John owns 5 health food stores in the Columbia area, and they are realizing a good profit. John decides to invest a portion of the profits in an annuity
offered by Penn Life Insurance. Penn Life will guarantee John 8 percent interest compounded quarterly for the first 5 years, as long as he deposits
$10,000.00 every quarter of the term of the guaranteed rate. Assuming John fulfills the obligations of the investment, what will be the value of the
investment at the end of the 5-year term?
O $245,446.58
$261,832.74
O $242,970.00
O $255,446.40

Answers

Answer 1

Answer:

b. $242,970.00

Step-by-step explanation:

Answer 2

The value of the investment compounded quarterly at the end of 5 years is $242,970.00.

What is compounded quarterly?

Compounded quarterly is the "interest amount which is earned quarterly on an account or investment".

According to the question,

John rate of interest = 8%

Period (n) = 5years

Principal = $10,000

Amount of compounded quarterly = P(1+[tex]\frac{r/4}{100}[/tex])⁴ⁿ.

= 10000(1+[tex]\frac{8/4}{100}[/tex])⁴⁽⁵⁾

= 10000(1+[tex]\frac{2}{100}[/tex])²⁰

=10000([tex]\frac{102}{100}[/tex])²⁰

=10000(1.02)²⁰

=10000(1.4859)

=14,859.474.

As long as John deposits $10,000.00 every quarter of the term of the guaranteed rate is $228110.526.

In order to find the value of the investment at the end of the 5-year term

$14,859.474.+$228110.526

= $ 242,970.00

Hence, the value of the investment compounded quarterly at the end of 5 years is $242,970.00.

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Related Questions

Which shape never has four congruent sides?
A square
B rhombus
C parallelogram
D isosceles trapezoid

Answers

Answer:

D

Step-by-step explanation:

its not a parallelogram, so that is not possible

the rest are

i hope this helps!

1. Is the number 5 prime, composite,
or neither?

Answers

1. Is the number 5 prime, composite,or neither?The number 5 is prime since it can only be divided by itself and 1.Hope I helped. :)

Answer:

5 is a prime that's the answer

The math team went to lunch to celebrate Ms. Renft's birthday on February 11th. The
cost of the meal with tax was $148. 60. The math team left a 15% tip. What was the
total cost of the meal including tip?

Answers

Answer:

$171.12

Step-by-step explanation:

Including the tip and cost, it is 171.12. Multiply 148.6 by 1.15, which includes the total cost plus another 15% for the tip.

WILL GIVE BRAINLIEST GIVE EXPLANATION

Answers

Answer:

5z+30

Step-by-step explanation:

5(z+6)

^ multiply each term in the parentheses by 5

5z+5x6

then,

5z+5x6 (multiply the numbers)

the answer will be 5z+30

Simplify 2/4 please and thank you

Answers

Answer:

1/2

Step-by-step explanation:

2/4 is equal to 1/2, because if you divide 4 by 2 you get 2, and if you divide 2 by 2 you get one.

Basically, the simplification process would look something like this...

2/4 ÷ 2/2 = 1/2

144 like exponent and with 12 like base

Answers

Answer:

That is not a question, Brainly is an educational app and I suggest you use it that way.

Tomas buys a bag of 5 peaches for $3.55.
Write and solve an equation to find how
much money, m, Tomas paid for each peach-

Answers

Answer: 3.55÷5=m  3.55÷5=0.71 so Tomas paid $0.71 per peach

Step-by-step explanation:

I will give brainliest!!!

Answers

Answer:

In between 4 and 6

Step-by-step explanation:

Since there are 2 negative signs it automatically goes to positive so u would go to positive 5, which is in-between 4 and 6!

Hope this helps!! :D

1. You can buy six cans of root beer for $2.50. How many cans of root beer
can you buy for $10? What proportions will work to solve this problem?

Answers

Answer

24 cans

Step by Step explanation

10$ / 2.5$ = 4

6 * 4  = 24

PLEASE PLEASE HELP !!

Answers

answer: K and O would both be 76°

The enrollment of students in evening classes at a local university decreased by 6% between two recent years. If the total number of students attending evening classes in both years was 13,925 , find how many students enrolled in evening classes in each of the years.

Answers

Answer:

First year: 13925; Second year: 13090

HELP ME PLEASE, GONNA GIVE 25 POINTS!!

Answers

9(2b-5) is the answer

Answer:

(330) -4 (-45) (390)

Step-by-step explanation:

how many quarts are in a gallon ​

Answers

Answer:

4

Step-by-step explanation:

1 US liquid gallon = 4 US liquid quarts

Answer:

1 gallon = 4 quarts

Step-by-step explanation:

Which graph is the answer

Answers

Answer:

D

is the answer

Step-by-step explanation:

5 + 8x < 6x + 12

8x - 6x < 12 - 5

2x < 7

x < 3.5

mark me as brainlist

Y intercept (3,1) and (-4,-6)?​

Answers

Answer:

y-intercept:  (0, -2)

Step-by-step explanation:

Determine by how much x (the run) and y (the rise) change as you go from (-4, -6) to (3, 1):  The change in x is 7 and that in y is also 7.  Thus, the slope is

m = 7/7, or m = 1.

