Answer:
He needs to deposit N76800 now.
Step-by-step explanation:
The amount of money is compound interest after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial amount of money invested and r is the interest rate, as a decimal.
25% compound interest so that after 3 years to buy a car for N150000.
This means that:
[tex]t = 3, P(t) = 150000, r = 0.25[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = P(0)(1+0.25)^t[/tex]
[tex]P(t) = P(0)(1.25)^t[/tex]
[tex]150000 = P(0)(1.25)^3[/tex]
[tex]P(0) = \frac{150000}{(1.25)^3}[/tex]
[tex]P(0) = 76800[/tex]
He needs to deposit N76800 now.
Find the degree of the monomial.
8b^7c^2
The degree of the monomial is?
Answer:
49c2
Step-by-step explanation:
SOMEONE HELP I NEED TO PASS
Georgia is 7 years younger than 5 times the age of her daughter, Veronica. Veronica will be 14 in 6 years. Part A
Write and evaluate an expression to show Veronica’s age.
Enter the correct answers in the boxes.
Answer:
Veronica's age now =8 years
Step-by-step explanation:
Veronica's age now = x years
Georgia's age now = 5x - 7
Veronica age after 6 year = 14
x + 6 = 14
x = 14 - 6
x = 8 years
The student council at mountain view high school plans to conduct a survey to determine the student body's opinion of the new lunch menu. Which of the following sampling methods would be most likely to result in UNDERCOVERAGE bias?
A. Setting up a booth in the lunchroom where students can give their thoughts
B. Obtaining an alphabetical list of all students and surveying every 10th student
C. Handing out a questionnaire to seniors only
D. Handing out a survey to the first 50 students entering the cafeteria at lunch
Answer:
c
Step-by-step explanation:
just did it on a.pex
anyone?............
[tex] \frac{132 }{2?} = 66[/tex]
How many triangles can be constructed with angles measuring 50°, 90°, and 40°?
A.one
B.none
C.more than one
can someone help me please
Answer:
1.36
2.4
3.-11
4.2
5.-20
Solve this equation 1/4 x 10?
Answer: 2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Have a great day :)
88=66+7-5x89 this question makes no scence
Answer:
x = -3/89
Step-by-step explanation:
What is the range of possible sizes for side x?
Answer:
Your answer is
1/2 <x<8
as per triangular rules
Hope that this is helpful. Tap the crown button, Like & Follow me
math nation section 7
which question do you need help with?
Answer:
I don't understand the ques?
Step-by-step explanation:
Find the coordinate point for D that would make ABDC a rhombus.
coordinate plane with points A 2 comma 2, B 3 comma 4, and C 4 comma 1
(5, 4)
(5, 2)
(5, 3)
(3, 0)
Answer: The correct answer is (5, 3)
Step-by-step explanation: I got it right on the exam
(5,3) will make a rhombus.
What is Rhombus?A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.
How to solve?Let D have coordinate (x,y)
The length of all the sides of the rhombus is equal.
length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]
Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)
CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)
We know BD = CD gives,
[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]
By squaring both sides and solving we get,
3y - x = 4 ----------------------(3)
Since BCD is a right-angled triangle,
[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]
BC = [tex]\sqrt{10}[/tex]
10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]
8 = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)
solving equation (3) and (4) we get x = 5 and y = 3
TO Learn more about Rhombus visit:
https://brainly.com/question/2456096
#SPJ2
Subtract 3x^2+8x3x 2 +8x from -9x^2+3x-8−9x 2 +3x−8.
Answer:
x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i
Step-by-step explanation:
The number of tadpoles in a particular pond on March 1st of any particular year is Pn the population is modelled by the interactive formulae
The population is modelled by the interactive formulae Pn+1 = k(Pn+60)
Answer:
get them googel
Step-by-step explanation:
Lauren has a purse full of dimes and quarters. She has 25 less dimes than quarters. If she has a total of $10.45, which system of equations would she write to find the number of dimes, d and quarters, q?
Answer:
D(0.10) + Q(0.25) = 10.45
Q = D + 25 (or Q - D = 25)
Step-by-step explanation:
D = number of dimes
Q = number of quarters
D(0.10) + Q(0.25) = 10.45
Q = D - 25 (or D - Q = 25)
We multiply the number of dimes she has by $0.10, because that is the worth of each dime, and we multiply the number of quarters she has by $0.25 because that is the worth of each quarter. We then set that equal to $10.45, the overall value of her coins.
