Answer:
To find the principal, P we can use the same formula, A=P(1+rn)nt. We have the balance of the account, A, after 6 years, $1,780.80. The interest rate, r, is 6.8% (or 0.68 as a decimal) and is compounded annually, so n=1. The time, t, is 6, since we know he opened his account 6 years ago. Plug in the known values into the formula and solve for the missing variable, P.
Step-by-step explanation:
1,780.80 = P (1+0.0681 divided 1^(6)
1,780.80= 1.484P
1,200=P the principal amount Lex used to open his account 6 years ago
Select the correct answer. What is this equation rewritten in exponential form? log7 343 = 3 A. 37 = 343 B. 73 = 343 C. 343x = 7 D. 343x = 3
The solution to the equation log₇343 = 3 is 7³ = 343
What is an equation?An equation is used to show the relationship between numbers and variables.
The logarithm can be defined as the exponent that raises a base to get a particular number. The law of logarithm states:
logₓm = n is the same as xⁿ = m
Given the equation:
log₇343 = 3
Applying the law of logarithm gives:
7³ = 343
The solution to the equation is 7³ = 343
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Only answer if you’re sure :) answer the full equation. Will give Brainly.
Answer:
the answer is-2
hope this helps
The average number of customers at the cafe fell by 10% in the month of May. If 140 fewer customers visited the cafe in May, how many customers visited in April?
Answer:
1400
Step-by-step explanation:
You want to know the number of customers in April if the number in May was 10% lower. That number was 140 fewer.
PercentThe problem statement is telling us ...
April - (10% × April) = April - 140
10% × April = 140 . . . . . . . . subtract April, multiply by -1
April = 140/10% = 1400 . . . . divide by 10%
The number of customer visits in April was 1400.
__
Additional comment
The 1400 customers in April fell by 140 to 1260 in may. That's 10% fewer than in April.
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What's the result of translating the point (9, –5) using the rule (x, y) → (x + 7, y – 2)?
Question 10 options:
A)
(16, –5)
B)
(16, –7)
C)
(2, –3)
D)
(9, –7)
What is the sum of the first thirteen terms in a geometric series with a1=−3 and r=4?
Answer:
The sum of the first 13 terms of the sequence is -67,108,863.
Step-by-step explanation:
Sum of the first n terms of a geometric sequence:
The sum of the first n terms of a geometric sequence, with first term [tex]a_1[/tex] and ratio r, is given by:
[tex]S_n = \frac{a_1(1-r^n)}{1-r}[/tex]
In this question:
[tex]a_1 = -3, r = 4[/tex]
Sum of the first 13 terms:
[tex]S_{13} = \frac{-3(1 - 4^13)}{1-4} = -67108863[/tex]
The sum of the first 13 terms of the sequence is -67,108,863.
What are the features of the function f(x)=−2log3 (x+4) graphed below?
Answer:
Step-by-step explanation:
The function f(x) is a logarithmic function with a vertical asymptote of x = -4. The range of the function is (-∞, ∞), and it is decreasing on its domain of (-4, ∞). The end behavior on the LEFT side is as x → -4 (from the right), y → ∞, and the end behavior on the RIGHT side is as x → ∞, y → -∞.
The characteristics of the logarithmic function are described below:
Domain of the function is [tex](-4, +\infty)[/tex]Range of the function is the set of all real numbers.The component [tex]x+4[/tex] indicates the existence of a vertical asymptote at [tex]x=-4[/tex].The constant [tex]-2[/tex] reflects the logarithm about the x-axis.Analysis of a logarithmic function
The graph of the function is attached below. After a quick analysis, we conclude the following characteristics of the given function:
Domain of the function is [tex](-4, +\infty)[/tex]Range of the function is the set of all real numbers.The component [tex]x+4[/tex] indicates the existence of a vertical asymptote at [tex]x=-4[/tex].The constant [tex]-2[/tex] reflects the logarithm about the x-axis.To learn more on logarithm, we kindly invite to check this verified question: https://brainly.com/question/7302008
Find the area of the trapezoid
Answer:
The area of this trapezoid is equal to 240 [tex]m^{2}[/tex]
Step-by-step explanation:
The area of a trapezoid can be found by using the following formula...
[tex]Area = \frac{(a + b)h}{2}[/tex] (in this formula a and b are the bases of the trapezoid and h is
the height of the trapezoid).
Now we just substitute the values and get...
[tex]Area = \frac{(a + b)h}{2} = \frac{(9 + 15)(20)}{2} = \frac{480}{2} = 240m^{2}[/tex]
A national survey by Gallup interviewed a random sample of 1014 adults and found that they had consumed on average 4.2 alcoholic beverages in the past seven days. The distribution of the number of alcoholic beverages in the sample was clearly right-skewed. Q10.13 Points What would most likely be the shape of the distribution of the number of alcoholic beverages consumed in the past seven days in the entire American adult population
Answer:
Approximately normal
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
As the sample size is above 30, even though the underlying distribution is right-skewed, the shape of the sampling distribution of the sample means will be approximately normal.
