[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$920\\ P=\textit{original amount deposited}\dotfill & \$600\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &12 \end{cases}[/tex]
[tex]920=600e^{\frac{r}{100}\cdot 12}\implies \cfrac{920}{600}=e^{\frac{3r}{25}}\implies \cfrac{23}{15}=e^{\frac{3r}{25}}\implies \log_e\left( \cfrac{23}{15} \right)=\log_e\left( e^{\frac{3r}{25}} \right) \\\\\\ \ln\left( \cfrac{23}{15} \right)=\cfrac{3r}{25}\implies 25\cdot \ln\left( \cfrac{23}{15} \right)=3r\implies \cfrac{25\cdot \ln\left( \frac{23}{15} \right)}{3}=r \\\\\\ 3.5620\approx r\implies \stackrel{\%}{3.56}\approx r[/tex]
What is an equation of the line that passes through the point (-7, -6) and is parallel to the line x-y=7?
If you’re answer is correct, I WILL GIVE BRAINLIEST!!! Thank you!:)
Answer:
Step-by-step explanation:
For two lines to be parallel their slopes must be equal. For two lines to be perpendicular their slopes must be the negative reciprocal of each other.
Step 1 Find the slope of the equation.
Put it into the slope-intercept form. y = mx + b.
For x-y = 7, move the x to the left; therefore subtract the x from both sides. this leaves you -y = -x + 7
Then, divide both sides by -1 to get a positive y. -y/-1 = (-x + 7)/-1
This leaves y = x - 7 The slope(m) for this equation is m = 1
The other equation must also have a slope of 1 or m=1 for the lines to be parallel.
Use the point given to you (-7, -6) and substitute for (x, y)
The slope-intercept form y = mx + b can once again be used.
x = -7, y =-6, and slope or m = 1
Therefore, y = mx + b substituted will be -6 = (1)(-7) + b; now, solve for b which is the y intercept
-6 = -7 + b add 7 to both sides -6 +7 = -7 + b +7 ; therefore, b = 1
Now you know the slope(m) which is equal to 1 and the y-intercept(b) which is equal to 1.
Finally, substitute the m and b in the slope-intercept form
y = (1)x + 1 or y = x +1
Plz help with my math problem plz
Answer:
x = 4√2
Step-by-step explanation:
if its a square, all sides similar of 4 units.
then the bottom and side length is 4 units
we need to find x, the diagonal.
formula: a²+b² =c²
: 4² + 4² = c²
: c = √16+16
: c = √32
: 4√2
Therefore x, the diagonal is 4√2
-3x(7x-4)+6x-(13-24x²)
Answer:
[tex]3x^2+18x-13.[/tex]Step-by-step explanation:
Step 1:
Equation should be:
[tex]((0-(3x*(7x-4)))+6)-(13-(2^3*3x^2))[/tex]Step 2:
Equation should be:
[tex]((0-3x*(7x-4))+6x)-(13-24x^2)[/tex]Step 3:
Factoring [tex]3x^2+18x-13[/tex]The first term is [tex]3x^2[/tex]. It's coefficient is 3.The middle term is +18x, it's coefficient is 18.The last term, "the constant", is -13.Step 1:
Multiply the coefficient of the first term by the constant 3 * -13 = -39Step 2:
Find two factors of -39 whose sum equals the coefficient of the middle term, which is 18 . -39 + 1 = -38 -13 + 3 = -10 -3 + 13 = 10 -1 + 39 = 38 Observation : No two such factors can be found !!Conclusion : Trinomial can not be factoredSolution:
[tex]3x^2 + 18x - 13[/tex].Answer:
[tex]\boxed{\tt \tt 3x^2+18x-13}[/tex]
Step-by-step explanation:
[tex]\tt -3x(7x-4)+6x-(13-24x^2)[/tex]
Apply the Distributive Property
[tex]\tt -3x\left(7x-4\right)+6x-13+24x^2[/tex]
Multiply, -3 by (7x-4):
[tex]\tt -21x^2+12x+6x-13+24x^2[/tex]
Combine like terms:
[tex]\tt (-21x^2+24x^2)+(12x+6x)-13[/tex]
[tex]\tt 3x^2+18x-13[/tex]
___________________________
At Levi's restaurant and bakery, each cake is cut into 16 pieces.
Let c represent the number of cakes and p represent the total pieces of cake.
Complete the table using the equation p = 16c.
