 1/12:

=2688/12

=224 feet

Answer= 224 feet

Either way, you both get 224 feet.

17. What is the measure of 2ABC?
(3x+33)
B
47+ B)
O 25°
O 75°
O 108°
O 150°
O 100°

Answers

the answer is 100 degrees I got tht answer right

Which statement is not used to prove that ΔFGH is similar to ΔFIJ?


A. Angle F is congruent to itself, due to the reflexive property.

B. Angles FJI and FHG are congruent, due to the corresponding angles postulate.

C. Points F, J, and H are collinear.

D. Segments JI and HG are parallel.

Answers

Answer:

C. Points F, J, and H are collinear.

Step-by-step explanation:

Given

See attachment for triangle

Required

Which statement is false

Options A, B and D are true while C is false.

Two points are said to collinear if a straight line can pass through them.

From the attached triangle, we can see that a straight line cannot pass through F, J and H.

Hence, they are not collinear.

Since the statement is false, then it cannot be used as part of the proof.

If a cylindrical vessel is 15 cm long and its surface area is 650 cm?, set up an
equation to find its radius.



Answers

Answer:

2π r(15 + r ) = 650

Step-by-step explanation:

The formula for TSA of cylinder is 2πr (r +h)

so

The correct equation is

2π r(15 + r ) = 650

hope it helps :)

Marianne can say hello in more than 7

languages. Which number line could

represent this situation?

Answers

Answer:

Number line A.

Step-by-step explanation:

The first number line A, represents x > 7, which the unshaded circle starting from 7 and moving to the right.

Number line B represents x < 7 with the direction being to  the left (opposite of A).

Number line C is synonymous with A, however the starting point is shaded which represents x ≥ 7

Number line D also follows up from B with D representing x ≤ 7

There are 75 energy bars, 35 energy drinks, and 45 bottles of water. Each scout get the same amount of supplies with nine left over, what is the largest possible # of scouts in the troops (LCM)?

Answers

Answer:

See explanation

Step-by-step explanation:

A scout troop is going hiking. They have 75 energy bars, 35 energy drinks, and 45 bottles of water. If each scout gets the same amount of supplies with NONE left over, what is the largest possible # of scouts in the troop

Energy bars = 75

Energy drinks = 35

Bottles of water = 45

75 = 1, 3, 5, 15, 25 and 75

45 = 1, 3, 5, 9, 15, and 45

35 = 1, 5, 7 and 35

The highest common factor of 75, 35 and 45 is 5

Therefore, each scout get

Energy bars = 75/5

= 15 each per scout

Energy drink = 35/5

= 5 each per scout

Bottle water = 45/5

= 9 each per scout

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