Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of restarting the investment using the interest earned as principal or cashing out at the end of the 8 months, (A) Calculate the interest due after 8 months. (B) if she restarts the investment into a new one calculate the total value of the investment at the end of the second 8 months

Answers

Answer 1

Using simple interest, we have that:

A) The interest due after 8 months is $11,272.33.

B) The total value of the investment will be of $189,986.24.

The amount of interest earning using simple interest, after t years, with an yearly interest rate of i and an initial investment of P is given by:

[tex]E = Pit[/tex]

In this problem:

Deposit of $178,000, hence [tex]P = 178000[/tex].Interest rate of 9.5% per year, hence [tex]i = 0.095[/tex].8 months, the time is in years, hence [tex]t = \frac{8}{12} = \frac{2}{3}[/tex]

Item a:

[tex]E = Pit[/tex]

[tex]E = 178000(0.095)\frac{2}{3} = 11272.33[/tex]

The interest due after 8 months is $11,272.33.

Item b:

For the second interest, we consider [tex]P = 11272.33[/tex], hence:

[tex]E_2 = Pit[/tex]

[tex]E_2 = 11272.33(0.095)\frac{2}{3} = 713.91[/tex]

The total value will be composed by:

The initial deposit of $178,000.The first interest of $11,272.33.The second interest of $713,91.

Hence, it will be:

[tex]T = 178000 + 11272.33 + 713.91 = 189986.24[/tex]

The total value of the investment will be of $189,986.24.

A similar problem is given at https://brainly.com/question/13176347


Related Questions

what rule is this, please answer correctly, please

Answers

Answer:

Reflection

Step-by-step explanation: It is reflection because it is the same thing just reflected

Answer:

Vertical reflection of MNOP quadrilateral

Step-by-step explanation:

Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.

here the MNOP quadrilateral is reflected over x axis, it is called vertical reflection

Denise is buying four birthday cards for $11.16. Sales tax on the four cards is $0.68. Including sales tax, what is the cost of each card?

Answers

Answer:

$11.16 - $0.68 = $10.48 - price of four cards without tax

$10.48 : 4 = $2.62 - price of one card without tax

Cheers!

Answer:

the cost of each card including sales tax is 2.79

the cost of each card without sales tax is

11.16-0.68=10.48

10.48÷4=2.62

Step-by-step explanation:

New Brunswick middle school had 1,250 students last year this year they had a 15% increase. how many students are in new Brunswick middle achool this year?​

Answers

Okay so 1250x0.15=187.5

1250+187.5=1437.5


1437.5 is your final answer

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends feet per second. The elevator for the miners descends feet per second. One​ day, the equipment elevator begins to descend. After ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another second? At that​ time, which elevator is​ deeper?

The position of the equipment elevator relative to the surface is (blank) feet

Answers

Answer:

272

Step-by-step explanation: I had i

666.96358875 × 411.8596678

Answers

Answer:

274695.40209727081725

Step-by-step explanation:

QUESTION 9 of 10: You enter a bid. Your cost on the product you make is $112 per unit. If you bid at $138 per unit, what percent is the price
you bid over your cost? (Round to the nearest percent)
O a) 19%
Ob) 23%
O c) 81%

Answers

I would say B as the answer... 81 is just to high and 19 doesn't seem right.. so I'm just gonna go with B 23%

I am very sorry if this is wrong in anyway!

Answer:

the answer is 23%

Step-by-step explanation:

i used a percent increase calc... was too lazy to do the work haha

Belvedere goes to the store and buys a garden statue for $30. The store has a sales tax rate of 7.8%. How much tax will Belvedere have to pay?

Answers

Answer:

$2.34

Step-by-step explanation:

30x0.078=2.34

What is the slope of this equation and Y intercept.

Y= 3/5x + 6

Answers

Answer:

the y-intercept is 6 the slope is 3 / 5

Step-by-step explanation:

slope-6

y-intercept-3/5

Answer:

M = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Use the slope-intercept form y = mx + b  to find the slope m.

.

Someone please help with this math question, it is not hard if you're good at math, but I'm on a test.

