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

A bag of mints has a mass of 50 grams.

How many ounces is that? (1 g = 0.035 oz)

Answers

The avoirdupois ounce (exactly 28.349523125 g) is 1/16 avoirdupois pound; given; A bag of mints has a mass of 50 grams.

By conversion of weight we know that  ;-  [ 1gram = 0.035 oz]

So, 50 gram will be having = [50 x 0.035] ounce

Which is giving our answer to be 1.763 0unce

The avoirdupois system is a weight measurement system that counts weights in pounds and ounces. It was revised in 1959 after coming into usage on a widespread basis in the 13th century AD. By mutual consent, the definitions of the pound and ounce in nations that use the pound as a unit of mass were standardized in 1959.

A system of weights that is generally used in the United States, with the exception of precious metals, stones, and pharmaceuticals, and is based on a pound weighing 16 ounces and an ounce weighing 437.5 grains (28.350 grams).

To know more about  avoirdupois system please visit ;

https://brainly.com/question/10433943

#SPJ1

Five friends shared 1 1/2 pounds of fudge equally. How much did each friend get?

Answers

Answer:

each friend gets 0.1 fudge

Step-by-step explanation:

Mrs. James selected 4 3/4
pounds of grapes. The grapes
cost $2.50 per pound. How
much will Mrs. James pay for
the grapes?
A) $7.25
B) $11.88
C) $10.75
D) $16.50

PLEASE HELP

Answers

Answer:

B. $11.88

Step-by-step explanation:

4 · 2.50 = $10

3/4 · 2.50/1 = about $1.88

10 + 1.88 = $11.88

ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

ofc strawberry costs more than apples

Answer:

the answer should be a

have a good day

Find the surface area of the prism.

Answers

Answer:

326m²

Step-by-step explanation:

Find the area of each side and find the total sum from each individual area:

2(15*4)+2(7*4)+2(7*15)=2(60)+2(28)+2(105)=2(163)=326

So the surface area of the prism is 326m²

Please help very urgent

Answers

Answer:

32, 16, 8, 4, 2, 1

Explanation:

The geometric mean can be represented by [tex] \sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}} [/tex].

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

[tex] a_{n} = a_{1} • r^{n-1} [/tex]

Where [tex] a_{n} [/tex] is the nth term, [tex] a_{1} [/tex] is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, [tex] a_{1} [/tex] will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

[tex] \sqrt[5]{\frac{a_{6}}{a_{1}}} [/tex] =

[tex] \sqrt[5]{\frac{1}{32}} [/tex] =

[tex] \frac{1}{2} [/tex].

Therefore: [tex] r = \frac{1}{2} [/tex].

Using all the information we have, we can find the explicit rule:

[tex] a_{n} = a_{1} • r^{n-1} [/tex]

[tex] a_{1} [/tex] = 32[tex] r = \frac{1}{2} [/tex]

[tex] a_{n} = a_{1} • r^{n-1} [/tex] →

[tex] \boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}[/tex]

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

[tex] a_{1} = 32 • (\frac{1}{2})^{1-1} [/tex]

[tex] a_{1} = 32 • (\frac{1}{2})^{0} [/tex]

[tex] a_{1} = 32 • 1[/tex]

[tex] a_{1} = 32 [/tex]

[tex] a_{6} = 32 • (\frac{1}{2})^{6-1} [/tex]

[tex] a_{6} = 32 • (\frac{1}{2})^{5} [/tex]

[tex] a_{6} = 32 • \frac{1}{32} [/tex]

[tex] a_{6} = 1 [/tex]

-5x = 35 what is x? ​

Answers

Answer:

x= -7

Step-by-step explanation:

Answer: x=−7

Step-by-step explanation: Hope this help :D

Ron wants to save $5,000 in 5 years. Can he do this by having $100 deposited into a payroll savings plan each month? Explain. use a calculator if you like.

Answers

Answer:

Yes.

