[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7300\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &5 \end{cases} \\\\\\ A=7300\left(1+\frac{0.042}{4}\right)^{4\cdot 5}\implies A=7300(1.0105)^{20}\implies A\approx 8996[/tex]
please help me with this, please write explanation
Answer:
I thino the awnser is 103.5
Step-by-step explanation:
Answer:
[tex]let \:A= The\: amplitude\: of\: the\: graph \\ because \: \: \: a = \frac{1}{2} (y \: axis - y \: axis) \\ therefore \: \: a = \frac{1}{2} (0 - ( - 41) = 2[/tex]
can someone help me with this question?
Answer:
The answer is D.
Step-by-step explanation:
The cost of a jacket increased from $65.00 to $77.35. What is the percentage increase of the cost of the jacket?
A.
81%
B.
19%
C.
12.35%
D.
1.9%
Answer:
B
Step-by-step explanation:
The answer is B 19%.
Answer:
b.19%
Step-by-step explanation:
hope this will help you
Is it no because x is a not a real number?
Answer:
x is not a number it can be a variable like 1x+2x=3x
Problem 4: Solve the initial value problem
[tex]y' = (y + 1)(y - 2)[/tex]
[tex]y(0) = 1[/tex]
Separate the variables:
[tex]y' = \dfrac{dy}{dx} = (y+1)(y-2) \implies \dfrac1{(y+1)(y-2)} \, dy = dx[/tex]
Separate the left side into partial fractions. We want coefficients a and b such that
[tex]\dfrac1{(y+1)(y-2)} = \dfrac a{y+1} + \dfrac b{y-2}[/tex]
[tex]\implies \dfrac1{(y+1)(y-2)} = \dfrac{a(y-2)+b(y+1)}{(y+1)(y-2)}[/tex]
[tex]\implies 1 = a(y-2)+b(y+1)[/tex]
[tex]\implies 1 = (a+b)y - 2a+b[/tex]
[tex]\implies \begin{cases}a+b=0\\-2a+b=1\end{cases} \implies a = -\dfrac13 \text{ and } b = \dfrac13[/tex]
So we have
[tex]\dfrac13 \left(\dfrac1{y-2} - \dfrac1{y+1}\right) \, dy = dx[/tex]
Integrating both sides yields
[tex]\displaystyle \int \dfrac13 \left(\dfrac1{y-2} - \dfrac1{y+1}\right) \, dy = \int dx[/tex]
[tex]\dfrac13 \left(\ln|y-2| - \ln|y+1|\right) = x + C[/tex]
[tex]\dfrac13 \ln\left|\dfrac{y-2}{y+1}\right| = x + C[/tex]
[tex]\ln\left|\dfrac{y-2}{y+1}\right| = 3x + C[/tex]
[tex]\dfrac{y-2}{y+1} = e^{3x + C}[/tex]
[tex]\dfrac{y-2}{y+1} = Ce^{3x}[/tex]
With the initial condition y(0) = 1, we find
[tex]\dfrac{1-2}{1+1} = Ce^{0} \implies C = -\dfrac12[/tex]
so that the particular solution is
[tex]\boxed{\dfrac{y-2}{y+1} = -\dfrac12 e^{3x}}[/tex]
It's not too hard to solve explicitly for y; notice that
[tex]\dfrac{y-2}{y+1} = \dfrac{(y+1)-3}{y+1} = 1-\dfrac3{y+1}[/tex]
Then
[tex]1 - \dfrac3{y+1} = -\dfrac12 e^{3x}[/tex]
[tex]\dfrac3{y+1} = 1 + \dfrac12 e^{3x}[/tex]
[tex]\dfrac{y+1}3 = \dfrac1{1+\frac12 e^{3x}} = \dfrac2{2+e^{3x}}[/tex]
[tex]y+1 = \dfrac6{2+e^{3x}}[/tex]
[tex]y = \dfrac6{2+e^{3x}} - 1[/tex]
[tex]\boxed{y = \dfrac{4-e^{3x}}{2+e^{3x}}}[/tex]
please help me with this
Answer:
30
Step-by-step explanation:
Use PEMDAS
parentheses is first
3+7=10
There's no exponents
You have to do it in order from left to right
6÷2=3
3*10=30
Answer:
The answer is 30.
First, start with 3 plus 7...that gives you 10. Then, 6 divided by 2 is 3. Lastly, multiply 10 by 3 and you've got 30!
If you can, please mark me brainliest!
Kent paid $24.64 to ship 11 packages. Each package was the same size and weight. How much did it cost to ship one package?
Answer:
2.24
Step-by-step explanation:
Well...Ummm I don't know how to exactly explain it but I'll try
11 x 2.24=24.64 or you can do division and do 24.64 divided by 2.24=24.64
Six times the sum of a number and 20 is at least 26. Use the variable b for the unknown number.
Answer:
6(b + 20) ≥ 26
Step-by-step explanation:
6(b + 20) ≥ 26
Answer:
6(b + 20) ≥ 26
b ≥ -15 2/3
Step-by-step explanation:
6(b + 20) ≥ 26
6b + 120 ≥ 26
6b ≥ -94
b ≥ -15 2/3
Kenzie bakes 9 oatmeal cookies. Kenzie bakes 7 fewer
cookies than Lisa. How many oatmeal cookies does
Lisa bake?
Answer:
16 oatmeal cookies
Step-by-step explanation:
We can represent this situation as an equation.
L - 7 = 9 L represents Lisa's cookies, (-7) represents 7 fewer cookies, and 9 represents Kenzie's cookiesStep 1: Add 7 to both sides.
[tex]L-7+7=9+7[/tex] [tex]L=16[/tex]Therefore, Lisa baked 16 oatmeal cookies.
look at the simultaneous equations: x+y=a and 2x+y=b. write an expression for x in terms of a and b. write and expression for y in terms of a and b, giving your answer as simply as possible
An expression for x in terms of a and b is y = b - 2x and an expression for y in terms of a and b is y = 2a - b.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A system of equations x + y = a and 2x + y = b.
Now,
x + y = a.
x = a - y and y = a - x.
2x + y = b.
2x = b - y.
x = (b - y)/2.
y = b - 2x.
An expression for x in terms of a and b is,
x + y = a
x + b - 2x = a.
- x = a - b.
x = b - a.
An expression for y in terms of a and b is,
2(a - y) + y = b.
2a - 2y + y = b.
2a - y = b.
- y = b - 2a.
y = 2a - b.
learn more about numerical expressions here :
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#SPJ2
Which statement is true?
A The value of x is 116, because the two angles shown add up to 180
B. The value of x is 64 because the two angles shown are congruent
C. The value of x is 26. because the two angles shown are complementary
D. The value of x is less than 90 because the two angles shown are acute angles
Answer:
A
Step-by-step explanation:
Sum of angles in a straight line is 180°
180° - 64° = 116°
Evaluate the following for x =2and y=5.
5xy^2-2
Without using a calculator simplify (a) √3×√3 (b) 3√6 × 4√6 (c) (2√7)² (d) ²√5 × ²√5 × ²√5
Answer:
Surds
√3×√3 =3
3√6 × 4√6 =12 × 6= 72
(2√7)²=(2√7)(2√7)=4+2√7+2√7+7=4√7 +11
√5 ×√5 ×√5 =5√5
Which expression is a fourth root of -1 + i sqrt{3} please help
Answer:
r e^iT = r cos T + i r sin T
r cos T = -1
r sin T = sqrt 3
30, 60 90 triangle in second quadrant r = 2, T = 180-60 = 120
so
2e^120i
foruth root is 2^.25 e^(120/4)i
2^.25 e^30 i
2^.25 ( cos 30 + i sin 30)
Step-by-step explanation:
What is the slope of the line represented by the equation y = -1/2x + ¼?
Given :-
y = -1/2x + 1/4To Find :-
The slope of the equation .Solution :-
Here a equation is given to us and we need to find out the slope of the line . The given equation is ,
→ y = -1/2x + 1/4
We know that slope intercept form of the line is ,
→ y = mx + c
where m is the slope of the line .
On comparing ,
→ m = -1/2
Hence the slope of the line is -1/2.
I hope this helps .
Evan has 381 bagels to put into packages. Each package must hold 6 bagels. How many packages of bagels can Evan make? How many bagels will be left over?Enter your answers in the boxes. Evan can make ___________ packages with __________ bagels left over. what goes on the blank spaces its for 30 pts please help
Based on the division computed, the number of packages is 63 and there will be a remainder of 3.
How to solve divisionFrom the question, we are informed that Evan has 381 bagels to put into packages and that each package must hold 6 bagels.
The number of packages will be:
= 381/6
= 63 packages
It should also be noted that there will be a remainder of 3 bagels left.
Learn more about division on:
https://brainly.com/question/25289437
Answer: The number of packages is 63 and there will be a remainder of 3
Step-by-step explanation:
Translate the sentence into an equation.
Twice the difference of a number and 7 is equal to 9 .
Use the variable Y for the unknown number.
Answer:
equation: 2(Y-7) = 9
Here the number is twice the difference.the difference is 7, so Y - 7Equals to 9.Write the ratio as a fraction in the simplest form.
The ratio of 96 cent to 20 cents is
The ratio of the fraction in the simplest form is 24 /5.
