The interest rate on the account would be 0.4.
What is compound interest?
The interest earned on savings that is computed using both the original principal and the interest accrued over time is known as compound interest.
Compound interest
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
Where,
A = amount,
P = principal
t = no. of years
r = annual interest rate
n = no of times compounded in a year.
By putting the values in the equations we get,
[tex]5067=4890(1+\frac{r}{10} )^{8.3}\\[/tex]
Solving this, we get
[tex]r = 0.356[/tex]
Rounding off to the nearest tenth of a percent we get
[tex]r=0.4[/tex]
Hence, the interest rate on the account will be [tex]0.4[/tex].
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Help Please!!!
Direct and Inverse Variations
aₙ=a+(n-1)d is the formula can be used to find the nth term of the sequence.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given sequence is 5,9,13,17,21
Five comma nine comma thirteen comma seventeen comma twenty one.
We need to find the nth term of the sequence.
Firstly we need to find the sequence is AP or GP.
An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same.
so 9-5=4,
13-9=4
Hence the sequence is a Aritmetic sequence.
In arithmetic sequence the nth term can be find by using the formula
aₙ=a+(n-1)d
where a is first term and d is common difference.
Hence aₙ=a+(n-1)d is the formula can be used to find the nth term of the sequence.
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the hire purchase price for a refrigerator is 6500 a deposit of 500 is made and the remainder is paid in equal monthly payments of $250 calculate the number of month that the payments must be made
If the remainder is paid in equal monthly payments of $250. the number of month that the payments must be made is 24.
How to find the monthly payment?First step is to find the remainder after down payment
Remainder = 6500-500
Remainder = 6000
Now let find the number of monthly payment
Number of monthly payment = Remainder / Monthly payment
Number of monthly payment = 6000 / 250
Number of monthly payment = 24
Therefore the monthly payment is 24.
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Help me, please!!!!!!!!!
Answer:
Step-by-step explanation:
firstv= block second one
secondblock third one
and so on
13 is 6 1/2% of what number?
Answer:
200
Step-by-step explanation:
During 75 days, rain fell on 3/5 of the day. On how many days did rainfall?
Answer:45
Step-by-step explanation:
75*3/5
Q1 Q2 Logic puzzles
Solve the problems.
3 paintings are for sale.
Painting A is three times the
price of painting B.
Painting B is half the price of
painting C.
Painting C costs £368.
What are the prices of paintings
A and B?
Painting A = £ I
Painting B = £
Step-by-step explanation:
so basically, because Painting C costs £368 and Painting B is half that cost, Painting B costs £184. And Painting A is three times that amount Painting A costs £552.
You're Welcome ♡.
what do you add to 5 8/9 to make 7
Quadrilateral EFGH is similar to quadrilateral IJKL. Find KL. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
59
H
13
E
27
F
G
I
L
X
K
Answer:
x=81
steps
From the concept of similarity
3EH = ILhence, 3HG = KL3(27) = KLKL = 81Find the solution of the system of equations.
−10x+2y=−32
-2x-2y=−16
The solution of the system of equations are x = 4 and y = 4.
What are the solutions?The system of equations would be solved using the elimination method.
−10x+2y=−32 equation 1
-2x-2y=−16 equation 2
In order to determine the value of x, take the following steps:
Add equation 2 and equation 1 together
-12x = - 48
Divide both sides of the equation by -12
x = -48 / - 12
x = 4
In order to determine the value of y, substitute for x in equation 1:
-(10 x 4) + 2y = -32
-40 + 2y = -32
Combine similar terms:
2y = -32 + 40
Add similar terms:
2y = 8
Divide both sides of the equation by 2
y = 8 / 2
y = 4
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Which of the following functions does not have
zeros at - 1 and 47.
A.f(x)=x²-3x-4
B. f(x) = 2x² + 6x - 8
C. f(x) = -x² + 3x +4
D.f(x) = 2x² - 6x-8
Answer:
B
Step-by-step explanation:
f(-1)=(-1)²-3(-1)-4
f(-1)=1-3(-1)-4
f(-1)=1+3-4
f(-1)=0
Do this same process with all the equations until you find one that doesn't equal 0.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
The total number of pages that he read will be 210 pages.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Based on the equation given, the equation to represent Amir's information will be:
y = 35 × x
y = 35x
Jesse's equation will be:
y = 30(x + 1)
Then, we'll equate both equations together. This will be:
35x = 30(x + 1)
35x = 30x + 30
35x - 30x = 30
5x = 30
x = 30/5
x = 6
Therefore, the number of pages read will be:
y = 35x
y = 35 × 6
y = 210 pages.
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11 student are in a waitlist for a course. two of the students in the list are named ed and ned. how many different ways are there for the students to be ordered in the list so that ed is higher in the list than ned?
The different ways that are there for the students to be ordered in the list so that Ed is higher on the list than Ned is 19,958,400
In the order, if Ned comes first on the list then Ed will not be on the list before Ned. (remember for Ed to be higher than Ned on the list, it should come after Ned on the list).
