[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 &\$16000\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=16000\left(1+\frac{0.036}{4}\right)^{4\cdot 20}\implies A=16000(1.009)^{20}\implies A\approx 19100[/tex]
y = 5 and x = -1
Is it parallel,perpendicular or neither
Answer: Perpendicular
y = 5 is a horizontal line through 5 on the y axis
x = -1 is a vertical line through -1 on the x axis
Jose invested $5,100 in an account paying an interest rate of 8 % compounded
quarterly. Michael invested $5,100 in an account paying an interest rate of 83%
compounded monthly. To the nearest dollar, how much money would Michael have
in his account when Jose's money has doubled in value?
Answer:
I think he will have 6,56$
Solve equation by using the quadratic formula.
9x^2+ 7x = 0
Answer:
x = 7/9 or 0
Step-by-step explanation:
a is 9, b is 7 and c is 0
Answer:
x = 0, -7/9
Step-by-step explanation:
Why dose math have to be so hard
Answer:
Imagine how hard it was to create it all.
Step-by-step explanation:
Answer:
because i dont even know need help im a tutor ill help u fr
Step-by-step explanation:
I need to figure out estimation with decimals
Answer:
10 CDs
Step-by-step explanation:
First, let's round the cost of each CD to the nearest whole number.
6.98 ≈ 7.00The closest multiple of 7 to 75 is 77.
Then, it would make sense that Sean can buy 11 CDs. However, he has a little bit under 77 dollars, so he can only buy 10 CDs.(If we were to do the actual calculations, 75/6.98 is 10.744.. and so on, so we can confirm he can buy no more than 10 CDs)
can someone help me on my math
what’s the answer to this question y’all?
7/(2sqrt(3) + 2sqrt(5)) + 5/(3sqrt(2) + 8sqrt(5))
Answer:[tex]-\frac{1057√3-1137√5+30√2}{604}[/tex]
â = √
Step-by-step explanation:
Use the graph that shows the solution to f(x)=g(x).
f(x)=−(x+2)(x−2)
g(x)=2|x+2|
What is the solution to f(x)=g(x)?
Select each correct answer.
−2
0
2
4
Answer:
-2
Step-by-step explanation:
if showing in graph would be minus 2
The solution to f(x)=g(x) is 0. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, f(x)=g(x)
f(x)=-(x+2)(x-2) and g(x)=2|x+2|
Now, -(x+2)(x-2)=2(x+2)
-(x-2)=2
x-2=-2
x=-2+2
x=0
Therefore, option B is the correct answer.
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Let k be a constant. Compute d/dx [In(kx)] in two ways. Using the Chain Rule, first decompose y = ln(kx) into an outside and inside function.
Outside function (in terms of u): y = __________
The differentiation using the chain rule gives:
[tex]\frac{d(g(f(x)))}{dt} = g'(f(x))*f'(x) = \frac{1}{(kx)}*k = \frac{1}{x}[/tex]
How to differentiate a logarithmic function?
Remember that:
[tex]ln(x) = \int\limits {\frac{1}{x} } \, dx[/tex]
Now, we want to derivate ln(kx) where k is a constant, the problem tells us to use the chain rule, so we define two functions:
g(x) = ln(x)f(x) = kxThen we have:
g(f(x))
Remember that the chain rule says that:
[tex]\frac{d(g(f(x)))}{dt} = g'(f(x))*f'(x)[/tex]
In this case:
g'(x) = 1/xf'(x) = kThen:
[tex]\frac{d(g(f(x)))}{dt} = g'(f(x))*f'(x) = \frac{1}{(kx)}*k = \frac{1}{x}[/tex]
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I am 24 years old. My age is 2 less than twice my sister's age.
sister's age = x
24 = 2x - 2
26 = 2x
x = 13
the sum of two numnbers is 49 and the difference is 13, what are the numbers
Answer:
31 & 18
Step-by-step explanation:
function:
x+y=49
x-y=13
x=31, y=18
Evaluate the expression. Give your answer in simplest form. 6/7 - 3/5=
Answer:
9/35
Step-by-step explanation:
To answer this question, you will need to find a common denominator.
The lowest common denominator between 7 and 5 is 35.
6/7 is equal to 30/35 and 3/5 is equal to 21/35
Use these numbers instead.
30/35 - 21/35 = 9/35
This number cannot be reduced any further, so it is the answer.
Answer:
9/35
Step-by-step explanation:
The exterior angle of a regular polygon is an 1/8 of the interioris angle How many sides does the regular polygon have ?
Answer:
18 sidesStep-by-step explanation:
We know the interior and exterior angles are supplementary.
Let the exterior angle be x, then the interior angle is 8x.
We have:
x + 8x = 1809x = 180x = 20We now have the exterior angle measure and we know the sum of all of them is 360°.
Find the number of sides:
n = 360/20 = 18choose the sentence that complete the fact family like 14÷7=2 7×2=14 14÷2=7 is it a 14×1=14 b 14×2=28 c 2×7=14 d 2×14=28 is it abc or d
Answer: 2x7=14
Step-by-step explanation:
There are only three numbers that go with each equation, all you have to do is eliminate the ones that don't match.
how many lines are perpendicular to AB?
A. 1
B. 2
C. 3
how many lines are perpendicular to AB?
Hello!
1
middle!
Answer:
A. 1
Step-by-step explanation:
since the perpendicular line has to be at a 90 degree angle of AB and there is only one line which is at a 90 degree angle at AB.
I quite don’t get this question and I have 4 minutes remaining
The length of one of the sides of the larger pentagon is 24 cm. The length of one of the sides of the smaller pentagon is 8 cm.
[tex]24[/tex]÷[tex]8=3[/tex]
So, if the larger pentagon is 3x the size of the smaller pentagon, we can find the area of the smaller pentagon by dividing the area of the larger pentagon by 3.
