Write a compound interest function to model the following situation. Then, find the balance after the given number of years. $16,000 invested at a rate of 1.2% compounded monthly;7 years

A. A=16,100 (1.001)^7t; $17,469

B. A=16,100 (1.1)^12t; $6,766,377,209

C. A=16,100(1.001)^12t; $17,510

D. A=16,000(0.001)^12t; $24,150

Answers

Answer 1

Answer:

The answer to this question is:

A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

Answer 2

The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]

The balance after 7 years will be $17409.

How to calculate the compound interest if it is compounded monthly?

Let, P = the principle amount

r = the rate of interest, compounded monthly

t = the time period

Therefore, the amount will be

[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]

Given, the invested amount is $16000.

The rate of interest is 1.2%, compounded monthly.

Total duration of investment is 7 years.

Therefore, the model function of this compound interest is:

= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]

The amount will be

[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]

Therefore, after 7 years, the amount will be $17409.

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Related Questions

GIVE BRAINLIEST. Select the correct answer.
What is the value of x in the figure?
X
40°
70°
O A.
40°
O B.
70°
O C.
80°
OD
120°
O E.
150°

Answers

Answer:

E. 150°

Step-by-step explanation:

By exterior angle theorem:

[tex]x = 40 \degree + (70 - 180) \degree \\ x= 40 \degree + 110 \degree\\ x= 150 \degree[/tex]

draw the graph of y=3-1/2x​

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Answer:

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Step-by-step explanation:

Answer:

I attached my sketch of it. Notice how as the y value goes down 1, the x value goes to the right 2.

I would appreciate Brainliest but no worries.

What is the surface area of this design?

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Answer:

210

Step-by-step explanation:

Answer:

The answer is 197

Step-by-step explanation:

I saw this on another question so I hope you trust that this is the right answer

What is -56 = - 8z because I don’t even know the answer

Answers

Answer:

z=7

Step-by-step explanation:

7 times (-8)=-56

hope this helps:)

Answer:

I love algebra anyways  

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Step-by-step explanation:

if g(x)=8(1/2)^x then What is g(3)=

Answers

Answer:

g(3)= 4/3

Step-by-step explanation:

plug in the 3 for the x for get 4/3

Answer:

1

Step-by-step explanation:

put x=3,

8×1/2³ = 8/8 =1

I need help pls pls pls

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Answer:

e. 55 miles hope that helped

Kira rode 20 miles. You can see on the hours 3-4 it starts from 35 and goes to 55 which is 20 miles :)
Hope this helps

The given line passes through the points and (4, 1).

On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (, 3)?

Answers

9514 1404 393

Answer:

  y +3 = 1/2(x +4)

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2

The point-slope form of the equation for a line is ...

  y -y1 = m(x -x1)

Filling in the known values, this is ...

  y -(-3) = 1/2(x -(-4))

  y +3 = 1/2(x +4)

Answer:

B

Step-by-step explanation:

If cosx=-3/7, find the value for cos4x

Answers

Answer:

cos ( 4 x ) = - 479 / 2401

Step-by-step explanation:

:D

Please help me there due tonight!!! All help is appreciated.

Answers

Answer:

1. 160cm²

2. 176.25cm²

3. 33.75ft²

Step-by-step explanation:

Area triangle = (1/2)(base)(height)

1)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(8)(9))+2(0.5(8)(11))

=72+88=160cm²

2)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(7.5)(7.5))+2(0.5(7.5)(16))

= 56.25 + 120 = 176.25cm²

3)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(4.5)(2.5))+2(0.5(4.5)(5))

= 11.25+22.5 = 33.75ft²

Is the following statement true or false?
A parabola opens up when a is positive.
A True
B False

Answers

Answer:

trueeeeeeeeeeeeeeeee3

Answer:

if a is positive the parabola opens up to the right and it's a negative it opens down

What is the approximate area of the circle shown below

Answers

Answer:

A, 616 cm^2

Step-by-step explanation:

Area- πr^2

A- 3.14(14^2)

A- 3.14(196)

A- 615.44 cm^2 or ≈ 616 cm^2

Answer:

A.