Step-by-step explanation:

Yes because 100 times the 12 months in a year equals $1,200 and $1,200 times 5 is $6,000 and $6,000 is greater than $5,000, so yes.

What does c equal in the picture?

Answers

Answer:8

Step-by-step explanation:

4/5y - 8 = 2/5y + 16

Answers

Answer:

y=60

Step-by-step explanation:

trust

y = 60

Step-by-step explanation:

Step 1: Group all the x terms on the left side of the equation

Subtract y from both sides:

4/5y - 8 = 2/5y + 16

4/5y - 8 - 2/5y = 2/5y + 16 - 2/5y

2/5y - 8 = 2/5y + 16 - 2/5y

2/5y - 8 = 16

Step 2: Group all constants on the right side of the equation

Add 8 to both sides of the equation:

2/5y - 8 = 16

2/5y - 8 + 8 = 16 + 8

2/5y = 16 + 8

2/5y = 24

Step 3: Isolate the x

Multiply both sides by inverse fraction 52

2/5y = 24 5/2

2/5y 5/2 = 24

y = 24 5/2

y = 60

whats the solution to -12x ≤ -72

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] - 12x \leqslant - 72 \\ x \geqslant \frac{ - 72}{ - 12} \\ x \geqslant 6[/tex]

The direction changes when we divide by nagative value

I hope that is useful for you :)

3.5.2 Test (CSI) Question 6 of 12 Use the area of the rectangle to find the area of the triangle. 5 ft 10 ft O A. The area of the triangle is 25 square feet, because the area of the rectangle is 50 square feet O B. The area of the triangle is 25 square feet, because the area of the rectangle is 25 square feet C. The area of the triangle is 50 square feet, because the area of the rectangle is 50 square feet. D. The area of the triangle is 50 square feet, because the area of the rectangle is 100 square feet. SUBMIT PREVIOUS e 99+ Type here to search​

Answers

Answer:

c

Step-by-step explanation:

12) A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a
party, how many boxes of crackers should he buy?

Answers

Answer: about 3 boxes would be 3.50 lbs so idrk

Step-by-step explanation:

Let ​g(x)=4x +9 and ​h(x)=x+2. Find the expression.
​(h◦​g)(x)

Answers

So you plug in g(x) for x in h(x)
Since g(x) = 4x + 9, substitution that in
4x + 9 + 2
4x + 11

Solution: 4x + 11
You also can use a app called “Socratic”

PLEASE HELP FASTTT NO LINKS!!
what is the length of this paint brush in centimeters

picture shows a paint brush that is 101 mm long

Answers

Answer:

10.1 centimeters

Step-by-step explanation:

divide the length by 10

101 ÷ 10 = 10.1

Help me please!!!!! I need help with angles

Answers

Answer:

<CFE = 28

<RPQ = 53

Step-by-step explanation:

1)

<CFE + 152 = 180

<CFE = 180 - 152

<CFE = 28

2)

Complementary means the angles add up to 90 so:

<RPQ + 37 = 90

<RPQ = 90 - 37

<RPQ = 53

Round two decimal places

729015430.40641995​

Answers

Answer:

729015430.40641995​ = 729015430.41

Step-by-step explanation:

Since the 3 decimal place is 6, you round up. If you round up for 0 you get 1. Therefore your answer is 729015430.41.

An Oil Rig is 30 meters tall. Mr. Clanton is standing 12 meters from the base of the Rig. At what angle of elevation does he need to look to see the eagle on top of the Rig ? What is the distance from Mr. Clanton to the Eagle ?

Answers

Answer:

Angle of elevation: 68.2°, distance from Mr. clanton to the eagle: 32.3m.

Step-by-step explanation:

I can't draw the diagram , but will try to explain:

the diagram is a right angled triangle, with the opposite as the rig, the adjacent as the distance between mr. clinton and the base of the rig, and the hypotenuse as x.

∅ is the angle of elevation from clinton to the eagle.

Using SOH CAH TOA,

Tan∅ =30÷12

tan∅ =2.5.

