jill needs $50 000 for a round-the-world holiday in 3 years time. How much does Jill need to invest at 7% pa compounded yearly to achieve this goal?
Answers
Jill needs to invest approximately $40,816.33 at a 7% annual interest rate compounded yearly to achieve her goal of $50,000 for a round-the-world holiday in 3 years.
To solve this problemWe can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where
A is equal to the $50,000 future value that Jill hopes to acquire.P is the principle sum, which represents Jill's necessary initial investment.(7% or 0.07) is the annual interest rate.n is equal to how many times the interest is compounded annually (in this case, once).T equals the duration in years (3)We can rearrange the formula to solve for P:
P = A / (1 + r/n)^(nt)
Now we can substitute the given values into the formula and calculate:
P = 50000 / (1 + 0.07/1)^(1*3)
P = 50000 / (1 + 0.07)^3
P = 50000 / (1.07)^3
P = 50000 / 1.2250431
P ≈ $40,816.33
Therefore, Jill needs to invest approximately $40,816.33 at a 7% annual interest rate compounded yearly to achieve her goal of $50,000 for a round-the-world holiday in 3 years.
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Related Questions
Solve the equation. Chec)
5m - l = 4m + 5
Answers
Answer:
m=6
Step-by-step explanation:
5m-4mv5+1
M=5+1
M=6
Brainliest?
Do any one of them, please help needed
Answers
Answer:
a = -3
Step-by-step explanation:
f(x) = 5x³+4x²+3x-4a
f(-1) = 8
therefore , x = -1
substituting x = -1 in 5x³ + 4x² +3x-4a
5(-1)³ + 4(-1)² + 3(-1) - 4a. = 8
-5 + 4 -3 - 4a = 8
-8 + 4 -4a = 8
-4 - 4a = 8
shifting -4 from LHS to RHS
-4a = 8+4
-4a = 12
\( - a = \frac{12}{4} \)
therefore
-a = 3
a = -3
ANS = the value of a = -3
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of the 1800 students enrolled in school 55% are girls of the girls attending the school 30% take the bus to school of the boys attending the school 70% take the bus to school how many boys take the bus to school
Answers
If 55% of the students are girls, 45% of the students are boys
\(1800\cdot0.45=810\)It means there are 810 boys. From this number, 70% take the bus to school
\(810\cdot0.70=567\)It means 567 boys take the bus to school.
what is -5 x -1/5 showing work
Answers
Answer: 1
Step-by-step explanation:
Answer: 1 is the answer
Step-by-step explanation:
-5 * -1/5
-5/-5
5/5
1
Which graphs are proportional?
Answers
Answer:
Its C because it passes through the origin. I learned about this.
Explanation: A proportional graph has a straight line that comes straight out of the origin (0) this is why D. cant be correct. A. Is not a straight line same with D.
Okay so out of these estimated solutions which ones correct? PLEASE THIS IS MY FINAL HELP! 50 POINTS! THE IMAGE IS BELOW THIS!
Answers
Answer:
The answer is D!!!
Step-by-step explanation:
x=-7/5,=8/5 or (x=-1 2/5,y= 1 3/5) D one -7/5 = 1 2/5. 8/5 = 1 3/5
D IS THE CORRECT ANSWER
Figures with the same shape & size are
Answers
Answer:
figures with the same shape and size are congruent.
Phillip enjoys rock climbing on the weekends.
At some of the less challenging locations he
can climb upwards of 12 feet per minute,
What is the independent variable and what is
the dependent variable
Answers
Answer:
Independent: Time (minutes)
Dependent: height (feet)
Step-by-step explanation:
Rob goes to a store and buys a camera originally priced at $30. The store is running a discount of 18%. The sales tax rate is 7.4%. What is the final price of the camera?
pls help asap
Answers
Answer:
$26.42
Step-by-step explanation:
P = 30 * 0.82 * 1.074 = 26.42
A car that costs $14000 without tax costs 14700 with tax. What is the sales tax percent
Answers
Answer
5%
Explanation
The answer is 5% increase because you have to subtract 14700 and 14000 which gets you 700 and then you divide 700 by 14000 (the original price) which gets you 0.05 and then you multiply that by 100 which then gets you 5%
38. By the commutative property, 3(w +9) is
equivalent to which expression?
A. 3w + 9
B. 3w + 27
C.
D. 3(9+ w)
Answers
Answer:
B
Step-by-step explanation:
3 ( w + 9 )
3 × w + 3 × 9
3w + 27
Hope this helps
plz mark as brainliest!!!!!!!
Also I don’t see an answer for c.
Watch help video
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
Answer:
5.3
Step-by-step explanation:
Using the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\) with the length of the two legs of the right triangle for a and b and the hypotenuse length for c, you can solve this equation.
First, lets call the unknown side x. Plugging in all of the value we have into the equation we get \(x^{2} +6^{2}=8^{2}\). This is the same as \(x^{2} +36=64\).