с
р
7
8
9
144
10
Use green's theorem to find integral subscript c left parenthesis y space plus space e to the power of square root of x end exponent right parenthesis d x space plus space left parenthesis 2 x plus cos open parentheses y squared close parentheses right parenthesis d y, where c is the boundary of the region bounded by the parabola y = x2 and the lines y = 0 and x = 1. A right parenthesis space e plus cos left parenthesis 1 right parenthesis b right parenthesis space e minus cos left parenthesis 2 right parenthesis c right parenthesis space e to the power of 1 divided by 2 end exponent minus cos left parenthesis 4 right parenthesis d right parenthesis space e to the power of 1 divided by 2 end exponent plus cos left parenthesis 1 right parenthesis e right parenthesis space 1 third.
My best interpretation of the math here is that you're talking about the line integral,
[tex]\displaystyle \int_C \left(y+e^{\sqrt x}\right) \, dx + \left(2x + \cos\left(y^2\right)\right) \, dy[/tex]
I won't bother trying to decipher what look like multiple choice solutions.
By Green's theorem, the line integral above is equivalent to
[tex]\displaystyle \iint_D \frac{\partial\left(2x+\cos\left(y^2\right)\right)}{\partial x} - \frac{\partial\left(y+e^{\sqrt x}\right)}{\partial y} \, dx \, dy[/tex]
where D is the set
[tex]D = \left\{ (x, y) : 0 \le x \le 1 \text{ and } 0 \le y \le x^2 \right\}[/tex]
Compute the double integral:
[tex]\displaystyle \int_0^1 \int_0^{x^2} \left(2 - 1\right) \, dy \, dx = \int_0^1 \int_0^{x^2} dy \, dx = \int_0^1 x^2 \, dx = \boxed{\frac13}[/tex]
if 1/2 a number is 5 more than 1/7 of that number, what is the number?
Answer:
14
Step-by-step explanation:
1/2x = 1/7x + 5
1/2x - 1/7x = 5
7/14x - 2/14x = 5
5/14x = 5
x = 5 * 14/5
x = 14
3х — 5y = 17
4х + 7y = 9
О (4, 1)
(4, -1)
(74,-41)
(74, 41)
Answer:
(4,-1)
Step-by-step explanation:
See attachment
McKayla can type 342 words in 4 minutes. Find the unit rate in words per minute.
The answer isn't a whole number but the answer is 85.5.
I need help on this one, I got 3 penalty's and if I get anymore Imma break down and start crying and get mad, I know that sounds childish but it's true :|
Step-by-step explanation:
-8 < -2 < 4 < 18, so 2nd answer must be the right one!
I need help ASAP;
Algebra 1: I think it's about exponential growth.
Answer:
Step-by-step explanation:
The given equation assumes a 12 cubic inch initial volume. The question wants to know when, in minutes, the volume, y, reaches 36 in^3:
y = 12*(2)^(t/60), where t is time in minutes
Therefore:
36 = 12*(2)^(t/60)
3 = (2)^(t/60)
log(3) =(60/t) log(2)
t = 60log(3)/log(2)
t = 95.1 minutes
The price of a wardrobe is decreased by 38% and now is $27.28.
Find the original price.
PLEASE HELP
Answer:
let the original price be 100%
then,100%-38%=62%
if 38% decrease =$27.28
let,62%decrease=x
by cross multiplying and dividing
x=$44.51 decrease
the sum of the %decrease=100%
also$44.51+$27.28=original price=$71.79
Brian gets £x wages each week. After he pays his tax of £t, he then pays his rent of £155. He shares what's left between himself and his wife. How much do they each get?
Answer:
[tex]\frac{1}{2}(x-t-155)[/tex]
Step-by-step explanation:
Total wages: [tex]x[/tex]
Pays tax [tex]t[/tex]: [tex]x-t[/tex]
Pays rent of 155: [tex]x-t-155[/tex]
Shares what's left between 2: [tex]\frac{x-t-155}{2}[/tex]
So each gets: [tex]\frac{1}{2}(x-t-155)[/tex]
Answer to these 2 questions pls fast!
Step-by-step explanation:
17.
an addition is commutative. that means the sequence of the arguments of the operation does not matter (as long as the arguments are truly the same).
7x + 1 = 1 + 7x
1 = 1
0 = 0
is all true for any and every value of x.
so, yes, that's how I know that the expressions are equivalent.
18.
no, the case of 17 does not apply, because she changed the arguments of the addition (not just the sequence).
to check :
7x + 1 = 1x + 7
6x = 6
x = 1
this is true for exactly one value of x. but definitely not fit every value of x.
and so, these 2 existing are not equivalent. they are 2 different functions with a crossing point.
Brainly i need help on this question pls look at the image k12
1% of 300 is 3
So 64% of 300 is 192
========================================
Further explanation:
To take 1% of 300, we just chop off the extra zeros. So that's how I got 3.
To go from 1% to 64%, that's a jump of "times 64". Meaning you multiply that '3' by 64 to get 64*3 = 192.
