Answer:
$49,216.78
Step-by-step explanation:
A(n,k) = R[1-(1+i)^-n / i) (1+i)^-k
A = Present value of deferred annuity
R = Payment at the end of period
R = 30,000
i = 0.06 / 2
n = (4)*2 = 8
k = deferred period, (18)*(2) = 36
A(n,k) = 30,000*(1-(1+0.04)-^8 / 0.04)*(1+0.04)^-36
A(n,k) = 30,000*(1-(1.04)^-8 / 0.04)*(1.04)^-36
A(n,k) = 30,000*(1 - 0.730690205/0.04) * 0.24366872185
A(n,k) = 30,000*(0.269309795 / 0.04)*0.24366872185
A(n,k) = 30,000*6.732744875*0.24366872185
A(n,k) = 49216.78014700164
A(n,k) = $49,216.78
So the lump sum payment that the university accept now is $49,216.78
29-3x=5x+5
Can you work it out
Answer:
x=3
Step-by-step explanation:
29 - 3x = 5x + 5
Subtract 5 from both sides:
24 - 3x = 5x
Add 3x to both sides:
24 = 8x
Divide both sides by 8:
X = 3
Please answer the screenshot I attached below
Answer:
i think the answer is
[tex] \frac{1}{ {x}^{ \frac{4}{3} }} [/tex]
Tara is graphing the equation 4x + 2y = 10. Which of these shows the correct equation in slope-intercept form, slope, and y-intercept? Question 2 options: y = –2x + 5 slope = –2 y-intercept = 5 y = 4x + 5 slope = 4 y-intercept = 5 y = 2x + 4 slope = 2 y-intercept = 4 y = –4x + 5 slope = –4 y-intercept = 5
the answer should be : y=-2x+5
A park shaped like a rectangle. The diagram shows the how the park is split into a sports field and a playground. Let x represent the length in meters of the sports field. Write an expression to represent the area of the park as the sum of the areas of the sports field and the playground.
Answer:
20r + 310
Step-by-step explanation
For the first part.
The required expression is 20x + 310 which represents the area of the park as the sum of the areas of the sports field and the playground.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Let x represent the length in meters of the sports field.
Here, the area of the sports field = 20 × x = 20x units
And, the area of the playground = 15.5 × 20 = 310 units
Now, the required expression to represent the area of the park will be :
⇒ area of the sports field + area of the playground
⇒ 20x + 310
Thus, the required expression is 20x + 310.
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7(3x -4) = 49
can you help me
Answer:
3 2/3
Step-by-step explanation:
7(3x-4)=49
21x-28=49
21x=77
x=3 2/3
Some algae contains up to 50% oil by weight. How much oil is in a 7.3-ounce sample of this type of algae?
This would help if you could solve anyone.
Answer: 3.65
Step-by-step explanation:
This question is asking basically what is 50% or 1/2 of 7.3.
Let's expand the number 7.3
Then, we end up getting 7.30.
We have to find 1/2 of 7.30.
[tex]\frac{1}{2}[/tex] of 7.30 = [tex]3.65[/tex]
Hope this helps you!
If m∠ACD = 136° and m∠B = 42°, Find m∠A.
Answer:
2°
Step-by-step explanation:
Hello
I see you are very confused by this problem. However, there is an easy way to solve this one.
It has been proved that the sum of all angles in a rectangle is always 180°. Here is a way to prove it:
x y
_______A_________
/\
/ \
/ \
/ \
___/_______ \__
B C
we have two parellel lines xy and BC. It is true that:
xAy = 180°
xAB + BAC + CAy = xAy = 180
xAB = ABC
CAy= ACB
=> ........
I'll let you finish with your great intellect ^_^
HOPE YOU LEARN WITH JOY AND GOOD GRADE
if you bought 5 apples for $2. What is the cost for 1 apple
Answer:
$0.40
Step-by-step explanation:
you divide the 2 by 5 because they two dollars is being spread throughout the 5 apples. 2 divided by 5 is 0.40
A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value of x in the area model? Enter your answer in the box.
