Answer:
[tex] \rm - \dfrac{11}{2} [/tex]
Step-by-step explanation:
[tex] \rm Simplify \: the \: following: \\ \rm \longrightarrow - 5 + \dfrac{i}{2} i \\ \\ \rm Combine \: powers. \\ \rm \dfrac{i \times i}{2} = \dfrac{i^{1 + 1}}{2}: \\ \rm \longrightarrow - 5 + \dfrac{i^{1 + 1}}{2} \\ \\ \rm 1 + 1 = 2: \\ \rm \longrightarrow - 5 + \dfrac{i^2}{2} \\ \\ \rm i^2 = -1: \\ \rm \longrightarrow - 5 + \dfrac{( - 1)}{2} \\ \\ \rm \longrightarrow - 5 - \dfrac{1}{2} \\ \\ \rm Put \: - 5 - \dfrac{1}{2} \: over \: the \: common \: denominator \: 2. \\ \rm - 5 - \dfrac{1}{2} = \dfrac{2( - 5)}{2} - \dfrac{1}{2} : \\ \rm \longrightarrow \dfrac{ - 5 \times 2}{2} - \dfrac{1}{2} \\ \\ \rm 2 (-5) = -10: \\ \rm \longrightarrow \dfrac{ - 10}{2} - \dfrac{1}{2} \\ \\ \rm \dfrac{ - 10}{2} - \dfrac{1}{2} = \dfrac{ - 10 - 1}{2} : \\ \rm \longrightarrow \dfrac{ - 10 - 1}{2} \\ \\ \rm -10 - 1 = -11: \\ \rm \longrightarrow - \dfrac{11}{2} [/tex]
I WILL MARK BRAINLIST
Answer:
The answer is D
Step-by-step explanation:
Nancy invested $750 per month in a 401k that earned 6% annual return for 30 years. Alex
invested $1,500 per month in a 401k that also earned 6% annual return, but for 15 years. Which
of the following would be true?
Nancy's balance would be greater than Alex's in the end.
O Nancy's balance is $4,308 and Alex's balance is $3,595.
O Alex's balance would be greater than Nancy's in the end.
The investment and balance would be the same in the end.
Answer:
A and BStep-by-step explanation:
Nancy's balance:
750*(1 + 0.06)^30 = $4308 rounded to whole numberAlex's balance:
1500*(1 + 0.06)^15 = $3595 rounded to whole numberOptions:
A. Nancy's balance would be greater than Alex's in the end.
CorrectB. Nancy's balance is $4,308 and Alex's balance is $3,595.
CorrectC. Alex's balance would be greater than Nancy's in the end.
IncorrectD. The investment and balance would be the same in the end.
IncorrectHELP ME!!
The number of tiktoks celia can make varies directly with the numbers of hours she spends making them. She can make 8 tiktoks in 1/2 an hour. How many tiktoks can she make in 3 hours?
Answer:
She can make 48 in 3 hours.
Step-by-step explanation:
Step-by-step explanation:
3*1/2=equivalent to an hour and 5 minutes which she would do would be about 48
z varies jointly with y and the square of x.If z= 252 when y= -7 and x= -3 , find z when x = -2 and y= 2
Answer:
z varies jointly with y and the square of x.If z= 252 when y= -7 and x= -3 , find z when x = -2 and y= 2
HELP ME PLZZZZZZZZZZ I WILL GIVE MORE POINTS AT THE END
Answer: the answer is u [tex]\geq[/tex] 2
You can run 10 miles in 80 minutes. How far can you run in 2.5 hours?
Answer:
18.75 miles
Step-by-step explanation:
1 hour = 60 minutes
2.5 Hours = 150 minutes
10 miles _____> 80 minutes
x_______> 150 minutes
x= ( 150 * 10) / 80
= 1500/80
x= 18.75 miles
easy
Answer:
Step-by-step explanation:
10 miles- 80 minutes
?- 150 minutes
1500+80x
X= 10.75 miles
Find the equation of the line parallel to y=3x+5 that passes through (0,4) y=3x+4
Determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting. y = - 2x + 7 6x + 3y = 1 Choose the correct answer below. coinciding O only intersecting O parallel O perpendicular
Answer:
Intersecting
Step-by-step explanation:
In regard to exercise, which of the following statements about safety consideration is correct?
A.
