Answer:
12195508,42
Step-by-step explanation:
A(1-R) NA is the depositR is the % presentN is the time period (exponent)A(1-5.8%)80=102,393.44An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.
What is meant by deposit?A deposit is money held at a bank. A deposit is a monetary transaction in which money is transferred to another party for safekeeping.A deposit is money placed in a bank account. Deposits are classified into two types: demand deposits and time deposits. Checking, savings, and money market accounts are all examples of demand deposit accounts. Certificates of deposit (CD) and individual retirement accounts are examples of time deposit accounts.Therefore,
Assume that each year has 52 weeks: then compounding occurs.
n = 52 × 80n
times and the rate for each compounding is
[tex]$i=\frac{5.8 \%}{52}=\frac{0.058}{52}$[/tex]
If the original deposit amount is
PV
then the future value
FV
is equal to
[tex]$$F V=P V \cdot(1+i)^n=P V \cdot\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}$$[/tex]
We know the future value (which is given as $ 102,393.44), so calculating the present value is simple:
[tex]P V=F \frac{V}{(1+i)^n}=\frac{\$ 102,393.44}{\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}}[/tex]
The simplest way to compute this is to use a calculator:
[tex]$P V \approx \$ 991.45 .$$[/tex]
We can simplify this expression with great precision just for fun. It is well known that
[tex]$\left(1+\frac{1}{n}\right)^n \rightarrow e$[/tex]
which easily implies that
[tex]$\left(1+\frac{a}{n}\right)^n \rightarrow e^a$[/tex]
Here,
[tex]$$\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}=\left(\left(1+\frac{0.058}{52}\right)^{52}\right)^{80} \approx\left(e^{0.058}\right)^{80}=e^{0.058 .80}=e^{4.64}[/tex]
That is, [tex]P V \approx F V e^{-4.64}$.[/tex]
Hence, An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.
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Which number line represents the number 0.7
Answer:
What number like?
Answer: The answer is C.
The question I assume you are talking about is in the image.
Which algebraic sentence means "a number x plus 2 is at most 25"?
Answer:
x + 2 [tex]\leq[/tex] 25
Step-by-step explanation:
The given algebraic sentence means is x + 2 ≤ 25
What is Mathematical inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
ATQ
x + 2 ≤ 25
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13. Solve to find the vertex if :
3x2 – 19x - 5
Answer:
A) y = 3(x -3)^2 -46
B) (3, -46)
C) look at the y-coordinate of the vertex
Step-by-step explanation:
A) Factor the leading coefficient from the variable terms.
y = 3(x^2 -6x) -19
Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.
y = 3(x^2 -6x +9) -19 -3(9)
y = 3(x -3)^2 -46
__
B) Compared to the vertex form, ...
y = a(x -h)^2 +k
we find a=3, (h, k) = (3, -46).
The vertex is (3, -46).
__
C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.
If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.
Step-by-step explanation:
Determine which graph shows y as a function of x.
I have to pick out of the photos I attached.
Answer:
I would say either pic 2 or four.
Step-by-step explanation:
Hopes This Helps
Helppppopleaseee????
Answer:
LQ = 5
Median = 6
Step-by-step explanation:
[tex]\frac{n+1}{2}[/tex] gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.
Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.
Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.
PLEASE HELP!!!
Bob and Sue are 12 miles apart and moving toward each other. Bob is running at a constant speed of 5mph, and Jada walks at a constant speed of 3mph How long does it take until Bob and Sue meet?
Answer:
34 miles
Step-by-step explanation:
jn
If a constant force acts upon an object with a mass of 2 kg, the acceleration of the object is 14 m/s^2. When the same Force acts upon another object it's acceleration is 4m/s^2. What is the mass of the object?
Step-by-step explanation:
in the first object:
force = mass × acceleration = 2 × 14 = 28 N
in the second object :
force = mass × acceleration
28=mass×4
then the mass = 28/4 = 7 kg
To solve for the hypotenuse of a right triangle, what information do you need?
To find the hypotenuse of any right triangle, you need to square and add the other two sides. We call those two sides LEGS.
(legs)^2 + (leg)^2 = (hypotenuse)^2
In your textbook, you will see it this way:
a^2 + b^2 = c^2, where a = b = legs.
Answer:
You can use Sin to solve that problem in it you should have Angle=theeta and perpendicular.
Step-by-step explanation:
First you should have Perpendicula and Then Angle Put That info in Sinɵ = perpendicular/base. Solve it and get your Answer
.....................................................
I will mark as brainliest if answer is correct.
