Jonathon saves $4,000 at the end of each quarter for 10 years. Assume 12% compounded quarterly and find the present value.
A. $35,008.24
B. $92,459.08
C. $105,623.10
D. $88,459.08
Kaitlyn hopes to attend a college where tuition is $24,000 per year. She believes that tuition will increase at 4% for the 3 years until she plans to enter college. Find the quarterly payments needed to accumulate funds to pay the first year’s tuition if funds earn 8% compounded quarterly.
A. $1,597.20
B. $34.05
C. $2,012.87
D. $2,561.30
Answer:
Results are below.
Step-by-step explanation:
1. First, we need to calculate the Future Value:
FV= {A*[(1+i)^n-1]}/i
A= quarterly deposit
n= 10*4= 40
i= 0.12/4= 0.03
FV= {4,000*[(1.03^40) - 1]} / 0.03
FV= $301,605.04
Now, the present value:
PV= FV/(1+i)^N
PV= 301,605.04/(1.03^40)
PV= $92,459.09
2. First, we need to calculate the value of the first year of college:
FV= PV*(1+i)^n
FV= 24,000*(1.04^3)
FV= $26,996.74
Now, the quarterly payments:
FV= {A*[(1+i)^n-1]}/i
A= quarterly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
i= 0.08/4= 0.02
n= 3*4= 12
A= (26,996.74*0.02) / [(1.02^12) - 1]
A= $2,012.87
what is 6% of $4100.
Answer:
$246
Step-by-step explanation:
If a car travels 55 miles per hour, how long will it have traveled if it travels 110 miles?
Answer:
2 hours
Step-by-step explanation:
Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each, she had 28 apples left.
Write an equation that represents the story.
Answer:
Step-by-step explanation:
4(a-1) = 28
a = 8 apples per bag
The four corners of a square are located at (-7, -2), (-7,5), (0,5), and (0, -2). What is the perimeter of the square?
A. 14 units
B. 21 units
C. 28 units
D. 49 units
Answer:
A)14 Units is the answer for this question
but check it
Read the picture carefully...there can be more than ONE ANSWER
Answer:
D
Step-by-step explanation:
y=-4x +9 Identify the rate of change
Answer:
the rate of change is -4
Step-by-step explanation:
it's set up as y=mx+b
m is the rate of change
b is the y-intercept
m= -4
b=9
Answer:
f ( x ) = [tex]x^{2}[/tex] , [ 2 , 3 ]
− 4
Step-by-step explanation:
Read and answer each question: A hotel has 7 floors. The lobby, restaurant and gym are located on the ground floor. The guestrooms are on 1 stto 6 thfloors. 1. If there are 35 standard rooms on each floor, how many standard rooms are there? will mark as bralinst
There are 6 floor with guest rooms.
Multiply the number of floors by number of rooms per floor:
35 x 6 = 210 standard rooms.
Solve the inequality 2n – 1 < 39
Answer:
n < 20
Step-by-step explanation:
2n – 1 < 39
Add 1 to each side
2n – 1+1 < 39+1
2n < 40
Divide each side by 2
2n/2 < 40/2
n < 20
If you split the clock, which is a 360 degree circle into 10- minute intervals, what is the central angle of each interval?
Answer:
Since 15 mins are 90 degrees
10 mins are 60 degrees
PLEASE ANSWER!! will mark brainliest
Answer:
it's the second one
Step-by-step explanation:
a^7/a^13
=1/a^6
=1/(a^2)^3
= 1/ 3√(a^2)^3
=1/(a^2)
(c^3)^3
=3√(c^3)^3
=(c^3)
hence as these results matches so I think option b is correct.
Please help with work and explanation
help please i give the best one brainlyest
Answer:
The algebraic expression has one constant, 10.2, which is a number by itself. The variables, which are letters that stand for unknown values, are x and y. The coefficients, which are numbers that are multiplied to the variables, are
-1, -1/2, and 1. The terms that have an x are like terms.
Step-by-step explanation:hope this helps
In a shop, there were 4 times as many guppies as swordtails. After 23 guppies and 27 swordtails were added, there were 83 more guppies than swordtails. What was the total number of fish in the shop at first?
Answer:
145
Step-by-step explanation:
Assume the number of sword tails is x. Then the number of guppies is 4x.
After 23 guppies and 27 swordtails were added. Then guppies = 4x+ 23
swordtails = x+27
According to the relation 83 more guppies than swordtails. We can obtain:
[tex]4x + 23 = x + 27 + 83[/tex]
4x-x= 27+83-23
3x=110-23
3x=87
x=29
There are 5x fish in total at first.
5x=5*29=145
so the number of fish in the shop at first is 145
Ana's manager is trying to figure out how much to charge for a chair that just arrived. If the wholesale price of the chair is $135 and Ana's store marks up all the furniture by 85%, at what price should the manager sell the chair? Round your answer to the nearest cent.
Answer:
$249.75
Step-by-step explanation:
135 x 0.85
114.75 + 135
Show how to use the distributive property to simplify 4(5+x)
Step-by-step explanation:
4x5 + 4x
The 4 is distributed to the 5 and the 'x' in the bracket
Hope this helps
Hey there!
The Distributive Property states the following:
a(b+c)=ab+ac
Where
a, b, and c can be either variables or constants
Now that we know what the property states, let's simplify our expression:
4(5+x)
4 times 5 and 4 times x:
20+4x
Hence, the answer is
[tex]\boxed{\boxed{\bold{20+4x}}}[/tex]
Hope everything is clear,
Let me know if you have any other questions.