Answer:
X = 4 because 20 times 16 is 320 than if you add 4 to the 20 you will get 24. 24 times 16 is 384. BOom thats your answer and i know because i just answered it.
Step-by-step explanation:
Anyone help with this
Answer:
Anyone help with this
x = 3t / b425 divided by 14 please i need to know fast
Answer:
30.3571429
Step-by-step explanation:
4x - 4 - 8y + 8 - 5x + 1 =
Answer:
-x - 8y + 5
Step-by-step explanation:
Add the numbers
4x - 4 - 8y + 8 - 5x + 1 =
4x + 5 - 8y - 5y
Combine like terms
4x + 5 - 8y - 5y
-x + 5 - 8y
Rearrange terms
-x + 5 - 8y
-x - 8y + 5
The solution of expression is,
⇒ - x - 8y + 5
We have to given that,
An expression is,
⇒ 4x - 4 - 8y + 8 - 5x + 1
Now, We can simplify by combining like terms as,
⇒ 4x - 4 - 8y + 8 - 5x + 1
⇒ 4x - 5x - 8y - 4 + 8 + 1
⇒ - x - 8y + 5
Therefore, The solution of expression is,
⇒ - x - 8y + 5
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Jan tossed a coin 50 times and got a head 20 times. What is the
experimental probability? What is the theoretical probability?
Answer:
The standard answer for this is 50%.
Step-by-step explanation:
However, this is based on the implicit assumption that the coin is fair.
If there are reasonable grounds to doubt that the coin is fair, the theoretical probability must be based on observed statistics. In this scenario, the probability is 60%.
The factors of two numbers are given below: Number 1: 1, 2, 3, 6, 9, 18. Number 2: 1, 2, 3, 4, 6, 12. What is the least common multiple of the numbers?
Answer:
36 is your answer hope this helps
Use an exponent to write each expression 3/4 x 3/4 x 3/4 x 3/4 x 3/4
Answer:
[tex] { \frac{3}{4} }^{5} [/tex]
The given expression 3/4 x 3/4 x 3/4 x 3/4 x 3/4 can be written as (3/4)⁵ in the form of an exponent.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
An exponent is a shorthand way of representing a repeated multiplication of the same number.
As per the given question, the number being multiplied is 3/4, and it is being multiplied by itself 5 times. The exponent, 5, tells us how many times the base, 3/4, is being multiplied by itself.
⇒ 3/4 x 3/4 x 3/4 x 3/4 x 3/4
⇒ (3/4)⁵
Therefore, the given expression can be written as (3/4)⁵.
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combine like terms 2x - 3 - 2y - 4x + 2y + 5
Answer:
-2x + 2
Step-by-step explanation:
2x - 3 - 2y - 4x + 2y + 5
2x - 4x + 2y - 2y + 5 - 3
-2x + 2
arange the number line in the following spending order 20,-40,5-1,10
I need help please Will mark brainliest. Thank you so much.
Jayme was almost finished running the Los Angeles Marathon. So far, she has ran 25 miles in 6 hours. At the same rate, how long would it take her to do a 100 miles Triathlon?
Answer:
24 hours because if she travels 25 miles in 6 hours and you multiply 25 by 4 to get 100, you need to multiply 6 by 4 in order for how long it takes her to run 100 miles. 6 X 4 = 24 hours
Solve each of the following:
a. 3 movie tickets cost $36. At this rate, what is the cost per ticket?
b. 3 ice cream cones cost $8.25. At this rate, how
much do 2 ice cream cones cost?
C-3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
a. $
b. $
Step-by-step explanation:
A. 36÷3=12 $12 per ticket
B. 8.25÷3=2.75 $2.75 per ice-cream cone so do 2.75×2=5.50 $5.50 for 2 ice creams
C. 0.99÷3=0.33 $0.33 per banana so do 0.33×5=1.65
$1.65 for 5 bananas
HOPE THIS HELPS
what are the common factors of 20 and 24
Answer:
4
Step-by-step explanation:
4 x 5= 20
4x6 = 24
So 4 can go in 20 and 24 making it the common factor
The common factor of 20 and 24 would be; 4
How to find Greatest common factor?Greatest common factor, as the nathe me implies, is greatest among all common factors among the quantities given. We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those will together greatest GCF(Greatest common factor).
