You invest $7000 in an account bearing 5% interest for ten years. A. How much will the account be worth if compounded quarterly? What about monthly? Daily? B. What do you notice about the amount of additional money you make as the frequency of compounding increases?
Answer:quarterly, monthly, daily
Step-by-step explanation:
quarterly: y=7000 (1+.05/4)'10(4) answer y=11,505.34
monthly: y=7000 (1+.05/12)'10(12) answer y=11,529.07
daily: y=7000 (1+.05/365)'10(365) answer y=11,540.65
What do you notice about the amount of additional money you make as the frequency of compounding increases? The account is worth more
The account will be worth approximately $11,505 if compounded quarterly.
The account will also be worth approximately $11,540 if compounded daily.
A. Compounded quarterly:
n = 4 (quarterly compounding)
A = 7000(1 + 0.05/4[tex])^{(4)(10)[/tex]
A ≈ 7000(1.0125)⁴⁰
A ≈ 7000 x 1.643619463
A ≈ 11505.34
The account will be worth approximately $11,505 if compounded quarterly.
B. Compounded monthly:
n = 12 (monthly compounding)
A = 7000(1 + 0.05/12[tex])^{(12)(10)[/tex]
A ≈ 7000(1.00416666667)^(120)
A ≈ 7000 x 1.6487212707
A ≈ 11540.05
The account will be worth approximately $11,540 if compounded monthly.
C. Compounded daily:
n = 365 (daily compounding)
A = 7000(1 + 0.05/365)^(365*10)
A ≈ 7000(1.0001369863)^(3650)
A ≈ 7000 * 1.6487212707
A ≈ 11540.05
The account will also be worth approximately $11,540 if compounded daily.
B. As the frequency of compounding increases, the additional money earned (compared to simple interest) becomes more significant. In this case, regardless of whether the interest is compounded quarterly, monthly, or daily, the resulting values are very close to each other.
Learn more about Compound Interest here:
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Marshall High School’s community service club will be selling baked goods as a fundraiser. The club members plan on making cupcakes and cookies. There will be 5 cookies made for every 2 cupcakes made. The club members plan on making 280 total baked goods.
Plot the point on the coordinate plane below that represents the total number of cupcakes and the total number of cookies that the community service club members plan on making for the fundraiser.
To plot the point, click the pencil tool and select the thickest brush size.
Answer:
119290208
Step-by-step explanation:
5-5=0 okay so i taught you a li sum so thats right
The diagram shows a solid cuboid with
dimensions a, b and c.
a)
a
Find a formula for S, the total surface area
of the cuboid, in terms of a, b and c.
Write 'S=
b)
Find the value of S when a = 3, b = 4, c = 5.
Answer:
[tex]s = (3 \times 4)2 = 24 \\ s =(3 \times 5)2 = 30 \\ s = (4 \times 5)2 = 40 \\ \\ 24 + 30 + 40 = 94[/tex]
please help will mark brainlyist
Answer:
A lot
Step-by-step explanation:
A lot
Please help.
Is algebra.
Answer:
Question 2: A. Overlapping lines.
The equations are identical; and if we would treble the first equation, we get the second equation.
Question 3: B. Multiply the second equation by -3 to get [tex]-3x - 12y = -48[/tex]
Determine the rate of change.( graph is in the picture)
Answer:
the rate of change is -5
hope that helps
What is the solution for this system use the graphics method ? Help me plz
Answer:
(-3,29)
Step-by-step explanation:
Find the AREA of the rectangle.
8 yards
3 yards
Answer:
24
Step-by-step explanation:
A= b x h
8x3=24
A circle has a radius of 10 cm. Student tried to find the area of a sector in the circle where the radii formed a 60° angle. Explain two errors the student made.
Answer:
First the student used the formula for circumference instead of area. Then, the student should have written 60/360, not 60/100, because there are 360 degrees in a circle.
Step-by-step explanation:
Answer:
Sample response: First the student used the formula for circumference instead of area. Then, the student should have written 60/360, not 60/100, because there are 360 degrees in a circle.
Step-by-step explanation: Have a nice day<3
joe worked 8days for a total of 58.4hours. If he worked the same number of hours each day, how many hours did he work in a day?
Answer:
7.3 hours per day.
Step-by-step explanation:
Just do 58.4 divided by 8 and you get 7.3.
*Hope this helps*
What is the end behavior of f(x) =log3 (x+7) -1?
Answer:x=-4
Step-by-step explanation:
1. Simplify:
50r2-20r
- 10r
A. -5r + 2
B. -5r-2
C. 5r2 +2
Answer:50r2−30r
Step-by-step explanation:
got it of the web.
If a number is right next to a variable,
side-by-side, with no symbol between
them, it means..