Step-by-step explanation:

7. A 15-foot ladder is leaning against a building. The vertical distance from the ground to the
top of the ladder is 10 feet. Which is closest to x, the horizontal distance between the
base of the ladder and the building?
A. 17 feet
B. 23 feet
C. 11 feet
D. Not here

Answers

The best answer to go with is b

1) you deposit $2,300 in a bank account. find the balance after 5 years for each of the following situations: is) the account pays 2.5% annual interest compounded monthly.

Answers

Answer:

Well, After 5 years No interest you'd still have only 2,300 dollars in the bank.

But 5 years with interest you'd have 5750$ in the bank.

Step-by-step explanation:

With no interest, their is nothing added to your bank account, if you don't take anything away from it either then you'd still have the exact same amount.

With 2.5% monthly interest you'd get 3250$ because...5years * 12 months = 60 months...60 months * 2.5% = 150%...2,300$ + 150% = 5750$.

The first sequence follows the rule add 5. The second sequence follows the rule add 3. Both sequences start from 2. Select the option that correctly shows the first 5 terms for each sequence. Question 1 options: First sequence: 2, 7, 12, 17, 22 and second sequence: 2, 5, 8, 11, 14 First sequence: 0, 5, 10, 15, 20 and second sequence: 0, 2, 4, 6, 8 First sequence: 2, 6, 10, 14, 18 and second sequence: 2, 5, 8, 11, 14 First sequence: 2, 7, 12, 17, 22 and second sequence: 2, 6, 10, 14, 18

Answers

Option 1 because they both need to start sequence from 2

John can polish 42 tables in 6 hours. What is the ratios of the number of hours to tables?

Answers

Answer:

1 : 7

Step-by-step explanation:

Answer:

7:1

Step-by-step explanation:

divide 42 by 6 to get how many he can do in one hour

42/6=7

7:1

I need help
SELECT ALL THAT APPLY.
WHICH SHAPE(S) COULD THE FOLLOWING FORMULA BE USED FOR?
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+ b2)

A. Rectangle
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Answers

Answer:

a

Step-by-step explanation:

Help me get these please

Answers

Answer:

10 degrees BELOW = -10

50°F = 50

A LOSS of 20 = -20

Altitude: 15000

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120 ft BELOW = -120


(2 + 3x)
62
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Answers

Answer:

adjacent

Step-by-step explanation:

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Answers

Answer: See Below

Step-by-step explanation:

there is a ton of information here to get through

<a is 34 (half of 68)

<C is 56

triangle YRC is iscocles, YR and RX are both radius, so they are equal. So the base angles must be equal as well. we know that the central angle is 68, because arc YX is 68. to find the measure of angle C use the equation 2x+68=180 (2 of the same angle (x) + 68 makes all the angles in the triangle. 2x=180-68 2x=112x=56

Skip E until the end

<G is 84

<G and the angle that is 96 make a linear pair <G + 96=180<G=84

Arc YS is 112

Arc YS is = <Rfind <R<R and the angle across from ARC YX are a linear pair<YRX is 68<R+68=180<R is 112

<D and F are 42

<D and <F are the base angles of an isosceles triangle (2 sides are the radius again)the central angle in this case is 962x+96=1802x=84x= 42so both D and F are 42

now <E is 96

measure of an angle outside the circle with 2 rays touching the circle is the measure of the larger arc of the circle minus the smaller arc divided by 2the measure of the smaller arc is the same as <Gsmaller arc is 84the larger arc is 360-84the larger arc is 276276-84= 192divide by 2 to get <E192/2=96

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Answers

Answer:

441 square feet

Step-by-step explanation:

Its c :) eeeekkkkkkkk

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Answers

Answer:

(3) A"B"C" can be mapped onto A'B'C' by rotating it 180 degrees

Step-by-step explanation:

well, the other two are true, so that only leaves one option, sorry if this is wrong

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Monomial
Binomial
Trinomial
None of these

also I am groot friend me

Answers

[tex]single \: term \: expression \: is \: called[/tex]

[tex]monomial[/tex]

A pair of adjacent angles are SUR and _____. They are adjacent because they ______.

