The total amount of money that Karen withdrew from her account three years later is $11,015.48.
How much did Karen withdraw?When an amount earns a compound interest seminannually, it means that the amount invested and interest accured increases in value twice a year.
The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$10,000 x (1 + 0.0325/2)^6 = $11,015.48
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In a history class, 30 students were asked about other courses that they were enrolled in: 20 said they were taking math, 22 were taking English and 26 students were in either math or English. a) How many students are taking both math and English b) How many are in neither c) What percent of the students are taking math but not English
16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English
What is probability?Probability is the likelihood of occurrence of an event. It is given by:
Probability = number of occurrence / total possible outcomes.
Let x represent the number of students that took both maths and english, hence:
Number of students taking only maths = 20 - x
Number of students taking only english = 22 - x
26 = 20 - x + (22 - x) + x
42 - x = 26
x = 16
b) Those who took neither = 30 - 26 = 4
c) those taking only math = 20 - 16 = 4.
Percentage = (4/26) * 100 = 15.38%
16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English
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Total price of all shares algebraically when g shares of stock for w dollars per share is purchased, when shares sold when they earned a 40% capital gain?
Question:
Zeke bought g shares of stock for w dollars per share. His broker told him to sell when they earn 40% capital gain. Express the total price of all shares algebraically when g shares of stock for w dollars per share is purchased, when shares sold when they earned a 40% capital gain?
Answer:
1.40w
Step-by-step explanation:
1dasd
2sdasd
2asdas
3adsd
2sadasd
3asdas
2sda
12sdasd
1asda
2asdasd
82 people were surveyed as to how many TVs they had in their homes.
What was the range in the number of TVs owned by these households?
Number of TVs per Household Frequency
0 1
1 10
2 24
3 21
4 16
5 9
6 1
Answer:
The range is 23
Step-by-step explanation:
You need to find the biggest number, and then find the smallest number. Then you need to subtract them.
Please help me with this! God bless you
Answer:
1. The wind has blown all the leaves off the tree.
2. All the leaves have fallen to the ground.
3. My kite is being flown in the wind.
4. A shower of acorns have fallen from the sky
5. A busy squirrel dug for his acorns.
6. In the garden, pumpkins have grown.
7. Yesterday my friend and I rode to the park.
8. We have rode to the skate park.
9. My brother wrote me a letter.
10. He has written a essay.
11. Our neighbor had given us a pie.
12. Mom and Dad have spoken to me about cleaning my room.
Step-by-step explanation:
(бх -Зу = 9
Solve y=2x-5
-
Answer:
6x-3(2x-5)=9
6x-6x+15=9
15=9
no sollution
find square root of
[tex]244[/tex]
Answer:
15.6204994
Step-by-step explanation:
[tex]15.6204994^{2} = 244\\so\\\sqrt{244} = 15.6204994[/tex]
hope this helps!
FIGURE ABCD BELOW IS A QUADRILATERAL. WHAT IS THE VALUE OF X ?
A. 15
B. 40
C. 45
D. 65
Answer:
x = 45
Step-by-step explanation:
Note that:
The sum of the interior angles of a quadrilateral is 360°.
Angle: ADC+BAD+ABC+BCD = 360°
Thus, Substitute ∠ABC = 3x, ∠BAD = (2x-5) , ∠ ADC = (x+15), ∠ BCD = 80 turn into ADC+BAD+ABC+BCD = 360° :
Also known as :
(x+15) +(2x-5) + 3x+80=360
Solving for x
Add the numbers
x + 90+2x+3x=360
Combine like terms
6x + 90=360
subtract 90 from both sides
6x = 270
x = 45
Hence the value of x = 45
Kavinsky
Answer:
C. 45
Step-by-step explanation:
1) Sum of the interior angles of any shape:
(n - 2) x 180, where n is the number of vertices of a shape. In this case, we have 4 vertices.
= (4 - 2) x 180
= 2 x 180
= 360°
2) Add all the given values equating to 360.
2x - 5 + 3x + 80 + x + 15 = 360
6x + 90 = 360
6x = 360 - 90
6x = 270
x = 270/6
x = 45
Find the volume of the given figure. Round to the nearest tenth. Enter only the number, the
units have been given.