What are fractions?
Fractions are non integers. They are made up of and denominators. An example of a fraction is 2/3. 2 is the numerator and 3 is the denominator.
In order to express in the simplest form, divide both the numerator and denominator by similar factors.
96 : 20 = 96/20 = 24/5
To learn more about fractions, please check: https://brainly.com/question/1114498
The measures of the angles of triangle ABC are in the ratio 2:4:9. What are the measures of the angles.
help
Answer:
let the angle be x
Step-by-step explanation:
then,
angle1=2x
angle2=4x
angle3=9x
sum of all angles i triangle is 180
then
2x+4x+9x=180
15x=180
x=12
angle1=2*12=24
angle2=4*12=48
angle3=9*12=108
please help now it kinda important i get it done soon or i cant go to a dance for my school tomorrow. im begging u ill give u 5 stars and a thanks and maby even a showt out thats how much this means to me.
Which number does not
belong to the pattern below? Explain.
5,470, 547, 54.7, 0.547
If a> 1 then prove that a^2>1
Step-by-step explanation:
a² = a × a
a > 1
a² = (1+d) × (1+d) = 1² + 2d + d²
with d > 0
since d > 0, then so is 2d and also d².
so, a² is the sum of 1² = 1 and something greater than 0.
so, a² > 1
Would be appreciated if someone could help on this transformation question
A. -105
B. -75
C. 75
D. 105
Answer:
B. -75
Step-by-step explanation:
Consider segments AC and A'C'. Point A' is clockwise from point A by an amount less than 90°. Positive angles are measured counterclockwise, so this suggests the angle of rotation is about -75°.
__
In the attached, we have used the invariant point on segments AC and A'C' as the vertex of the angle we want to measure. The angle between the lines appears to be about 75°, matching the answer choices.
if 9<15mx-8<27, where m is a positive constant, what is the possible range of values of 8/3 -5mx?
Answer:
Any value greater than -9 and less than -3
Step-by-step explanation:
Explained and uploaded
Rewrite the mixed number as an improper fraction.
Answer:
12/4. & 22/5
Step-by-step explanation:
3 2/4 you have to multiply 3x4 which equals to 12 then you add 2. your answers is 14 but you need to keep the denominator 4. your final answer is 12/4. this is the improper fraction. you do the same to 4 2/5.
In △ABC,c=9, m∠B=65°, and a=105. Find b.
Answer:
Step-by-step explanation:
b² = a² + c² - 2ac × cos (m∠B)
b² = 105² + 9² - 2(9)(105)cos65°
b ≈ 101.5
PLEASE HELP FOR MY MATH PROJECT
A family with 3 adults and 3 children purchase 6 lines each for $35 at ATT. Another family with 2 adults and 4 children purchase 6 lines each for $25 at A-Mobile. Solve for X and Y
what does X and Y represent? I've solved this equation (i got 65 and 5) what do they represent?
Answer:
Step-by-step explanation:
X would be adults Y would be children
3x+3y=35
2x+4y=25
One of the variables have to be equal to each other. So multiply all the terms in the bottom equation by 1.5
You get 3x+6y=37.5
Subtract one equation from another
3x+3y=35
3x+6y=37.5
You get 3y=2.5
Divide both sides by 3
y = 5/6
Now do the same but for X
Multiply the equation by 4/3
4x+4y=46 2/3
Minus the other equation
2x=21 2/3
Divide by 2
x = 10 5/6
Plug numbers in to double check, and they check out
1. Physicians There are about 900,000 active physicians in the United States, and they have annual incomes with a distribution that is skewed instead of being normal. Many different sam- ples of 40 physicians are randomly selected, and the mean annual income is computed for each sample.
a. What is the approximate shape of the distribution of the sample means (uniform, normal, skewed, other)?
b. What value do the sample means target? That is, what is the mean of all such sample means?
Using the Central Limit Theorem, it is found that:
a) The shape is approximately normal.
b) It targets the population mean.
Central Limit TheoremThe Central Limit Theorem establishes 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 sampling distribution is also approximately normal, as long as n is at least 30.
Item a:
The variable is skewed, however, the sample size is greater than 30, hence the approximate shape of the distribution is normal.
Item b:
According to the mean of the sampling distributions, given by the Central Limit Theorem, it targets the population mean.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
I already tried D but it wasnt correct
Answer:
A. E bisects AB and CD
Step-by-step explanation:
If E is a bisector, it creates two pairs of congruent sides. The included angles are congruent because they are vertical angles. The triangles will be congruent by SAS.
An equivalent fraction to 5/16 is 10/32 correct?
Answer:
correct
Step-by-step explanation:
Yes.
You multiply both 5 and 16 by the same number, 2, to get 10/32.