Answer:
8/9
Step-by-step explanation:
after simplifying it using factorisation, simplification and division.
A primary credit card holder has a current APR of 15.75%. What is the monthly periodic interest rate, rounded to the nearest hundredth of a percent?
O 15.75%
O 13.13%
O 1.31%
O 0.01%
the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%
What dοes mοney interest mean?Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.
We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).
Hence, the periοdic interest rate fοr each mοnth is:
15.75% / 12 = 1.3125%
The result οf rοunding tο the clοsest hundredth οf such a percent is:
1.31%
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A borrower wants to take a loan with a maximum effective monthly rate of 1%. What is the maximum APR with quarterly compounding that the borrower will accept from a lender?
The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.
How to calculate APR?To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:
\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)
Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:
\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)
APR = (1.0100333³ - 1) x 4
APR = 0.04033 x 4
APR = 0.16132 or 16.132%
Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.
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what is the solution to the system of equations below x 3 y 15 and 4 x 2 y 30 7 2 2 7 4 33 4
After simplification, the solution of this system of linear equation is (6,3).
In the given question we have to find the solution to the system of equations below.
The given equations are:
x+3y=15………………(1)
4x+2y=30………………(2)
Multiply equation 1 by 4, we get;
4x+12y=60………………(3)
Subtract equation (3) and (2)
4x+12y-(4x+2y)=60-30
4x+12y-4x-2y=30
10y=30
Divide by 10 on both side, we get
y=3
Put the value of y in equation 1,
x+3*3=15
x+9=15
Subtract 9 on both side, we get
x=6
So the solution of system of equation is (6,3).
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The Smith family was one of the first to come to the U.S. They had 9 children. Assuming that the probability of a child being a girl is .5, find the probability that the Smith family had: at least 7 girls ? at most 8 girls?
We will have the following:
***Having at least 7 girls:
\(\begin{gathered} P(x\ge7)=\frac{9!}{7!(9-7)!}(0.5)^7(0.5)^{9-7}+\frac{9!}{8!(9-8!)}(0.5)^8(0.5)^{9-8} \\ \\ \Rightarrow P(x\ge7)=\frac{45}{512}\Rightarrow P(x\ge7)\approx0.088 \end{gathered}\)The probability is 45/512, that is approximately 0.088.
***Having at most 8 girls:
\(\begin{gathered} P(x\leq8)=\left(\begin{array}{c}9 \\ 0\end{array}\right)(0.5)^0(0.5)^9+\left(\begin{array}{c}9 \\ 1\end{array}\right)(0.5)^1(0.5)^8+\left(\begin{array}{c}9 \\ 2\end{array}\right)(0.5)^2(0.5)^7+\left(\begin{array}{c}9 \\ 3\end{array}\right)(0.5)^3(0.5)^6+\left(\begin{array}{c}9 \\ 4\end{array}\right)(0.5)^4(0.5)^5+\left(\begin{array}{c}9 \\ 5\end{array}\right)(0.5)^5(0.5)^4+\left(\begin{array}{c}9 \\ 6\end{array}\right)(0.5)^6(0.5)^3+\left(\begin{array}{c}9 \\ 7\end{array}\right)(0.5)^7(0.5)^2+\left(\begin{array}{c}9 \\ 8\end{array}\right)(0.5)^8(0.5)^1 \\ \\ \Rightarrow P(x\leq8)=\frac{1}{512}+\frac{9}{512}+\frac{9}{128}+\frac{21}{128}+\frac{63}{256}+\frac{63}{256}+\frac{21}{128}+\frac{9}{128}+\frac{9}{512} \\ \\ \Rightarrow P(x\leq8)=\frac{511}{512}\Rightarrow P(x\leq8)\approx0.99 \end{gathered}\)So, the probability of having at most 8 girls is 511/512, that is approximately 0.99.
I'm not sure if this is the right answer or not, and I have to do good on this or I fail
The answer is Option A π/6
Explanation
7π/6 = (7 x 180)/6
= 210 = 180+30
Reference angle = 30° = π/6
Which measurement is the same for Charles and Jermod?
median
Orange
Olower quartile
Oupper quartile
These dot plots show how many minutes Charles and Jermod spent on homework per day
for three weeks.
15 20 25 30
40 45 50 55 60
Charles's Homework (minutes per day)
15 20 25 30 35 40 45 50 55 60
Jermod's Homework (minutes per day)
Which measurement is the same for Charles and Jermod?
The measurement is the same for Charles and Jermod are lower quartile and upper quartile. Therefore, options C and D are the correct answer.
From the given dot plot.
The number of minutes Charles spent on homework.
15, 15, 20, 20, 25, 30, 30, 30, 30, 30, 45, 50, 55, 60, 60.
Here, lower quartile = 20
Upper quartile = 50
Median = 30
Range = 60-15
= 45
The number of minutes Jermod spent on homework.