5.1 in
5.9 in
6 in
3.4 in
Volume =
in
Answer:
111.3 cubic inches
Step-by-step explanation:
The dimensions of the rectangular prism are 5.9 x 3.4 x 5.1
volume = length x width x height
V = 5.9 x 3.4 x 5.3
V = 102.306
The dimesnsions of the triangular prism are 3.4 x 5.9 x ?
to find the missing length, 6 - 5.1 = 0.9
3.4 x 5.9 x 0.9
Volume = (3.4 x 5.9 x 0.9)/2
V = 18.054/2
V = 9.027
Add the volumes together
102.306 + 9.027 = 111.333
Round
111.3
solve this arithmetic Progression
So, here in part a), we are given n terms (no specific no. of terms given), so no. of terms = n , also, the common difference is defined as the difference between the next term to a specific term and the term, i.e [tex]{\bf{d=a_{n}-a_{n-1}}}[/tex], where d is the common difference, so here d = 49 - 45 = 4
Also, here the last term is 49 let say it the nth term, as no number of terms are given, so using the Arithmetic Progression formula, we can write as ;
[tex]{:\implies \quad \sf a+(n-1)d=49}[/tex]
[tex]{:\implies \quad \sf a+(n-1)4=49}[/tex]
[tex]{:\implies \quad \sf a+4n-4=49}[/tex]
[tex]{:\implies \quad \sf a=49+4-4n=\boxed{\bf{53-4n}}}[/tex]
Now, as we assumed there are n terms, so using the sum formula, we can have ;
[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(a+a_{n})}[/tex]
[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(53-4n+49)}[/tex]
[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(102-4n)}[/tex]
[tex]{:\implies \quad \sf S_{n}=n(56-2n)=\boxed{\bf{-2n^{2}+56n}}}[/tex]
Now, for part b) we are given a geometric progression with first term = a = 1, common ratio = r = (3/1) = 3, and no. of terms = n = 6, so now putting all values in the sum formula we will have;
[tex]{:\implies \quad \sf S_{6}=\dfrac{1\{1-(3)^{6}\}}{1-3}}[/tex]
[tex]{:\implies \quad \sf S_{6}=\dfrac{1-729}{-2}}[/tex]
[tex]{:\implies \quad \sf S_{6}=\dfrac{-728}{-2}=\boxed{\bf{364}}}[/tex]
What is the name given to a polynomial with 10 terms
Answer:
It should be called A decic polynomial
Step-by-step explanation:
Cual es la velocidad de un carro si su masa es de 1,2 toneladas y genera energía cinética de 905 J
Answer:
75 kilómetros por hora creo no estoy muy seguro
.nxmdmxmxmdmmddmm mcmcmfmfmcmxmcmc fnnffn
Answer:
what do you want to ask brother...
Step-by-step explanation:
or you post this by mistake.....
13,14, and 15 please help it’s math!
Answer:
13) 80 in sq
14) You can find the area of the bigger rectangle, then subtract it from the area of the unfilled white rectangle.
15) The smallest possible area is 38 inches by contiguously placing the cards, or placing the on the adjacent side of 4 inches.
Step-by-step explanation:
Answer:
13) easy but long way, count all the blue squares
harder way but fast way, multiply length and width of blue box and subtract length*width of white box inside of blue box the answer would be 80
14) basically the harder way but fast way mentioned above
15) the smallest possible perimeter is achieved when you calculate less of the longer side and more of the short side. therefore, lining the pictures with the 4inch side as the length and 5 inch side as the width in a line, it would give you a perimeter of 5+5+4+4+4+4+4+4=34
Step-by-step explanation:
13: remember, these are coordinates and not the actual number.
these are the measurements of the blue box
length, 16-2 = 14
width, 14-4=10
these are the measurements of the white box inside the blue box
length, 14-4 =10
width, 12-6=6
find area of both which comes to 140 and 60. subtract 60 from 140 to get 80
Mr. Balderas is 65 years old. He
deposited $150 into a savings
account when he was 18 years
old. The account earned 6.75%
compound interest annually.
What is the total amount in the
savings account at this point in
time?
The total amount of money in Mr Baldera's savings account at this point in time is $3231.33.
What is the total amount of money in the account?
The formula that can be used to determine the future value with annual compounding is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years : 65 - 18 = 47150 x (1.0674)^47 = $3231.33.
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Give the name (monomial, binomial, trinomial etc.) and degree of the polynomial 3x^2 + x^2 +x
The name of the provided polynomial equation is trinomial and the degree of the polynomial is 2.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
Types of polynomial equation on the basis of number of terms:
Monomial-Monomial is the polynomial which has only a single term, such as ax, bz.Binomial-Binomial is the polynomial which has only two terms, which are not similar, such as ax+c, bz+d.Trinomial--Trinomial is the polynomial which has only three terms, which are not similar.The given expression is,
[tex]3x^2 + x^2 +x[/tex]
The equation has one variable and 3 terms in it. Thus, this a trinomial. The highest power of this expression is 2. Thus, its degree is 2Hence, the name of the provided polynomial equation is trinomial and the degree of the polynomial is 2.
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When comparing debit cards to credit cards, which statement is TRUE?
A) Both debit cards and credit cards can improve a credit score.
B) Debit cards make it easier to fall into debt than credit cards.
C) Debit cards are more secure than credit cards for online purchases.
D) Debit cards make tracking day-to-day spending easier than credit cards.
The TRUE statement that compares debit cards to credit cards is D) Debit cards make tracking day-to-day spending easier than credit cards.
What are debit and credit cards?Debit cards are payment cards linked to the holder's bank account. Payment transactions are automatically deducted from the account.
Debit cards depend on the holder's bank balance to make payments, unlike credit cards that give access to borrowing money for purchases so that repayment may be made later.
Thus, the main difference between debit cards and credit cards is that debit cards make the holder accountable for their spending while credit cards give access to credit borrowing.
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*50 POINTS* Pls HELP. ANSWER THE QUESTION IN THE PIC!
Answer:
D
Step-by-step explanation:
Here's why I think it's D.
y = x + 44 is the equation the car wash owner uses
x represents the number of days
y represents the number of cars (washed)
so if we plug in one of the given numbers (from the chart)
example:
Day 2 Numbers of Cars Washed 44
2 will represent the "number of days" also known as x
44 will represent the "number of cars" also known as y
so if we plug in those values to the equation the car wash owner uses
y = x + 44, it doesn't match
__________________________________
(44) = 2 + (44)
44 [tex]\neq[/tex] 46
Therefore, I believe the answer is D
Answer:
D
Step-by-step explanation:
It is not a good fit for the dataThere should equal number of points below and above the x-axis in the residual plotThe given equation : y = x + 44 does not match the given data1.74 multiplied by what equals 5.22
When 3010 adults were surveyed in a poll, 22% said that they use the Internet. Is it okay for a newspaper reporter to write that "1/4 of all adults use the
Interer? Why or why not? Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion
that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution
Identify the null and alternative hypotheses. Choose the correct answer below.
Hypotheses:
H₀: p = .25
Hₐ: p ≠ .25
Conditions:
Random sample NOT stated -- proceed with caution!Normality: 3010(.22) = 662.2 ≥ 10 and 3010(1 - .22) = 2347.8 ≥ 10 Independence: 3010(10) = 30100 < all adults (reasonable to assume)Test statistic:
[tex]\displaystyle z = \frac{.22-.25}{\sqrt{\frac{(.25)(.75)}{3010} } } \\ \\ \\ z = \frac{-.03}{.00789} \\ \\ \\ \boxed{z = -3.8011}[/tex]
Conduct the two-tailed test to calculate the area corresponding to the positive and negative z-score.
The p-value for the lower tail is .00007205. Multiply this by two to get the area for both tails:p = .0001441Conclusion:
Since p = .0001441 < α = .05, we reject the null hypothesis. There is convincing statistical evidence that the true proportion of adults that use the internet is not equal to .25.
Two vertices of a right triangle have coordinates (37) and (310). The segment that connects these points is a leg of the triangle
Which set of coordinates for the third vertex would create a night triangle?
OS)
Answer:
(7, 8)
I hope my answer helps you.
Fit two 1/8 pieces together.What larger fraction pieces do they match?
Answer: 1/4
Step-by-step explanation: 1/8 plus 1/8 is 2/8. it can be simplified to 1/4
What is the measure of m?
6
24
m
m= 6y[?]
Give your answer in simplest form.
Similar triangles are those triangles whose corresponding sides are in the same ratio. The measure of m is 6√4.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.
In the given triangles ΔABC and ΔBCD,
∠ACB = ∠DCB {Common Angles}
∠BDC = ∠ABC =90°
Therefore, the two triangles are so, for triangles.