#LearningDoesn'tEnd
Using the scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/1
Given:
The ratio is [tex]\dfrac{3}{1}[/tex].
To find:
Inverse tangent of the given ratio.
Solution:
We know that,
Inverse tangent of the ratio [tex]\dfrac{3}{1}[/tex] = [tex]\tan^{-1}\dfrac{3}{1}[/tex]
= [tex]\tan^{-1}3[/tex]
Using scientific or graphing calculator, we get
Inverse tangent of the ratio [tex]\dfrac{3}{1}[/tex] = [tex]71.565^\circ[/tex]
Round to the nearest degree
Inverse tangent of the ratio [tex]\dfrac{3}{1}\approx 72^\circ[/tex]
Therefore, the correct option is C.
Two plus two equals what
Answer: 4 or fish
Step-by-step explanation:
Answer:
2 plus 2 is equal to 4
Step-by-step explanation:
2+2:4
The number of points scored by the girls basketball team in their last ten games are listed below. Which measure of center best describes the data? 38, 42, 45, 39, 48, 46, 39, 42, 45, 72
Answer:
median i think
Step-by-step explanation:
i need help with #4 please help
Answer:
12b-8+12b-8+9b +8=33b-8
20-20+3847x1,00,000,000=?
Say #relatable if this is you
Answer: 384,700,000,000
Step-by-step explanation:
Answer:
20-20+3847x1,00,000,000 =
348699999982
Step-by-step explanation:
lol not me
Micki runs 3 miles during each track practice. The
graph below represents the total number of miles
she has run, d, in terms of the number of track
practices she has attended, t.
HELP ME PLS ASAP PLS PLZ I NEED FOR TODAY AS IN 2/18/21! PLZZZZ
Answer:
A d= 3t
Step-by-step explanation:
(6)= 3(2)
(9)= 3(3)
(12)= 3(4)
(15)= 3(5)
(18)= 3(6)
Which equation has no solution?
3k - 20 = 12
8+15g=15+8g
12x+6=3(4x+2)
9р +7 =6р- 2+ Зр
Answer:
9р +7 =6р- 2+ Зр
Step-by-step explanation:
Answer:
9p+7=6p-2+3p your answer is
Chau bought 28 pounds of flour for $12.
How many dollars did he pay per pound of flour?
Answer:
Step-by-step explanation: 28 divided by 12 = $2.33 per pound of flour.
A newsletter publisher believes that less than 25% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim
Answer:
There is enough evidence at the 0.05 significance level that the percentage is less than 25%.
Step-by-step explanation:
The question has no options. However, there are enough details to arrive at a conclusion.
Required
What can we conclude about the claim of the publisher.
From the question, we understand that the null hypothesis is rejected.
In statistics, a hypothesis is rejected, if the level of significance is less than the required or determined value.
In this case, the determined value 25% and the level of significance is 0.05
So, the conclusion on the claim is that there is enough evidence at the 0.05 significance level that the percentage is less than 25%.
which is the product of 15 5\12 A. 5 5\12 B. 6 1\4 C. 7 1\12 D. 7 3\4
Answer:
6 1/4
HOPE THIS HELPS!!!!!
-2x-3y=-7
y=6x-11
If someone answers this and shows work I will give Brainlyest
Answer:
x = 2
y = 1
Step-by-step explanation:
-2x-3y=-7, y=6x-11
-2x - 3(6x - 11) = -7
-2x - 18x + 33 = -7
-2x - 18x = -40
-20x = -40
x = 2
y = 6(2) - 11
y = 12 - 11
y = 1
Answer:
x = 2, y = 1
Step-by-step explanation:
We have a system of equations:
-2x - 3y = -7
y = 6x - 11
Substitute the given value of y into the equation -2x - 3y = -7
-2x - 3 * (6x - 11) = -7
-20x = -7 - 33
-20x = - 40
x = 2
Substitute the given value of x into the equation y = 6x - 11
y = 6x - 11
y = 6 * 2 - 11
y = 1
PLS I WILL GIVE BRAINLIEST AND IT IS WORTH DOUBLE POINTS!!!
Sophia is paying for a meal which costs $35. She has a coupon for a 20% discount. After the discount, sales tax is added at a rate of 8%. How much does Sophia need to pay for this meal? Explain how you got your answer
Answer:
he has 0.56 cents
Step-by-step explanation:
Answer:
I think the answer is 30.24
take off that is because 35 - 20% equals$28 plus 8% tax equals 30.24 so that's how I got that
One face of a cube-shaped package has an area of 7 5/8 square inches what is the lateral surface area of the package in square inches
Answer:
232.57 square inches
Step-by-step explanation:
The computation of the lateral surface area of the package in square inches is shown below;
Let us assume the area of cube is a
Given that
a = [tex]7 \frac{5}{8}\ in^2[/tex]
As we know that in a cube there is a four faces so the lateral surface area would be
[tex]= 4a^2\\\\=4\times 7\frac{5}{8} ^2\\\\= 4\times (\frac{61}{8})^2\\\\= 4\times \frac{3721}{64} \\\\= 232.57[/tex]
= 232.57 square inches
A vendor has 10 balloons for sale: 5 are yellow, 2 are red, and 3 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow?
Answer:
4/9
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation: