Jazelle Momba wants to visit her family in Zimbabwe in 2025, which is 6 years from now. She knows that it will cost approximately $8,000 including flight costs, on-the-ground costs, and extra spending money to stay for 4 months. If she opens an account that compounds interest at 4% semiannually, how much does she need to deposit today to cover the total cost of her visit?

Answers

Answer 1

9514 1404 393

Answer:

  $6307.95

Step-by-step explanation:

The compound interest formula can help with that.

  A = P(1 +r/n)^(nt) . . . . value of principal P at rate r for t years, compounded n times per year.

  P = A(1 +r/n)^(-nt) = $8000(1 +0.04/2)^(-2·6) = $8000(1.02^-12) = $6307.95

Momba needs to deposit $6307.95 today to have $8000 in 6 years.


Related Questions

3 Ganesa wanted to write numerical examples for the
inequality a table. One of the conditions cannot be met. Complete
the table. Indicate which condition cannot be met.
Be sure that
you
understand each
condition in the
table.
Condition
Numerical Example fora<6
a<0 and b a<0 and b>0
a> and b<0
a> and b>0
Lesson 13 Absolute Value and Ordering Numbers
Curriculum Associates, LLC Copying is not permitted.
Authorized for use by school personnel only. This resource expires on 6/30/2022.

Answers

The condition which cannot be met for the numerical example a < b is the third condition a > 0 and b < 0.

What are Inequalities?

Inequalities are expressions which are written on both sides separated by inequality symbols like <, >, ≤ and ≥.

The given numerical example is a < b.

When a > 0 and b < 0,

possible values of a are 1, 2, 3, ............

possible values of b are -1, -2, -3, .............

There is never a chance to get the positive values of a < negative values of b.

Hence the condition which is not met is a > 0 and b < 0.

Learn more about Inequalities here :

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The complete question is :

Ganesa wanted to write numerical examples for the inequality a<b, with the conditions described In the table. One of the conditions cannot be met. Complete the table. Indicate which condition cannot be met.

Numerical Example for a < b

Conditions are :

a < 0 and b < 0

a < 0 and b > 0

a > 0 and b < 0

a > 0 and b > 0

Simplify fraction 17/51=

Answers

Answer:

17/51 simplified in lowest terms is 1/3

Step-by-step explanation:

Answer:

Exact from: 1/3

Decimal form: 0.3

So I Reduce the expression, if possible, by cancelling the common factors and simplify 17/51

Simplify: 3!
A) 3
B) 6
C) 1
D) 5

Answers

3! = 3 • 2 • 1 = 6

Therefore, the correct answer is B: 6

Please mark my answer as the Brainliest if you find this solution helpful :)

Shannon is three times my age. The sum of our ages is the same as six times my age two years ago. Let my age now be x. How old am I?

Answers

Answer:

6

Step-by-step explanation:

my age now = x

my age two years ago = x - 2

Shannon's age now = 3x

3x + x = 6(x - 2)

4x = 6x - 12

-2x = -12

x = 6

Answer: I am 6.

for the function below find the following:

f(x)=25x^2-36

a. the zeros x=?

b. the x & y intercepts
(x,y) = ( )
(x,y) = ( )

c. the y intercept of the graph
(x,y) = ( )

Answers

Answer:

a. (-1.2,0) (1.2,0)

b. (-1.2,0) (1.2,0)(0,-36)

c. (0,-36)

Unicorns love eating jelly beans! If a unicorn eats 410.7 ounces of jelly beans 6 times a day, how many ounces does it eat in one day?

Answers

Answer:

2464.2

Step-by-step explanation:

you multiply 410.7 by 6 to get this

The ounces of jellybean eaten in a day is required.

The amount of jellybean the unicorns eats in one day will be 2464.2 ounces.

The ounces of jellybean eaten at one time is 410.7 ounces

The number of times jellybean is eaten during one day is 6 times.

[tex]1\ \text{time}=410.7\ \text{ounces}[/tex]

So, for 6 times

[tex]6\ \text{times}=6\times 410.7=2464.2\ \text{ounces}[/tex]

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Hi everybody, does this dot on the plot I have look correct, please let me know.

Answers

Answer:

no because it's between 4.2 and 4.3, when it should be between 4.1 and 4.2

Step-by-step explanation:

(-14)x=+56??????????????????????