(6+24)/BC = m/n = BC/24
BC² = 30×24
BC = √720
Now, using the Pythagorean theorem,
AC² = AB² + BC²
30² = m² + (√720)²
900 = m² + 720
180 = m²
m = 6√4
Hence, the measure of m is 6√4.
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Bob is throwing a party. He has 222222 pints of soda. At the end of the party, there are 888 pints of soda.
How many cups of soda were drank during the party?
The number of the pints of soda were drank during the party will be 14 pints.
What is subtraction?It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
Bob is throwing a party. He has 22 pints of soda.
At the end of the party, there are 8 pints of soda.
Then the number of the pints of soda were drank during the party will be
⇒ 22 – 8
⇒ 14
The number of the pints of soda were drank during the party will be 14 pints.
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Evaluate
A)9
B)-9
c) 729
d) -729
The correct option is c) 729
Explanation :-
[tex] \frac{1}{ {3}^{ - 2} {x }^{ - 4} {y}^{2} } [/tex][tex] = \frac{ {3}^{2} {x}^{4} }{ {y}^{2} } [/tex]Now , we just need to substitute " x = 3 " and " y = -1 " in the equation above.
[tex] ⇢ \frac{ {3}^{2} {(3)}^{4}}{ {( - 1)}^{2} } [/tex][tex] = \frac{3 \times 3 \times 3 \times 3 \times 3 \times 3}{( -1) \times ( - 1)} [/tex][tex] = \frac{729}{1} [/tex][tex] = \underline { \boxed{ 729}}[/tex]
What’s the area of this only answer if you know the answer if its correct I’ll give brainliest
Answer:
Area is 24 unit ²
Step-by-step explanation:
Given :-
Hypotenuse :- 10unitsBase:- 8unitsHeight:- 6unitsTo find:-
Area of triangleSolution:-
We know , The formula for finding area of triangle is 1/2×b×h
putting the known values ,
Area = 1/2 × 8 × 6 unit²
Area = 24 unit²
x ^ 3 + 3x ^ 2 = 36x + 108
pls help
Answer:
x can equal several things that would fit
-3
-6
or
6
Step-by-step explanation:
Factor the expression. 4b2 – 9
(2b – 3)(2b – 3)
(2b + 3)(2b + 3)
(3b + 2)(3b – 2)
(2b + 3)(2b – 3)
Let's do
4b²-9(2b)²-3²★a²-b²=(a+b)(a-b)
(2b+3)(2b-3)Hence option D is correct
Answer:
The 4th answer is correct
Step-by-step explanation:
We know that,
( a - b ) ² = ( a + b ) ( a - b )
In the same way, let us solve this sum.
4b² - 9
2²b² - 3²
( 2b - 3 ) ( 2b + 3 )
Therefore, 4th answer is correct.
A Mathematics paper consists of 12 questions of which not more than ten are to be answered. Given that the number of candidates who answer ten questions is equal to the number of candidates who answer nine questions only. Find the probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 if all the questions have the same chance of being selected.
The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 is 0.4179.
How to calculate probability?The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 will ba calculated thus:
= [(9C6 /12C9) × 1/2] + [(9C7)/12C10) × 1/2]
= 42/220 + 18/66
= 0.1909 + 0.2727
= 0.4179
In conclusion, the probability is 0.4179.
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[tex] \displaystyle\red{ \sf\lim_{x \to {0}^{ + } }\frac{1}{ {sin}^{2}x } \int _{ \frac{x}{2} }^{x} {sin}^{ - 1} t \: dt}[/tex]
Use L'Hopital's rule twice:
[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \lim_{x\to0^+} \frac1{\sin^2(x)} \left(\int_0^x \sin^{-1}(t) \, dt - \int_0^{\frac x2} \sin^{-1}(t) \, dt\right) \\\\ = \lim_{x\to0^+} \frac{\sin^{-1}(x) - \frac12 \sin^{-1}\left(\frac x2\right)}{2\sin(x)\cos(x)} ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{2\sin^{-1}(x) - \sin^{-1}\left(\frac x2\right)}{2\sin(2x)} \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{2\sqrt{1-\frac{x^2}4}}}{4\cos(2x)} ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{\sqrt{4-x^2}}}{4\cos(2x)}[/tex]
The remaining limand is continuous at x = 0, and the limit is
[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \frac{2-\frac12}4 = \boxed{\frac38}[/tex]