Answers

Answer:

3

Step-by-step explanation:

Midpoint means EF and FG are both 8 the whole thing is 19 so 19 - 16 = 3

What is the range of this relation?
(8,-9)
(5, -3)
(-4, 6)
(-3, -2)
(6,8)
(8,6)

Answers

Answer:

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Step-by-step explanation:

{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}

The domain is the input and the range is the output

domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}

We put the numbers in order from smallest to largest

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Answer:

(-9,-3,6,-2,8,6) is the answer as the range is always the "second pair" of numbers in any relation.


What is the value of the expression
4(2+y)
2y-z when x=2 and y=4

A.4
B.8/3
C.12/5

Answers

4(2+y)2y-z when x=2 and y=4

4(2+4)2×4-z

4(6)(8-z)

(4×6)(-8z)

24-8z

z=24÷8

8/3

Therefore 8/3 is last answer .

The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [4(2 + y)] / (2y - x)

The value of the expression at x = 2 and y = 4 will be given as,

⇒ [4(2 + 4)] / [2(4) - 2]

Simplify the equation, then we have

⇒ (4 × 6) / (8 - 2)

⇒ 24 / 6

⇒ 4

The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

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What Is the Intersection of Two Sets

Answers

Answer:

the set of elements that are common to each of the given sets

Step-by-step explanation:

25. Save the simultaneous equations 2x-y=4;x+y=5​

Answers

Answer:

Step-by-step explanation:

2x-y=4 ..........(1)

x+y=5 ...........(2)

Add equation 1 and 2:

We get:

3x=9

x=9/3

x=3

Substitute value of x in (2):

x+y=5

3+y=5

y=5-3

y=2

(3,2)

Philip Schofield bench presses 200N over a distance of 0.5m. calculate the work done

Answers

Answer:

100J

Step-by-step explanation:

work done = force x distance

                  = 200 x 0.5

                  = 100J

Can someone help me out with this please​

Answers

Answer:

  a. $4200

  b. $32,300

  c. $5814

  d. $30,686

  e. 2557.17

Step-by-step explanation:

a.

The man can claim all of the allowances shown in the problem statement, except the single person's allowance.

  total allowances = married + young child + child in school + dependent relative

  total allowances = $2400 +500 +1000 +300 = $4200

__

b.

The man's taxable income is his income after allowances have been deducted:

  taxable income = gross income - allowances

  taxable income = $36,500 -4,200 = $32,300

__

c.

The tax is found by multiplying the tax rate by the taxable income.

  tax = (tax rate) ×(taxable income)

  tax = 0.18 × $32,300 = $5,814

__

d.

The net income is the gross income less the taxes paid.

  net income = gross income - tax paid

  net income = $36,500 -5,814 = $30,686

__

e.

The man's net monthly salary will be 1/12 of his annual net income.

  net monthly salary = $30,686/12 ≈ $2,557.17

solve pls brainliest

Answers

Answer:

1)3 meters/second

2)-16°C

Step-by-step explanation:

Hope it can help you lovelots

what is the quotient of 3/4 and 5/8

Answers

Answer:

6/5

Step-by-step explanation:

3/4 ÷ 5/8

Keep Change Flip

3/4x8/5

=6/5

Hope this helps :)

1 (a) The price of a newspaper increased from $0.97 to $1.13 Calculate the percentage increase.​

Answers

Answer:

16.49%

Step-by-step explanation:

0.97+16.49%=1.129953

The percentage increase is 16.49%

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100)

We are given that the price of a newspaper increased from $0.97 to $1.13

WE need to find the percentage increase.​

Therefore,

Intital price = 0.97 ( 1.13 - 0.07)

= 0.16 / 0.97 x 100

= 16/0.97

= 16.49

0.97+16.49%  = 1.129953

Learn more about percent here:

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i need help it is due today

Answers

Answer:

8

Step-by-step explanation:

Using the Heron's formula we can find that the total area of the triangle is 84 inches.

Then, to find the height of the triangle, you have to multiply the area by 2 since the formula for the area of a triangle is (h*b)/2

Now, when we multiply 84 and 2 we get 168, so you have to divide 168 by 21 to find 8.

A number is between 14 and 19. It has prime factors of 2 and 3. What is the​ number

Answers

Answer:

18

Step-by-step explanation:

18devided by 3 is 6 and 18 divided by 2 is 9

The number that has prime factors of 2 and 3 is 18.

What are prime factors?

Prime factors are factors that are prime numbers. Prime numbers are numbers that are divisible by one and itself. Examples are 2 and 3.

