Pamela's average annual percentage gain was = 7.7%
Calculation of annual percentage gainThe start up capital (P) = $10500
The simple interest (SI) = $3250
Time (T) = 4 years
Rate = ?
But SI = P × T × R /100
Make R the subject of formula,
R = SI × 100/P × T
R = 3250 × 100/ 10500 × 4
R = 325000/ 42000
R = 7.7%
Therefore, Pamela's average annual percentage gain was = 7.7%
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Can somebody please help with 7 and 8
Answer:
Point Form:
(−4,−9)
Equation Form:
x=−4, y=−9
Step-by-step explanation:
The point J(5,3) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, J'
Answer;
J(5,3) = x,y
rotated on 90;
J'(-3,5)
Therefore, the coordinates of the resulting point is J'(-3,5).
a retailer purchased a camera for rs.1560 and sold it at 5% loss find the loss amount
Answer:
Loss is Rs. 78
Step-by-step explanation:
Solution:
Given,
Cost Price (CP)= Rs.1560Loss Percent (L%) = 5%Here,
L%= L/CP ×100%
or,. 5 =L/1560×100
or,. 5×1560/100 =L
or,. L= Rs.78
Therefore, Loss is Rs.78
what value of x makes the equation 3^(x-5)=27^(x+4) true?
Answer:
The attached file contains the solution to the question
An exam consists of 50 multiple choice questions. Based on how much you studied, for
any given question you think you have a probability of
p = 0.70 of getting the correct answer. Consider the
sampling distribution of the sample proportion of the 50
questions on which you get the correct answer.
Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:
[tex]\mu = p = 0.7[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]
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7. A company invests in a new project and it is expected that after years of running the cumulative project in millions of shillings from the project is given by the function f(t)=10.5t-+- 20 where t represents time in years. The project can run for maximum of nine years required (1) Draw a graph which represent the profit functions (Smarks)
Answer:
what are the objectives of census class 7
f(x) = x^2. What is g(x)?
A. g(x) = 2x^2
B. g(x) = (1/4 x)^2
C. g(x) = 1/2 x^2
D. g(x) = (1/2 x)^2
giving brainliest to whoever gives me the answers (to a and b) :)
Answer:
a.) Graph is attached; blue is Petunia's and red is Billy's
b.) Number of Hours: 4 | Cost: 32 Pounds
help me pleaseeeeeeee
Answer:
x = 25
Step-by-step explanation:
This is just algebra involved with geometry!
Your objective is to solve for x.
The line dividing the 2x-5 and x+20 is the bisector
A bisector means the two angles have to be equal!
Your objective is to solve for x.
The line dividing the 2x-5 and x+20 is the bisector
A bisector means the two angles have to be equal!
2x-5=x+20 should be the equation!
Subtract x from both sides
x-5=20
Now add 5 to both sides
x=20+5
x=25
Now you need to plug the answers in!
50-5 for 2x-5
25+20 for x+20
45+45 = 90
I don't really know about the 125 but if that was excluded then this is it ^^^
The value of x is,
⇒ x = 33.3°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
The value of total angle is, 125°
Hence, By definition of angles we get;
⇒ (2x - 5) + (x + 20) = 125°
⇒ 3x + 15 = 125°
⇒ 3x = 125 - 15
⇒ 3x = 110
⇒ x = 33.3°
Thus, The value of x is,
⇒ x = 33.3°
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Which fraction represents the decimal 0.8888...?
StartFraction 80 Over 99 EndFraction
StartFraction 1,111 Over 1,250 EndFraction
Eight-ninths
Nine-eighths
Answer:
1111/1250
Step-by-step explanation:
Hey there!
To find what fraction represents the decimal shown, you can take each answer choice, and divide the two numbers
We can do this because a fraction is a simple way of dividing two rational numbers
Our answer is 1111/1250
In order to check if this is correct, we can just divide 1111 and 1250
When you divide this, you get 0.8888...
So the fraction that represents 0.888... is 1111/1250
A fraction that represents the decimal 0.8888 is: 1111/1250
What is fraction?In Mathematics, fractions are represented as a numerical value, can be defined as the parts of a whole. A fraction can be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing.
Given is decimal number 0.8888... we need to convert it into a fraction,
Since the number has 4 decimal places, then the first thing to do is multiply and divide the number by 10000.
We have then:
0.8888* (10000/10000) = 8888/10000
Simplifying we have:
8888/10000 = 4444/5000
4444/5000 = 2222/2500
2222/2500 = 1111/1250
Hence, the fraction that represents the decimal 0.8888 is: 1111/1250
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How to turn 68% into fraction
Answer:
68/100=17/25
Step-by-step explanation:
Since there are 2 digits in 68, the very last digit is the "100th" decimal place. So we can just say that 68 is the same as 68/100. terms by dividing both the numerator and denominator by 4. :D
Answer:
0.68=17/25
Step-by-step explanation:
first, turn it into a regular number which is as simple as dividing by 100, then you want to find a fraction which you first convert 0.68 into 68/100 and simplifying it gives you 17/25.
60 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.
Data Set 2 has a mean of 170.2 and a MAD of 1.7.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 10.
The distributions are different.
The distributions are somewhat similar.
The means-to-MAD ratio is 7.
Answer:
the means to and reroof is 10
the distributions are somewhat similar
Step-by-step explanation:
Answer:
the distributions are different
Find the value of x of 2x 110° (x + 10)°
Answer:
50°
Step-by-step explanation:
the sum of the angles of a quadrilateral is 360°
so
2x + 110 + x + 10 + 90 = 360
2x + x = 360 - 110 - 10 - 90
3x = 150
x = 150 : 3
x = 50°
-------------------------
check
50 + 10 + 2 * 50 + 110 + 90 =
360°.
the answer is good
Answer:
x = 50
2x = 110°
(x + 10)° = 60°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360°
⇒ 2x° + (x + 10)° + 110° + 90° = 360°
⇒ 2x° + x° = 360° - 110° - 90° - 10°
⇒ 3x° = 150°
⇒ x = 50
Substitute found value of x into the expressions and solve:
⇒ 2x° = 2(50)° = 110°
⇒ (x + 10)° = (50 + 10)° = 60°
Cos2A + cosec4A = cot A-cot 4A
Answer:
no solution
Step-by-step explanation:
A graphing calculator shows the left-side expression is never equal to the right-side expression for any real-number value of A.
The equation is not an identity, and has no solution.
__
Additional comment
By subtracting the right-side expression from the left-side expression, we get an equation of the form f(A)=0. Any solutions will be x-intercepts of the graph. The graph for this equation never comes close to crossing the x-axis.
Calculate the z-test statistic for a hypothesis test in which the null hypothesis states that the population proportion, p, equals 0.14 if the following sample information is
present
n = 200
x= 31
(Round to two decimal places as needed.)
Z=
Answer:
The z-test statistic for a hypothesis test in which the null hypothesis states that the population proportion, p, equals 0.14 if the following sample information is present (n = 200; x = 31) is z = .6114.
Step-by-step explanation:
The z-test statistic formula is:
[tex]\displaystyle z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]We are given x = 31 and n = 200, so we can solve for [tex]\hat{p}[/tex] : 31/200 = .155.
The population proportion, [tex]p=.14[/tex], is given in the problem.
We can substitute the known values into the z test statistic formula:
[tex]\displaystyle z = \frac{.155-.14}{\sqrt{\frac{.14(.86)}{200} } }[/tex][tex]\displaystyle z=\frac{.015}{\sqrt {.000602}}[/tex][tex]z=.6114[/tex]The z-test statistic for this problem is z = .6114.
When you have a loan on a house, commercial property, or land, it is known as what?
Mortgage
Owner’s Manual
Permit
Rent
Answer:
mortgage
Step-by-step explanation:
all the others just dont fit the question. might be wrong might not be who knows
If y=3/8x-1 find the find the equations that are perpendicular and parallel to this line that passes through (8, -2)
Answer:
Step-by-step explanation:
perp. -8/3
y + 2 = -8/3(x - 8)
y + 2 = -8/3x + 64/3
y + 6/3 = -8/3x + 64/3
y = -8/3x + 58/3
y + 2 = -3/8(x - 8)
y + 2 = -3/8x + 3
y = -3/8x + 1
Solve: 2^3x-5*a^x-2=2^x-2*a^1-x
Answer:
The value of "a" is 1/2.
