A $3,000 deposit for 66 months compounded at an annual interest rate of 1.6%. What is the interest and the account balance at the end of the 66 months

Answers

Answer 1

Answer:

interest: $275.77balance: $3,275.77

Step-by-step explanation:

The account value is given by the compound interest formula:

  A = P(1 +r/12)^n

Principal P invested at annual rate r compounded monthly for n months.

__

Using your parameters, the account balance would be ...

  A = $3000(1 +0.016/12)^66 = $3275.77 . . . account balance

The interest is the difference between this balance and the original investment amount:

  interest = $3000 -3275.77 = $275.77 . . . interest


Related Questions

One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble. Each small bubble has a radius of 5 centimeters. What is the radius of the large bubble?

Answers

Answer:

R = 10 cm

Step-by-step explanation:

The area of a spherical shape is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the sphere

ATQ,

One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble.

The radius of each small bubble is 5 cm

Using the given condition,

[tex]4\pi R^2=4\times (4\pi r^2)\\\\R^2=4r^2\\\\R=\sqrt{4r^2} \\\\R=2r\\\\R=2\times 5\\\\R=10\ cm[/tex]

So, the radius of the large bubble is equal to 10 cm.

Answer:

20cm

Step-by-step explanation:

5cm+5cm+5cm+5cm=20cm

Can someone round these to the nearest .1

1.602564102564103

2.380952380952381

Answers

Answer:

1.6; 2.4

Step-by-step explanation:

five or more round up

4 or less leave as is

what's
[tex] \sqrt{56 \times 56} [/tex]

Answers

Answer:

That would be 56. :D

Nice drawing sir/ma'am/person. :D

Step-by-step explanation:

PLZ HELP ME ITS ALMOST DUE

Answers

GO UP 12 COME BACK DOWN 13- THEN SUB TRACT THE LINE

3/5(a + 5.25) = 7.35 What does a equal

Answers

Answer:

a = 7

Step-by-step explanation:

Let's solve your equation step-by-step.

3/5(a+5.25)=7.35

Step 1: Simplify both sides of the equation.

3/5(a+5.25)=7.35

(3/5)(a)+(35)(5.25)=7.35 (Distribute)

3/5a+3.15=7.35

Step 2: Subtract 3.15 from both sides.

3/5a+3.15−3.15=7.35−3.15

3/5a=21/5

Step 3: Multiply both sides by 5/3.

(5/3)*(3/5a)=(5/3)*(21/5)

a=7

Helpppppppppppp plz helpppppppppppppp ​

Answers

Answer:

trueeee :) that is my answer

If you help me u are the best ;)​

Answers

Answer:

Area = (8 + 2x)² mi²

Step-by-step explanation:

Length of the side of a park = 8 mi

Width of the road around the park = x mi

Length of one side of the park with the road = (8 + 2x) mi

Area of the park with road = (side)²

                                            = (8 + 2x)²

Therefore, combined area of the park and road is (8 + 2x)² square miles.

hey....lol i need help on this

Answers

W = 32 blaaaa blaaaaaaaaa blaaaaa

Answer:

W = 32

Step-by-step explanation:

lol.

Write an expression equivalent to m+m+m+m that is sum of two terms

Answers

the answer is 4m

and 2 plus 2 is 4

i don't know if I'm right

a university directory has 25 pages filled with students' names. There are a total of 15,050 names in the directory. Each page has an equal number of names. How many names are on each page?
p l e a s e h e l p ; - ;

Answers

Are you in 5th grade

what is pi and what is its number

Answers

Answer:

pi is an irrational number and its value

is 22/7 in fraction and 3.14 in decimal

and 22/7 is rational number

hope it helps

Answer:

Pi is the ratio of a circle's circumference to its diameter.

The first 10 digits are 3.1415926535

Step-by-step explanation:

If discount rate is 12%, the present value of Rs X recieved at the end of each year for the next five years is equal to

Answers

Answer:

Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Step-by-step explanation:

To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?

Solution -

We know that, formula for finding the Present vale is given by

Present value = Future value / (1 + r)ⁿ

where r is the rate of interest

and n is Number of periods

Now,

Here in the question, we have

r = 12% = 12/100 = 0.12

n = 5

Also, Given that, we have received Rs X at the end of each year

So,

Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]

                        = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Solve a-3=13
What is Z

Answers

Answer:

a = 16 hope this helps

Step-by-step explanation:

PLEASE HELP I WILL MARK YOU BRAINLIEST determine the exact and approximat solutions for 4(x + 5)^2 = 21 show your steps

Answers

Answer:

x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+5)^2=21

Step 1: Simplify both sides of the equation.

4x^2+40x+100=21

Step 2: Subtract 21 from both sides.

4x^2+40x+100−21 =21−21 4x^2+40x+79=0

For this equation: a=4, b=40, c=79

4x^2+40x+79=0

Step 3: Use quadratic formula with a=4, b=40, c=79.

x= −b±√ b^2−4ac/2ax

= −(40)+√ (40)^2−4(4)(79)/2(4)

x = 40^2±√ 336/8

x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21

Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

( I hope this was helpful) >;D

like terms have the same _____ with the same _______​

Answers

Answer:

like terms have the same VARIABLES with the same POWER

:)

Answer:

Variables; Powers

Step-by-step explanation:

Like terms have the same variables with the same powers. Eg:-

[tex]3 {x}^{2} \: and \: 9 {x}^{2} [/tex]

These are like terms as they both have the same variables and powers

0.5+2x < 14.5 whats the answer

Answers

Answer:

x < 7

Step-by-step explanation:

0.5 + 2x < 14.5

2x < 14.5 - 0.5

2x < 14

x < 14 ÷ 2

x < 7

( To solve this is basically solving an equation. It's just that that instead of an equal sign, a greater than, less than, greater than or equal to or a less than or equal to sign is present. )

how is a corm different from a bulb?​

Answers

Answer:

Corm and Bulb- Differences. Bulbs are structurally short stems with fleshy leaves or leaf bases. Corms are rounded, underground storage organs consisting of a swollen stem base covered with scale leaves. Bulbs are modified leaves that store nutrients.

Step-by-step explanation:

If JKLM is an isosceles trapezoid, find each value listed below. Help ASAP !!

Answers

The answer to your question is x=14

I need help ASAP
questions:
1. what is the measure of angle K?
2. What is the measure of angle M?
3. what is the value of "x"?​

Answers

1) k is 180*-120*=60*
2)M is 180*-40*=140*

Could someone please answer this for me and explain clearly how to do it?

Answers

Answer:

your answers will be

A》3

B》-4

Step-by-step explanation:

hope it helps you

have a great day!!!

Find the measure of each angle in the isosceles trapezoid.
(I found one already)

Answers

Answer:

∠A = 116°

∠B = 116°

∠C = 64°

Step-by-step explanation:

since it is an isosceles trapezoid, ∠C = ∠D = 64°

∠A would be same side interior to ∠D so it would be 180° - 64° = 116°

∠B = ∠A = 116°

The  measure of each angle in the isosceles trapezoid are; ∠A = 116°

∠B = 116° and ∠C = 64°

What is isosceles trapezoid?

Due to the figure being isosceles trapezoid, it is symmetric.

Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.

Since it is an isosceles trapezoid, ∠C = ∠D = 64°

Here we can use the  symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°

We have ∠A that would be same side interior to ∠D

Thus, it would be 180° - 64° = 116°

∠B = ∠A = 116°

Learn more about isosceles trapezoid here:

brainly.com/question/4084820

#SPJ2

Find the indicated side of the
right triangle.
45°
у
6
45°
y = [?]/
Enter

Answers

Answer:

y = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = 6[tex]\sqrt{2}[/tex]

Find the common
ratio of the geometric sequence 1, -3, 9, -27, 81, ...?

Answers

the common ratio is -3, u are multiplying each term by -3

Eric and his two sister shared amount of money in ratio2:7 respectively. If Eric had 300.00 and the remaining amount shared equally among the sister.How much did each sister get.

Answers

Answer:

The equal amount is 525 .

Step-by-step explanation:

Given that,

Eric and his two sister shared amount of money in ratio2:7 respectively.

Amount with Eric = 300

It means,

2x = 300

x = 150

So,

7x = 7(150)

= 1050

As the remaining amount shared equally among the sister. So, the equal amount is 525 .

Together Jason and Judy have read 24 mystery novels. Judy has read less than three times as many as Jason. How many mystery novels have each of them read.

Answers

Omitted / Incomplete Question : Judy has read 4 Less than three times as many as Jason

Answer:Jason has read  7 mystery novels and Judy has read  17 mystery novels

Step-by-step explanation:

Total number of mystery books read by  Jason and Judy =24

Let Number of mystery books read by Jason=x

and  Number of mystery books read by Judy= 3x-4

So that the total number of book read by both of them will be expressed as

x +(3x-4) =24

x +3x-4 =24

4x=24+4

4x=28

x=28/4=7

There fore  Jason has read  7 mystery novels

and Judy = 3x-4 = 3 X 7- 4 =21-4=17mystery novels

Someone plz help me plz

Answers

Answer:

i woyld say 1/3 and 2/5

Step-by-step explanation:

they aer bigger parts then the other

Answer:

if you find both areas and compare them with a common denominator youll see that 8/15 and 1/6 is greater .


Write an equation for the line shown above:
y = x +

Answers

the answer is y=4x+3

Answer:

the answer is y=4x+3

Step-by-step explanation:

Nichole's rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole can expect the sprinkler to cover?

Answers

Answer:

153.9 ft²

Step-by-step explanation:

Given that:

Radius of circular lawn = 7 feets

To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn

Area of a circle, A = πr²

A = π * 7 * 7

A = 153.93804

A = 153.9 ft²

Which student has the greater median test score?

Answers

Answer:

amy, since the middle term is further up the graph

Step-by-step explanation:

median is the middle term, amy's middle term is further

Kree works for a constant hourly wage of w dollars. Which choice shows the correct relationship between e, Kree's total earnings in a week, and h, the number of hours he worked during the week?

Answers

W*H=E
Hourly wage times the number of hours worked that week equals Kree’s total earnings for the week
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