Suppose that you have $5,000 to invest. Which investment yields the greater return over a 10 year period: 7.74% compounded daily or 7.8% compounded quarterly? Find the total amount of the investment after 10 years if $5,000 is invested at 7.74% compounded daily. $ (Round to the nearest cent as needed.)
Answer:
We should invest in 7.74% compounded daily as it yields a higher return.
The total investment after 10 years is $10,841.22.
Step-by-step explanation:
a.) at 7.74% compounded daily
[tex]final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235[/tex]
I assumed there are 365 days in a year.
b.) at 7.8% compounded quarterly
[tex]final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505[/tex]
Solve 45x - 56 > 9x + 25 where x is a real number
Answer:
x = >9/7
Step-by-step explanation:
(x + yi) + (4 + 9i) = 9 - 4i
Answer:
x
=
5
−
y
i
−
13
i
Step-by-step explanation:
- Charles used 1 cups of walnuts and
2 cups of cranberries to make
breakfast bread. How many cups of
walnuts and cranberries did he use
in all
Answer:
3 cups in all
Step-by-step explanation:
1+2+=3
Solve for distributive property
-10( x + 9 )
Answer: -10x - 90
Step-by-step explanation:
Answer:
the third one
Step-by-step explanation:
-10( x + 9 )
-10x - 90
Problem 4: As a salesman you are paid $250 per week plus $70 per sale. This week you want you
pay to be at least $1,200. How many sales must you make to reach your goal?
Answer
12
13
14
15
16
Answer:
14 sales
Step-by-step explanation:
1,200-250=950
70×14=970
We first need to subtract our normal pay out of the expectation.
1200-250=950 dollars
These 950 dollars have to be made from sales, and if each sale gives you 70 dollars, we just need to do simple division.
950/70=about 13.57
This meant that if we get 13 sales, we are not quite there at the goal yet, so we need to round up. Getting 14 as our answer.
Determine the equation of the line with slope 3 that passes through the point M (1,2) 1) 3x + y = 1 2) 3x - y = -1 3) 3x - y = 1 4) x- 3y = -1
Answer:
3) 3x - y = 1
Step-by-step explanation:
m=3
(y-2) / (x-1) = 3
y-2 = 3(x-1)
y = 3x - 1
Directions:
1. Determine which type of angles are shown.
2. Then find the measure of the missing angles.
Help! my teacher gave me this exit ticket but I don't quite understand.
Answer:
4
-4
5
8
Step-by-step explanation:
you just divied like normal but if you have two negitives you will end out with the positve of the number
Help as soon as possible, please.
Answer:
8 unitsStep-by-step explanation:
Let the center of the circle be point O.
Then
EC + EO = 13EC = 13 - EOThe length of EO is the side of triangle OEB.
Use Pythagorean theorem:
EO² + EB² = OB²EO² + 12² = 13²EO² = 169 - 144EO² = 25EO = √25EO = 5Find the value of EC:
EC = 13 - 5 = 8For x=4 simplify 2x+(6-3)2
I need help
Answer:
Step-by-step explanation:
An airplane is flying at a height of 200m. Its angle of elevation to an observer on the ground is 230. Calculate the distance of the airplane from the observer.
Answer:
Distance between the plane and the observer is 511.86 miles.
Step-by-step explanation:
From the figure attached,
A plane is flying at point A which is at 200 m height and observer is at point C.
Angle of elevation (∠ACB) of the plane from the observer is 23°.
Let the distance between the observer and the plane is x meters.
By applying sine ratio for angle C,
sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(23°) = [tex]\frac{200}{x}[/tex]
x = [tex]\frac{200}{\text{sin}(23)}[/tex]
x = 511.86 miles
Therefore, distance between the plane and the observer is 511.86 miles.
9 hundred = how many 10's
Answer:
90
Step-by-step explanation:
900 is 90 tens
Check
900/10 = 90
or....
90 * 10 = 900
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Write the equations of the line that passes through the point (4,3) and is parallel to the line y=2x−4 . Write the equation in slope-intercept form
Answer:
y=2x+5
Step-by-step explanation:
I used 2 as the slope bc we were given an equation above: y=2x-4. Since parallel lines have same slopes and different y-intercepts, hence, I easily got 2 as the slope.
convert the metric measurements into inches,correct to the nearest inch . 4,2 m
Answer:
165 inches
Step-by-step explanation:
multiply the length value by 39.37
Suppose you invest $10,000 in a mutual fund that earns 6% annual interest. What is the value of your investment 30 years later? Show both the value and evidence of the thinking you used to calculate the value of the investment.
Answer:
$57400
Step-by-step explanation:
Given data
P= $10,000
R= 6%
T= 30 years
Let us Assume the investment is compounded Anually
A= P(1+r)^t
A=10000(1+0.06)^30
A=10000(1.06)^30
A=10000*5.74
A=$57400
Hence the Final Amount after 30 years compounded anually is $57400
A gym membership is offered in January for 14.99 per month. If you pay upfront for the year, you are given a 15% discount on the monthly fee. How much money will you save after a year by paying upfront rather than monthly
Answer:
$27 approx
Step-by-step explanation:
Given data
Membership fee= 14.99 per month
for a year the fee is 14.99*12= 179.88
discount = 15%
=15/100*179.88
=0.15*179.88
=26.982
Hence for a year, you will save $27 approx
Simplify: 4 x 3^2 - 3+ 5x2 = 0 OA. 33 OB. 43 O c. 36 O D. 58 O E 34
4 x 3^2 - 3+ 5x2
4 x 9 - 3 + 10 = 0
36 - 3 + 10
33 + 10
43
Answer : 43
Name the property of addition modeled here. If a = b, then a + c = b + c. A. Addition Property of Equality B. Commutative Property of Addition C. Associative Property of Addition D. None of the above I think it is either B or C
Answer: I'm pretty sure it's B
Step-by-step explanation:
Answer:
Do you still need an answer? If so, B!