Answers

Answer/Step-by-step explanation:

Adjacent angles share a common side and also have the same vertex.

One of the angles that are adjacent to <SUR is <NUR.

Therefore:

A pair of adjacent angles area <SUR and <NUR.

They are adjacent because they have the same vertex and share the same side.

Help we need to find c and d and the value of x

Answers

Answer:

c=21, d=69, x=37

Step-by-step explanation:

159+c=180

c=21,

21+d=90

d=69,

3x+69=180

3x=111

x=37

Write an equivalent expression for h + h + h + n + r + r + n

Answers

Answer:

h3 + r2 + n2

Step-by-step explanation:

Answer:

3h+2n+2r

Step-by-step explanation:

I believe you just combine like terms. Since there are 3 hs, 2 ns, and 2 rs, you just them all up and you get 3h+2n+2r.

I hope this helped you!

Will give brainliest for correct answer

Answers

Answer:

A function is a rule that assigns to each input exactly one output.

Step-by-step explanation:

If you have more than one of the same inputs for multiple outputs, it would create a vertical line at somepoint on your line.

Answer:

The correct answer is "a rule that assigns to each input exactly one output".

Step-by-step explanation:

In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from real numbers to real numbers.

Choose all the weights that are equal to 1 ton 200 pounds.

A.
35,000 ounces

B.
1,200 pounds

C.
2,200 pounds

D.
1,200 pounds 100 ounces

E.
1 ton 100 pounds 1,600 ounces please answer this

Answers

Answer:

C. and E. i did the test

Step-by-step explanation:

The only options that are equal to 1 ton 200 pounds are C and E.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We are given that;

1 ton 200 pounds.

Now,

We can compare this value with the given options and see which ones are equal to it. We can use the conversion factors from the search results34 to convert ounces to pounds. We get:

A. 35,000 ounces = 35,000 / 16 pounds 35,000 ounces = 2,187.5 pounds This is not equal to 2,200 pounds.

B. 1,200 pounds = 1,200 pounds This is not equal to 2,200 pounds.

C. 2,200 pounds = 2,200 pounds This is equal to 2,200 pounds.

D. 1,200 pounds 100 ounces = (1,200 + (100 / 16)) pounds 1,200 pounds 100 ounces = (1,200 + 6.25) pounds 1,200 pounds 100 ounces = 1,206.25 pounds This is not equal to 2,200 pounds.

E. 1 ton 100 pounds 1,600 ounces = ((1 x 2,000) + (100 + (1,600 / 16))) pounds 1 ton 100 pounds 1,600 ounces = (2,000 + (100 + 100)) pounds 1 ton 100 pounds 1,600 ounces = (2,000 + 200) pounds 1 ton 100 pounds 1,600 ounces = 2,200 pounds This is equal to 2,200 pounds.

Therefore, by the conversion the answer will be 1 ton 200 pounds are C and E.

Learn more about the unit conversion here:

brainly.com/question/11543684

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simplify 3 upon 10 + 4 upon 5

3^10 + 4^5​

Answers

answer

60073

explanation

3^10 + 4^5 = 60073

PLEASE HELP! WILL GIVE BRAINLIEST! After substituting, what is the first step when evaluating 4y+9 when y=82 O Add 4 and 9. O Multiply 8 by 4. O Divide 9 by 7 O Divide 4 by 7.​

Answers

Answer:

The answer is c

Step-by-step explanation:

The sales tax in your city is 8.8% and an item cost $63 before tax.

How much tax would you pay on that item?
Round to the nearest hundredth or cent.

Answers

Answer:

5.54 in tax

Step-by-step explanation:

63 x .088=5.54

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