Using the point-slope form and the point (3, 1), we get:

y - 1 = 1(x - 3), or y = 1 + x - 3, or y = x - 2

Comparing this to y = mx + b, we see that the y-intercept is -2.

what equation represents a line whose slope is 1/2 and whose y-intercept is 3

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

anUm, y = mx + b format. M would be the slope, b is the y intercept. and obviosuly x and y are the x and y components :D

y=mx+b where m is the slope and b is the y intercept, m=1/2 and b=3

y=x/2+3 or more neatly

y=(x+6)/2

The distance from the ground to where the ladder is touching the wall is 7
feet. The distance from the wall to the base of the ladder is 4 feet. What is
the length of the ladder?
wall
ladder

Answers

Answer:

L=8.062 feet

Step-by-step explanation:

wall=7

distance=4

Pythagorean theorem

7^2+4^2=L^2

49+16=L^2

65=L^2

L=8.062 feet

The required length of the ladder is given as 8.06 feet.

What are Pythagorean triplets?  

In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.

here,
As mentioned in the question,
perpendicular length = 7, base length = 4 feet,
Let the length of the ladder be x,
Following the Pythagoras theorem,
x² = 7 ² + 4²
x ² = 49 + 16
x² = 65
x = √65
x = 8.06

Thus, the required length of the ladder is given as 8.06 feet.

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please help i am really struggling . i really dont get it thanks :)

Answers

Answer:

I=P-A          

___________________________

What is the midpoint of the segment with endpoints (4,1) and (-1,6)

Answers

Answer:

( 1.5 , 3.5 )

Step-by-step explanation:

Answer:

(3/2, 7/2)

Step-by-step explanation:

We find the mean (average) of 4 and -1, obtaining 3/2 by combining 4 and -1 and then dividing the result by 2.  Thus, the x-coordinate of the midpoint is xm = 3/2.

Similarly, we find the mean of 1 and 6, obtaining ym = 7/2.

Thus, the midpoint is (3/2, 7/2).

12. Remy took out a home-improvement loan to
pay for new kitchen cabinets. The loan was
for $10,000 at an annual interest rate of 5.6%.
Remy paid off the loan in 36 months.
She paid $ Drop-down in all
A. 10.680.00
B. 11,680.00
C. 12,016.00
D. 12,760.00

Answers

Answer:

Step-by-step explanation:

A=P(1+rt)

A=10000(1+.056(3))

A=10000(1.168)

A=$11680

Remy took the loan for [tex]\$10,000[/tex] at an annual interest rate of [tex]5.6\%[/tex] and paid off the loan in [tex]36[/tex] months. She paid [tex]\$11680[/tex] Drop-down in all.

What is interest ?

Interest is the charge you pay when you borrow money from someone or the cost you charge to lend money to someone.

Simple Interest [tex]=\frac{Principal \ * \ Rate \ * \ Time}{100}[/tex]

We have,

Principal[tex]=\$10,000[/tex],

Interest rate [tex]=5.6\%[/tex]

Time[tex]=36[/tex] months [tex]=3 years[/tex]

So,

Interest [tex]=\frac{Principal \ * \ Rate \ * \ Time}{100}[/tex]

              [tex]=\frac{10,000*5.6*3}{100}[/tex]

Interest [tex]= 1680[/tex]

So,

Total amount to be paid [tex]=( 10,000+1680)=\$11680[/tex]

So, the loan for [tex]\$10,000[/tex] at an annual interest rate of [tex]5.6\%[/tex] and time of [tex]36[/tex] months be paid [tex]\$11680[/tex] Drop-down in all.

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Need help with math points and brainlest

Answers

answer: 10 ft (now i’m just typing to make it 20 letters long lol)

Answer: 10 because if they have the same shape then it must be 10.

I'm not sure if they want the same area or the same length. But if you want the volume then it would be 2. Because 2 x 75 = 150 and 15 x 10 = 150. Wait for more responses if needed.

What is the volume of this cone?
Use a ~ 3.14 and round your answer to the nearest hundredth.
7 in
5 in
cubic inches

Answers

Answer:

Volume = 183.26 cubic inches

Step-by-step explanation:

Volume of cone = ⅓πr²h

Where,

r = 5 in.

h = 7 in.

Plug in the values into the formula

Volume = ⅓*π*5²*7

Volume = 183.26 cubic inches (nearest hundredth)

4x-2=14 i already know this just wanted to ask something

Answers

Answer:

4x-2=14

4x=14+2

x=16/4=4

It takes me 20 minutes to grade a students quit. how long in hours does it take me to grade 20

Answers

Answer:

400

Step-by-step explanation:

20 times 20

400 as explained above

Find the 59th term of the arithmetic sequence -8, -13, -18

Answers

Step-by-step explanation:

first term = a = -8

common difference = d = -13+8 = -5

59 th term = a + (59-1) d

= -8 + 58 (-5)

= -8 -290= -298

plz mark my answer as brainlist plzzzz.hope this will be helpful.

hi hi this was a great day i you had to go out for the

Paul's
house
5 miles
Clara's
house
12 miles
What is the shortest possible distance between the houses?

O A. 8.5 miles
B. 13 miles
C. 14.5 miles
OD. 17 miles

Answers

I’m geussing it would be A because it’s the smallest therefore probably the lowest distance

Someone pls help me i dont wanna fail.

Answers

Top left : Unlike the others it is not displayed in a numerical form.
Bottom Left : It is the only item that goes above 1/100%.

The volume of a cylinder is 54 cm. If the radius is 3 cm, what is the height
of the cylinder?
3 cm
O A. 18 cm
B. 9 cm
C. 6 cm
D. 3 cm

Answers

A is the answer if im wrong sorry

Answer:

The answer is C. 6

Step-by-step explanation:

My explanation is i got u bro u can trust me frfr but if you need all the work lmk

The sum of two numbers is 20.8 and their difference os 10.2. Find these numbers.

Answers

Answer:

the numbers are 10.6 and 10.2

calcule:(-2)⁰+(-2)¹+(-2)²+(-2)³

por favor​

Answers

Answer:

-5

Step-by-step explanation:

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