15, 15, 15, 20, 20, 30, 35, 45, 45, 45, 50, 50, 55, 55.
Here, lower quartile = 20
Upper quartile = 50
Median = 45
Range = 55-15
= 40
Therefore, options C and D are the correct answer.
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Sketch the graph of the given function. Then state the function’s domain and range. y = 4(4)x
To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.
Let's choose some x-values and calculate the corresponding y-values:
For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4
For x = -1, y = 4(4)^(-1) = 4(1/4) = 1
For x = 0, y = 4(4)^0 = 4(1) = 4
For x = 1, y = 4(4)^1 = 4(4) = 16
For x = 2, y = 4(4)^2 = 4(16) = 64
Now we can plot these points on a coordinate plane and connect them to form the graph of the function.
The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.
The domain of the function is all real numbers since there are no restrictions on the values of x.
The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.
Which value for x makes the sentence true?
Answer:
\( {\huge{\boxed{\underbrace{\pink{here \: is \: your \: solutio}}}}} \\ \\ {\huge{\boxed{\mathcal{\green{0.58x = 2.3316}}}}} \\ \\ {\huge{\boxed{\mathcal{\green{x = 2.3316 \div 0.58 }}}}} \\ \\ {\huge{\boxed{\mathcal{\green{x = 4.02}}}}} \\ \\ \huge\mathfrak\blue{ Hope \: it \: helps...}\)
you roll two 6-sided number cubes
where is the question I dont see it
A broker charges customers a fixed fee of £150 plus 5.50% of the amount of all investments made. If a customer invests £40 000 through the broker, what is the total brokerage payable?
(10 Marks)
Answer:
Total payable brokerage = £2350
Step-by-step explanation:
Given that:
Fixed fee charged by broker = £150
Percent of fee charged = 5.50%
Amount invested by customer = £40,000
Fee charged = \(\frac{5.50}{100}*40000\)
Fee charged = 5.50 * 400 = £2200
Total brokerage payable = £150 + £2200 = £2350
Hence,
Total payable brokerage = £2350
Daniel types more than x words per minute. He types a 576-word essay In less than
twelve minutes. Which Inequality best represents x, the number of words per minute
Daniel types?
Answer:
d
Step-by-step explanation:
In the diagram below, the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, & the first aid station, F. The campground is 0.35 mile from the lifeguard chair. The straight paths from both the campground and first aid station to the park ranger station are perpendicular.
If the path from the park ranger station to the campground is 0.65 mile, determine and state, to the nearest
hundredth of a mile,
a. Find the length of PL
Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.
How to calculate the valueIt should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:
= ✓(0.35² + 0.65²)
= 0.76 miles.
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Explain how you have caring degrees of control over the three types of income, and how much control you have ove each.
There are 3 types of income.
1) Earned income
2) Portfolio income
3) Passive income
What is income?Income can be defined as the consumption and saving opportunity gained by an entity within a specified timeframe, which is generally expressed in monetary terms. Income is difficult to define conceptually and the definition may be different across fields.
here, we have,
Earned income meaning is the type of income earned after exerting time and effort in you part. in which , Salary is an earned income. If you stop working, you'll stop having an earned income. The more time spent working, the more income you generate (overtime pay).
Portfolio income can b e stated as better identified as capital gains. This is earned when you sell an asset at a higher price than when you bought it. The difference from the selling price and its cost is the portfolio income. Your portfolio may include stocks, real estate properties, and other assets (antiques, cars).
Passive income is income generated without exerting effort from you. This income is generated from you bought or existing assets. Rental income is an example of this. You will always receive rent from you own real estate property.
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Determine the present value P that must be invested to have the future value A at simple interest rate after time t. A= $4500 r= 16% t= 2 years Round up to the nearest cent
Step 1
Given; Determine the present value P that must be invested to have the future value A at simple interest rate after time t.
A= $4500 r= 16% t= 2 years
Round up to the nearest cent
Step 2
Future value is given as;
\(A=P(1+r)^t\)\(\begin{gathered} r=\frac{16}{100}=0.16 \\ A=\text{\$}4500 \\ t=2\text{ years} \end{gathered}\)Step 3
\(\begin{gathered} 4500=P(1+0.16)^^2 \\ P=\frac{4500}{(1+0.16)^2} \\ P=\text{ \$}3344.23 \end{gathered}\)Answer;
\(\text{ P=\$3344.23 to the nearest cent}\)A watermelon weighs 6.45 kilograms. How many grams does the watermelon weigh?
Answer:
A watermelon weighs about 3 (grams /(kilograms) 3.
Step-by-step explanation:
Answer:
6,450 g
Step-by-step explanation:
Since there are 1000 grams in 1 kilogram, you multiply 6.45 kg x 1000 g.