Which ordered pair is a solution to the system of inequalities?
y≥2x-1
y<4x
A. (2,6)
B. (3,2)
C. (3,4)
D. (2,8)
Which variable would you eliminate first to solve this system using the elimination method? 3x+7y=2 -3x-y=10
Answer:
x
Step-by-step explanation:
Since the x- terms are opposites , that is 3x and - 3x , then when the 2 equations are added the x- term will be eliminated.
It is the policy of stores owned by the Talkara Co. to give out bonuses to salespeople every six months. The size of the bonus is determined by averaging (taking the mean of) the two highest and the lowest monthly sales totals from the six-month period, taking 8% of the result, and splitting it evenly among the salespeople. The graph below shows sales for the most recent bonus period.If there are six salespeople, how much money will each one receive, to the nearest dollar? a. $243 b. $309 c. $324 d. $355
Answer:
c. $324
Step-by-step explanation:
The solution is,
A) 83/400= 0,2075
B) 100/400=0,25
C) 42/400= 0,105
D) 42/100= 0,42
E) The special training program was effective.
What is division?Division can be stated as the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Explanation:
Total population= 400 salespeople
Received a bonus last year= 83 salespeople
Attended a special sales training program= 100 salespeople
Both attended sales training and received a bonus= 42 salespeople
a) You need to calculate the number of salespeople that receive a bonus over total population
83/400= 0,2075 The proportion of salespeople that receive a bonus is 0,2075
b) You need to calculate the number of salespeople that attended a special program over total population
100/400= 0,25 The proportion of salespeople that attended a special program is 0,35
c) 42/400= 0,105 The proportion of salespeople that receive a bonus and attended a special program is 0,105
d) You need to calculate the proportion of people that having attended received a bonus.
42/100= 0,42 The proportion of salespeople that receive a bonus having attended a special program is 0,42
e) The special training program was effective. The proportion of people that receive a bonus over the total population that didn't attend the program (41/300=0,14) is inferior to the proportion of salespeople that attend the program and receive a bonus. Meaning that there are more chances of receiving a bonus taking a training program.
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Complete question:
A company employs 400 salespeople. Of these, 83 received a bonus last year, 100 attended a special sales training program at the beginning of last year, and 42 both attended the special sales training program and received a bonus. (Note: the bonus was based totally on sales performance.) a) What proportion of the 400 salespeople received a bonus last year? b) What proportion of the 400 salespeople attended the special sales training program at the beginning of last year? c) What proportion of the 400 salespeople both attended the special sales training program and received a bonus? d) What proportion of the salespeople who attended the special sales training program received a bonus? e) Based on your answers to parts a and d, does the special sales training program seem to have been effective? Explain your answer.
Maxden wanted to measure the length of the objects below.
For each one circle which unit of measurement he should use.
A. His puppy
Inches or Yards
B. A toy car
Yards or Centimeters
C. Width of his desk
Yards or Feet
D. His foot
Inches or Yards
What are the common factors of 16 and 24?
O A. 1,2, 8
B. 1, 2, 460
C. 1, 2, 3, 4,8
O D. 1, 2, 4, 8, 12
SUBMIT
Answer:
1 , 2 , 4 , 8
Step-by-step explanation:
Factors of 16:
1, 2, 4, 8, 16
Factors of 24:
1, 2, 3, 4, 8, 6, 12, 24
Common factors are factors that are shared by both numbers, in this case, it i: 1 , 2 , 4, 8
Find the area and perimeter of the shape given below.
Answer:
perimeter: 14+5+6+6+8+10=59
area: 14x5x6x10=4200
perimeter means adding all the sides including the ones that arent labeled, and the area is multiplying all the numbers included.
A 7-pound bag of lollipops costs $12.18. What is the unit price?
Answer:
The unit price is 1.74$
Step-by-step explanation:
12.18 / 7
is 1.74
Help help math math math
Answer:
-3) -23
0) -8
3) 7
6) 22
Step-by-step explanation:
Plug in the x value for each function and solve for y
Answer:
-3) -23
0) -8
3) 7
6) 22
Step-by-step explanation:
a fancy beaded bracelet requires 3 and 1/4 in of string for everyone in of the length of the bracelet if you were to make a bracelet that is 7 1/2 in long how much string would you need
Answer:
I'm going to call the length of the bracelet the number of times you have to add to get back to the first bead. This is the same as the number of beads, except in one case:
The shortest bracelet has length 1 and starts with (0,0). If you add one time, you get back to the first 0. But the bracelet has two beads. (Every bracelet has to have at least two beads to start.)