In hot weather, exercising between 10 a.m. and 4 p.m. is best.
B.
Exercising at 100% of your maximum heart rate is best.
C.
Exercising one hour before eating is best.
D.
Remaining well-hydrated while exercising is best.
Answer:
its D just took the test
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
y=x+5 and y=3x-3 I need to get this in a ordered pair
9514 1404 393
Answer:
(x, y) = (4, 9)
Step-by-step explanation:
Perhaps the ordered pair you want is the one that satisfies both equations.
We can find that by equating the expressions for y:
x +5 = 3x -3
8 = 2x . . . . . . . . add 3-x to both sides
4 = x . . . . . . . . . divide by 2
y = 4+5 = 9
The ordered pair is (x, y) = (4, 9).
find if the series converges conditionally, converges absolutely, or diverges ∑k=1 ∞ (k^2k 3^k)/k!
Answer:
Diverges
Step-by-step explanation:
Using the ratio test to test the series:
find the missing value for each of the following 3 questions
1. 5% of 60 is _____
2. 40% of 500 is _____
3. 75% of 60 is ______
Answer:
1. 3
2. 200
3. 45
Step-by-step explanation:
Ricky Bobby wants to buy a new automobile for $55,000 in 8 years. How much money must Ricky's original investment be if he makes a single deposit into an account with monthly compounding and an annual interest rate of 3.90% in order to reach his goal? Round your answer to the nearest cent.
Answer:
PV= $40,279.36
Step-by-step explanation:
Giving the following information:
Number of periods= 8*12= 96 months
Interest rate= 0.039/12= 0.00325
Future value (PV)= $55,000
To calculate the initial investment, we need to use the following formula:
PV= FV/(1+i)^n
PV= 55,000 / (1.00325^96)
PV= $40,279.36
The Jones family has a monthly income of $6,500. The budgeted the following: Retirement savings $700, Emergency savings $550, and Housing expenses $1,300. Which of the following shows the percentage of income used for housing expenses
Answer:
1867
Step-by-step explanation:
took the test
Wait so add 25.50 +25.50
5+5 is what i can not even get it is hard
Answer:
Step-by-step explanation:
10 plzz give me brainliest see ya
I NEED ANSWER ASAP PLEASE
NEED HELP
What is the chance of rolling two dice and the dice add up to six?
around 13% chance
Step-by-step explanation:
Lisa and Rachel want to determine their muscular endurance, but they don't have access to a gym or any weight-lifting equipment. What can they use?
A.
maxing out method
B.
percent of 1 RM method
C.
calisthenic method
D.
absolute method
Answer:
C- calisthenic method
Step-by-step explanation:
In the absence of the weight-lifting equipment, it is also possible to measure the muscular endurance by the use of the calisthenic method.
What is muscular endurance?The term muscular endurance has to do with the ability of a muscle to undergo a strenous activity repeatedly without being fatigued. It is common to measure muscular endurance by the use of weight-lifting equipments.
In the absence of the weight-lifting equipment, it is also possible to measure the muscular endurance by the use of the calisthenic method.
Learn more about calisthenic method: https://brainly.com/question/13037898
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help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).
Answer:
(x + 8)(x - 2)(4x - 1)
Step-by-step explanation:
Given that x = - 8 is a zero then (x + 8) is a factor
Divide f(x) by (x + 8) using Synthetic division
- 8 | 4 23 - 70 16
↓ - 32 72 - 16
---------------------------------
4 - 9 2 0
Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)
Thus
f(x) = (x + 8)(x - 2)(4x - 1)
You deposit $480 each week into an account earning 4.5% interest compounded weekly.
a) How much will you have in the account in 30 years?
b) How much total money will you put into the account?
c) How much total interest will you earn?
Answer:
Result:
The amount is $7763.37 and the interest is $4263.37.
Step-by-step explanation:
Problem:
If you deposit $3500 into an account paying 10% annual interest compounded monthly , how much money will be in the account after 8 years?
I WILL GIVE BRAINLIEST!!
Answer:
35
Step-by-step explanation:
The perimeter of a triangle is 17x-5 units. One side is 3.x + 5 units and another is 8x-3 units. How many units long is the third side?
Answer:
C = 6x - 7 units
Step-by-step explanation:
Let the three sides of the triangle = A, B, and C respectively.
