Using the compound interest formula, the amount of money in the man's bank account in the second year is $100352
The compound interest relationship is computed using the relation :
Final amount = P(1 + r)^tP = principal ; r = interest rate ; t = periodPlugging the values into the formula :
Final amount = 80000(1 + 12%)²
Final amount = 80000(1 + 0.12)²
Final amount = 80000(1.12)²
Final amount = $100352
Therefore, the final amount in the second year is $100352
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square root of 31 is between which two integers?
Answer:
5 and 6
Step-by-step explanation:
what is 3/5 x 7/9 equivalent to 3/5 divided by 7/9
Step-by-step explanation:
It's 27/35, so 27/1 * 1/35
Answer:
0.31 (correct me if I'm wrong)
Step-by-step explanation:
3/5*7/9=0.463/5 divided by 7/9=0.770.77-0.46=0.31PLEASE HELP ASAP
If 4
(A) between 5/8 and 4/5
(B) between 1 and 2
(C) between 0 and 2
(D) between 1/2 and 1
(E) cannot be determined
Answer: I'm not sure how to interpret "If 4 (A) between 5/8 and 4/5." If the sentence was supposed to read:
"Is 4:
(A) between 5/8 and 4/5
(B) between 1 and 2
(C) between 0 and 2
(D) between 1/2 and 1
(E) cannot be determined
Step-by-step explanation: If this is the correctly rewritten question, then the answer is NO to all the options. If I have misinterpreted the question, please clarify.
i need help with this question
Answer:
below
Step-by-step explanation:
I'm not absolutely know what are you asking for the answer, but this graph shows ...
The first 20 minutes he has a constant speed of 1.8/20=0.09 km/min progress to 1.8 km away from home, then has 10 minutes (from 20-30) stop at the spot.
Then he drive home with speed of 0.045 km/min (1.8/40=0.045) for 40 minutes to return to the start point.
50,000 is 20% of what?
Answer:
250000
Step-by-step explanation:
20% of x is 50000
----------------------------
50000=20x/100
50000= x/5
5(50000) = x
250000 = x
Divide:
27.68) 2363.872
Answer:
85.4
Step-by-step explanation:
Help me, it's urgent
Answer:
a) 2.4 b) 2, -3
Step-by-step explanation:
sorry I only know a and b since yea
The graph shows a proportional relationship between the number of cans of tennis balls and the total number of tennis balls.
What does the point (2, 6) represent in this situation?
Tennis Balls graph showing number of tennis balls on the y axis and number of cans on the x axis. A line begins at the origin and passes through the points 1 comma 3 and 2 comma 6.
Answer:
There are 6 tennis balls in 2 cans.
Answer: c and e
Step-by-step explanation:
because im smart like that
PLEASE HLEP ME IM CRYING J WIL GIVE BRAIBLIST
Answer:
Step-by-step explanation:
The two angles can be 48.75 which if you add all those together would be 180 degrees
Sorry if it might be wrong but if its right can you mark me branliest
Answer:
39° and 58.5°Step-by-step explanation:
The tree indicated angles form a straight angle:
2x + 3x + 82.5 = 1805x = 180 - 82.55x = 97.5x = 97.5/5x = 19.5The angle 2x:
2*19.5 = 39°The angle 3x:
3*19.5 = 58.5°The formula E =1/2 kx^2gives the potential energy E of a spring with spring constant k that has
been stretched by length x. Solve the formula fork to find the constant of a spring with a iven
potential energy and stretch.
Answer:
[tex]k = 2E/x^2[/tex]Step-by-step explanation:
Given formula:
[tex]E = 1/2kx^2[/tex]To solve for k, multiply both sides by 2 and divide by x²:
[tex]2E=kx^2[/tex][tex]k = 2E/x^2[/tex]Answer:
[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]
Step-by-step explanation:
The formula given is :
[tex]\sf\longmapsto \: E = \frac{1}{2} kx²[/tex]
Now, multiply (×) both sides by 2 and divide (÷) by x^2
[tex]\sf\longmapsto \: 2E = kx²[/tex]
[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]
Write three expressions that are equivalent to 8x + 16.
Answer:
1. 2(4x + 8)
2. 8(x +2)
3. 4(2x +4)
Step-by-step explanation:
You can check by using the distributive property!
For instance:
2 (4x +8)
2 · 4x = 8x
2 · 8 = 16
= 8x + 16
8(x +2)
8 · x = 8x
8 · 2 =16
= 8x + 16
4(2x +4)
4 · 2x = 8x
4 · 4 =16
= 8x + 16
Hope this is helpful! Let me know if you have any more questions :D
What is the domain of the function?
