Answer:
2.38% annual interest rate
Step-by-step explanation:
We have the initial value that is $6139 and the final value that is $8,624.97 the initial value is a 100% and the final value is 100%+17x% where x is the annual interest rate, then:
[tex]\dfrac{8624,97\cdot 100\%}{6139\cdot (100\%+17x\%)}=1[/tex]
[tex]\dfrac{8624,97\cdot 100\%}{6139}=100\%+17x\%[/tex]
[tex]\dfrac{862497\%}{6139}-100\%=17x\%[/tex]
[tex]140.49\%-100\%=17x\%[/tex]
[tex]40.49\%=17x\%[/tex]
[tex]\dfrac{40.49\%}{17}=x\%[/tex]
[tex]2.38\%=x\%[/tex]
To find the interest rate of the account, you can use the formula for continuous compound interest, which is A = Pe^(rt). By plugging in the given values, you can solve for r and find that the interest rate is approximately 1.77%.
Explanation:To find the interest rate of the account, we can use the formula for continuous compound interest:
A = Pe^(rt)
Where:
A = final balanceP = initial investmente = Euler's numberr = interest ratet = time in yearsGiven that Adam invested $6139 and the balance after 17 years is $8624.97, we can plug in these values and solve for r:
8624.97 = 6139 * e^(17r)
Divide both sides of the equation by 6139:
e^(17r) = 8624.97 / 6139
Now, take the natural logarithm (ln) of both sides:
ln(e^(17r)) = ln(8624.97 / 6139)
Use the logarithmic property ln(e^x) = x to simplify the equation:
17r = ln(8624.97 / 6139)
Finally, divide both sides of the equation by 17 to solve for r:
r = ln(8624.97 / 6139) / 17
Using a calculator, we find that the interest rate of the account is approximately 0.0177, or 1.77%.
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Is this equation true, false or open? 9p+8=10p+7
9p+8=10p+7
9p - 10p = 7 - 8
-p = -1
p = 1
TRUE
The equation 9p+8=10p+7 is a true equation as it provides a specific solution upon rearrangement and simplification which is p = 1.
Explanation:The equation you have provided: 9p + 8 = 10p + 7, is what we refer to as an equation in algebra. A way to determine if an equation is true, false or open is by attempting to solve. Firstly, let's put all 'p' terms on one side of the equation and numbers on the other. It would look like this after simplification: 10p - 9p = 8 - 7, which simplifies to: p = 1. Since we found a specific solution (p = 1), this means the equation is classified as true.
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PLEASE HURRY!!!
What is 2.64E20 in standard form?
The answer could be 2.64e+20
What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0? A. slope = -2, y-intercept = B. slope = 2, y-intercept = C. slope = -2, y-intercept = D. slope = 2, y-intercept = E. slope = -2, y-intercept =
The correct answer is that the slope is equal to -2 and the y-intercept is equal to 2/3.
To find this, follow the order of operations and solve for y.
3(y − 2) + 6(x + 1) − 2 = 0 ----> distribute
3y - 6 + 6x + 6 - 2 = 0 -----> combine like terms
3y + 6x - 2 = 0 -----> subtract 6x
3y - 2 = -6x -----> add 2
3y = -6x + 2 -----> divide by 3
y = -2x + 2/3
Now we can find the slope as the coefficient of x (-2) and the intercept as the constant (2/3)
Answer: The slope of the given line is -2 and y-intercept is [tex]\dfrac{2}{3}.[/tex]
Step-by-step explanation: We are given to find the slope and y-intercept of the following equation of a line:
[tex]3(y-2)+6(x+1)-2=0~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the slope-intercept form of the equation of a line is given by
[tex]y=mx+c,[/tex] where m is the slope and c is the y-intercept of the line.
From equation (i), we have
[tex]3(y-2)+6(x+1)-2=0\\\\\Rightarrow 3y-6+6x+6-2=0\\\\\Rightarrow 3y+6x=2\\\\\Rightarrow 3y=-6x+2\\\\\Rightarrow y=-2+\dfrac{2}{3}.[/tex]
Thus, the slope of the given line is -2 and y-intercept is [tex]\dfrac{2}{3}.[/tex]
If EF=7, AC=16
Geometry
See the attached picture:
Absolute Value.
Evaluate |a + b - c|, given a = 5, b = -3, and c = -2.
A)-4
B)4
C)10
D)0
The answer is B 5+-3--2 =4
Find the equation of the line that is perpendicular to y=-3/4x+1 and contains the point (9,12).
The equation of the perpendicular line is y= 4/3x
How to determine the line equation?The equation is given as:
y = -3/4x + 1
The slope of the above equation is;
m = -3/4
Let the slope of the perpendicular line be n.
So, we have:
n = -1/m
This gives
n = -1/(-3/4)
Evaluate
n = 4/3
The equation of the line is then calculated as:
y = n(x - x1) + y1
This gives
y = 4/3(x - 9) + 12
Evaluate
y= 4/3x - 12 + 12
Evaluate the like terms
y= 4/3x
Hence, the equation of the perpendicular line is y= 4/3x
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The equation of the line that is perpendicular to the line y=-3/4x+1 and passes through the point (9,12) is y = 4/3x + 1.
Explanation:To solve your question, we first need to identify the slope of the given line. The equation y=-3/4x+1 is in the form y=mx+b, where m represents slope. So, the slope of the given line is -3/4.
But we require an equation that's perpendicular to this line, so its slope will be the negative reciprocal of -3/4, which is 4/3. Now, we have the slope of the new line, and we know it passes through point (9,12).
With that information, we use the point-slope formula, y - y1 = m (x - x1), where m is the slope and (x1, y1) is the point through which the line passes. Here, x1=9, y1=12 and m=4/3. Substituting these values in gives us y - 12 = 4/3 (x - 9). Simplifying yields the equation y = 4/3x + 1, which is the equation of the line that is perpendicular to the given line and passes through the point (9,12).
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if you know that 7 - square root 5 is it root of a polynomial function
Answer:
As you must know, If one root of the polynomial 7-√5, the other will be 7+√5 i.e irrational root occur in pairs.
A polynomial function cannot have single unreal i.e irrational root. It always occur in pairs.
So , consider a polynomial function of any degree, if it has a root 7-√5, then it must have another root as 7+√5.
A polynomial can't have 7-√5 as a single root.
I need help finding the common difference for 3 !
how long would it take?
To find how long it would take, you must divide the total amount of gallons of water in the pond by the amount of gallons drained per hour. This would translate to:
4290 ÷ 78
Which would give you the total amount of hours needed to completely drain the pool, aka the answer:
4290 ÷ 78 = 55
3x +5 = 2x+8 how do i solve?
Answer,
X = 3
Explanation,
Subtract 5 from both sides.
3x+5-5=2x+8-5
Simplify.
3x=2x+3
Subtract 2x from both sides.
3x-2x=2x+3-2x
Simplify.
x=3
Hope this helps :-)
Solve this 2 system equations 2x - y = 7 and 6x - 3y = 14
Answer:
No solution
Step-by-step explanation:
Consider the given two lines
2x-y = 7 and 6x-3y = 14
Multiply the first equation by 3
6x-3y = 21 and Ii equation is 6x-3y =14
We observe both are of the 6x-3y = k for different ks
Hence these two are parallel lines.
As parallel lines never meet these line will not meet at all.
There cannot be any solution for this system.
If we subtract 6x-3y = 21 from 6x-3y = 14, we get absurd result as
0 = 7
This confirms that this system cannot be solved.
Simplify the expression. Write your answer as a power.
(b^12)^3
Hello Tim!
[tex](b^1^2)^3\\[/tex]
First you had to apply exponents rule.
[tex]b^1^2^*^3[/tex]
Refine it should be the correct answer.
[tex]=b^3^6[/tex]
Answer⇒⇒⇒b³⁶
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
What is the median for the bar graph below?
6
5
4
3
Hi!
Median:
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6,
Answer - D. 3
convert 6/9 into a fraction with d
enominator of 27
To convert the fraction 6/9 to a fraction with a denominator of 27, multiply both the numerator and denominator by 3. The resulting fraction is 18/27.