Answers

Take the (-14) on the left and divide it with the 56 on the right. That isolates the x, so x=-4

solve include real and non real solutions.
x^2-8=0

Answers

Answer:

[tex]x=+2\sqrt{2} and-2\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x^2-8=0[/tex]

[tex]x^2=8[/tex]

[tex]\sqrt{x^2} = \sqrt{8}[/tex]

[tex]x=2\sqrt{2}[/tex]

plus or minus

Describe the translation of the point to its image (-2,5) (3,1)

Answers

Answer:

it is a

Step-by-step explanation:

2-5

Plz help me well mark brainliest!

Answers

It’s -9 because when multiplied it’s about -9

Can someone please help me

Answers

Answer:

it is going to be B or C

Step-by-step explanation:

If I'm wrong I'm really sorry I'm along high school not college

simplify the expression 7(a+4b)-3c​

Answers

Answer:

7a+28b-3c

Step-by-step explanation:

you distribute the 7 to the numbers and variables in the parentheses

Given the diagram, complete the two-column proof and
solve for x.

Answers

Answer:

x=7

Step-by-step explanation:

11x+57=15x+29 [Alternate exterior angles]

57-29=15x-11x

28/4=x

7=x

Answer:

Nnnnnnnnnnnnnnn

7x =x

What is the slope of the line that is perpendicular to the line that passes through the points (-1,3) and (2,-4)?

Answers

Hey there! Remember that perpendicular lines are the negative reciprocal to the original slope. With that in mind, the best way to find the slope is by using equation m=y2-y1/x2-x1, so then if we plug this in we get:

-4-3/2-(-1)

As -4 is our y2, -3 is our y1, 2 is our x2, and -1 is our y1.

You should get -7/3, that’s the original slope. Since this is a perpendicular line we MUST FLIP it and CHANGE THE SIGN.

So our FINAL answer would be: 3/7

Hope that helps!!!

Which is the graph of the function y = 3x?

Answers

The graph would look like the picture above.

Rise 3, Run 1

Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Given the least-squares regression line, , what is the fuel efficiency for a speed of 60 mph?

3.65 mpg
33.90 mpg
36.52 mpg
38.55 mpg

Answers

The least-squares regression line equation gives the line that approximate the relationship between the variables in the fuel efficiency data

The fuel efficiency when the speed is 60 mph is approximately 38.55 mpg.

Reason:

The given least-squares regression line equation is presented as follows;

ln(Fuel Efficiency) = 1.437 + 0.541 × ln(speed)

Required:

The value of the fuel efficiency for a speed of 60 mph.

Solution:

The general form of the least-squares regression line equation is [tex]\hat y[/tex] = a + b·x

Where, in the current question, we have;

[tex]\hat y[/tex] = The predicted value = ln(Fuel Efficiency)

a = The y-intercept = 1.437

b = The slope = 0.541

x = The input value = ln(speed)

When the speed = 60 mph, we have;

ln(Fuel Efficiency) = 1.437 + 0.541 × ln(60) = 3.65204040816

Therefore;

[tex]Fuel \ Efficiency = e^{(1.437 + 0.541 \times ln(60))} \approx 38.55[/tex]

The fuel efficiency when the speed is 60 mph ≈ 38.55 miles per gallon

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Answer:

the person above me is correct.

Step-by-step explanation:


A pattern has 3 blue triangles to every 39 yellow triangles. What is the ratio of yellow
triangles to all triangles

Answers

Answer:

3:39

Step-by-step explanation:

have a good day

a number is divisible by 3 if the sum of all the digits is divisible by?

Answers

Answer:

3

Step-by-step explanation:

Use the formula below to find the 10th term in the geometric sequence.
an = (-2)(3)^n-1
A. -13,122
B. -39,366
C. -118,098
D. -354,294

Answers

Answer:

uhhhh I can't explain how but the answer is B. -39,366.

how do you solve this (first equation) x=2y-1 (second equation) x+y=40

Answers

Answer:

[tex]x = 26 \frac{1}{3} \\ [/tex]

[tex]y = 13 \frac{2}{3} \\ [/tex]

Step-by-step explanation:

x = 2y - 1

x - 2y = -1 ________(1)

x + y = 40________(2)

(2) - (1)

[tex]x + y - (x - 2y) = 40 - ( - 1) \\ x + y - x + 2y = 40 + 1 \\ 3y = 41 \\ y = \frac{41}{3} \\ y = 13 \frac{2}{3} \\ [/tex]

y = 13 2/3

[tex]x + y = 40 \\ x + 13 \frac{2}{3} = 40 \\ x = 40 - 13 \frac{2}{3} \\ x = 40 - \frac{41}{3} \\ x = \frac{3(40) - 41}{3} \\ x = \frac{120 - 41}{3} \\ x = \frac{79}{3} \\ x = 26 \frac{1}{3} \\ [/tex]

Find the value of 72% of 90 kg

Answers

Answer:

64.8 kg kilograms

Step-by-step explanation:

please mark brainiest

hope it works out for you

Answer:

the value of 72% of 90 kg:

72 * 90 / 100 = 64,8 kg

Enter the ratio as a fraction in lowest terms 14 minutes to 18 minutes

Answers

Answer:

Part A is 7/16 of the whole
Part B is 9/16 of the whole

Solution:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 14 + 18 = 32

Part A = 14 and Part B = 18 are numerators for each fraction.

The fractions are then:
14/32 and 18/32

Meaning:
Part A is 14/32 of the whole
Part B is 18/32 of the whole

Reducing the fractions, it is also true that:
Part A = 7/16 of the whole
Part B = 9/16 of the whole

Answer:

Step-by-step explanation:

14+18=32

14/32,18/32

7/16,9/16

I need to determine the perimeter of this rectangle 5cm x 9cm
P= cm
A=cm

Answers

Answer:

5+5+9+9 = 28 cm

Step-by-step explanation:

to determine perimeter add the length of each side (2 sides = 5cm and two sides = 9cm.)

i need step by step explanition if you can. paper depot is delivering 952 cases of paper today.300 of the cases are plain white paper twenty-eight trucks are being loaded with an equal number of cases of paper. how many cases will each truck carry

Answers

Answer:

34

Step-by-step explanation:

We actually don't care what amount of paper is white, we just need the amount per truck. If there were 2 trucks, they would each take half of the total amount of paper. If there were 3 trucks, they would each take a third of the total amount of paper. And so on for 4,5,6,etc.

For 28 trucks, they would each take a twenty-eighth of the total amount of paper. So, the amount each truck takes is just [tex]952/28=34[/tex].

So, the answer is [tex]\boxed{34}[/tex] and we're done!

Factorise x2 (squared) - 6x - 27

What’s the answer?

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let's factorise :

[tex] {x}^{2} - 6x - 27[/tex]

[tex]x {}^{2} - 9x + 3x - 27[/tex]

[tex]x(x - 9) + 3(x - 9)[/tex]

[tex](x - 9)(x + 3)[/tex]

Done !

A submarine dives 51 3/5 meters below the surface of the water in 4 minutes. how many meters does the submarine dive each minute? NO LINKS!
A: 12 9/10
B: 12 3/4
C: 206 2/5
D: 47 3/5

Answers

Answer:

a

Step-by-step explanation:

51 3/5 = 258/5

258/5 / 4 = 12.9 (meters the submarine dives each min)

now we have to find out what 12.9 is as a fraction!

12.9= 12 9/10 because .9 is equal to 9/10, and 12. equals 12!

Suppose that 18 inches of wire costs 72 cents. At the same rate, how many inches of wire can be bought for 48 cents?

Answers

Answer:12 inches

Step-by-step explanation:

Dan removed 16 fish from his pond over a period of 2 days . He romoved the same number of fish each day .What was the change inn the number of fish in the pond each day?

Answers

Answer:

8

Step-by-step explanation:

8 ?

2x8 =16

16/2=8
The change would be 8 fish take out of the pond each day

IGNORE THE BOTTOM ONE PLEASE HELP

Answers

Answer:

see explanation

Step-by-step explanation:

∠ A and ∠ FCE are corresponding angles and are congruent , then

∠ A = 150°

∠ FCE and ∠ C are vertically opposite angles and are congruent , then

∠ C = 150°

∠ FCE and ∠ ECB are adjacent angles on a straight line and sum to 180°

∠ ECB = 180° - ∠FCE = 180° - 150° = 30°

∠ E = 180° - (30 + 45)° ← sum of angles in a triangle

∠ E = 180° - 75° = 105°

∠ CBE and ∠ D are same- side interior angles and sum to 180° , then

∠ D = 180° - 45° = 135°

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