Negative infinity less-than x less-than infinity
Negative 1 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity
Answer:
(-∞,∞)
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
[tex] \sqrt[3]{x} [/tex]
has the domain all of the real numbers
Milena is trying to determine an algebraic expression to represent the amount of punch she needs to make for her party. She does not know the exact number of guests, but she wants to have 3 cups of punch per guest, plus an additional 20 cups of punch.
Which expression represents the amount of punch Milena will need for her party?
g + 20
3g
3g + 20
3(20)
Answer:
let g = number of guests. if each guest is to have 3 cups we represent this as
3g
for the additional 20 cups, we add 20
3g + 20
Answer: 3g + 20
Step-by-step explanation:
hope this helps
ACME insurance company estimates that the probability of the owners’ of a house worth between $120,000 to $170,000 making a claim for $5000 is 0.08, and that the probability of the house and contents being totally destroyed is 0.0041. Should that tragedy happen, the company will have to pay $150,000. The company charges $1300 for the insurance policy.
What is the expected value of this policy to the insurance company?
Round your answer to two decimal places.
The expected value of this policy to the insurance company is $285.00.
Using this formula
Policy expected value=Insurance policy charges-[(Probability × Claim)+(Probability × Claim)]
Let plug in the formula
Policy expected value=$1,300-{(.0041)($150,000)+(.08)($5,000)]
Policy expected value=$1,300-($615+$$400)
Policy expected value=$1,300-$1,015
Policy expected value=$285.00
Inconclusion the expected value of this policy to the insurance company is $285.00
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14)
Tammy uses 6 inches of wire to make a necklace and 3 inches of wire to make a
bracelet. How many necklace and bracelet sets can she make if she uses 28 inches of
wire in all?
Answer:
3 sets
Step-by-step explanation:
6+3 = 9 inches of wire
28/9 = 3 1/9
so 9 can go into 28 three times
so tammy can make three sets of neclaces and bracelets
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Z=8-i ^ w=12+3i, entonces ZxW, es:
a) 99-12i
b)93+12i
c)99+12i
d)93-12i
Necesito ayuda urgente!!
Answer:
21
Step-by-step explanation:
Jake needs to buy 120beverages for a party. What equation, in standard form, determines the number x of 8-packs of juice and the number y of 12-packs of water Jake can buy?
8x+12y=120
8 packs -> x value
12 packs -> y value
-------------------------------
total amt. of beverages is 120
Suzy can type 85 words in 2 minutes. How many minutes will it take her to type her to type 500 word paper?
Answer:
11,765
Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes
write the simplest polynomial function with the given zeros 2 √2, √5 and -3
Answer:
A. P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120Step-by-step explanation:
With the given zero's, the polynomial is:
P(x) = (x - 2√2)(x - √5)(x + 3)Open parenthesis in steps:
1. (x - 2√2)(x - √5) = x² - (2√2 + √5)x + 2√10 = x² - 2x√2 - x√5 + 2√10
2. (x² - 2x√2 - x√5 + 2√10)(x + 3) =
x³ - 2√2x² - √5x² + 2√10x + 3x² - 6√2x - 3√5x + 6√10 =
x³ + 3x² - 2x²√2 - x²√5 - 6x√2 - 3x√5 + 2x√10 + 6√10
This is not matching any options so we add two more zero's: -2√2 and -√5
New polynomial looks like:
P(x) = (x - 2√2) (x + 2√2)( x - √5)(x - √5)(x + 3)Open parenthesis in steps:
1. (x - 2√2) (x + 2√2) = x² - 82. (x - √5) (x + √5) = x² - 53. (x² - 8)(x² - 5) = x⁴ - 8x² - 5x² + 40 = x⁴ - 13x² + 404. (x⁴ - 13x² + 40)(x + 3) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120(-8r^2s^-8)(-3r^-7s^8)
24r^−5s^0 would be your answer
rectangular equation for the curve whose parametric equations are x = 2cosθ, y = cos2θ.
The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].
In this question, we have a set of parametric equation which must be reduced into a single rectangular equation both by algebraic and trigonometric means, that is to say:
[tex]x = f(\theta), y = g(\theta) \to y = h(x)[/tex]
If we know that [tex]x = 2\cdot \cos \theta[/tex] and [tex]y = \cos 2\theta[/tex], then the rectangular equation is:
[tex]y = \cos 2\theta[/tex]
[tex]y = \cos^{2}\theta - \sin^{2}\theta[/tex]
[tex]y = 2\cdot \cos^{2}\theta -1[/tex]
[tex]\cos \theta = \frac{x}{2}[/tex]
[tex]y = 2\cdot \left(\frac{x}{2} \right)^{2}-1[/tex]
[tex]y = \frac{x^{2}}{2} -1[/tex]
The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].
