When Sebastian left his house in the morning, his cell phone battery was partially
charged. Let B represent the charge remaining in Sebastian's battery, as a
percentage, t hours since Sebastian left his house. The table below has select values
showing the linear relationship between t and B. Determine how much battery life
Sebastian's phone would have 4 hours after leaving his house.
t
B
1
36
2.5
31.5
5
24
when its comes to interest,most CDs will allow which of the following options?
a. Unlimited withdraws of interest
b. Periodic interest payout
c. loans against principal
d. Withdrawal of principal
When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.
A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.
However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.
While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.
Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.
So, correct option is B.
To learn more about interest click on,
https://brainly.com/question/12456231
#SPJ1
find the GCF and LCM of 2 and 4
Answer:
Therefore, the LCM of 2 and 4 is 4.
Step-by-step explanation:
Let the other number be m.
∵ GCD × LCM = 2 × m
⇒ m = (GCD × LCM)/2
⇒ m = (2 × 4)/2
⇒ m = 4
Therefore, the other number is 4.
Answer:
GCF=2
LCM=4
Step-by-step explanation:
QUESTION 4 4.1 Translate each of the following into a mathematical equation: 4.1.1 If we multiply a number by four and then add six, the answer is 42 4.1.2 If we divide a number by three and then add seven, the answer is twenty (2) (2)
When each of the following mathematical equations are translated, the following is gotten;
4 4.1 = 4x+6
4 4.2 = X/3+ 7
How to translate the given statement into mathematical equations?To translate the given statement into mathematical equations, the following steps should be taken.
The first statement;
multiply a number by four and then add six. Let the unknown number be = X
That is ; 4(x)+6
The second statement;
divide a number by three and then add seven.
That is; X/3+ 7.
Learn more about fraction here:
https://brainly.com/question/30154926
#SPJ1
What is the effective annual rate for an APR of 10.60 percent compounded quarterly?
Answer:
The effective annual rate is 11.03%
Step-by-step explanation:
The effective interest rate is calculated through the formula:
\(r = (1 + i/n)^n - 1\)
In this formula, r represents the effective interest rate, i represents the stated interest rate or APR, and n represents the number of compounding periods per year.
For a quarterly compounded interest, n=4. The APR i=10.60%=0.106
Given an APR r, the effective annual rate for a quarterly compound is:
\(r = (1 + 0.106/4)^4 - 1=1.0265^4-1\)
\(r=1.11029-1=0.1103\)
The effective annual rate is 11.03%
-1.9d + 7 + 4.8d + -1.1d - 1.7d
what is 37 percent of 59052
Answer:21,849.24
Step-by-step explanation:
Exercise #1: The amount of money in Nicole's bank account can be represented by the function f(x) = 32.50x + 200,
where f(x) is the amount of money in dollars after x days. State the meaning of the slope and y-intercept of this function in
the given context
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work. (10 points)
MARKING BRINLIEST AND GIVING A LOT OF POINTS PLSSSS HELP
The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.
Total number of Outfit Combinations:
There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.
No of favourable options:
As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .
Probability = Number of favourable outcomes/Total no. of combinations
Probability = 1/8
Probability = 0.125 or 12.5%
Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
To study more about Probability:
https://brainly.com/question/13604758
https://brainly.com/question/251701
On 1 April mazibane has R540, 00 in his credit card account. He buys a lounge suit for R8300, 00 on credit. There is no interest on the debit amount for the first month. Thereafter the interest is 16% per year calculated daily but compounded monthly. On 1 June Mazibane pays R5000 into the account.
How much must Mazibane pay into the account on 30 June to have no debt in the account
According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.
How to calculate the amount Mazubane must pay on 30 June?To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.
Initial Debt:
On 1 April, Mazibane had a credit card debt of R8300.Interest Calculation:
The interest on the debt is 16% per year, calculated daily but compounded monthly. From 1 April to 1 June, a period of two months, there is no interest charged on the debt.Previous Payment:
On 1 June, Mazibane paid R5000 into the account.To determine the remaining debt on 1 June, we subtract the payment from the initial debt:
Remaining debt on 1 June = R8300 - R5000 = R3300.From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.
To calculate the interest for one month, we use the formula:
Interest = Principal x (1 + (rate/100))^(time/12) - Principal,where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).
Interest for one month = R3300 x (1 + (16/100)/12)^(1/12) - R3300.To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:
Total debt on 30 June = R3300 + Interest for one month.To have no debt on 30 June, Mazibane must pay the total debt amount:
Mazibane must pay R3300 + Interest for one month on 30 June.Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.
Learn more about debt in: https://brainly.com/question/31792485
#SPJ1
can someone help me please?????
Answer:
Step-by-step explanation:
16 cm
21) Kinzang is 1.49 m tall. He was 0.53 m at birth. How much did he grow?
Kinzang grew 0.96 meters.