The next step is to solve for x. Subtract 36 from both sides of the equation to get \(x^{2} =28\). Then, take the square root of both sides to get \(x=\sqrt{28}\).
Finally, since you need a rational answer, put \(\sqrt{28}\) into a calculator and round to the nearest tenth for 5.3
From the following categories of variables, which of them are mutually exclusive and exhaustive?
a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday
b. Days: Weekday and Weekend
c. Letters: Vowels and Consonants
d. Letters: Alphabets and Consonants
Answers
The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.
Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.
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i need help!!!!!!!!!!!!!!
Answers
50 points!what is the effect of adding or subtracting a constant outside the radical sign?
Answers
Answer:
When adding or subtracting a constant outside the radical sign, it only affects the overall value of the expression, but not the square root itself. The square root symbol only applies to the value inside it, so any constant added or subtracted outside will not change the result of the square root. For example:
√(9 + 4) = √9 + √4 = 3 + 2 = 5
√(9) + 4 = 3 + 4 = 7
As you can see, adding or subtracting a constant outside the radical sign only changes the final result of the expression, but not the value inside the square root.
Hope it helps!Answer:
the effect is when graphing the constant determines how far up or down to move it, compared to the original parent function.
Step-by-step explanation:
What’s the area of the sector if possible please answer asap
Answers
Answer:
2.355 yd
Step-by-step explanation:
use the formula of the area of the sector to find the answer
If a man earns a salary of $16,008 a year and is paid semimonthly, how much is his semimonthly paycheck before taxes?
The man earns $______ semimonthly before taxes. (Round to the nearest cent as needed.)
Answers
The man's semimonthly paycheck before taxes is $667.33.
To calculate the semimonthly paycheck before taxes, we need to divide the annual salary by the number of pay periods in a year. In this case, the man earns $16,008 per year and is paid semimonthly.
There are usually 24 semimonthly pay periods in a year (twice a month for 12 months). To find the semimonthly paycheck, we divide the annual salary by 24:
$16,008 / 24 = $667.33 (rounded to the nearest cent)
Therefore, the man's semimonthly paycheck before taxes is $667.33.
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Charlette reads 8 1/3 pages of a book in 10 minutes. What is her average reading rate in pages per minute?
Answers
Answer:
Step-by-step explanation:
8 1/3 pages/10 minutes = 25/3 pages / 10 minutes = 25/30 pages/minute = 5/6 page/minute
A motorcycle traveling at 70 miles per hour overtake le a car traveling at 30 miles per hour that had a three-hour head start. How far from the starting point are the two vehicles
Answers
Answer: the vehicles are 90 miles in the race
In January 2020, Pelican, Inc., established an allowance for uncollectible accounts (bad debt reserve) of $70,000 on its books and increased the allowance by $120,000 during the year. As a result of a client's bankruptcy, Pelican, Inc., expensed the allowance by $60,000 in November 2020. Pelican, Inc., deducted the $190,000 of increases to the allowance on its 2020 income statement but was not allowed to deduct that amount on its tax return. On its 2020 tax return, the corporation was allowed to deduct the $60,000 actual loss sustained because of its client's bankruptcy. On its financial statements, Pelican, Inc., treated the $190,000 increase in the bad debt reserve as an expense that gave rise to a temporary difference. On its 2020 tax return, Pelican, Inc., took a $60,000 deduction for bad debt expense. How is this information reported on Schedule M–3? Click here to access Form 1120, Schedule M-3.
These amounts are reported on Schedule M–3, line 32, Part III as follows:
the $190,000 book bad debt expense is reported in column (a), the $ ______ temporary difference is reported in column (b), and the $ ______ tax return bad debt expense is reported in column (d). there are 5 blanks for this question i have them listed in bold. I have solved 3 of the 5 blanks, the answers i need are the ones where it says (_______) both $______ amounts
Answers
The $190,000 book bad debt expense is reported in column (a), the $70,000 temporary difference is reported in column (b), and the $60,000 tax return bad debt expense is reported in column (d)
In Schedule M-3, line 32, Part III, the reporting of the information is as follows:
The $190,000 book bad debt expense, which represents the increase in the bad debt reserve on the financial statements, is reported in column (a). This amount reflects the expense recognized by Pelican, Inc. for the potential uncollectible accounts during the year.
The $70,000 temporary difference is reported in column (b). This amount represents the difference between the book bad debt expense (which includes the $190,000 increase) and the tax return bad debt expense (which only includes the $60,000 actual loss from the client's bankruptcy). This temporary difference arises because the tax return does not allow deduction for the $190,000 increase in the bad debt reserve.
The $60,000 tax return bad debt expense, which represents the actual loss sustained due to the client's bankruptcy and is deductible on the tax return, is reported in column (d). This amount reflects the deduction that Pelican, Inc. is allowed to take for the actual bad debt loss.
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PLEASE HELP ME!