So if Ned is first on the list, then all the remaining (including Ed) can occur anywhere in the remaining list. Hence the total permutations will be 10!
Ned's corresponding choices: 1 109 8 7 6 5 4 3 -2 1
If Ned comes in the second position, then Ed can't come in the first position. Hence in the first position, there are only 9 choices.
*(excluding Ed) Ned * corresponding choices:
= 9*9!
*(including Ed (including Ed) Ned corresponding choices: *k
= 9*8*8!
Total combinations will be:
10! + 9*9! + 9*8*8! + 9*8*7*7! + 9*8*7*6*6! + 9*8*7*6*5*5! + 9*8*7*6*5*4*4! + 9*8*7*6*5*4*3*3! +9*8*7*6*5*4*3*2*2! + 9*8*7*6*5*4*3*2*1*1! .
= 19,958,400
We can directly compute it. Since there will be a total of 11! combinations in which 11!/2 times Ed comes after Ned and 11!/2 times Ed comes before Ned.
and 11!/2 = 39,916,800/2 = 19,958,400
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the larger the sample size, the better will be the normal approximation to the sampling distribution of sample mean.
As sample size grows, sample variance (variation among observations) grows, while sample mean variance (standard error) decreases, and therefore precision grows.
Define the term normal approximation?The normal curve approximates the sample distribution of averages as well as proportions from just a large number of distinct experiments.
The population value corresponds to the assumption of a sample fraction or average.Because summing big values might be cumbersome or impossible with certain discrete distributions, such as the Binomial or Poisson distributions. The Normal Distribution, thankfully, provides us to approximation the probability for random variables which would otherwise be impossible to quantify.Thus, the better the normal approximation here to sampling distribution for sample mean, the greater the sample size.
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To rent a taxi in Philadelphia, the taxi service charges a flat rate of
$35.80 and an additional $5.60 per mile driven. Write an equation
in slope-intercept form where x represents the distance of the trip,
and y represents the amount the taxi service would charge to drive
that distance.
Please I need help badly
Answer:
y = 5.60x + 35.80
Step-by-step explanation:
trust
18. Which of the following are solutions to the equation 19.
-11x = 2x² +15? Select all that apply.
x²
a. -5
b. -3
c. -5/2
d. 5/2
e. 3
f. 5
The solutions to the given equation are -5/2 and -3. These answer can get after using quadratic formula.
How can find solution using quadratic formula ?The quadratic formula is a formula that offers a quadratic equation's solution. In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.
In the literature, there are numerous ways to derive the quadratic formula. The common one uses the completing the square method in a straightforward manner.
The given equation is :
-11x = 2x² +15
Move terms to the left side
-11x -(2x^2 +15) =0
Rearrange terms
-2x^2 - 11x -15 = 0
Common factor
-(2x^2+ 11x +15) =0
Divide both sides by the same factor
2x^2 +11x +15 =0
Use the quadratic formula
x = -11 ± √11² - 4 * 2*15/2*2
x =-11±1/4
Solve
x = -5/2
x= -3
The value of x will be -5/2 or -3.
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On a photograph an ant is enlarged at a scale 25:1. In the photo, the ants leg is 15 cm. What is the actual length of the ants leg?
Answer:
0.6cm
Step-by-step explanation:
25 : 1
1 : 0.04
15 : 0.6
HELPPPP I'm so confused!!! 60 POINTSSSS!!!
Answer:
que tienes que realizar no se entiende tu pregunta lo siento
Diana recorded the total number of people living in each of the homes of 8 classmates. Which of the following values could be the median of those 8 numbers?
I. 0.0
II. 3.0
III. 4.5
Answer:
The answer is III: 4.5
Step-by-step explanation:
It's not the first option since there has to be more than one person living in those houses. It's not the second since 3 is greater than 0, and median is in order from least to greatest. It's three since it's reasonable and is in order from least to greatest.
a medical device company knows that 11% of patients experience injection-site reactions with the current needle. if 4 people receive injections with this type of needle, what is the probability that none of the 4 people get an injection-site reaction?
With the help of probability we can conclude our answer.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
Given: The proportion of patients experience injection-site reactions with the current needle : p=0.11Sample size : n= 4Let x be a binomial random variable that represents the people get an injection-site reaction.Binomial probability formula: The required probability : P(x=0)learn more about probability click here:
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-2x+5=23 what is x i dont know how to find it
Answer:
x=-9
Step-by-step explanation:
-2x+5=23
-5 on both sides
-2x=18
/-2 on both sides
x=-9
I need help like asap !!!
only numbers and decimal points
Answer:
24.41
Step-by-step explanation:
a^2+b^2=c^2
14^2+20^2=c^2
196+400=596
14^2+20^2=24.41^2
which is a net for this triangular prism
Answer:
this One...............
given a normal distribution with a mean of 50 and standard deviation of 5, what percent of the values are between 40 and 60? enter answer as a percent with no decimals.
For the given normal distribution, 95% of the values lie between 40 and 60.
Let the said distribution be X
Here it is given that X follows a normal distribution and it has a mean of 50 and a standard deviation of 5.
Therefore we can write X~ N(50, 25)
Now we need to find P(40< X< 60)
= P(40< X< 60) = P(X < 60) - P(X<40)
To find this we need to convert it into the form of a standard normal and then look up the p-values from the Z-table.
To do this we need to use the formula
P(X < x) = Φ[(x - μ) / σ]
where,
μ is the mean
σ is the standard deviation
Therefore we get
P(X < 60) - P(X<40) = Φ[(60 - 50) / 5] - Φ[(40 - 50) / 5]
= Φ[2] - Φ[-2]
Φ(-x) = 1 - Φ(x)
Therefore,
Φ[2] - Φ[-2]
= 2Φ(2) - 1
We get the p-value
2 X .97725 - 1
= 1.9545 - 1
= 0.9545
= 95% (approx)
Hence 95% of the values are between 40 to 60.
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name the place value of highlighted digits 879.8687
Please can someone answer this question it would be much appreciated
Thanks so much :)
I need help too on this one
Answer:
you lowest tempeture in the mesosphere is -96
Step-by-step explanation:
Noah runs a farm stand that sells bananas and raspberries. Each pound of bananas
sells for $3 and each pound of raspberries sells for $2.25. Noah made $72 from
selling a total of 28 pounds of bananas and raspberries. Graphically solve a system of
equations in order to determine the number of pounds of bananas sold, a, and the
number of pounds of raspberries sold, y.
There is no possible solution for the weight of raspberries sold, given that 28 pounds of banana were sold.
What is Co-ordinate Geometry?
Graphs and coordinates are utilised in coordinate geometry to discover information about various geometric figures. A description of the coordinate plane must be included in a definition of coordinate geometry. A coordinate plane, also known as a coordinate graph, is a grid system formed by the intersection of two number lines known as axes. The x-axis is the horizontal number line, and the y-axis is the vertical number line. These axes meet at a position known as the origin.
Solution:
let, the total weight of banana sold be x pounds
and total weight of raspberries soldd be y pounds.
From the data given in the question, the equation formed is
3x + 2.25y = 72
(See Graph)
at x = 28 we will get the value of y as -5.34
which is not a possible solution
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Graph the linear function.
f(x) = 3x + 4
The graph of the linear function f(x) = 3x + 4 is plotted.
Define the term linear function?To find a linear function, we utilise the slope-intercept form or even the point-slope form.If the function's details are presented in its algebraic form, then f(x) = mx + b designates a linear function. Instead, to check if the data presented in table style reflects a linear function:Get the x-value variations.Get the y-value differences.Determine that there is a steady correspondence between the difference in y values and the difference in x values.For the given question, the function is given as;
f(x) = 3x + 4
Put x = 0, f(x ) = 4 ;(0, 4)
Put f(x) = 0, x = -1.33 ;(-1.33, 0)
Plot the points of the coordinate axis as shown in the graph.
Thus, the graph of the linear function f(x) = 3x + 4 is plotted.
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Please help me solve as soon as possible
Using the given expression, the number of tiles Mr. Grants will need to buy is 48
Solving an expression to determine the number of tilesFrom the question, we are to use the given expression to determine the number of tiles Mr. Grant would have to buy
From the given information,
The given expression is,
27 ÷ s²
and
Mr. Grants decides to buy square tiles that have side lengths of 3/4 foot
That is,
s = 3/4
Now,
Using the given expression
27 ÷ s²
We get
27 ÷ (3/4)²
27 ÷ 9/16
= 27 × 16 / 9
= 3 × 16
= 48
Hence, he will need to buy 48 of the tiles
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A (8,4)
B (4,3)
C (4,-9)
D(2,-1)
please explain your answer!!!
Neither.
Parallel lines (when the line continues), never intersects. Perpendicular lines intersect and create a 90 degree angle.
The angle created by the lines intersect but do not create a 90 degree angle.
PLEASE HELP I REAALLY NEED HELP!
The domain of the exponential function in this problem is given as follows:
0 ≤ n ≤ 5.
How to obtain the domain of the exponential function?The exponential function in this problem is defined by the rule presented as follows:
g(n) = 10(1.02)^n.
In which the variables are listed as follows:
n is the number of days.g(n) is the height of flower after n days.When the study was finished, the height of the flower was of 11.04 inches, hence the day at which the study was finished is obtained as follows:
10(1.02)^n = 11.04
(1.02)^n = 11.04/10
log[(1.02)^n] = log(11.04/10)
Applying the logarithm of power property, we have that:
nlog(1.02) = log(11.04/10)
n = log(11.04/10)/log(1.02)
n = 5.
The domain is the number of days for which the student was realized, hence:
0 ≤ n ≤ 5.
As the number of days cannot assume negative values.
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