On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any additional deposits or withdrawals since then, and if the interest rate has stayed the same, in what year did his balance hit $2300, according to the rule of 72? A. 1993 B. 1992 C. 1994 D. 1991​

Answers

Answer 1

In 1993 year his balance will hit $2300.

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, is the formula for compound interest.

Given, On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly.
Here the given amount = $1150

Amount after getting compound interest in this amount = $ 2300

Since, $2300 is double to the amount $1150

According to the rule of 72, an amount is doubled if the product of annual rate and period (in years) is equal to 72. Also, with the help of this rule we get the approximate value of rate or time.

Since, Here the annual rate of interest = 9.6%

Let the given amount $1150 is doubled ($2300)  in t years.

The, 9.6 × t = 72

⇒ t = 72/9.6 = 7.5

Since he deposited money on April 1 1986,

Thus, Her amount be $2300 on 1993

Therefore,  In 1993 year his balance will hit $2300.

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Related Questions

Use algebra tiles to find the difference. Let one yellow tile equal +1 and one red tile equal –1. 12 – (–9)

Answers

Answer:

21

Step-by-step explanation:

12 - (-9)

Open The bracket :

Recall: - * - = +

Hence,

12 + 9 = 21

The value of a car is $18,000 and depreciating at a rate of 12% per year. Use
an exponential function to find the value of the car after 10 years.

Answers

$5012.02 is the value of the car after 10 years

How to use the exponential function to find the value of the car after 10 years?

Depreciation is the reduction in the value of an asset over time

Given that: the present value of a car is $18,000 and it's depreciating at a rate of 12% per year

The exponential function is given as

Y= a ( 1 - r )^t

where a = present value of a car, r =  depreciation rate and t = number of years

Y = 18,000 (1-0.12)¹⁰

Y = $ 5012.02

Therefore, the value of the car after 10 years is $ 5012.02

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Simplify 4.2^-3 x 5.1^2 x 4.2^4 x 5.1^3

Answers

Answer:

14491.060542

Step-by-step explanation:

How might a change in the environment affect plants differently than it would animals?

Answers

Answer:

Some plants need certain things in their environment, so if their environment changes it could make the plants not grow. Animals would most likely either move to a different area or would get used to the change.

2(1/2z+ 4)- 0.5

what could this be re written as?

a. z-3.5
b. z+7.5
c. z+8.5
d. 2z+3.5

Answers

B
First simplify whatever is in the parenthesis, do 2 times 1/2 and 2*8, which equates to z+8-0.5. Simplify further by subtracting 0.5 from 8 and you get z+7.5

Answer:

B. z+7.5 is the answer I chose

Can someone help with this question

Answers

Answer:

3 and 4

Step-by-step explanation:

Answer

Im cool :d

Step-by-step explanation:

Omar rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 74 cents for each mile driven. Omar had to pay
$166.95 when he returned the truck. For how many miles did he drive the truck?

Answers

[tex]15.99 + 0.74(m)[/tex]

[tex]15.99 + 0.74(m) = 166.95[/tex]

[tex]15.99 - 15.99 + 0.74(m) = 166.95 - 15.99[/tex]

[tex]0.74m = 150.96[/tex]

[tex] \frac{0.74m}{0.74} = \frac{150.96}{0.74} [/tex]

[tex]m = 204[/tex]

He drove 204 miles.

Find the height of a cone that has a radius of 3 in and a volume of 96.91 in.

Answers

Answer:

thank you lil shawty

Step-by-step explanation:

84 miles in 12 days how many miles a day

Answers

Answer: 7 miles a day

Explanation: divide 84 to 12
84 / 12 = 7

Answer:

7 miles per day

Step-by-step explanation:

Solve:

84 divided by 12

Check:

12 multiplied by 7

Hope this helps!

7. The cost of 2 notebooks and 4 folders is
$2.50. The cost of 1 notebook and 6
folders is $2.25. Which statement is true?
A The cost of a notebook is $1.00, and
the cost of a folder is $0.25.
B The cost of a notebook is $0.75, and
the cost of a folder is $0.25.
C The cost of a notebook is $0.25, and
the cost of a folder is $0.75.

Answers

Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

What’s a Y-Intercept that’s the question is asking

Answers

Answer:

A y-intercept is were your line (on a graph) starts.


[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]

Answers

The answer is 19/20
Hope this helps

Answer:

Step-by-step explanation:

[tex]\frac{4}{5}+\frac{3}{20}\\ \\ \frac{4}{5}\left(\frac{4}{4}\right)+\frac{3}{20}\\ \\ \frac{16+3}{20}\\ \\ \frac{19}{20}[/tex]

solve each equation by substituting. y=-3x+5
5x-4y=-3
not different problems they are in the same problem

Answers

Answer:

(1, 2 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 5 → (1)

5x - 4y = - 3 → (2)

Substitute y = - 3x + 5 into (2)

5x - 4(- 3x + 5) = - 3 ← distribute and simplify left side

5x + 12x - 20 = - 3

17x - 20 = - 3 ( add 20 to both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Substitute x = 1 into (1) for corresponding value of y

y = - 3(1) + 5 = - 3 + 5 = 2

solution is (1, 2 )

Answer:

x = 1 and y = 2

Step-by-step explanation:

y + 3x = 5 -------------> (1)

-4y + 5x = -3 -------------> (2)

(1) * 4

=> 4y + 12x = 20 --------> (3)

(3) + (2)

=> 0y + 17x = 17

=> 17x = 17

by dividing both sides by 17

=> x = 1

by putting x = 1 into (1)

=> y + 3*1 = 5

=> y + 3 = 5

=> y = 5 - 3

=> y = 2

If 23% of is 46, then what is the value of ?​

Answers

Answer:

10.58

Step-by-step explanation:

the percentage multiplier is 0.23

so do 46 x0.23 = 10.58

All rational numbers are whole numbers? True or false

Answers

Yes this is very true

f (x) = 3x+2 / x-1 untuk x ≠ 1, maka invers fungsi f (x) adalah​

Answers

Answer:

Step-by-step explanation:

hello : F (x) = 3x+2 / x-1

let : F (x) = y.....x  ?

y= 3x+2 / x-1

y(x-1) =3x+2

yx-y= 3x+2

yx-3x = y+2

x(y-3) = y+2  

for y ≠ 3

x= (y+2)/(y-3)

invers fungsi f (x)  :   g(x) =  (x+2)/(x-3)  ..... x ≠ 3

What is the value of x?
Enter your answer in the box.
x =
Two intersection lines. Angle formed at the top is labeled 3 x plus 50 degrees. Angle formed at the bottom is labeled 6 x minus 10 degrees.

Answers

The answer is 20 degrees

Answer:

the anwser is (60-50)

Step-by-step explanation:

took the test

308 miles in 7 hours. Find the
rate and unit rate in miles per
hour. Please help :) It’s 15 points.

Answers

Answer:

They did 44 miles per hour

Step-by-step explanation:

308 / 7 = 44

what is 5/6 -3/8 ........

Answers

Answer:

11 over 24  = 0.458

Step-by-step explanation:

Debra made $228 for 12 hours of work.
At the same rate, how many hours would she have to work to make $323?

Answers

Answer:

17 hours

Step-by-step explanation:

Set up a proportion: [tex]\frac{12}{228} = \frac{x}{323}[/tex]  Cross multiply, then divide: 12 × 323 = 3876, 3876 ÷ 228 = 17So, she would have to work 17 hours to make $323.

I hope this helps!

*EXTRA PTS* find the value

Answers

Answer:
16) -7
17) 9
18) 5
19) 4
20) 10
21) -9

How?
X+139=132 by the alternate interior angle rule so solve and get -7

-1+14x=12x+17 by the alternate exterior angle rule so solve and get 9

21x+5= 23x-5 by the corresponding angles rule solve and get 5

20x+5+24x-1= 180 because when an angle is one a parallel line the sun of angle to the right or left of it is 180 solve and get 4

6x= 5x+10 by the corresponding angles rule solve and get 10

X+109+x+89= 180 because x+89 is equal to the angle that is too the right of x+109 by the alternate interior angle rule making the sum equal to 108. Solve and you get -9

That was a lot of math
Hope it helps :D

Esther is participating in a walk-a-thon. She will raise 5 dollars for her charity for each lap she walks.
Let l = the number of laps she walks
Let d = the number of dollars she raises
help PLEASEEEEEEE

Answers

Answer:

The equation is d=5l

As the number of LAPS increases, the number of DOLLARS also increases

Step-by-step explanation:

Edge 2021 on assignment

Answer:

d=5l

laps

dollars

Step-by-step explanation:

i did it and its correct

please help me with this

Answers

It’s gotta be C since the “b” term in the equation shows the y intercept; -3 is less than the rest. Don’t listen to the other guy commenting here!

Answer:

Y=MX+C is the equations of a straight line where C is the constant (y intercept)

Looking at a and b and the two graphs c and d

The function c represents the lowest value of the y intercept which is at -3

What is the length of AB? A.2.59 B.9.66 C.10.35 D38.64

Answers

Answer:

what

Step-by-step explanation:

is the questionn

What is 12 * 54 plus 88 ?

Answers

Answer: 736

Step-by-step explanation: Hope that helps!!!!

Happy valentines day and have a great day!

Work out the sum of 1/6 , 4/5 and 2/3 Give your answer as a mixed number in its simplest form.

Answers

Answer:

39/30= 13/10

Step-by-step explanation:

You would need to make all numbers have a common denominator. The least common denominator for them is 30. So multiply the 1/6 by 5. the 4/5 by 6 and the 2/3 by 10. And the answer will come out to be a mixed number.

In the year 2007, a company made $4 million in profit. For each consecutive year after that, their profit increased by 14%. How much would the company's profit be in the year 2011, to the nearest tenth of a million dollars

Answers

Answer:

$6.76 million

Step-by-step explanation:

The computation of the profit of the year in 2011 is shown below:

Given that

In year 2007, it made $4 million profits

And it would be increased by 14% till 2011

So,

= $4 million × (1 + 0.14)^4

= $4 million × 1.68896016

= $6.76 million

Since a middle school​ opened, the boys basketball team has had the same record every season. The team has won a total of 130 games while losing only 10 games. Find the constant of proportionality of wins to losses.

Answers

Answer: 1:13 or for every 10 games they will lose one game

Step-by-step explanation:

I really don't understand this ​

Answers

Answer:

First Game: She wins

Second game: She loses

Third game: She loses

Step-by-step explanation:

If the graph go down she loses, if it goes up she win.

for example on the first try she won so she gets 1 point there is a dot at 1, for the second try she loses so she gets 0 points, the mean score which is (1+0)/2 is .5

on the third try she lost again so she gets another 0 point so (1+0+0)/3 = .33

and so on

Which linear function represents the table
PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

The answer is D.

Step-by-step explanation:

Hope this helps

The answer is the most reasonable and I learned this as well.

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