Answer:
11 years
Step-by-step explanation:
Given that:
Advert A:
Principal, p = $24,200
Interest rate, r = 6.5% = 6.5/100 = 0.065
Time, t =?
Total Repayment, A = $41,503
Using the relation :
A = p(1 + rt)
Plugging our values
41503 = 24200(1 + 0.065t)
41503 / 24200 = 1 + 0.065t
1.715 = 1 + 0.065t
1.715 - 1 = 0.065t
0.715 = 0.065t
t = 0.715 / 0.065
t = 11 years
Loan in Advert A will be paid back in 11 years
Answer:
11 years
Step-by-step explanation:
Given that:
Advert A:
Principal, p = $24,200
Interest rate, r = 6.5% = 6.5/100 = 0.065
Time, t =?
Total Repayment, A = $41,503
Using the relation :
A = p(1 + rt)
Plugging our values
41503 = 24200(1 + 0.065t)
41503 / 24200 = 1 + 0.065t
1.715 = 1 + 0.065t
1.715 - 1 = 0.065t
0.715 = 0.065t
t = 0.715 / 0.065
t = 11 years
Loan in Advert A will be paid back in 11 years
Jen bought 2,445 crackers. She bought 280 more. How many crackers does she have all together
Answer:
2,725
Step-by-step explanation:
The wheel on a scooter completes 124 revolutions and travels 22.4 meters. What is the diameter of the wheel in mm? Use 3.14 for pi and round to the nearest whole millimeter.
If wheel on a scooter completes 124 revolutions and travels 22.4 meters then diameter of the wheel is 57 mm
Each revolution of the wheel covers a distance equal to the circumference of the wheel.
The diameter of the wheel "d".
The distance covered in 124 revolutions is:
distance = 124 x circumference
= 124 x pi x d
= 124 x 3.14 x d
We know that this distance is equal to 22.4 meters, so we can set up an equation:
124 x 3.14 x d = 22.4
Simplifying and solving for d:
d = 22.4 / (124 x 3.14)
d = 0.057 meters
As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters
d = 57 millimeters
Therefore, the diameter of the wheel is approximately 57 mm.
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What fraction is equal to 212?
Answer:
4/8
Step-by-step explanation:
Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
A: Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
B: Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
C: Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
D: Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Answer:
D: Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
PLSS HELPPPP!!!
Which expressions represent the total area of the large rectangle? Select all that apply.
Answer:
A, C, and E
Step-by-step explanation:
penny would love to open a coffee shop at her local shopping centre, so she decides to hand out a questionnaire at the shopping center's entrance in order to do market research. draw up a questionnaire that penny could use to gather the information she requires
Penny plans to distribute a questionnaire at the entrance to the coffee shopping center in order to do market research because she would love to build a coffee shop there which are explained.
Explain about the term questionnaire?Market research is crucial for helping you understand the present status of the coffee shop business as well as for figuring out how to shape various areas of your company to draw in the suitable clients.
Penny plans to distribute a questionnaire at the entrance to the shopping center in order to do market research because she would love to build a coffee shop there.
Penny may utilize a questionnaire to collect the data she needs, which would include the following:
What are the current consumption patterns of customers at coffee shops? Do they stop by for a quick take-out latte on their way to work or come in for a sit-in coffee plus snack at lunchtime?What qualities define a normal coffee shop patron? Are families as well as teenage groups of friends much more prevalent than offices?What is the typical client budget?What are the best-selling products? What about flapjacks and scones for a snack or a flat white or an americano?know more about the questionnaire
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Write 3 1/2 as a decimal number
Answer:
3 .1 /2 = 3.50 = 350 %
Step-by-step explanation:
To convert a fraction into decimal, one needs to transform it so that the fraction is a sum of fractions each or which has a denominator, which is a power of 10.
3 .1/ 2 = 3 1 × 50 /2 × 50 = 3 .50 /100 = 3.50
And for conversion to percentage, one needs to multiply this by
100
Hence
3 .1/ 2 = 3.50 = ( 3.50 × 100 )% = 350 %
hope it helps!
The mixed fraction 3 1/2 as a decimal number is 3.5.
To write 3 1/2 as a decimal number, we can convert the mixed number to an improper fraction and then perform the division.
First, convert the mixed number 3 1/2 to an improper fraction:
3 1/2 = (3 x 2 + 1) / 2 = 7/2
Now, divide 7 by 2:
7 ÷ 2 = 3.5
Therefore, 3 1/2 as a decimal number is 3.5.