[tex]135[/tex]÷[tex]3=45[/tex]
The area of the smaller pentagon is 45in²
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−xXheyoXx
Assuming that the value of x is 4, and the value of y is 6, what is the value of the following expression? (x - y)**2 > y TypeError True Undefined False
Considering the given expression and the numerical values, it is found that it's value is False.
What is the expression given?The expression used in this question is given as follows:
[tex](x - y) \times 2 > y[/tex]
The values considered are x = 4 and y = 6, hence:
[tex](6 - 4) \times 2 > 6[/tex]
[tex]4 > 6[/tex]
Hence, it is a False expression, as 4 is less than 6.
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Two friends go to the diner and order the following they have 10% off coupon
According to reports, 30% of American adults have chronic insomnia. If 3 American adults are chosen at random, what is the probability that all 3 have chronic insomnia?
The probability that the three people have chronic insomnia is the likelihood of people having chronic insomnia
The probability that the three people have chronic insomnia is 0.027
How to determine the probabilityThe proportion of people with chronic insomnia is given as:
p = 30%
Given that three people are selected, the probability that the three people have chronic insomnia is calculated as:
[tex]P(3) = p^3[/tex]
So, we have:
[tex]P(3) = (30\%)^3[/tex]
Evaluate the exponent
[tex]P(3) = 0.027[/tex]
Hence, the probability that the three people have chronic insomnia is 0.027
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Blake is working his way through school. He works two part-time jobs for a total of 22 hours a week. Job A pays $5.70 per hour, and Job B pays $7.30 per hour. How many hours did he work at each job the week that he made $141.40.
Answer:
Job A= 12hrs and Job B= 10hrs
Step-by-step explanation:
first u need to make 2 equations, with 2 variables and the pay per hour for both jobs and let the first equal to the total pay at the end of the week
5.7x + 7.3y = 141.4
then the 2nd equation, let it equal to the total hours worked:
x + y = 22
you then make one of the variables the subject of the formula:
x= 22 - y
and substitute that formula into the first equation you would've made:
5.7(22-y) + 7.3y = 141.4 in this instance you then solve for y:
where y= 10hrs
given that y=10 you can then substitute it into either of the 2 equations:
x+y=22
x= 22-y
x= 22 - 10
x= 12hrs
therefore stating that Blake worked 12 hrs at job A and 10 hrs at job B
In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line if one does not distinguish among trees of the same kind?
Total number of ways to arrange the given trees is equals to 24ways.
What is combination?
" Combination is defined as total number of ways arrangement made without considering the order."
Formula used
Fundamental principle of counting
First group has 'm' objects
second group has 'n' objects
Total number of ways objects can be arranged =m × n
According to the question,
Number of oak trees = 3
Number of pines tree = 4
Number of maples trees = 2
Substitute the given values in the formula we get,
Total number of ways to arrange the given trees = 3 × 4 × 2
= 24ways
Hence, total number of ways to arrange the given trees is equals to 24ways.
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solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
[tex] \qquad \qquad \huge \rm \huge \overbrace{\underbrace{ \color{red}{ Answєr}}}[/tex]
hєrє wє gσ ~
[tex] \qquad⧉ \sf \: \: {x}^{2} - 5x + 6 = 0[/tex]
[tex] \qquad⧉ \sf \: \: {x}^{2} - 3x - 2x+ 6 = 0[/tex]
[tex] \qquad⧉ \sf \: \: {x}^{} (x - 3) - 2(x - 3) = 0[/tex]
[tex] \qquad⧉ \sf \: \: {}^{} (x - 3) (x - 2) = 0[/tex]
nσw, wє gσt twσ cαѕєѕ :
#1. whєn (х - 3) = 0
[tex]\qquad \sf \dashrightarrow \: x = 3[/tex]
αnd
#2. whєn (х - 2) = 0[tex]\qquad \sf \dashrightarrow \: x = 2[/tex]
50 points + brainliest
Choose A B C or D for problems 1,2,3,4
*No explanation needed*
TY:))
Answer:
Can't see problem 1
2. C.
3. A.
4. C.
Step-by-step explanation:
Hope this helps!
Brainliest if correct
Answer:
$0.50/cm
Step-by-step explanation:
Given: SAO=30, SO ⊥ AO, SO=10. Find: V
look at link correct answer get brainliest
Answer:
1000π
Step-by-step explanation:
π(r^2*h/3)=volume of cone
π(10√3^2*10/3)
10√3 is from using 30 60 90 Triangle to find AO
Find the slope and the y-intercept of the line.
5x-3y=-9
What number is missing to make the following statement true? 8 11/15 = 7 ?/15 Enter your answer in the box.
Answer:
26
Step-by-step explanation:
8 11/15 = 7 26/15
(06.04 MC)
You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y= –x2 + 8x + 6 and the path of the dog is modeled by y = 2x + 6, will the dog catch the frisbee? If so, what are the coordinates of the point or points where they meet?
Yes, they intersect at the coordinates (0, 6) and (6, 18)
Yes, they intersect at the coordinates (1, 13) and (2, 10)
Yes, they intersect at the coordinates (2, 18) and (3, 12)
No, the paths do not cross
The equations y = –x² + 8x + 6 and y = 2x + 6. Plotting the equations, they meet at (0, 6) and (6, 18)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equations y = –x² + 8x + 6 and y = 2x + 6. Plotting the equations, they meet at (0, 6) and (6, 18)
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Answer:
They do not meet
Step-by-step explanation:
No, the paths do not cross (D)
an iron wire bent in the shape of parabola has rectum of length 60cm what is it's focal length?
Answer:
70cm
Step-by-step explanation:
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