We need to find the common factors of 20 and 24
Therefore,
Factors are;
4 x 5= 20
4 x 6 = 24
Hence, we can conclude that 4 can go in 20 and 24. it is the common factor.
The common factor of 20 and 24 would be; 4
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At a local baseball game, the concession stand has two different meal choices. You can get 7 hotdogs and 5
drinks for $41.00 or you can get 4 hotdogs and 8 drinks for $44.00. If the price of hotdogs and drinks is the
same for each meal, find how much it costs for an individual hotdog and how much it costs for an individual
drink.
per hotdog:
per drink:
Answer:
Each hotdog is $3 and each drink is $4.
Step-by-step explanation:
Let h be the number of hotdogs and d the number of drinks,
7h + 5d = 41
4h + 8d = 44
Let's eliminate h. Multiply the first by 4 and the second by 7.
28h + 20d = 164
28h + 56d = 308
Subtrat the first from the second.
36d = 144
d = 4
Substitute back into one of the equations.
7h + 5(4) = 41
7h + 20 = 41
7h = 21
h = 3
Some of the line segments on the graph are nearly horizontal. What do these line segments represent?
Answer:
Step-by-step explanation:send a pic
Answer:
These line segments represent the end point of a graph
Below are two parallel lines with a third line intersecting them.
Answer:
x = 132
Step-by-step explanation:
180 - 48 = 132
1. Identify each part of the exponent: (-4)3
Base =
Exponent =
Gabrielle is 10 years younger than Mikhail. The sum of their ages is 88. What is Mikhail's age?
Steph bought a used bicycle restored it and then marked it up by 1/4 of the price she paid later she sold it for the marked-up price of $80 how much in dollar did steph pay for the bicycle ?
Answer:
Steph payed $64 for the bicycle
Step-by-step explanation:
80/5=16
16×4=64
hopefully this helps :)
On a coordinate plane, the x-axis is labeled Number of Days and the y-axis is labeled Number of Computers. A line goes through points (3, 36), (4, 48), (5, 60). The graph shows a proportional relationship between the number of computers produced at a factory per day. In three days, 36 computers are produced; 48 computers are produced in 4 days; and 60 computers are produced in 5 days. Find the unit rate of computers per day using the graph. Unit rate: computers per day
Answer:
12 is the answer ppl hope it helps you all
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i got it right on edg
Stu
The point on the parabola y = 3 - x2 that is closest to the point (3,3) is
(Type an ordered pair. Round to two decimal places as needed.)
Step-by-step explanation:
i!ieirurieiewjsisks
Help me with this please it says how can you isolate the term f/3 in f/3 + 22 = 17
Answer:
Given:[tex]\sf {\dfrac {f}{3}}+22=17 [/tex]
To find:-[tex]\sf {\dfrac {f}{3}}[/tex]
Solution:-First write the equation[tex]{:}\dashrightarrow[/tex][tex]\sf {\dfrac {f}{3}}+22=17 [/tex]
Now take 22 to the other side by which the "+"sign will turn "-".[tex]{:}\dashrightarrow[/tex][tex]\sf {\dfrac {f}{3}}=17-22 [/tex]
Simplify[tex]{:}\dashrightarrow[/tex][tex]\sf {\dfrac {f}{3}}=-5 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf {\dfrac {f}{3}}=(-5)}}}[/tex]
Answer: Subtract 22 from both sides.
Step-by-step explanation:
f/3 +22 = 17
f/3 +22 -22 = 17 -22 Subtracting the same value from both sides keeps the equation equal.
Then simplify. The +22 and -22= 0 They "cancel" 17-22 = -5
f/3 = -17 f/3 is now isolated-- by itself-- in the equation.
If you had to solve for f, the next step would be to multiply both sides by 3.