Hank invested $50,000 in a mutual fund that earns 7% interest compounded annually. How much interest did he earn after 10 years?

F)$35,000
G)$48,357.57
H)85,000
J)98,357.57

Answers

Answer 1

Answer:

F $35,000

Step-by-step explanation:

3,500 is 7% of 50,000 3500 multiplied by 10 years= 35,000

Answer 2

9514 1404 393

Answer:

  G)  $48,357.57

Step-by-step explanation:

The future value formula can be used to find the account value:

  FV = P(1 +r)^t

where P is invested at annual rate r for t years.

  FV = $50,000(1.07^10) ≈ $98,357.57

The amount of interest earned is the difference between this value and the value of the initial investment:

  interest = $98,357.57 -50,000 = $48,357.57

Hank earned $48,357.57 in interest after 10 years.

_____

At 7% interest, the "rule of 72" tells you the doubling time of the account is about 72/7 = 10.3 years. That is the account value will be not quite double the original investment after 10 years. So, the amount of interest earned is only slightly less than $50,000. If the account earned simple interest, the interest earned would be $35,000. Only one answer choice is more than $35,000 and less than $50,000.


Related Questions

3(2x - 7) = 5(x + 3) + 2x7​

Answers

That would equal to 50 or x=50

Answer:

x = -1.52016

Step-by-step explanation:

Step 1: Write equation

3(2x - 7) = 5(x + 3) + 2x⁷

Step 2: Solve for x

Distribute: 6x - 21 = 5x + 15 + 2x⁷Subtract 6x on both sides: -21 = -x + 15 + 2x⁷Add 21 to both sides: 0 = -x + 36 + 2x⁷Rearrange: 0 = 2x⁷ - x + 36Find roots by graphing: x = -1.52016

How many solutions do the following equations have?
Please show steps

8x + 10 = 8x - 7

Answers

Answer:

No Solutions

Step-by-step explanation:

Step 1:

8x + 10 = 8x - 7      Equation

Step 2:

10 = - 7    Subtract 8x on both sides

Step 3:

10 ≠ - 7    No Solutions

Answer:

No Solutions

Hope This Helps :)

Step-by-step explanation:

it has 8 because it got both numbers of 8

Find the equation of this line

Answers

The points are (-4,2) and (3,-4)
using y2-y1/x2-x1
-4-2/3-2
-6/1
slope (m) is -6
to find b part of equation (y=mx+b) plug in point value for x and y
2=-6(-4)+b (multiply -6 and -4)
2=24+b (subtract 24 over)
b=-22
final equation is y=-6x-22

The Smith family and the Jackson family are having their basements remodeled. the Smiths contractor charge $16.50 an hour plus $289 in supplies. the Jackson’s contractor charge is $18.75 an hour and $274.60 and supplies. at how many hours of work with the total cost be the same for both families

Answers

Answer:

6.4 hrs

Step-by-step explanation:

16.5h + 289 = 18.75h + 274.6

16.5h-18.75h = 274.6-289

-2.25h=-14.4

h=14.4/2.25

h=6.4 hrs

check

6.4×16.5=105.6

105.6+289=394.6

18.75×6.4=120

120+274.6=394.6

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 5. If there were
4104 total votes, how many yes votes were there?

Answers

Answer:

the residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 5 to 8. If there were 6776 no votes, what was the total number of votes?

-------

5 to 8 is the same as 5x to 8x where 8x is the number of no votes.

----

If 8x = 6776, then x = 847

Step-by-step explanation:

HOPE THIS HELPED ✨

Explain the error in this student's work and make the correction
2^2 x 2^4 x 2^3 = 2^24

Answers

Answer:2^9

Step-by-step explanation:

The student multiplied the exponents instead of adding the exponents.

Hope this helps.

The person above me did it correctly!!!

I hope it helps lol!!

What is the midpoint of a line segment with the endpoints of (-4, -4) and (6, 14)

(10, 18)
(2, 10)
(-1, 4)
(1, 5)

Answers

Answer:

The midpoint is ( 1,5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

( -4+6)/2 = 2/2 =1

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

( -4+14)/2 = 10/2 =5

The midpoint is ( 1,5)

HELP HURRY. What is the sum when you simplify the expression 3 + (-4)?

Answers

Answer:

-1

Step-by-step explanation:

The answer is negative one

PLEASE HELPPPPPPBobby took out a single loan for $500 and paid a $50 fee. His loan is due in 1 week. Find the effective interest rate on the loan Bobby took out. Round the answer to one decimal place.

Answers

Answer:

He took a loan of $500 and paid a fee of $50 on the loan. This means that #500 divided by $50 =10%

Faith is driving to a concert and needs to pay for
parking. There is an automatic fee of $7 just to enter
the parking lot, and when she leaves the lot, she will
have to pay an additional $2 for every hour she had her
car in the lot.

Answers

Answer: $7 + 2h = Will be the price she pays when she leaves.

Step-by-step explanation:

I WILL AWARD BRAINIEST PLEASE HELP

Answers

Answer:

12

Step-by-step explanation:

zeros are the x-intercepts of any function. to find the x-intercept of this given function, we have to set y equal to 0.

0= -1/2x+6

-6=-1/2x

12=x

x=12

the x-intercept is (12,0), meaning 12 is the zero of this function.

HEY CAN YALL ANSWER DIS PLS!!!

Answers

Answer:

a

Step-by-step explanation:

i just multiplied

Answer:

A. $63.60

Step-by-step explanation:

Multiply $7.95 x 8

This equals $63.60

Does anyone know this?

Answers

Answer:

obtuse scalene

Step-by-step explanation:

Answer:

Obtuse Scalene

Step-by-step explanation:

all the sides have different numbers

√116 rounded to the nearest tenth?

Answers

Answer:

10.8

hope this helps

Answer:

[tex]\boxed {10.8}[/tex]

Step-by-step explanation:

The equation:

[tex]\sqrt{116}[/tex]

Simplify:

[tex]\sqrt{116}[/tex]

[tex]2\sqrt{29} \approx 10.77[/tex]

-Round the approximation to the nearest tenth:

[tex]\boxed {10.8}[/tex]

What is the measure in degrees of the smaller of the angles formed by the hands of a clock at 7:48?

Answers

Answer:

So the measure in degrees of the smaller angle formed by the hands of the clock at 7:48 is 24 degrees

Step-by-step explanation:

At 7:48 , we have two angles formed

One formed by the hour and the other formed by the minute hand

The angle formed by the hour hand will be;

7/12 * 360 = 210 degrees

Let’s now go for the minutes hand

mathematically;

60 minutes = 360 degrees

So 48 minutes will be ;

Recall;

there are 12 hours on a clock, so each hour will be 30 degrees

So the angle for 48 minutes will be;

48/60 * 30 = 24 degrees

a restaurant customer left 0.70 as a tip the tax was 8% and the tip was 10% of the after cost which information is not needed to compute the bill after tax and tip what was the total bill

Answers

Answer:the answer is b.

Step-by-step explanation:

The system of equations graphed below has how many solutions?
A. 0
B. 1
C. Infinitely many
D.2

Answers

Answer:

A. 0

General Formulas and Concepts:

Perpendicular Lines always have 1 solution.

Parallel Lines always have no solution.

Same Lines always have infinite amount of solutions.

Step-by-step explanation:

We see from the graph given that the 2 lines are parallel. Since they are parallel, they will never intersect.

Therefore, we would have no solution, or 0 solutions, as our answer.

Which gives the correct domain and range for the following relation: (-3, 2) , (0, 4) ,

(-3, 0) , (1, 4)


A. Domain: {-3, 0, 4}, Range: {2, 4}


B.

Domain: {-3, 0, 1}, Range: {0, 2, 4}


C.

Domain: {-3, 0, 4}, Range: {0, 2, 4}


D.

Domain: {-3, 0, 1}, Range: {2, 4}

Answers

The answer For this its B

2)
What is the slope of the line defined by the equation y = -3x + 2?
A)
-3
B)
-3/2
C)
2
D)
3

Answers

-3

y=mx+b

m is the slope

m=2

Landen has violin lessons every 3rd day and singing lessons every 5th day. Today Landen has both lessons. In how many days will Landen have both lessons on the same day again?

Answers

Answer:

The 15th day

Step-by-step explanation:

Violin Lessons - 3, 6, 9, 12, 15

Singing Lessons - 5, 10, 15

Landen will have violin and singing lessons on the fifteenth day.

Hope this helped! :)

BRAINLIEST!!!!!
Problem: The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid.

A) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning.
B) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning.
C) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning.
D) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning.
Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).

Answers

Answer:

a. 10 by 25,000

b. 25,000 interval because the x and y axis would both have 10 marks

c. 1-10 because it meets the exact number needed, and gives the graph a nice, square look

d. 1 because it will give the graph a nice size and perfect range.

Step-by-step explanation:

Answer:

b......................

Choose the correct slope of the line that passes through the points (1, −3) and (3, −5).
Answer Choices
A. 1
B. -1
C. 0
D. 1/2

Answers

Answer:

B. -1

Step-by-step explanation:

Use the slope formula to find the slope  m .

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 3) and (x₂, y₂ ) = (3, - 5)

m = [tex]\frac{-5+3}{3-1}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 → B

helpppppppppppppppppppppppp

Answers

Answer:

By looking at the sides. BC is the same as HJ and 3 is half of 6. That goes with the rest of the equation

AC = GJ

AB = HG

So then the change in BCA is Double of GHJ

r/10+4=5 answer plzz

Answers

Answer:

r = 10

Step-by-step explanation:

Solve for  r  by simplifying both sides of the equation, then isolating the variable.

Write an equation for the parabola with the vertex (0,0) and focus (5,0)

Answers

Answer:

Step-by-step explanation:put ha times 4 then divide it by ha 23

Our class buys oranges for 25¢ each and sells them for 50¢ each. If each student in our class of 30 sells 10 oranges, how much money, in dollars, will we make?

Answers

Answer:

$75 Have a nice day!   :)

here is how 50 x 10 = 500    500 x 30 = 15000    15000 divided by 2 = 7500 converted to dollars is $75

Answer:

$75.00

Step-by-step explanation:

50¢-25¢=25¢

30×10=300

300×25¢=7500¢

7500¢=$75$

Adrian can run 9 miles in 3 minutes

Answers

Answer:

ummmm cool

Step-by-step explanation:

Answer:

He's probably just an alien or somethin- i mean yea lol

Step-by-step explanation:

Filling up a tank of gas costs $36.96. If the tank holds 16.5 gallons of gas, then how much d
each gallon cost?

Answers

Answer:

$2.24 per Gallon

Step-by-step explanation:

36.96 divided by 16.5 is 2.24, then to check that multiple 2.24 by 16.5 and you get the total cost of 36.96. Hope this helps.

Please help!
(Please do not answer with links or “idk but good luck”)

2(4z + 9) = 34

Answers

z = 2

Distribute: 8z + 18 = 34
Then subtract 18 from both sides
8z = 16
Divide both sides by 8 to isolate z

Answer: z=2

Step-by-step explanation:


ASAP

Level 3
The volume of a rectangular pool is the product of the pool's area and depth. Suppose a pool that is 12 feet deep has
a volume of 10368 ft? What is the area of the pool?
The area of the pool is
square feet.
The area of the pool is the product of the pool's length and width. Suppose the pool's length is 24 ft. What is the
pool's width?
The pool's width is
feet

Answers

Answer:

The area of the pool is [tex]864\ ft^2[/tex]

The pool's width is 36 ft

Step-by-step explanation:

Volume and Area

The volume of a rectangular pool is the product of the pool's area and depth. We are given the pool's depth d=12 feet and the pool's volume V=10368 [tex]ft^3[/tex]

Since:

[tex]V= d*A[/tex]

Solving for A:

[tex]\displaystyle A=\frac{V}{d}=\frac{10368}{12}=864\ ft^2[/tex]

The area of the pool is [tex]864\ ft^2[/tex]

Now we calculate the pool's width, knowing the area is the product of the pool's length and width. Knowing the length is L=24 ft:

[tex]A=L*W[/tex]

Solve for W:

[tex]\displaystyle W=\frac{A}{L}=\frac{864}{24}=36[/tex]

The pool's width is 36 ft

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