Explanation:To convert the fraction 6/9 into a fraction with a denominator of 27, first identify the multiplication factor that changes 9 into 27. In this case, it's 3 (because 9*3 = 27). You need to maintain the fraction equivalent by applying the same operation to the numerator. So, multiply 6 by 3 to get 18. Therefore, the equivalent fraction of 6/9 with a denominator of 27 is 18/27.
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Tin A has red paint and blue paint in the ratio 2:3. Tin B has red paint and blue paint in the ratio 4:5. Which tin has the greater proportion of blue paint? Explain how you know.
Mrs. Santos has 24 students in her class. Five-eighths of her students have nicknames. Mr. Russo also has 24 students in his class. Only one-third of his students have nicknames. How many students from Mrs. Santos' class and Mr. Russo's class do not have nicknames?
In Mrs. Santos' class, five-eighths of the students have nicknames, meaning that three-eighths don't have nicknames. Three-eighths of 24 is 9, so 9 students don't have nicknames.
In Mr. Russo's class, one-third of the students have nicknames, meaning that two-thirds don't have nicknames. Two-thirds of 24 is 16, so 16 students don't have nicknames.
Therefore, there are 9 students from Mrs. Santos' class and 16 students from Mr. Russo's class who don't have nicknames.
What is ten times two?
Answer:
10x2=20
Step-by-step explanation
you add 10 2 times and you get 20 a more simple way of getting the answer.
Hope this helped =)
Basic geometry help please !
Find the missing angle measurements.
The options are :
60°, 64°, 45°, 49°, 53°
Answer:
Top right ?- 60
? above 64- 64
Bottom left- 45
Step-by-step explanation:
Triangles equal 180.
The question mark above 64, the 64 and ? are congruent so the question mark is 64.
The question mark in top right, add 64+56=120. Since triangles equal 180, subtract 180-120=60
The question mark in bottom left, add 64+71=135. Since triangles equal 180, subtract 180-135=45
Hope it helps!
The value of the three missing angles are 45°, 60°, and 64°.
We have,
From the figure,
we have vertical angles.
So,
One missing angle is 64°.
Now,
There are two triangles.
The sum of angles in a triangle is 180.
So,
56 + 64 + x = 180
x = 180 - 56 - 64
x = 60°
And,
The sum of angles in a triangle is 180.
So,
71 + 64 + y = 180
y = 180 - 71 - 64
y = 45°.
Thus,
The value of the three missing angles are 45°, 60°, and 64°.
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A football team lost 9 yards during a play the team had a combined gain or loss of 0 yards after the next play what interger represents the yards gained or lost on the next play ? Show this on the number line .
Answer:
The integer represents the yards gained or lost on the next play is 9.
The required number line is shown in figure 1.
Step-by-step explanation:
Consider the provided information.
A football team lost 9 yards during a play.
Represent Lost with a negative sign.
Thus, lost of 9 yards can be written as: -9 (As shown in the provided figure)
Now it is given that the team had a combined gain or loss of 0 yards after the next play.
Let they gain or lost x score in next play.
-9 + x = 0
Add both the sides by 9
x = 9
It means team must gain 9 yards.
So, the integer represents the yards gained or lost on the next play is 9.
Now represent this on number line.
Move 9 digit right to -9.
The required number line is shown in figure 1:
PLEASE HELP 98 POINTS!!!!!!
What is the reason for each step in the solution of the equation?
19=5x−1
Drag and drop the reasons into the boxes to correctly complete the table.
19=5x−1
20=5x
4=x
Combine Like Terms, Division Property of Equality, Addition Property of Equality, Commutative Property, Given
19 = 5x - 1
Solve for x.
Note the equal sign. What you do to one side, you do to the other. Isolate the x. Do the opposite of PEMDAS.
=> Addition Property of Equality.
Add 1 to both sides
19 = 5x - 1
19 (+1) = 5x - 1 (+1)
=> Combine like terms
Add 19 and 1
19 + 1 = 5x
20 = 5x
=> Division property of equality
Divide 5 from both sides
(20)/5 = (5x)/5
x = 20/5
x = 4
----------------------------------------------------------------------------------------------------------------------------
hope this helps
~Rise Above the Ordinary
Its super duper easy but please help!
Answer:
each person would get 4 with 4 left over
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
24/3=8
What is the value of the expression evaluated for x = 12?