The next shortest bracelet starts with (0,5), and has length 3:
0 5 5
There is a bracelet of length 4 that starts with (2,6) (the first example on the main page):
2 6 8 4
There is a bracelet of length 12 that starts with (1,3) (the second example on the main page):
1 3 4 7 1 8 9 7 6 3 9 2
There is a bracelet of length 20 that starts with (0,4)
0 4 4 8 2 0 2 2 4 6 0 6 6 2 8 0 8 8 6 4
There is a bracelet of length 60 that starts with (0,1)
(I'll let you have the fun of writing all the beads.)
Step-by-step explanation:
If sin A = 3/4, then the value of tan A
[tex]sinA=\frac{3}{4}[/tex] ⇒ ∠A ≈ 49°
tanA ≈ 1.15
ok done. Thank to me :>
help help help meeee
Answer:
122
Step-by-step explanation:
since line m and line n are parallel the sum of the angles is equal to 180 degrees
58 + x = 180 subtract 58 from both sides
x = 122
What fraction equals 15/21 with a denominator of 7
Answer:
5/49
Step-by-step explanation:
decimal form = 0.10
Answer:
5/49
hope it helps! stay safe as always!
0.1/0.5=X/10 what is x
0.1/0.5 is the same as 1/5
1/5 = X/10
we times both sides by 10 to get x on its own
1/5 x 10 = 10/5 = 2 ( which equals X/10 x 10)
X/10 x 10 = X
2 = X
Tom is applying for a visa.
He has to pay £2,400 for the visa as well as a 8% charge on the visa price for an on-the-day service.
If Tom has 1 year to save, how much money should he save per month to be able to cover his costs?
Round your answer to the nearest £10.
Answer:
100
Step-by-step explanation:
The total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).
What is the amount?" Amount is defined as the total of all the given quantities as per given conditions."
According to the question,
The amount required to pay for a visa [tex]= \£ 2,400[/tex]
Percentage charges on the visa price as day service[tex]= 8\%[/tex]
Amount as day charge [tex]= 8\%[/tex] of [tex]2400[/tex]
[tex]= \frac{8}{100} \times 2400\\\\= \£192[/tex]
The total amount required for a visa [tex]= \£ (2400 + 192)[/tex]
[tex]= \£ 2592[/tex]
Tom has one year to save,
Therefore,
Amount Tom save in one month [tex]= \frac{2592}{12}[/tex]
[tex]=\£ 216[/tex]
≈[tex]\£ 220[/tex] ( round to nearest [tex]\£ 10[/tex])
Hence, the total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).
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What is the percent decrease from 16 to 0
100 POINTS WILL AWARD BRAINLIEST PLEASE HELP
(IMAGE INCLUDED)
In the image below, the m
Answer: 67°.
Step-by-step explanation:
1) m∠PMR=m∠LMN=3x+19°;
2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;
3) if to solve the equation 3x+19+9x-31=180, then x=16;
4) m∠PMR=3x+19=48+19=67°.
Find x
Linear pairs are supplementary
9x-31+3x+19=18012x-12=180x-1=15x=15+1=16So
opposite angles are equal
m=9(16)-31=144-31=113°A teacher gave a test with 50 questions, each worth the a a teacher gave a test with 50 questions, each the same number of points. Donovan got 38 out of 50
questions right. Marci's score was 80%.
How many more questions did Marci answer correctly?
Marci answered
more questions correctly.
Answer:
Marci answered 40 out of 50
Marci answered 2 more questions correctly.
Step-by-step explanation:
Donovan got 38 out of 50
Marci got 80% which means 40 out of 50
40-38 = 2
whats the perimeter of a semi circle which's radius is 100cm
Answer:
257 cm
Step-by-step explanation:
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Help bell bell help help help
Answer:
answer is ‐10
Step-by-step explanation:
(x+14) =(5x-74)pick like terms together (x+5x)=(+14‐74)(6x)=(‐60)divide by 6answer is ‐10
Find the value of B.
200 + 50 + B = 100 + 47 + 10 + 100
Answer:
The value of B is 7.
B = 7
Answer:
B = 7
Step-by-step explanation:
first 100 + 47 + 10 + 100 = 257
second 200 + 50 = 250
257 - 250 = 7
Suppose you receive a shipment of 29 engines, two of which are defective. What is the probability of picking a sample of 4 engines with two bad engines in it? (Round approximations to the nearest thousandth.)
Answer:
0.4%
Step-by-step explanation:
2 are defective and 27 are good out of 29. Chance of picking 1 defective is 2/29 or .069. Chance of picking good is 27/29 or .931.
2 good and 2 bad is
.931 * .931 * .069 * .069 = .004
There is a 0.4 % chance of 2 bad.