You can also check the answer by putting the value of a in the given equation...
if u need it let me know
Help!!! Which of the following situations dose not have the same unit rate as the graph shown
Answer:
the answer is F
Step-by-step explanation:
one of the point is 2,10 and the costant would be 5 so g would be 30/6 which is 5 h would be 45/9 which is 5 and j would be 10/2 which is 5 so f is the correct answer because it foesnt have the same unit ratr
What square should complete the following series of squares?
1
2
3
4
Red cube will take 1,1 position (first row, first column).
Yellow cube will take 3, 4 position (third row, fourth column).
Green cube will take 4, 1 position (fourth row, first column).
What is pattern?A pattern is a repeated arrangement of numbers, shapes, colors and so on.
According to the given question.
We have three squares made up of small cubes.
In the three squares, only three cubes of each square are colored by following some pattern.
In the given series of square we can see that, the yellow colored cube moving straight forward. And the green and red cubes are moving diagonally.
Therefore, by following this pattern the cubes of fourth square of the series will take position:
Red cube will take 1,1 position (first row, first column).
Yellow cube will take 3, 4 position (third row, fourth column).
Green cube will take 4, 1 position (fourth row, first column)
Thus, the third option is correct.
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find the value of X in the figure below and on the Centre of carde O
Answer:
x=55°
Step-by-step explanation:
180_70( radii,sum of ^'s of a ∆)
=110
110%2(^at centre=2×^at the circum)
x=55°
The interest on an investment varies directly as the rate of interest. If the interest is $48 when the interest rate is 10%, find the interest when the rate is 4.3%
Answer:
48×4.3=184 and that is the easy way how to do it
Grady rode his bike 910 of a mile. Which of the following show this distance using decimal notation?
The distance Grad rode his bike 9 / 10 miles is represented in decimal as 0.9 miles.
What are decimal numbers?Decimal number are number whose whole number part and the fractional part is separated by a decimal point. Example of decimal numbers are 0.345, 7.45, 6.72 etc.
The distance Grad rode his bike is represented in fraction. The distance can be converted to decimal number as follows:
Distance in fraction = 9 / 10 miles
Therefore, the distance in decimal = 0.9 miles
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what is pi? In order to prove mastery explain how pie relates to the circumference and diameter of a circle
Pi, or π, is a number that is used to represent the ratio between a circle's circumference and its diameter.
Step-by-step explanation:
need help ASAP will mark BRAINLIEST
Answer:
28 square inches
Step-by-step explanation:
There will be 4 sectors in a circle each having 90° central angle.
-> Area of circle = 4*Area of sector of circle having central angle 90°
= 4*7
= 28 sq inches
A father is four times as old as his son. In two years the will have been five times as old as his son was two years ago. How old is the father?
Answer:
Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.
Given that 5 miles is 8 km, convert 17.8 miles to km.
Answer:
[tex]28km[/tex]
Step-by-step explanation:
[tex]5miles = 8km[/tex]
[tex]17.8miles = x[/tex]
[tex] \frac{17.8}{5} \times 8km[/tex]
[tex]x = 28km[/tex]
Which shows the solution set to the
inequality below?
2x+35-5
A. H
-5 -4 -3 -2 -1
0 1
++
2 3 4 5
-
B. +
HHHHHH
-5 -4 -3 -2 -1 0 1 2 3 4 5
C. HA
++++
-5 -4 -3 -2 -1 0 1
0 1 2 3 4 5
D.
-5 -4 -3 -2 -1
+++++
0 1 2 3 4 5
Answer:
The answer is C hope this can help you out!
Guys help me pls I need the answer ASAP
Answer:
see below
Step-by-step explanation:
12^6 / 12^3 = 12 ^(6-3) 12^3
(9^3)^5 = 9^(3*5) = 9 ^ 15
In parallelogram ABCD, mLA
4x + 20 and m2C = x + 26
Find the value of x.
Then find the measure of LA.
Answer:
Step-by-step explanation:
In a parallelogram, opposite angles are congruent.
∠A = ∠C
4x + 20 = x + 26
Step 1: To find the valu of 'x', first subtract 20 from both sides
4x = x + 26- 20
4x = x + 6
Step2: Now, subtract 'x' from both sides
4x -x = 6
3x = 6
Step:3: divide both sides by 3
x = 6/3
x = 2
∠A = 4*2 + 20
= 8 + 20
∠A = 28°