Answer:
A)-26
Step-by-step explanation:
Answer:
-26
Step-by-step explanation:
An automobile saleswoman earns 12% on all of her sales. Last month, she sold 3 cars for a total sales amount of $28,950. What is her commission?
Answer:
3474
Step-by-step explanation:
28,950/100=289.5 289.5*12=3474
The total commission earned by the saleswomen on the sales of three cars is $3474.
What is the meaning of the term commission?Sales commission is an important component of sales compensation. It is the sum of cash earned by a salesperson according to the number of sales made. This is extra money that often supplements a regular salary.For the given question;
Total commission on the sales of an automobile by saleswomen is 12%.
Total last month sales = $28,950.
Then,
12% of $28,950 is;
= 12 × $28,950 / 100
= $3474
Thus, the total commission earned by the saleswomen on the sales of three cars is $3474.
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Evaluate the expression using properties of operations.
-1.2 ÷ 1/6 * 5 * (-2)
A. -72
B. 2
C. 72
D. 120
Answer:
I would say C 72 you because I took test on and I made 100
1. Identify a pair of alternate exterior angles.
a. <3 and <4
b. <1 and <2
c. <1 and <6
d. <2 and <6
*i think it's d. So I just need to know if it's incorrect or correct.
Answer:
d. ∠2 and ∠6
Step-by-step explanation:
Definition : Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.
Option a. ∠3 and∠4
These angles are interior angles.
Option b . ∠1 and∠2
These angles are linear pair.
Option c . ∠1 and ∠6
These angles are outer angles
Option d . ∠2 and ∠6
According to the definition of alternate evterior angles . ∠2 and ∠6 are alternate exterior angles
Hence Option d is pair of alternate exterior angles.
Answer:
d. ∠2 and ∠6
Step-by-step explanation:
What is 12 divided by 9.6
1.25
hope this helps ya :)
Alex buys 5.5 yards of blue fabric and 4.5 yards of red fabric. If the blue and red fabric cost the same amount per yard, and alex pays $74 for all of the fabric, what is the cost per yard?
$7.40, if you add 5.5 and 4.5 it will equal 10. Then you divide 74 by 10.
Answer:
7.50
Step-by-step explanation:
I had this b4
What value of x makes the equation -5x - (-7 - 4x) = -2(3x - 4) true?
Answer:
x=1/5
Step-by-step explanation:
-5x-(7-4x)=-2(3x-4)
-5x+7+4x=6x-8
-5x+6x+4x=5x = 8-7=1
5x = 1
1/5 = x
x = 1/5
How to solve 2^x = 550?
2 squared X= 550
x = 550 square root
x=23.45
The solution to the equation [tex]2^x[/tex] = 550 is x ≈ 9.0959.
To solve the equation [tex]2^x[/tex] = 550, we need to isolate the variable 'x'. Here's the step-by-step process:
1. Take the logarithm (base 2) of both sides of the equation:
log2([tex]2^x[/tex]) = log2(550)
Using the property of logarithms, logb([tex]b^x[/tex]) = x, we have:
x = log2(550)
2. In this case, since we want to find x, we can use the logarithm function with base 2:
x ≈ log2(550) ≈ 9.0959
Therefore, the solution to the equation [tex]2^x[/tex] = 550 is x ≈ 9.0959.
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Graph the inequality y> 2x +3
Graph the inequality y> 2x +3
Solution
Step 1: To graph the inequality, we need to find a few coordinates and form the table.
Step 2: Forming the table.
Let's take x = -1 and find the value of y.
Plug in x = -1 and find the value of y.
y = 2(-1) + 3 = -2 + 3 = 1
When x = -1, the value of y is 1.
So the coordinates are (-1, 1)
Plug in x = 0 and find the value of y.
y = 2(0) + 3 = 3
The coordinates are (0, 3)
Plug in x =1 and find the value of y.
y = 2(1) + 3 = 2 + 3 = 5
The coordinates are (1, 5)
Steo 3: Now let's plot the points and draw the graph.
Since the graph is greater than, we have to draw the dotted lines and shade the region above.
Note: You can find the graph in the attachment.
Thank you :)