Which algebraic rule describes the transformation of
parallelogram GHJK to G'H'J'K'?
ry-axis
rx-axis
R0,90°
R0,270°
Answers
Answer:
it right
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Cecilia and 3 friends equally share a restaurant bill. If the bill is $51, how much will each person pay? What is true about this word problem? Select all that apply.
b = $17
b = $12.75
3 b = $51
4 b = $51
Answers
Answer:
17. b
Step-by-step explanation:
u answers this by dividing 3 and 51
This is bec cecelia + 3 = 4 frnds
We don’t kno how much each person will pay
So
4b = $51
b = $12.75
What is h(p)=(p3+4p2-2) in distributive property
Answers
h
p
=
p
3
+
4
p
2
−
2
Step 1: Divide both sides by p.
h
p
p
=
p
3
+
4
p
2
−
2
p
h
=
p
3
+
4
p
2
−
2
p
Answer:
h
=
p
3
+
4
p
2
−
2
p
Which is greater, 4 miles or 7,000 yards ? How much greater? Explain.
Answers
Answer:
4 miles is greater.
Step-by-step explanation:
When we convert 4 miles to yards, we get 7,040. Therefore, when we look at the amount, we can see that 7,040 is greater than 7,000.
HELP!
Which graph is generated by this table of values?
it's either A or D! But please help
Answers
Answer:
A!!!!!!!!!!
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
During the summer holidays sarah earns pocket money by mowing lawn. She can mow 6 lawns in 1 1/2 and clean the pool in one-sixth of an hour
Answers
Answer:
It will take Sarah 2 1/2 hours to mow 10 lawns
It will take Sarah 1 2/3 hours to clean 10 pools
Step-by-step explanation:
During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?
Number of lawns : Time to mow lawns = 6 : 1 1/2
= 6 : 3/2
Number of lawns : Time to mow lawns = 10 : x
6 : 3/2 = 10 : x
6 ÷ 3/2 = 10/x
6 * 2/3 = 10/x
12/3 = 10/x
Cross product
12 * x = 3 * 10
12x = 30
x = 30/12
x = 2 6/12
x = 2 1/2 hours
It will take Sarah 2 1/2 hours to mow 10 lawns
Number of pools cleaned : time taken = 1 : 1/6
Number of pools cleaned : time taken = 10 : x
1 : 1/6 = 10 : x
1 ÷ 1/6 = 10/x
1 * 6/1 = 10/x
6 = 10/x
Cross product
6 * x = 10
6x = 10
x = 10/6
x = 1 4/6
x = 1 2/3 hours
It will take Sarah 1 2/3 hours to clean 10 pools
Discuss four applications of the capital asset pricing model (CAPM). (8 marks) Dzikunze Manufacturing Limited is considering to raise an extra Sh.10 million in order to finance an expansion programme. The company's current capital structure is given as follows: Additional information: 1. The company is considering raising the funds using two alternative financing options namely: Option t: To raise all the funds through the issue of new ordinary shares at par. Option II: To raise half of the funds through the issue of new ordinary shares at par and the balance through the issue of new 12% debentures at par. 2. The corporation tax rate is 30 s. Required: (i) Earnings belore interest and tax (FB|T) at the point of indifference in company's earnings for each financing option. (8 marks).
Answers
Capital asset pricing model (CAPM) Applications of Capital Asset Pricing Model (CAPM) are as follows;The most important application of CAPM is in the calculation of the cost of equity.
CAPM is used by financial analysts and investors to determine the appropriate rate of return for individual stocks and portfolios. CAPM is also useful in determining the required rate of return for capital projects. By calculating the cost of equity capital, companies can make better investment decisions by determining which projects will yield the greatest return on investment.
CAPM can be used in the valuation of assets, such as stocks, real estate, and other investments. Finally, CAPM is useful in evaluating risk.
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Which unit of measurements best estimate the of a juice box ( millimeters or centimeters or liters or meters) ? 
Answers
This is the answer
The area of a rectangular field is 7626m2. If the length of the field is 93m, what is its width?
Answers
Answer:
The width is \(82m\)
Step-by-step explanation:
------------------------------>>>>
The formula to find the area of a rectangle is \(A=lw\)
We already know the area of the rectangular field which is \(7626m\)
We already know the length is \(93m\)
--------------->>>>
Now let's substitute \(7626\) for \(A\) because that's the area and substitute \(93\) for \(l\) because that's the length. After that, let's solve to find the width.
\(7626=93w\)
Divide both sides by 93 because that's the opposite of multiplication.
\(82=w\)
--------------->>>>
This means that the width of the rectangular field is \(82m\)
Hope this is helpful
answer these 3 questoins
Answers
Answer:
b) m = 1/2
c) m = 3
d) m = 1/3
Step-by-step explanation:
b) rise = 1, run = 2; m = rise/run, so m = 1/2
c) rise = 3, run = 1; m = rise/run, so m = 3
d) rise = 1, run = 3; m = rise/run, so m = 1/3