What is the perimeter of the figure please help
Answer:
A 4.5
Step-by-step explanation:
Which student would benefit most if the teacher
decided to use the median to calculate their final
grades instead of the mean?
A student whose grades are skewed right.
A student who has a grade with one very low
outlier.
A student whose grades are perfectly symmetrical.
A student whose grades have a standard deviation
of zero.
Answer:
the students that are skewed right
Step-by-step explanation:
Find the measure of angle B.
Answer:
98
Step-by-step explanation: do not question the wise one
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
Step-by-step explanation:
0.25 x 0.044 = 0.011
a. Changing 0.25 to 25 moves the decimal 2 places to the right, and changing 0.044 to 44 moves the decimal 3 places to the right, so once we solve 25 x 44, we have to move the decimal a total of 5 places to the left.
25 x 44 = 1100, then move the decimal 5 places to the left to get 0.01100...but we don't add the zeros at the end.
b. multiplying 1/4 times 0.044 = 0.044/4 = 0.011
Hope this helps.
Draw the following figure in your note book and find the perimeter or circumference show your solution.
1.) Triangle : s = 6cm ; P=
2.) Square : s = 7 cm ; P =
3.) Rectangle = W = 4cm , L = 8 cm ; P =
4.) Regular Heptagon : s = 3cm ; P =
5.) Circle : r = 12cm ; C =
1)Triangle : s = 6cm ; P= 18 cm
2.) Square : s = 7 cm ; P = 28 cm
3.) Rectangle = W = 4cm , L = 8 cm ; P = 24cm
4.) Regular Heptagon : s = 3cm ; P = 21 cm
5.) Circle : r = 12cm ; C = 24∏ cm.
What is circumference?
The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.
Given that the length of each side of a triangle is 6 cm.
The perimeter of an equilateral triangle is 3a, where a is the length of the side of the equilateral triangle.
The perimeter of the triangle is 3 × 6 = 18 cm
The length of side of a square is 7 cm.
The perimeter of a square is 4a, where a is the length of the side of the square.
The perimeter of the square is 4 × 7 = 28 cm.
The length and breadth of a rectangle is W = 4 cm and L = 8 cm.
The perimeter of a rectangle is 2(L+ W)
The perimeter of the rectangle is = 2(8 + 4) = 2 × 12 =24 cm
The perimeter of Regular Heptagon is 7a, where a is the length of the side of the Regular Heptagon.
The perimeter of a Regular Heptagon is (7 × 3) = 21 cm
The perimeter of a circle with a radius r is 2∏r.
The perimeter of the circle is 2∏ × 12 = 24∏ cm.
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What is x + y when x = 4 and y = -5
Answer:
x + y = -1
Step-by-step explanation:
4 plus -5 is equivalent (equal to) the equation 4 - 5 which equals -1
what fraction is equal to 1/8+1/8
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
1/8+1/8=2/8 simplified its 1/4 but if you dont want it simplified its 2/8
A bicycle shop is selling $500.00 bikes at 10% off. If the sales tax is 13% how much will the
bike cost?
given f''(x)=4x-2 and f'(-1)=0 and f(-1)=4
find f'(x)=
find f(4)=
Which angles are adjacent to BFD? Select all that apply.
Answer:
<AFB
Step-by-step explanation:
First you must know the two adjacent angles are placed side ways in a diagram. Most of this angles are supplementary i.e their sum is 180 degrees. From the diagram shown, you can see that the two angles that are supplementary are <BFD and <AFB. Hence we can conclude that <AFB is adjacent to <BFD
Tests of older baseballs showed that when dropped 24 ft onto a concrete surface, they bounced an average of 235.8 cm. In a test of 40 new baseballs, the bounce had a mean of 235.4 cm. Assume the standard deviation of baseball bounce heights is 4.5 cm. At α=0.05, are the new baseballs different?
A. There is sufficient evidence to support the claim that the new baseballs have bounce heights with a mean different from 235.8 cm
B. There is not sufficient evidence to support the claim that the new baseballs have bounce heights with a mean matching 235.8 cm
C. There is sufficient evidence to support the claim that the new baseballs have bounce heights with a mean matching 235.8 cm
D. There is not sufficient evidence to support the claim that the new baseballs have bounce heights with a mean different from 235.8 cm
Answer:
D. There is not sufficient evidence to support the claim that the new baseballs have bounce heights with a mean different from 235.8 cm
NEED HELP CLICK TO SEE LINKS WILL GET REPORTED
Answer:
click to see link blahlaldglds.com
JUST KIDNG HERES THE ANSWERS BELOW.