6.45 x 1000 g equals 6,450 grams. Move the decimal 3 times to the right because there are 3 zeroes in 1000.
You always move your decimal to the right when multiplying decimals.
What do you know to be true about the values of a and b?
60"
75"
O A. a b
O B. a = b
O c. a> b
O D. Can't be determined
Answer: B. a = b .
First of all, let's think that a is equal to b.
Then, let's link up these two triangles.
Now, we have a parallelogram.
x+y = a+60
and 75 = b . So, a = b. Then, a is also = 75.
Now apply the basic triangle rule.
75+75+x=180 .. x = 30 degree.
and for the other triangle....
y+75+60=180 .. y= 45 degree...
Now, let's consider that we want to write a as b.
So, x+b+75=180 ...x+b=105
and..
y+b+60=180...y+b = 120..
Then, let's exit the b from these two equations.
-1/ x+b=105
y+b=120
Finally, we found this: y-x =15
and we have already found y and x values.
y was 45 and x was 30 degree.
So when we put these two numbers into that equation y-x=15
we found the value of 15.
So, our answer is a=b.
Answer:
\(\huge \boxed{\mathrm{B.} \ a=b}\)
Step-by-step explanation:
The two triangles form a parallelogram.
A parallelogram has opposite angles equal.
75 = b
Adjacent angles in a parallelogram are supplementary to one another.
They add up to 180 degrees.
a + 60 + 75 = 180
a + 135 = 180
Subtract 135 from both sides.
a = 75
Therefore, a = b.
To convert a distance of 12000 feet to miles which ratio could you mutiply by?
Answer:
use 1 mile / 5280 feet
Step-by-step explanation:
12000 feet to miles
= 12,000 feet x 1 mile
5280 feet
= 2.27 miles
15 POINTS
Using Pythagoras' theorem, calculate the length
of XY.
Give your answer in centimetres (cm) to 1 d.p.
Answer:
13.27 cm
Step-by-step explanation:
I am using (xy) to mean the length of the side xy
7^2 + (xy)^2 = 15^2
49 + (xy)^2 = 225
(xy)^2 = 225-49
(xy)^2 = 176
Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm
Which values from the given replacement set make up the solution set of the inequality?
5n>24 ; {2, 3, 4, 5, 6}
{5, 6}
{2, 3}
{4, 5, 6}
{3, 4}
Answer:
The answer is {4, 5, 6}
Step-by-step explanation: Because u have to do the math step by step with each number thats how u get the answer. And trust me its right because i got a 100%
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8 . If there were 7761 total votes, how many yes votes were there?
Answer:
2,985 yes votes
Step-by-step explanation:
Ratio of yes votes to no votes was 5 to 8, we can write the following equation:
Yes : no : total = 5 : 8 : 13
Knowing the total votes was 7,761, thus the number of yes votes = (5/13) * 7,761 = 2,985 votes.
PLEASE ANSWER AS SOON AS POSSIBLE
Answer:
4 to 1
Step-by-step explanation:
Tablespoon of cocoa to Tablespoon of sugar
8 : 2
\(\frac{8}{2}\) : \(\frac{2}{2}\)
4 to 1
When recipe is doubled: ( 8 x 2) to (2 x 2)
16 : 4
\(\frac{16}{4}\) : \(\frac{4}{4}\)
4 to 1
It can be observed that the ratio remains the same
75% of 96 = what is the answer
Express the % as a fraction
Answer:
72
Step-by-step explanation:
75% of 96 =
= 75/100 * 96
= 3/4 * 96
= 3 * 96/4
= 288/4
= 72
PLEASE HELP AS SOON AS POSSIBLE
Answer:
B
Step-by-step explanation:
Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.
PLS HELP I WILL DO ANYTHING PLS
Five cups of flour are required to make one batch of cookies. How many cups are required to make 2.5 batches?
Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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Ben ate 3/8 of a pizza. The remaining fraction of the pizza is ____
Answer:
fnndmd
Step-by-step explanation:
cnbbzbznznzxjjdjdjdkkxkxnxndnxnxnxnnxnxjxjxnxkxkxkkxmxmzmzmzmxmxmbald mfmd
(ECONOMICS- sorry there’s no button for it )
What motivates producers and consumers in the black market
The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.
The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:
High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.
Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.
Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.
Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.
Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.
However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.
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Question 4: The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.
76 61 74 62 73 63 73 64 72 64
72 65 72 66 71 66 71 67 70 67
70 68 69 68 68
Determine the (approx) value of the 53rd percentile Round answer to nearest integer:
Answer:
69
Step-by-step explanation:
Since there are 25 values, then n=25.
Now, calculate the index:
i=p/100n=53/100⋅25=53/4.
Since the index i is not an integer, round up: i=14
The percentile is at the position i=14. So, the percentile is 69.