Given the following data;
Perimeter of triangle, P = 17x-5 units
Side A = 3x+5 units
Side B = 8x-3 units
To find side C?
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
P = A + B + C
Making "C" the subject of formula, we have;
C = P - A - B
Substituting into the equation, we have
C = 17x - 5 - (3x + 5) - (8x - 3)
C = 17x - 5 - 3x - 5 - 8x + 3
Collecting the like terms, we have;
C = 17x - 3x - 8x - 5 - 5 + 3
C = 6x - 7 units
Therefore, the third side is 6x - 7 units long.
69 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
given to the second-place finisher, and a bronze medal is to be given to the third-place finisher.
Assume that there are no ties. In how many possible ways can the 3 medals be distributed?
Answer:
The order of finishing is important here, therefore you use permutations rather than combinations. Athlete A winning a gold medal, athlete B silver, and athlete C bronze is not the same as athlete A bronze, athlete B silver and athlete C gold for instance
69P3 = 69! / (69 -3!)
Step-by-step explanation:
What is the y-intercept of y= 1/5x - 3
Answer:
-3
Step-by-step explanation:
Slope-intercept form:
y = mx + b
y = 1/5x - 3
m = slope = 1/5
b = y-intercept = -3
Write 50,000+1,000+200+60+3 in standard form
8,900 incoming freshman to a university take an entrance exam, with the top 10% being offered admission to the university's honors program. The average test score is 78%, with a standard deviation of 11%. Use a calculator to find what the student must score to be invited to join the honors program if only 65 scores are looked at to determine the honors admissions requirement.
Answer:
The student must score 79.75% to be invited to join the honors program.
Step-by-step explanation:
Let X denote the score of a freshman in the entrance exam.
It is provided that the average test score is 78%, with a standard deviation of 11%.
It is provided that the top 10% being offered admission to the university's honors program.
Let x denote the score eligible for being offered admission to the university's honors program.
Then, P (X ≤ x) = 0.90.
Then P (Z < z) = 0.90.
The corresponding z-score is, 1.28.
*Use a z-table.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n}}\\\\1.28=\frac{x-78}{11/\sqrt{65}}\\\\x=78+(1.28\times \frac{11}{\sqrt{65}})\\\\x=79.75\%[/tex]
Thus, the student must score 79.75% to be invited to join the honors program.
∠2 is congruent to angle?
a.) ∠3 w
b.)∠4 N
Answer:
Angle 2 is congruent to angle 4.
Step-by-step explanation:
A straight line equals 180 degrees. If the angle is not a right angle (90 degrees), two angles next to each other on the same line can not be equal. That is why angle 3 is not the answer.
Angle 3 = Angle 1 ; Angle 2 = Angle 4
Angle 1 + Angle 2 + Angle 3 + Angle 4 = 360 degrees
I hope this helped you! If it did, please consider rating my answer, pressing thanks, and marking as Brainliest. Have a great day!
Please help me with all 3, I will mark brainliest as long as u tell me how u got those answers
1- (2,7) x values are not repeated
2-(3,4) bc the x none of the x values are the same, so it makes a function
3-(7,1) the same ^^
$6,000 is invested in an account at interest rate r, compounded continuously. Find the time (in years) required for the amount to double when r= 9.5% and when r=2.5%.
Answer: When r= 9.5% , time = 7.3 years
When r= 2.5% , time = 27.7 years
Step-by-step explanation:
Exponential equation for compounded continuously:
[tex]A=Pe^{rx}[/tex] , where P= Principal value invested , r= rate of interest, x= time
Given : P= $6,000
A = 2P= 2 ($6,000) = $12,000 (i)
When r= 9.5%= 0.095
[tex]A= 6000e^{0.095x}[/tex] (ii)
From (i) and (ii)
[tex]6000e^{0.095x}=12000\\\\\Rightarrow\ e^{0.095x}=2\\\\\Rightarrow\ \ln e^{0.095x} =\ln 2\\\\\Rightarrow\ 0.095x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.095}=7.296284210\approx7.3 \text{ years}[/tex]
For r= 2.5% = 0.025
[tex]6000e^{0.025x}=12000\\\\\Rightarrow\ e^{0.025}=2\\\\\Rightarrow\ \ln e^{0.025x} =\ln 2\\\\\Rightarrow\ 0.025x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.025}=27.72588\approx27.7 \text{ years}[/tex]