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Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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If the cost of a dozen pencil is 96 . find the cost of 18 pencil plz fast i have to summit now
Answer:
Cost of dozen pencils = 96
Cost of one pencil = 96 / 12 = Rs.8
Cost of 18 pencils = 8×18 = Rs.144
Step-by-step explanation:
Hope it helps
Mark me as brainliest plz
Step-by-step explanation:
help word count word count word count
The two angles are supplementary, so their measures add to 180º. Use this to solve for x :
(3x + 20) + x = 180
4x + 20 = 180
4x = 160
x = 40
Then the larger angle has measure
(3(40) + 20)º = (120 + 20)º = 140º
Wrtire 55, 555 expanded form. How does the value of each 5 compare to the value of the 5 to its rights
Answer: ↓↓
Step-by-step explanation:
55,555 = 50,000 + 5,000 + 500 + 50 + 5
50 = 10 × 5
500 = 100 × 5
50,00 = 1000 × 5
50,000 = 10,000 × 5
Hope I helped!
What is 643.2 - 32?
20.1
2.1
21
201
My Progress >
Answer:
608.2
none of the option
16 is what percent of 80? anyone can help me please?
Answer:
According to my calculations, 16 should be 20% of 80
Changing the subject of a formula making x the subject of each formula
As per given by the question,
there are given that the equation,
\(\frac{1}{2}x=u+6\)Now,
From the given equation,
\(\frac{1}{2}x=u+6\)Then,
\(\begin{gathered} \frac{1}{2}x=u+6 \\ \frac{1}{2}x-u-6=0 \end{gathered}\)Then,
\(\begin{gathered} \frac{1}{2}x-u-6=0 \\ \frac{1}{2}x=u+6 \\ x=\frac{u+6}{\frac{1}{2}} \\ x=2(u+6) \end{gathered}\)Hence, the value of the x is,
\(\begin{gathered} x=2(u+6) \\ x=2u+12 \end{gathered}\)For Part 7:
The given equation is,
\(1-13w=2h+x\)Then,
\(\begin{gathered} 1-13w=2h+x \\ 1-13w-2h-x=0 \\ 1-13w-2h=x \end{gathered}\)Hence, the value of x is,
\(x=1-13w-2h\)Now,
For part 10:
The given equation is,
\(5=x-21+q\)Then,
\(\begin{gathered} 5=x-21+q \\ 5-x+21-q=0 \\ 26-x-q=0 \\ x=-q+26 \end{gathered}\)Hence, the value of x is,
\(x=-q+26\)HELP ME PLEASE! I"M GONNA FAIL! :(
Answer:
I'm guessing C?
Step-by-step explanation:
I might not be right, never done this kind of math before. Just taking a guess.
Use the graph of the function to answer the following question.
Which of the following statements about the function is TRUE?
A.The function has a maximum value of 0.
B.As x approaches ∞, the function approaches ∞.
C.The function is always decreasing.
D.The function is positive on the interval (- 1, 1).
The function is positive on the interval (-1, 1)," is the only answer that is accurate. Due to the fact that the function accepts positive values for x between -1 and 0, accepts 0 at x = 0, and then accepts positive values.
A function on an interval is what exactly?When a function is specified at each point along an interval without any gaps, leaps, or interruptions, the interval is said to be continuous for that function.
When we examine the function's graph, we can observe that:
Because the function accepts negative values for x > 1 and positive values for x -1, it does not have a maximum value of 0.
The function does not approach as x approaches. Instead, as x rises, the function alternates between positive and negative values.
There are times when the function increases. Rather, it is rising on the interval (1, ) and falling on the intervals (-, 1). At x = -1, it has a local minimum, while at x = 1, it has a local maximum.
Due to the fact that it accepts negative values for x between -1 and 0, the function is not positive on the range (-1, 1).
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12 - 15 divided by 3 - 3
Answer: 12-(15/3)-3 = 4
Step-by-step explanation:
12-(15/3)-3 = 4
The length of a rectangular vegetable bed is 3 feet more than twice the width. The length of the fence around the bed is 36 feet. Find the length and width, and a specific equation to find it if the width is x.
Answer:
width = 5 feet
length = 13 feet
Step-by-step explanation:
length of a rectangular vegetable bed is 3 feet more than twice the width
l = 2x + 3
length of the fence around the bed is 36 feet
p = 2(l + x)
36 = 2(l + x)
18 = l + x
Substitute for l
18 = (2x + 3) + x
18 = 3x + 3
15 = 3x
x = 5
l = 2(5) + 3 = 13
Answer:
width= 5
length=13
equation (x is rectangle) = 18=(2x+3)+x
Step-by-step explanation:
Name all the angles that have V as a vertex.
Answer:
Angle 3
Angle 4
Angle DVE
Angle FVE
Angle DVF
The angles that have V as a vertex are:
\(\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF\)
Recall:
A vertex of any angle is simply the corner of an angle that forms a V-shape.Three points make up an angleLetters can be used to represent the three points
The letter at the middle of the three letters is the vertex of the angle
Angles can be named using the numbers that are used in labelling the vertex of each angle
Thus, from the given image,
Each of the following angles has V as the vertex of its angle:
\(\angle 3 $ and $ \angle 4\) has vertex V\(\angle DVF, $ \angle DVE, $ and \angle EVF\) has V as a vertex.