We kindly invite to check this question on parametric equations: https://brainly.com/question/23070611
8×5 implies that 40 is a multiple of......................... And........................
g An employee joined a company in 2017 with a starting salary of $50,000. Every year, the employee receives a raise of $1,000 plus 5% of the salary of the previous year. (a). Set up a recurrence relation for the salary of the emplyee n years after 2017. A recurrence relation of a sequence is an equation that express a subscript n using one or more of previous terms. (b). What will be the salary of the employee in 2025
Answer:
a) s[n] = 1.05s[n-1] +1000; s[0] = 50,000
b) $83,421.88
c) s[n] = 70000·1.05^n -20000
Step-by-step explanation:
a) Let s[n] represents the employee's salary in dollars n years after 2017. The salary in 2017 is given as $50,000, so ...
s[0] = 50000 . . . . the recursion relation initial condition
The next year, the salary is multiplied by 1.05 and 1000 is added:
s[1] = 1.05·s[0] +1000
This pattern repeats, so the recursion relation is ...
s[n] = 1.05·s[n-1] +1000
__
c) It is convenient to find a formula for the salary before trying to compute the salary 8 years on. So, we work part (c) before part (b).
The base salary gets multiplied by 1.05 each year, so can be described by the exponential function ...
base salary after n years = 50,000·1.05^n
The add-on to the raise becomes a geometric sequence whose common ratio is 1.05. The sum can be described by the formula for the sum of such a sequence:
sum = a1(r^n -1)/(r -1) . . . . . (see note below)
sum of add-ons = 1000(1.05^n -1)/(1.05 -1) = 20000(1.05^n -1)
So, the total salary after n years is ...
s[n] = 50000·1.05^n + 20000(1.05^n -1)
The exponential terms can be combined, so we have the explicit formula ...
s[n] = 70000·1.05^n -20000
__
b) The year 2025 is 8 years after 2017, so we want to find s[8].
s[8] = 70000·1.05^8 -20000 = 70000·1.4774554 -20000
= 103,421.88 -20000 = 83,421.88
In 2025, the employee's salary will be $83,421.88.
_____
Note on the sum of the add-ons
A geometric sequence starts with term a1 and gets multiplied by a ratio r to make the next term: a2=r·a1; a3=r²·a1, ....
The sum of such a geometric sequence has the formula
Sn = a1·(r^n -1)/(r -1)
Here, the sequence starts in year 1 with a1=1000 and has a common ratio r=1.05. The denominator of the sum is r-1 = 0.05 = 1/20, so the sum can be written as
Sn = 20000·(1.05^n -1).
A receptionist setting up tables for an event used 5 round tables and 2 rectangular tables.
Write a ratio that compares the number of round tables to the number of rectangular tables.
I
Answer:
5:2
or
5 to 2
or
5/2
Step-by-step explanation:
7 and a number equals 21
Answer:
7x3=21
Step-by-step explanation:
7+7+7=21, 7x3=21
Is this sequence arithmetic? (Hint: determine if there is a common difference)
7, 18, 29, 40
A) yes
B) no
Find the least common denominator of the two fractions 3/4 over 1/6?
Answer:
(2/12 & 9/12)
Step-by-step explanation:
12 is the least common denominator for the fractions, so they must be rewritten to have the same denominator, but hold the same value.
( not written by me )
What are the measurements of angles x,y,z & w?
Thank you<3
Step-by-step explanation:
z°=180°-25°
z°= 155°
z°=x°=155° (vertically opposite angle).
w°=25°(alternate angle).
y°=z°=155°(alternate angle).
hope this helps you.
Answer:
See belowStep-by-step explanation:
As AB and CD are parallel lines cut by a transversal, we have:
∠x and ∠z are congruent as vertical angles∠x and y are congruent as corresponding angles∠w is congruent with 25° as alternate interior anglesSo the measures are:
m∠x = m∠y = m∠y = 180° - 25° = 155° (supplementary angles sum to 180°)m∠w = 25°Austin and his wife go out to dinner. Their bill is $59.36. They want to leave a 19%
tip, and there is a sales tax of 5.5%. What is the final amount they will pay?
$62.62
$73.90
$74.49
$70.64
Answer:
The final amount they will pay is $74.49
Step-by-step explanation:
59.36(Check)*0.19(19% tip rate)=11.27
59.36+11.27=70.62 Check+Tip
70.62(Check total)*0.055(5.5% tax)=3.87
70.62+3.87=74.49 Total check, tip & tax