∅ =tan^-1( tan raised to power -1 )

∅ =tan^-1(2.5)

∅ = 68.19859051≅68.2 to 3s.f.

To get the distance between mr. clinton and the eagle:

Using SOH CAH TOA;

Cos68.2 =12/x   cross multiplying....

x*cos68.2 =12

∴ x = 12 ÷ cos 68.2

= 12 ÷ 0.3713678356

= 32.31297611≅32.3 to 3s.f.

Hope this helps.....

Please help me pls ASAP thank YOUU

Answers

Answer:

I think D

Step-by-step explanation:

Sorry if it's wrong, but it's the only one I think makes sense. Brainlist me if u get it right! :)

pls tell the answer pls

Answers

Answer:

The correct answer is C

Step-by-step explanation:

It’s C I’m pretty sure

Stephanie spent 20​% of x hours at her​ part-time job. What is x if 20​% of x is about 10 hours?

Answers

about 50 hours!

because 20 x 5 equals 100, so 5 x 10 equals 50! good luck! :)

1. The total area of all the faces of a three-dimensional figure is called the?

Pls Answer Fast PLS PLS PLS​

Answers

Surface area? Maybe I’m not sure tho

What’s the area of the figure?

Answers

The area should be 36.

The formula for area is base times height [A=b(h)]

a stick is 25 feet long and is cut into 2 parts. The longer part id one foot more than twice the shorter part. How long is each part?

Answers

Answer:

8 feet and 17 feet

Step-by-step explanation:

We can make out two equations.

Assume L stands for big length and W stands for small length.

The two equations are:

2w+1=L

L+W=25

We figure L=17 and W=8 which is the answer.

By the way, can you follow me on Brainly?

Thanks!

What is the volume of a sphere with a diameter of 15 cm?

Answers

Answer:

V≈1767.15cm³

Step-by-step explanation:

Using the formulas

V=43πr3

d=2r

solving for v

V=16πd3=16·π·153≈1767.14587cm³

hope i helped plz mark me brainlest

1. What is greater? 6 pounds and 11 ounces OR 117 ounces? 2. 3/4 tons = how many pounds? (Answer the ones u know!) pls help due in 4 mins

Answers

Answer:

1. Equal. 2. 1500

Step-by-step explanation:

6 x 16 = 96 + 11= 117

3/4 x 2000 = 1500

There are 30 red marbles, 16 blue marbles, and 14 green marbles in a jar.
What is the probability of picking out a red marble without looking?
30%
50%
23%
0 27%

Answers

Answer:

B or 50%

Step-by-step explanation:

First, you add all of them together

30 + 16 + 14 = 60

Then you do the part/whole

30/60 = 1/2

1/2 = 50%

7a +5+2b
Select all of the true statements below.
- 2b and 5 are like terms.
- 5 is a constant.
- 2 is a coefficient.
- 7a+5+2b is written as a product of three factors.
- 7a +5+2b is written as a sum of three terms.
- None of these are true.

Answers

Answer:

5 is a constant

2 is a coefficient

7a + 5 + 2b is written as a sum of three terms

What is the image point of (-9,-2) after the transformation T-2,-5

Answers

Answer:

(-11, -7)

Step-by-step explanation:

The original point is (-9,-2)

The transformation you have to do is (x-2 , y-5)

This makes it so that you move the original point 2 units to the left (as a negative sign in the x value is towards the left side where the negative units are) and 5 units downwards (as a negative sign in the y value is on the negative side of the y-axis which is down)

So, your final answer would be (-9-2,-2-5) which is (-11,-7)

Work the following pricing problems for services rendered. (For all calculations use hundredths.)

Labor time = 8 hours

Overhead rate = 65%

Retail price of parts = $98.70

Total cost of job = $242.58

What is hourly rate for labor?

A. 27.67
B. 13.32
C. 10.90
D. 117.08

Answers

Answer:

No entiendo ingles perdon

The answer is letter C
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