What are the factors of the numbers between 14 and 19?

Factors of 15 = 1, 3, 5, 15 Factors of 16 = 1, 2, 4, 8, 16Factors of 17 = 1, 17Factors of 18 = 1, 2, 3, 6, 8, 16

To learn more about  factors, please check: https://brainly.com/question/26073850

PLEASE HELP.
WILL GIVE BRAINLIEST!!
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED !!!

Answers

Answer:

b; |-4|<|-5|

Step-by-step explanation:

Absolute value is the distance from zero, so the absolute value of -5 is greater than the the absolute value of -4.

You take a road trip up north with your family. You begin a hike in Death Valley, California at an elevation of 86 meters. You hike up another 35 meters, then down another 148 meters to the other side of the hill. What elevation are you at when you reach the other side of the hill?

Answers

Answer: - 27 meters

Step-by-step explanation:

1.     86 m   Start at 86 meters

2.  +35 m    Go up another 35 meters

3. -148 m   Go down 148 meters.

4.  - 27 meters  Net change in elevation

The net result is a negative 27 meters in elevation from the start of the hike.


If m<8= x°, which angles have a measure of 180º – xº? Select all that apply.
<3
<4
<6
<10

Answers

Answer:

  ∠6, ∠10

Step-by-step explanation:

Apparently, we are to assume that the avenues are parallel.

The angles that form a linear pair with ∠8 will be supplementary: ∠6 and ∠7. The angles that correspond to those will also be supplementary to angle 8: ∠10 and ∠11.

Among the answer choices ∠3, ∠4, ∠6, ∠10, only ∠6 and ∠10 are equal to 180° -x.

_____

Additional comment

It appears we are to assume that 1st Ave is parallel to 2nd Ave. If that is the case, then we might also assume that D Street is perpendicular to those avenues. In that case, all of angles 5, 6, 7, 9, 10, 11, 12 are equal to 180° -x, because x and all of those are all 90°.

The exchange rate at the Post Office is $1 = (1.17

How many euros will you get for E280?

Answers

Answer:

In £280, there will be €327.6.

Step-by-step explanation:

Since we have given that

£1 = €1.17

We need to find the value of  £280.

Using "Unitary method", we will multiply 1.17 by 280 and we get that

Hence, in £280, there will be €327.6.

# learn more:

The exchange rate at the post office is 1 pound = 1.17 euros

how many euros will you get for 280 pounds

Multiply 280 both sides

£ 280 = € 1.17 × 280

£ 280 = € 327.6

£ 1 = € 1.17

(Hope this helps can I pls have brainlist (crown)☺️)

What is the value of the function Y equals 2X plus 3 When x equals -1

Answers

Answer:

1

Step-by-step explanation:

Y=2x+3

Y=2×(-1)+3

Y=1

To get a free bonus gift, you must spend at least $100 in a

certain department store on Tuesday. On Tuesday, Mary made

purchases of $15, $26.50, and $40. What is the least amount she

needs to spend in order to be eligible for the bonus gift?

Answers

Spent amount= $81.50

Pending= $18.50

Help plzzz I am not good at this!!!

Answers

Answer:

-5 (5 red chips)10 (10 yellow chips)-8 (8 red chips)

Step-by-step explanation:

To complete the 1st model you have to put 5 red chips

To complete the 2nd model you have to put 10 yellow chips

To complete the 3rd model you have to put 8 red chips

But to understand why we are putting a certain number of yellow or red chips

we have to understand the zero pairs method meaning one positive and one negative zero out each other

using oliver's table, how can you find the unit rate

Answers

The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.

How to find the unit rate?

From the given table and graph, we see that;

Number of strides taken is on the x-axis.

Distance covered for each respective number of strides is on the y-axis.

Now, the rate will be;

Rate = Change in Distance covered/Change in number of strides

Thus;

Rate = (14 - 7)/(4 - 2)

Rate = 7/2

Rate = 3.5 ft per strides

Read more about Unit Rate at; https://brainly.com/question/19493296

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Answer:

Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.

Step-by-step explanation:

What is the standard form of this expression?
(1 + 71i)(3 - i)

Answers

the standard form of this expression is

(72+3)(-i)

IM GIVING OUT BRIANLIEST

Answers

Answer:

3.78

Step-by-step explanation:

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