7
15
-5
1
4
Step-by-step explanation:
Use the drop-down menus to complete each equation so the statement about its solution is true PLS ANSWER NOW
Answer:
4x + 4
Step-by-step explanation:
Not sure if I understand the question but I think that's what the answer is for all 3 drop downs. :)
help pleaseeeeeeeee
︎
︎
The correct answer in the number line is 2 and 0.888 .
In elementary math, what is a number line?A picture of numbers on a straight line is referred to as a number line in mathematics. Across the length of a number line, the numbers are arranged in a sequential manner at equal intervals. It is frequently seen horizontally and can extend indefinitely in any direction.
The addition, subtraction, division, and times table problems can all be illustrated with a number line. You can better comprehend the idea of negative numbers by using the number line.
The addition, subtraction, division, and times table problems can all be illustrated with a number line. You can better comprehend the idea of negative numbers by using the number line.
1. 9/2 in 2
2.4/9 by 2 is = 4/4.5 = 0.888 .
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The equations of three lines are given below.
Line 1: y= 3x +8
Line 2: y=3x-3
Line 3: 6x - 2y= -8
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
they are all parallel
they all have the same slope of three
why is 2^3x 5^4x 9^4 not a prime factorization? what is the prime factorization of the number?
Imani bought one bunch of asparagus for
$2. How many bunches can Eduardo buy
if he has $4?
Answer:
2 Bunches
Step-by-step explanation:
PLSS I NEED THIS! Number 4
Answer:
(b) y < x-1; y ≤ -2x+2
Step-by-step explanation:
You want to know the inequalities represented on the graph showing a solid line with negative slope and a y-intercept of 2, and a dashed line with positive slope and a y-intercept of -1, where the shading is below both lines.
Line typeIf the line is included in the solution set (≤ or ≥ is used), the boundary line is graphed as a solid line. If the line is not included in the solution set (< or > is used), the boundary line is graphed as a dashed line.
Here, the line with positive slope is dashed, and the line with negative slope is solid.
y = x -1 . . . . is a line with positive slope
y = -2x +2 . . . . a line with negative slope
ShadingThe shading is below the line for y-values less than those on the line:
y < x -1 . . . . shading below a dashed line with positive slope
y ≤ -2x +2 . . . . shading below a solid line with negative slope
These are the inequalities of interest.
5. What is the mode in this sequence of numbers? 5, 10, 16, 3, 8, 11, 7, 10,2 I a. 8 b. 5 c. 11 d. 10
Answer:
Step-by-step explanation:
c, because 3+8 is 11 so c would be correct
PLEASE HURRY BE FAST
A fishing map is laid out on a coordinate plane with each unit equal to 1 mile. The boat is launched from the point (−3, 0) and goes to point (−3, 3) to fish. From there, the boat travels to (0, 0) to fish and then goes back to the launch point.
Determine the total number of miles traveled. Round to the nearest mile.
3 miles
6 miles
10 miles
24 miles
Answer:
24 miles
Step-by-step explanation:
each distance between points is 6.
6+6+6+6=24 miles
-50 POINTS- if you guess you’ll be reported.
If P=(4,7) Find D2 (P)
You will be reported if you guess. The result is -1 if P=(4,7)on D2 (P). Consequently, P=(4,7) in D2 reports -1. (P).
What is the value of D2 (P)?Given p= (4,7)
The answer to 4 p+7 is 4(-2)+7=-8+7=-1
The value of the denominator (d2), a weighting factor, is depends on the control chart's subgroup size, n. Based on a subgroup size of 5, the value of d2 in the case is 2.326. Following is a brief list of the d2 values for other subgroup sizes.
The table of constants below contains the d2 value, which is determined by the subgroup size. The average moving range, or MR-bar, will be used if your subgroup size is one. Model No. The average range is 0.220, and the mean is 0.8057 (X-bar). The D2 function gives the sample range of n independent, normally distributed random variables with the same mean and a standard deviation of 1 the anticipated value.
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The area of the base of a cylindrical container is defined by b(x) = x*2 - x + 12. Find
the volume of water that can be stored inside the container if the height is defined
by h(x) = x - 1.
Answer: [tex]V=x^3-2x^2+13x-12[/tex]
Step-by-step explanation:
Given
The area of the base is given by [tex]b(x)=x^2-x+12[/tex]
The height of the container is [tex]h(x)=x-1[/tex]
The volume of the cylindrical container is
[tex]V=Area\times height[/tex]
Insert the values
[tex]\Rightarrow V=\left( x^2-x+12\right)\cdot \left(x-1\right)\\\Rightarrow V=x^3-x^2+12x-x^2+x-12\\\Rightarrow V=x^3-2x^2+13x-12[/tex]