Division
Addition
Multiplication
Subtraction
Solve the following inequality for y.
18x + 6y > 12
Answer:
12
Step-by-step explanation:
Simplifying
18x + -6y = 12
Solving
18x + -6y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6y' to each side of the equation.
18x + -6y + 6y = 12 + 6y
Combine like terms: -6y + 6y = 0
18x + 0 = 12 + 6y
18x = 12 + 6y
Divide each side by '18'.
x = 0.6666666667 + 0.3333333333y
Simplifying
x = 0.6666666667 + 0.3333333333y
Someone please help me
Answer:
6
Step-by-step explanation:
The purple shape is dilated by a scale factor of 6.
Hope it helps and is correct!!!
Please help Please Please Pleaseeeee
Answer:
9
Step-by-step explanation:
Hello There!
The image shown is a trapezoid
The dimensions of the non shaded area are:
Base 1 = 2 units
Base 2 = 4 units
Height = 3 units
Now that we have found the dimensions we want to solve for the area by using the area formula for a trapezoid
[tex]A=\frac{a+b}{2}h[/tex] where a and b are bases and h is the height
knowing the dimensions all we have to do is plug in the values
so
[tex]A=\frac{2+4}{2} 3\\2+4=6\\\frac{6}{2} =3\\3*3=9\\A=9[/tex]
so we can conclude that the area of the non shaded part is 9 square units
pls someone help me with this, and fast pls
Answer:
212.5
Step-by-step explanation:
25x17=425
425/2=212.5
Lisa is mailing a package. The package weighs 3.5 pounds. The post office charges $0.85 per ounce to ship. How much does Lisa's package weigh in ounces?
Answer:
56 oz.
Step-by-step explanation:
1 pound = 16 oz.
3.5 pounds = 56 oz.
Answer:
56 ounces
Step-by-step explanation:
3.5pds=56 ounces
There are 16 ounces in a pound
Total Points: 50
1) What does slope of a line describe?
2) If you were traveling from left to right on a line and you said you were going uphill would the
slope be positive or negative?
3) What move does the numerator of the slope describe?
4) What move does the denominator of the slope describe?
5) Find the slope between the points (3. 2) and (5, 4). Show your work.
Answer:
1. slope
2.Positive
3.up and down
4. Left and right
5. 1/1 or over 1 up 1
Step-by-step explanation:
Which line has a constant of proportionality between y and x of 1/2
Answer:
Line c
Step-by-step explanation:
y=[tex]\frac{x}{2}[/tex]
Please help in question 1 please!!
Need answer asap!
will give many points.
Answer:c
Step-by-step explanation:
the fifth graders were given sandwiches for lunch during their field trip. Nathan ate 5/6 of his sandwich, Leroy ate 7/8 of his sandwich, and Sofia ate 3/4 of her sandwich. who ate the greatest amount of their sandwich? explain
Answer:
Sofia
Step-by-step explanation:
Bc she had 4/4 and she ate 3/4 and 3/4 is greater than the other too
Which is a quadratic function?
Answer:
it has two zeroes
it is of the form ax^2+bx+ c
thats all
Step-by-step explanation:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola.
what is the area of the grassy yard?
Answer:
360 meters squared
Step-by-step explanation:
24 x 16 = 384. The triangle that was taken out has an area of 24 meters squared. 384 - 24 = 360
Mango mixed 24 ounces of blue paint with 16 ounces of red paint to create a new purple color. In order to create 72 more ounces of this exact purple color, how many ounces of red paint would she need
Answer: 28.8 ounces of red paint
Step-by-step explanation:
The total amount of paint created the first time Mango mixed colors was:
= 24 + 16
= 40 ounces of purple color
For 40 ounces of purple, 16 ounces of red was needed. Proportion is therefore:
= 16/40
If one wants 72 ounces of purple therefore:
= Proportion of red used * 72 ounces
= 16/40 * 72
= 28.8 ounces of red paint
Pls help!!!!!!!!!!!!!
Answer:1/4
Step-by-step explanation:
It’s just adding 1 on the x axis and adding 4 on the y axis then x/y
Given STU and DEF , what is m∠E
Answer:
105
Step-by-step explanation:
by sss congruency we conclude that they are similar.
29+46=75
180-75=105
what is the use greatest common factor and the distributive property t write equivalent
expression in factor form 2x+8y=
2x+8y in factor form is 2(x+4y)
A clothing store offers a 30% discount on all items at the store. If the original price of a sweater is $40, how much will you pay for the sweater at the discounted price?
Answer:
x=1
Step-by-step explanation:
HELP!!!!
The measure of side BC =
Answer:
D
Step-by-step explanation:
Using the cosine ratio and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{n}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2BC = n[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
BC = [tex]\frac{n\sqrt{2} }{2}[/tex] → D