We have,
To find how much Kinzang grew, we need to subtract his height at birth from his current height:
Height Kinzang grew = Current height - Height at birth
Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m
Therefore,
Kinzang grew 0.96 meters.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
PLZZZZ Hurry I’m in a rush
Answer:
y=10
Step-by-step explanation:
2y+3+9y-7+7y+4=180
18y=180
y=10
Suppose c(p) gives the number of calories burned doing p push-ups, and
p(t) gives the number of push-ups a person can do in t seconds.what is the meaning of the composite function c(p(45)).
The meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds
How to interpret the meaning of the composite function c(p(45))?The functions are given as:
c(p) gives the number of calories burned doing p push-upsp(t) gives the number of push-ups a person can do in t secondsSo, the interpretation of the function c(p(t)) is
The number of calories burned doing push-ups in t seconds
In c(p(45)), the value of t is 45
Hence, the meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds
Read more about composite function at
https://brainly.com/question/10687170
#SPJ1
Elizabeth bought 125 meters of fabric to make a patchwork quilt
. If the fabric was on sale 56.29 per meter, how much di
Elizabeth spend?
Answer:
1 meter = 56.9
multiply 56.9 by 125
answer: 7112.5
Choose the best definition for the following term: variable
Step-by-step explanation:
a variable is a quantity that may change within the context of a mathematical problem or experiment
I hope this was helpful
 Hey guys, I would really appreciate if one of you help me with this question
Answer: 28.25%
Step-by-step explanation:
113/400=0.2825=28.25%
what do you mean by food handling?
what do you understand by untensils?
Provide three quality points for dairy and eggs which indicate quality and freshness? Provide three quality points for dry goods that indicate quality and freshness?
Describe five ways you could increase the nutritional value of classical and contemporary cakes, pastries and bread or their filling?
Answer:
Find the definitions and points below.
Step-by-step explanation:
1. Food Handling refers to any of the stages in the preparation, storage, transportation, packaging, and delivery of food.
2. Utensils are those vessels and tools that are used to carry, cut, stir, and store items and ingredients required in food preparation.
3. Three quality points for dairy and eggs which indicate quality and freshness are;
a. Smell: A decaying and pungent smell indicates a lack of quality.
b. Color: An abnormal color with physical signs of rottenness shows a lack of quality.
c. The sinking test is used to check for the freshness of eggs. If an egg sinks when put in a glass of water, it is a sign of freshness. If it floats, it is an indication of decay.
4. Three quality points for dry goods that indicate quality and freshness:
Moisture: The presence of moisture in dry food shows a lack of quality.
Weight: Heaviness might be an indication that one coconut is better than another.
Texture: A dry food that is sticky might indicate a lack of freshness. Smoothness, crunchiness, hardness, and toughness are other qualities to look out for.
5. Five ways I could increase the nutritional value of pastries include
1. Using fresh ingredients: Fresh ingredients free from contamination will guarantee that foods with good nutritional values are produced.
2. Preparing them in a hygienic environment: A hygienic environment will prevent food poisoning by bacteria and other contaminants.
3. Using proper measurements: When the right measurements are used in the preparation of pastries a balanced snack is produced.
4. Good preservation techniques: The right preservation techniques will prevent food spoilage.
5. Good packaging and wrapping: These will prevent exposure of the food to moisture, rodents, and other unwanted factors. Thus, the nutritional value is preserved.
In the diagram, m∠1=45° and m∠3=57.5°.
What is m∠4?
Enter your answer as a decimal in the box.
Check the picture below.
Answer this for me please
The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
Calculating the function valuesGiven that
f(x) = 2x^2 - 2
g(x) = 4x/(x - 1)
So, we have
f(10) = 2(10)^2 - 2 = 198
g(-6) = 4(-6)/(-6 - 1) = 24/7
The range of h(x)Here, we have
h(x) = (7x - 4)/5x
Where
1 < x < 5
So, we have
h(1) = (7(1) - 4)/5(1) = 3/5
h(5) = (7(5) - 4)/5(5) = 31/25
So the range is 3/5 < h(x) < 31/25
The inverse of p(x)Here, we have
P(x) = (5x - 1)/(3 - x)
So, we have
x = (5y - 1)/(3 - y)
This gives
3x - xy = 5y - 1
So, we have
y(5 + x) = -1 - 3x
This gives
y = -(1 + 3x)/(5 + x)
So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
Read more about functions at
https://brainly.com/question/28532394
#SPJ1
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows:F(x) =0 x < 10.31 1 ≤ x < 30.42 3 ≤ x < 40.46 4 ≤ x < 60.82 6 ≤ x < 121 12 ≤ xa) What is the pmf of X?x 1 3 4 6 12p(x) _____
For the given CDF of X, the pmf of X at 1,3,4,6 and 12 is written as :
P(X = k) = 0.30 for k = 1 , P(X = k) = 0.10 for k = 3,
P(X = k) = 0.05 for k = 4 , P(X = k) = 0.15 for k = 6,
P(X = k) = 0.40 for k = 12.
In order to find the probability mass function (PMF) of X, we need to calculate the probability that X takes on each possible value.