Step-by-step explanation:
Just by looking at the equation you can see the addition symbols. Since there are also letters, you can use that information to help you solve the answer using the key word: Commutative.
For Example: If Lily needs $40 and she already has $30 how many more dollars does she need?
Answer: m-$30=$40 m=$10
Fabian harvest 10 pounds of tomatoes from his garden he needs two and 2/5 lb to make a batch of soup if he sets aside 2 and 8/10 lb of tomatoes to make spaghetti sauce how many batches of soup can Fabian make.
Emir flew home from vacation with a heavy bag. With the first airline he flew, Emir had to pay $20 to check his bag, plus $10 for every pound that his bag was over the weight limit. The next flight was with another airline that had the same weight limit. Emir had to pay $5 per pound that his bag was over the weight limit, in addition to the checked bag fee of $30. By coincidence, the fees ended up being the same with both airlines. How large was each airline's fee?
Answer:
$27.5
Step-by-step explanation:
Let
x = pound over weight limit
Airline 1 = 20 + 10x
Airline 2 = 5 + 30x
Equate the fees
20 + 10x = 5 + 30x
20 - 5 = 30x - 10x
15 = 20x
x = 15/20
x = 0.75 pounds
How large was each airline's fee?
Airline 1 = 20 + 10x
= 20 + 10(0.75)
= 20 + 7.5
= $27.5
Airline 2 = 5 + 30x
= 5 + 30(0.75)
= 5 + 22.5
= $27.5
Can whoever answers this answer one of the questions on my account I have like 20 minutes to answer them.
Answer:
What-
Step-by-step explanation:
Answer: What?
Step-by-step explanation:
A checkbook balance sheet shows an initial balance for the month of $300. During the month, checks were written in the amounts of $25, $82, $213, and $97. Deposits were made into the account in the amounts of $84 and $116. What was the balance at the end of the month?
Answer:
your answer is 200 if you add 84 and 116 but is you add 25 82 213 and 97 it will be 417
Step-by-step explanation:
The balance at the end of the month is $83.
Checkbook balance = $300
Amount withdrawn = $25 + 82 + $213 + $97 = $417
Amount deposited = $84 + $116 = $200
Therefore, the balance at the month end will be:
= $300 - $417 + 200
= $83
Read related link on:
https://brainly.com/question/20840160
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches a width of 3 inches and a height of 3 1/2
Answer:
94.5
Step-by-step explanation:
3x3.5x9=94.5
Hope this helps :)
Also please mark as branliest
What is the Next-Now rule and function rule for this table? 50 POINTS! BRAINLIEST TO CORRECT ANSWER.
Any unrelated answer is subject to getting their IP found and get reported.
Answer:
Step-by-step explanation:
I'm not sure what the next now rule but I can give you the function.
y = 5 * 2^x
So the table is constructed by letting 0<=x<=8
For example if x is 3
y = 5 * 2^3
y = 5 * 8 = 40
When x = 3 does y come to 40? According to the chart it does.
Try another one
y = 5 * 2*6
y = 5 * 64
y = 320 Is that what the chart records? Yes it does.
If what the text now rule means is that from the current value of y, you can get the next value, then the formula would be
y_n = 2 * y_(n - 1)
y_7 = 2 * y_6
y_7 = 2 * 320
y_7 = 640
ayudaaa es para hoy ;-;
múltiplos de 3: 6-9-12-15-18-21-24. etc
múltiplos de 3 que también son de 6:12-18-24.etc
múltiplos de 6: 12-18-24-30-36-42-48-54-. etc
múltiplos de 10:20-30-40-50-60-70-80.etc
múltiplos de 5:10-15-20-25-30-35-40-45-50-55.etc
múltiplos de 5 que tambien son de 10:20-30-40-50. etc
Which value of y will make the equation true? -3 y= 18
Answer:
-6
Step-by-step explanation:
-3x-6=18
Answer:
Y = -6
Step-by-step explanation:
Solve for y
-3y = 18
divide both sides by -3
y = -6
(3x + 4) + (5x - 6) add or subtract horizontally
Answer:
[tex](3x+4)(5x−6)\\ 3x+4+5x−6\\\\3x+4+5x−6 \\3x−2+5x\\\\3x−2+5x\\8x−2\\\\8x−2[/tex]
Step-by-step explanation: all the a's are minuses
Maths question, will mark Brainliest! Find the area of a circle with a radius of 4.
Answer:
8[tex]\pi[/tex]
Step-by-step explanation:
area=[tex]\pi[/tex][tex]r^{2}[/tex]
[tex]\pi[/tex][tex]4^{2}[/tex]
16[tex]\pi[/tex]
since it is a semicircle, cut that number in half.
Answer:
25.12units squared
Step-by-step explanation:
A = [tex]\frac{\pi r^2}{2}[/tex] or [tex]\frac{3.14r^2}{2}[/tex]
r = 4
3.14 x 4^2 = 50.24
50.24/2 = 25.12
Joy Wigens, who works at Putnam Investments, received a check for $2,670. She deposited 1/3 of the check in her Citibank account. How much money does Joy have left after the deposit?
Answer: $1,780
Step-by-step explanation:
Joy Wigens deposited 1/3 of the check of $2,670 that she received in her Citibank account.
The amount she deposited in her Citibank account was:
= 1/3 * 2,670
= $890
The amount she is left with after this deposit will therefore be:
= Check amount - deposit at Citibank
= 2,670 - 890
= $1,780