Because she has 25 less dimes than quarters, the number of dimes she has should be 25 less than the number of quarters she has. So the number of quarters she has should be equal to the number of dimes she has plus 25.
HELP FAST FAST FAST PLS ILL LOVE YOU FOREVER <3
Mr. Lewis showed his friend part of the prime factorization of 70. Fill in the missing factor.
2 x _ x 7
Answer:
5
Step-by-step explanation:
2x5x7=70
A cuántos metros equivalen 92 kilómetros?
Answer:
92000
Step-by-step explanation:
Answer:
92,000
Step-by-step explanation:
1 km=1000 m
So 1 km×92= 92 km
But 1000 m×92= 92,000 m
Suppose 88% of all batteries from a supplier have acceptable voltages. A certain type of flashlight requires two D batteries, and the flashlight will work only if both its batteries have acceptable voltages. Treat all batteries and flashlights as independent of one another. Suppose 20 randomly selected batteries are placed into 10 flashlights. What is the probability that at least 9 of the flashlights function properly
Answer:
0.3036 = 30.36% probability that at least 9 of the flashlights function properly.
Step-by-step explanation:
For each flashlight, there are only two possible outcomes. Either it works, or it does not. Flashlights are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Flashlight works correctly if both its batteries have acceptable voltages:
Each battery has an 88% = 0.88 probability of working correctly(having acceptable voltage), so the probability of the flashlight working correctly is given by:
[tex]p = (0.88)^2 = 0.7744[/tex]
10 flashlights.
This means that [tex]n = 10[/tex]
What is the probability that at least 9 of the flashlights function properly?
This is
[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{10,9}(0.7744)^{9}.(0.2256)^{1} = 0.2260[/tex]
[tex]P(X = 10) = C_{10,10}(0.7744)^{10}.(0.2256)^{0} = 0.0776[/tex]
[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.2260 + 0.0776 = 0.3036[/tex]
0.3036 = 30.36% probability that at least 9 of the flashlights function properly.
Solve for X
2x - 8 = 30
Answer:
x=19
Step-by-step explanation:
2x - 8 = 30
get x by itself by adding 8 to both sides
2x=38
divide by 2
x=19
Blake bought a new set of golf clubs. He found them at Golf Pro for $270. If the store is offering 20% off how much are the new clubs?
Answer:
216
Step-by-step explanation: 270-20%= 216
pls help soon make it in like 3 mins or less pls
Your bill at a restaurant was for $36. You want to leave a 15 % tip. What would the tip amount be?
$5.40
$6.20
$4.17
$2.40
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
105
Step-by-step explanation:
A straight line is 180 degrees so 180-75=105
Answer:
x= 105 degrees
Step-by-step explanation:
We know that the sum of x and 75 degrees is equal to 180 degrees.
So that means that x= 180-75 or x=105 degrees
What is The least common denominator of 11/12, 7/9, and 2/3
Answer:
261?
Step-by-step explanation:
LCD = 261
Equivalent Fractions with the LCD
11/29 = 99/261
7/9 = 203/261
2/3 = 174/261
Giving brainliest I only have 1 try please give out correct answer:)
If you make x dollars per hour and you work 8 hours, how much money will you make?
It’s due late tonight can some pls help me pass
un abuelo dijo a su nieto mira que curioso tu edad es la quinta parte de la mia pero también es igual a la tercera parte de mi edad menos diez años ¿cuántos años tiene el nieto y el abuelo?
¿Puedo conseguir la corona? y el abuelo tiene cincuenta y ocho años
A Redbox movie costs $1.50. Redbox charges $1 per day for late movies. If Henry's movie is 3 weeks late, how much money does he owe for his movie?
Answer:
$22.50
Step-by-step explanation:
3 weeks = 21 days
21 × 1 + 1.50
21 + 1.50
22.50
A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of times.
Step-by-step explanation:
We have these following percentages:
Seventy percent of the time the spyware arrives via the internet, and in this case is detected 60% of the time.
Thirty percent of the time the spyware arrives via e-mail, and in this case is detected 80% of the time.
What percentage of times is this spyware detected
0.7*0.6 + 0.3*0.8 = 0.66
This spyware is detected 66% of times.