Since X can take on any positive integer value, we can start by calculating the probability that X equals each positive integer.
⇒ P(X = 1) = 0.30,
⇒ P(X = 3) = F(3) - F(1) = 0.40 - 0.30 = 0.10
⇒ P(X = 4) = F(4) - F(3) = 0.45 - 0.40 = 0.05
⇒ P(X = 6) = F(6) - F(4) = 0.60 - 0.45 = 0.15
⇒ P(X = 12) = F(12) - F(6) = 1 - 0.60 = 0.40
Therefore, the required PMF of X is: P(X = 1) = 0.30 , P(X = 3) = 0.10 , P(X = 4) = 0.05 , P(X = 6) = 0.15 and P(X = 12) = 0.40 .
Learn more about PMF here
https://brainly.com/question/18688445
#SPJ4
The given question is incomplete, the complete question is
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments.
The CDF of X is as follows:
F(x) = {0 x < 1
{0.30 1 ≤ x < 3
{0.40 3 ≤ x < 4
{0.45 4 ≤ x < 6
{0.60 6 ≤ x < 12
{1 12 ≤ x
What is the pmf of X at 1,3,4,6 and 12?
If P = 3x² - x + 2 and Q = x² + 5x - 6, then P+ Q =
Answer:
Step-by-step explanation:
If P = 3x² - x + 2 and Q = x² + 5x - 6, then P+ Q = 3x² - x + 2 + x² + 5x - 6 =
4x^2 +4x - 4
D = 16 + 64 = 80
x12 = \(\frac{-4+-\sqrt{80} }{8}\)
Each week she swims a total of 4000 meters. How many kilometers does she swim each week?
Be sure to include the correct unit in your answer.
Answer: make me brainlist please
Step-by-step explanation:0.00175 divided both of them
A random number generator is set to generate integer random numbers between 1 and 10 inclusive following a uniform distribution. What is the probability of the random number generator generating a 7
Answer:
1/10 or 10%.
Step-by-step explanation:
If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.
Find out how much a retirement account based on a principal of $100509 compounded 5% quarterly after 29 years is worth?
Round your answer to 2 decimal places.
The retirement account is worth $424647.577 after 29 years. Rounded to two decimal places, the answer is $424647.577
What is the capital amount with an example?
Capital is the amount you owe at any one time. This is exactly your loan amount if you just took the loan. As you pay EMIs, the principal is reduced and when it reaches zero, your loan is closed.
To calculate the future value of a pension account, we can use the formula:
FV =\(FV = P(1 + r/n)^(nt)\)
where:
FV = Future Value
P = capital (initial amount)
r = annual interest (as a decimal)
n = number of times the interest rate is increased per year
t = time (in years)
In this case, the principal is $100,509, the annual interest is 5%, and the interest is compounded quarterly (4 times a year). The period is 29 years.
So we can plug these values into the formula and get:
FV =\(100509(1 + 0.05/4)^(4*29)\)
FV = 100509(1.0125)^116
FV = 100509 (4.22497)
FV = $424647.577
Therefore, the value of the retirement account after 29 years is $ $424647.577 Rounded to two decimal places, the answer is $424647.577
Learn more about Capital amount here
https://brainly.com/question/29366488
#SPJ1
First correct answer gets brainliest
Given a line with slope = -4 and y-int= (0, 5), write the equation of the line.
Writing the equation algebraically.
Answer:
\(y=-4x+5\)
Step-by-step explanation:
The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).
What is the additive Inverse of 3 1/4
Answer:
the answer is -3 1/4
Step-by-step explanation:
The additive Inverse of 3 1/4 will be - 3 1/4.
What is inverse of a function?Suppose that the given function is \(f:X\rightarrow Y\)
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'
We are given the number as;
3 1/4 = 13/4
Therefore, the additive Inverse of 3 1/4 will be;
Negative 13/4 = - 3 1/4
Hence, the additive Inverse of 3 1/4 will be - 3 1/4.
Learn more about inverse here:
https://brainly.com/question/19425567
#SPJ5
What’s a good fraction calculator on chrome that can do fractions devided by whole numbers? I want to use it to practice my fractions and memorize them
Step-by-step explanation:
just look up a fraction calculator and some should come up abd they'll help you
Question... factor 28+4x
Answer:
4(7 + x)
Step-by-step explanation:
28 + 4x
4 ⋅ 7 + 4x
4(7 + x)
good luck hope this helps :)
Find the greatest common factor for the terms involved in the polynomial.
In this case, the greatest common factor between 28 and 4 is 4.
So a 4 factors out of this polynomial.
That leaves us with each term divided by 4
inside a set of parentheses.
So we have 4(7 + x).
Now you can check your answer by distributing the 4 through
the parentheses and you will end up with your original polynomial.
If there are two yellow pencils and three blue pencils in a box, what is the
probability that a blindfolded person would pick a blue pencil?
Answer:
there is a 60% chance they pick a blue pencil