Notice that 192/300 = 0.64 = 64% to confirm the answer.
the smallest natural number that 360 must be multiplied by to get a square number
Answer:
10
Step-by-step explanation:
Step 1: do prime factorisation of 360
360=2 ×2×2×3×3×5
Step 2: make pair of 2 same digits
Step 3: now multiply unpaired no.
5×2=10
so your answer is 10
2 and 3 are what kinds of angles?
Answer:
angle 2 and 3 are vertical angles
Step-by-step explanation:
because they are opposite angles made from two intersecting lines.
Identify the type of function that models the situation below:
A can of coffee is supposed to contain one pound of coffee. Which function can be used to describe the difference in the actual weight of the coffee as compared to 1 pound?
a.
greatest integer function
c.
absolute value function
b.
step function
Please select the best answer from the choices provided
A
B
C
Answer:
C
Step-by-step explanation:
c is the correct option
helpppppppppppppppppppppppppppppp
Answer:
35
Step-by-step explanation:
The angle is reflected.
The population of the Maldives was 390 000 at the start of 2009. The population
growth rate is 5.6% each year. Estimate the size of the population at the start of 2015.
Step-by-step explanation:
start with 390 000x 5.6 x 6
What’s the height of the trapezoid if the area is 26 ft2?
Answer:
The height of the trapezoid would be 4 ft.
If you solve this equation,
2*26/5+8 ,
you'll get the answer.
First do the multiplication, then the subtraction, and finally the division.
A coffee table is on sale for 20% off the original price of $115. If there is 7.5% sales tax, what is the final price of the coffee table? HURRY ILL GIVE BRAINLIEST IF CORRECT
Answer:
98.9
Step-by-step explanation:
115 - 20% = 92
92 + 7.5% = 98.9
Answer:
the original price is 115 after we subtract 20% we are left with 92 so now
the price of the coffee table is 92 but with 7.5% as tax, the final price is $98.90 since 7.5% of 92 is 6.90
What is the scale factor in dilation?
A). 1/6
B). 1/3
C). 3
D). 6
HELP meeeeeeeeeeeeeeeeeeeeee
The swim team members each swam less than 55 yards as a warm up Saturday morning.
Answer:Whats the prompt so I know what to do?
Step-by-step explanation:
can i use some help? im really confused on how to show my work and all
Percent: A number ratio expressed as a fraction of 100
Thus, 25% means 25 out of 100.
25 out of 100 = 25/100
Greatest common factor of 25 and 100 = 25
25 / 25 = 1
100 / 25 = 4
Answer: 1 / 4
Hope this helps!
HELPP URGENT!!! NOWW!!!!!!!! 30 POINTS!!!!!!!!!!
Answer:
y= 6x
Step-by-step explanation:
Slope is 6
find an equation in point-slope form form the line having the slope m = -4 and containing the point (3,5)
Answer:
y = 17 - 4x or y = 17 + (-4x)
Step-by-step explanation:
Plug the slope (m) into the equation y=mx+b so it becomes y = -4x + b
Then see how much your line changed from the point to the y-axis. In this case, it changed by negative 12. So you have to go up 12 points to reach the y-intercept. (5+12=17)
Then, plug that number into the equation.
y = 17 - 4x
true or false pls no guessing
Answer:
True
Step-by-step explanation:
5 X 5 X 5 = 125 because 5 X 5 would be 25. And 25 X 5 would be 125.
Answer:
5 x 5 x 5 is 125 so true
Step-by-step explanation:
can someone answer this
Answer:
a is 24 b is 24 and c is m. ..
determine if each statement must be true could possibly be true or definitely not true explain or show your reasoning
a. isosceles triangles are similar b. equilateral triangles are similar
Answer:
Equilateral triangles are always similar, whereas isosceles triangles are not necessarily comparable.
The angles in one triangle must have the same values as the angles in the other triangle for two triangles to be identical. The lengths of the sides must be proportional.
Both may be isosceles, however one may have 30°, 30°120° angles and the other may have 20°, 20° 140° angles.
As a result, isosceles triangles are not necessarily comparable.
Because equilateral triangles always have three angles of 60 degrees apiece, any
All equilateral triangles are always similar and isosceles triangles are not always similar.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
A) No, all isosceles triangles are not similar. An isosceles triangle is a triangle with two sides of equal length. For all isosceles triangles to be similar, it would have to be the case that the ratios comparing the lengths of corresponding sides of all isosceles triangles are the same.
B) Yes. All equiangular triangles are similar. In geometry, we have a nice theorem that allows us to determine if two triangles are similar using the measures of their corresponding angles.
All equilateral triangles are always similar. Similar triangles are always congruent.
Therefore, all equilateral triangles are always similar and isosceles triangles are not always similar.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
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