Therefore, the list of all angles having V as a vertex are:
\(\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF\)
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Write the equation of a line that is parallel to {x=8}x=8x, equals, 8 and that passes through the point {(-3,-2)}(−3,−2)left parenthesis, minus, 3, comma, minus, 2, right parenthesis.
Answer:
x = -3
Step-by-step explanation:
The line parallel to x=8 is another vertical line:
x = constant
To make it go through a point with an x-coordinate of -3, the constant must be -3.
Your line is ...
x = -3
Answer:
x=-3
Step-by-step explanation:
khan
The Smith family is selling their home for $250,000 with a required down payment of 5%. Find the amount of the required down payment and the mortgage.
Down Payment:
Mortgage:
Answer:
Down payment is $12,500.
Mortgage = $237,500
Step-by-step explanation:
The required down payment is 5% of the selling price of the house, which is $250,000.
Down payment = 5% of $250,000 = 0.05 x $250,000 = $12,500
Therefore, the required down payment is $12,500.
To find the amount of the mortgage, we need to subtract the down payment from the selling price of the house.
Mortgage = Selling price of the house - Down payment
Mortgage = $250,000 - $12,500
Mortgage = $237,500
Therefore, the amount of the mortgage is $237,500.
Find the area of the trapezoid.
( The answer 10.5 is not correct )
Answer:
42 units
Step-by-step explanation:
Area of a trapezoid is always 1/2(b1+b2)*h
so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42
A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
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1. A right triangular prism that is 12 inches long, 3 inches
wide, and 4 inches tall is represented by the figure
below. What is the volume of the prism, in cubic inches?
While on a mountain hike, you see a sign posting that you are at an elevation of 130 ft. You arrive at another sign 30 minutes later that says you are at an elevation of 430 ft. What was your average rate of change of elevation? Round your answer to the nearest whole number, if necessary.
Your average rate of change of elevation is 10 ft/min.
What is rate of change?The rate of change defines how a given quantity changes per unit change in another quantity.
We can write the average rate of change as -
r{avg.} = {Δy/Δt} = {y₂ - y₁/x₂ - x₁}
We can write the instantaneous rate of change as -
r{ins.} = dy/dt
Given is that on a mountain hike, you see a sign posting that you are at an elevation of 130 ft. You arrive at another sign 30 minutes later that says you are at an elevation of 430 ft.
We can write the average rate of change as -
r{avg.} = {Δy/Δt} = {y₂ - y₁/x₂ - x₁}
r{avg.} = (430 - 130)/(30 - 0)
r{avg.} = (430 - 130)/(30)
r{avg.} = 300/30
r{avg.} = 10 ft/min
Therefore, your average rate of change of elevation is 10 ft/min.
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Phil Nelson deposited $35,000 at Wachovia Bank at 3.5% interest
compounded quarterly. How much money will be in this account at
the end of the year?
Answer:
$36,241.20
Step-by-step explanation:
Compounded Interest Rate Formula: A = P(1 + r/n)^nt
Since we are given P, r, n, and t, simply plug it into the formula:
A = 35000(1 + 0.035/4)⁴⁽¹⁾
A = 35000(1 + 0.00875)⁴
A = 35000(1.00875)⁴
A = 35000(1.03546)
A = 36241.2
The points on a section of an exam is given by the function fx, where x is the number of questions answered correctly in that section. If f12=18, then a test-taker receives 18 points for answering _____ questions in the section correctly.
Answer: 12
Step-by-step explanation:
Given the function :
f(x),
x is defined as the number of questions answered correctly in a certain section.
Thus given that the function; f(12) = 18 means a test-taker receives 18 points for answering x questions in the section correctly
The number of correct questions will be :
Compare ;
f(x) = f(12)
Hence ; x = 12 = number of questions answered correctly in the section.
translate into an algebraic expression: 120 is increased by d % and increased by 25% . What is the result ?
Answer:
1.5d+150
Step-by-step explanation:
125 since it increased by 25%. look at the problem below:
125( 1 + 0.01d) then you plug those numbers in and theres your answer :00!!
sammy-6th grade-
The algebraic expression is 1.5d+150.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that 120 is increased by d % and increased by 25% then the expression will be written as below.
E = 1.5d+150.
Hence the algebraic expression is 1.5d+150.
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There are 18 students in the math club.
Of the 18 students, 1/6 have red hair. How many of the students have red hair?
Part b: of the 18 students, 4/6 have brown hair. How many of the students have brown hair?
Part c:
What is the relationship do you notice between the number of students with brown hair and the number of students with red hair?
a:1/6×18/1=18/6 when simplified is 3
b:4/6×18/1=72/6 when simplified is 12
c.The relationship between the number of students with brown hair and the number of students with red hair is that they are equivalent to one another.
Please help i will give 60 points.
Answer:
a
Step-by-step explanation: