Answer:
12 feet
Step-by-step explanation:
4 times 3 is 12 and that is how u find area I think
Patrick and Brooklyn are making decisions about their bank accounts. Patrick wants to deposit $300 as a principal amount, with an interest of 3% compounded quarterly. Brooklyn wants to deposit $300 as the principal amount, with an interest of 5% compounded monthly. Explain which method results in more money after 2 years. Show all work.
Answer:
Brooklyn's method results in more money after 2 years
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedPatrick's Method
Given:
P = $300r = 3% = 0.03n = 4t = 2Substituting the given values into the formula and solving for A:
[tex]\implies \sf A=300\left(1+\dfrac{0.03}{4}\right)^{4 \times 2}[/tex]
[tex]\implies \sf A=300\left(1.0075\right)^{8}[/tex]
[tex]\implies \sf A=318.4796543...[/tex]
Therefore, using Patrick's method, there would be $318.48 in the account after 2 years.
Brooklyn's Method
Given:
P = $300r = 5% = 0.05n = 12t = 2Substituting the given values into the formula and solving for A:
[tex]\implies \sf A=300\left(1+\dfrac{0.05}{12}\right)^{12 \times 2}[/tex]
[tex]\implies \sf A=331.4824007...[/tex]
Therefore, using Brooklyn's method, there would be $331.48 in the account after 2 years.
As $331.48 > $318.48 then Brooklyn's method results in more money after 2 years.
Identify the coordinates of Point B after it is reflected across the y-axis.
(4, -3)
(4, 3)
(-4, 3)
(-4, -3)
Answer:
(-4,3)
Step-by-step explanation:
the coordinate (4,-3) is just at the 4th quadrant in which the value of x is positive and the value of y is negative
the quadrant (4,3) is on the first quadrant and the value expressed with the letter A
the coordinate (-4,-3) is a coordinate on the quadrant in which both values are negative
find the value of y and x
Answer:
in my wisdom i think x=60 and y=60
Solve for r.
r= __ ?
r= \frac{q^{2} }{p^{3}} +1
Segment AB has coordinates A(-4, 7) and B(5, 1). Find AP/AB and the coordinates of P that partitions AB such that AP:PB = 1:2. AP/AB= [Select] Coordinates of P: ( [Select] [Select] Hint: (x₁+ m/n (x2-x1). Y₁+ m/n (y2-V₁))
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-4,7)\qquad B(5,1)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-4,7)=1(5,1)[/tex]
[tex](\stackrel{x}{-8}~~,~~ \stackrel{y}{14})=(\stackrel{x}{5}~~,~~ \stackrel{y}{1})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-8 +5}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{14 +1}}{1+2} \right)} \\\\\\ P=\left(\cfrac{-3}{3}~~,~~\cfrac{15}{3} \right)\implies P=(-1~~,~~5)[/tex]
now, the segment AB cut by P in a 1:2 ratio, makes 3 thirds, so the ratio AP/AB is
[tex]\cfrac{AP}{AB}\implies \cfrac{1}{1+2}\implies \cfrac{1}{3}[/tex]
Dont answer unless your sure will mark brainliest
Answer:
199.5
Step-by-step explanation:
Write the tangent, cosine and sine ratios of angles X & Y. Write each answer as a (reduced) fraction. Not a decimal.
The tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.
What are the trigonometry ratios?For a right angle triangle, the trigonometry ratios can be given as,
[tex]\rm \sin \theta=\dfrac{b}{c}\\\rm \cos \theta=\dfrac{a}{c}\\\rm \tan \theta=\dfrac{b}{a}[/tex]
Here, a is base side, b is perpendicular side and c is the hypotenuse side of the triangle.
In the given triangle, the length of base side is 8 units, perpendicular side is 6 units and hypotenuse side is 10 units.
[tex]a=8\\b=6\\c=10[/tex]
Thus, the tangent, cosine and sine ratios of angles X & Y are,
[tex]\rm \sin \theta=\dfrac{6}{10}=\dfrac{3}{5}\\\rm \cos \theta=\dfrac{8}{10}=\dfrac{4}{5}\\\rm \tan \theta=\dfrac{6}{8}=\dfrac{3}{4}[/tex]
Thus, the tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.
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Find an equation of the circle that has center (-3, -6) and passes through (0, 1).
Answer:
Step-by-step explanation:
General equation for a circle (x - a)² + (y - b)² = r² with (a,b) represents the center, (x,y) represents one of the points lie on the circle, and r represents the radius Determine r² by substituting the points into the general equation (x - a)² + (y - b)² = r² (5 - (-1))² + (-4 - 2)² = r² (5 + 1)² + (-6)² = r² 6² + 36 = r² 36 + 36 = r² 72 = r² Determine the equation of the circle (x - a)² + (y - b)² = r² (x - (-1))² + (y - 2)² = 72 (x + 1)² + (y - 2)² = 72 (This is the equation of the circle)
What is the distance between the y-intercept of the function f(x)=2(3)^x and the y-intercept of the function g(x) represented by the table below?
Answer:
A. 1
Step-by-step explanation:
y-intercept of f(x)
f(x) = 2(3)°f(x) = 2(0, 2)y-intercept of g(x)
g(x) = (0, 3)Distance
⇒ 3 - 2
⇒ A. 1
HELP PLS A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes
Answer:
(0, 0).
Step-by-step explanation:
The 2 points with y = 8 is a horizontal side with (5, 8) 5 units to the right and the point (5, 0) lies vertically down from (5, 8) so the fourth point is 5 to the left of (5, 0) which is (0, 0)
The figure below shows the graph of f’ the derivative of the function f, on the closed interval from x = -2 to x = 6. The graph of the derivative has horizontal tangent lines at x = 2 and x = 4.
find the x-value where f attains it’s absolute maximum value on the closed interval x=-2 to x=6. justify your answer
Answer:
x = -2
Step-by-step explanation:
The function is decreasing where the first derivative is negative.
That is, the function is decreasing on the interval (-2, 5), except at x=2, where there is a flat spot. That means the maximum value is found at the left end of that interval, at x=-2.
__
The maximum value might be found at x = 6, at the right end of the interval (5, 6) on which the function is increasing. However, we judge the area under the first derivative curve between x=5 and x=6 to be less than the total area under the curve between x=-2 and x=5. That means the function does not increase enough from its minimum at x=5 to make up for the decrease over the longer interval.
__
The attachment shows an approximation of the derivative function given in the problem statement (dashed line) and its integral (solid line). Not all of the curvature of f'(x) is accounted for in the approximation, but the overall result is consistent with the above analysis.
Please help me I really need help
Please solve with explanation (high points)
8.1. If x is the distance from P to the flagpole and h is the height of the flagpole, then
tan(53°) = h/x
tan(28°) = h/(x + 20)
Solve for the first equation for h in terms of x :
h = x tan(53°)
Substitute this into the second equation and solve for x :
tan(28°) = x tan(53°) / (x + 20)
(x + 20) tan(28°) = x tan(53°)
x tan(28°) + 20 tan(28°) = x tan(53°)
x (tan(28°) - tan(53°)) = -20 tan(28°)
x = 20 tan(28°) / (tan(53°) - tan(28°))
x ≈ 13.4 m
8.2. By the law of cosines,
BD² = 7² + 11² - 2 • 7 • 11 cos(110°)
⇒ BD = √(170 - 154 cos(110°))
⇒ BD ≈ 14.9 cm
and
BC² = BD² + 16² - 2 • BD • 16 cos(40°)
⇒ BC = √(426 - 154 cos(110°) - 32 cos(40°) √(170 - 154 cos(110°)))
⇒ BC ≈ 10.6 cm
Now use Heron's formula. If S is the semiperimeter of ∆ABD and S' is the semiperimeter of ∆BCD, i.e.
S = (AB + BD + AD)/2 ≈ 16.5 cm
S' = (BC + CD + BD)/2 ≈ 20.7 cm
then
area ∆ABD = √(S (S - AB) (S - BD) (S - AD)) ≈ 36.2 cm²
and
area ∆BCD = √(S' (S' - BC) (S' - CD) (S' - BD)) ≈ 76.7 cm²
so that the total area of ABCD is approximately 112.9 cm².
Alex buys 30 shares of Walmart at the close price if $48.80. His broker charges him 3% of each share. How much did Alex spend in total to buy this stock?
Alex spend $1507.92 in total to buy this stock at 3% charges on each shares.
What is shares?
Shares represent equity ownership in a corporation or financial asset, owned by investors who exchange capital in return for these units.
Alex buys 30 shares of Walmart at the close price of $48.80.
His broker charges him 3% of each share.
Purchasing of 30 shares =48.80 *30
=$1464
Now we have to find the 3% of total purchasing of shares.
So,
Broker's fees =[tex]\frac{3}{100}*1464[/tex]
= 0.03 * 1464
= 43.92
So, total cost of stock= 1464+43.92
= 1507.92
Hence, Alex spend $1507.92 in total to buy this stock.
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These are confusing can anyone help with this?
Answer:
3. B
Step-by-step explanation:
Some of the most important nutrients in the ocean include:
A. Nitrates, carbonic acid, and oxygen.
B. Carbon dioxide, oil, and gold.
C. Phosphate, phytoplankton, and potassium.
D. Phosphates, nitrates, and carbon.
Answer:
D one is the answer
Step-by-step explanation:
Interest = $821.25, time = 1 year, rate = 12.42%. Find the principal
Step-by-step explanation:
P = l.100/t.r = $821.25×100/12.42×1 = $6612.318
hope this helps you.
Which shows a true comparison? Select all that apply. A. 32. 03 > 32. 3 32.03>32.3 B. 3. 114 > 3. 112 3.114>3.112 C. 4. 003 < 3. 996 4.003<3.996 D. 0. 541 > 0. 145 0.541>0.145 E. 0. 141 < 0. 19
Answer:
B. 3.114 > 3.112
D. 0.541 > 0.145
E. 0.141 < 0.19
Step-by-step explanation:
In order to determine which decimal is greater or less than another, compare the place values from left to right. First, compare the whole numbers to the left of the decimal point. If they are not the same, the smaller decimal number is the one with the smaller whole number. This applies to the rest of the places.
----------------------------------------------------
32.3 has a greater tenths value than 32.03, so 32.03 < 32.3. Option A is false.
----------------------------------------------------
3.114 has a greater thousandths value than 3.112, so 3.114 > 3.112. Option B is true.
----------------------------------------------------
4.003 has a greater whole number than 3.996, so 4.003 > 3.996. Option C is false.
----------------------------------------------------
0.541 has a greater tenths value than 0.145, so 0.541 > 0.145. Option D is true.
----------------------------------------------------
0.19 has a greater hundredths value than 0.141, so 0.141 < 0.19. Option E is true.
hope this helps!
The inequalities which are truly compared are B, D and E.
Given certain inequalities.
We have to find the true comparisons.
We have to look at the corresponding digits of numbers which are compared from left to right. Greater numbers on the left will be the greater number.
A. 32. 03 > 32. 3
This is false since 32.3 is greater. In 32.03, 0 is in the tenth place, while 3 is in the tenth place for 32.3.
B. 3. 114 > 3. 112
This is true since in the thousandths place, 4 is greater than 2.
C. 4. 003 < 3. 996
This is clearly false, since in the whole part, 4 is greater than 3.
D. 0. 541 > 0. 145
This is true, since in the tenths place, 5 is greater than 1.
E. 0. 141 < 0. 19
This is also true, since in the hundredths place, 9 is greater than 4.
Hence the true comparisons are B, D and E.
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In the following diagram, what is the value of x?
x=[x]
Answer:
x=90°
Step-by-step explanation:
Too much work............. ....
MARKING BRAINLEST IF CORRECT
Solve for x.
66
6
7
110
Answer:
x =6
Step-by-step explanation:
17x + 8 + 66 + 74 +110 = 360
17x + 258 =360
17x = 360 -258
17x =102
x =6
Apply angle sum property
17x+8+66+74+110=36017x+258=36017x=102x=6The volume of a sphere is
[tex]125\pi[/tex] cm3. What is the radius?
Last question.
Hi!!
Answer:
I'm not 100% sure, but I think it's 3.1.
Step-by-step explanation:
I took your volume, which is 125[tex]\pi[/tex], then a formula, which is
V=[tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex], then I just plugged in the 125 and I got 3.1. I'm so sorry if it's wrong! <3
dummy forgot his pin code. 20% of his pin code was 246.8 what was his pin code
Answer:
1234
Step-by-step explanation:
If 20% of his pin code was 246.8, we have to multiply 246.8 by 5 to get his pin code, which is 1234 (not safe btw.)
would really appreciate it if you hearted this answer
Verify the Identity!!
Answer:
Check the proof below
Step-by-step explanation:
try to verify from RHS to LHS
(Tan a + tan b) / (tan a - tan b)
= (sin a / cos a + sin b /cos b) / ( sin a/ cos a - sin b/ cos b)
= (sin a cos b + cos a sin b)/ (sin a cos b - cos a sin b)
= sin (a+b) / sin (a-b)
Fyi
sin(A+B) = sinAcosB+cosAsinB
sin(A-B) = sinAcosB-cosAsinB
ade and ola share a sum of 400 naira in the ratio 3:5. find the amount ade received.
Answer:
150 Naira
Step-by-step explanation:
3 + 5 = 8
Since Ade receives in a 3 to 5 ratio, Ade receives 3/8 of the total.
3/8 × 400 = 150
Answer: 150 Naira
HELP ASAP!!!
The black graph is the graph of y = f(x).
Choose the equation for the red graph.
Answer:
B
Step-by-step explanation:
We shift the black graph about the x axis, to do that we divide y by -1,
We then shift over to the left 5 units, to do that's we add 5 to the x value.
So the answer here is B
Determine the measure of the missing angle.
1 point
65°
?
57°
57 degrees
O 48 degrees
65 degrees
O 58 degrees
Solve for
Step-by-step explanation:
65° + 57° + x = 180° ( the sum of angle of triangle is 180° )
122° + x = 180°
x = 180° - 122°
x = 58°
hence the answer is 58°....
Answer:
58 degrees
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
180 = 65 + 57 + x
180 = 122 +x
x =180 -122
x = 58
-4+2(3m+7)
Explain please
Answer:
6m + 10
Step-by-step explanation:
Distributive Property
a(b + c) = ab + acSolving
-4 + 2(3m + 7)-4 + 2(3m) + 2(7)-4 + 6m + 146m + 10Which expression is the result of solving the equation ar – b = cy for ? (For a 70).
cy
cy + b
+ b
Don
Answer:
4th option, (cy+b)/a
Step-by-step explanation:
By algebraic manipulation, we add b to both sides, then divide by a to isolate x.
round 2.577681 to 4 decimal places
Answer:
2.5777
Step-by-step explanation:
Answer: 2.5777
Step-by-step explanation:
Given:
2.577681
Find the fourth decimal place:
2.577681
Round:
2.5777
Rounding:
Is the place to the right greater than or less than 5?
If greater than or equal to, round up. If less than, it stays the same.
In this case, 8 > 5
Let X1, Xn be i.i.d. random variables with probability density function,
fx (x) = { 1/0 0 0 < x < 0 otherwise.
(a) Let X₁, X denote a bootstrap sample and let X = n
Find: E(XX1, , Xn), V(XX1, , Xn), E(X), V(X₂).
Hint: Law of total expectation: E(X)= E(E(XY)).
Law of total variance: V(X) = E(V(XY))+ (E(X|Y)).
Sample variance, i.e. s² = (X; - X)2 is an unbiased estimator of population variance.
The expected value of the assumed probability density function is 3/4 and the variance is 3/80
How to solve for E(x) and V(x)?The probability density function is not properly stated.
So, I will provide a general explanation on how to determine E(x) and V(x) of a probability density function
Assume that the probability density function is given as:
[tex]f(x)= \left[\begin{array}{ccc}3x^2 &0 \le x \le 1\\0&Otherwise\end{array}\right[/tex]
The expression E(x) is calculated using:
[tex]E(x) = \int\limits^a_b {x \cdot f(x)} \, dx[/tex]
So, we have:
[tex]E(x) = \int\limits^1_0 {x \cdot 3x^2 \ d(x)[/tex]
Evaluate the product
[tex]E(x) = \int\limits^1_0 { 3x^3 \ d(x)[/tex]
Integrate
[tex]E(x) = \frac34x^4 |\limits^1_0[/tex]
Expand
[tex]E(x) = \frac34(1-0)^4[/tex]
Evaluate
[tex]E(x) = \frac34[/tex]
The variance is then calculated using:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
Calculate [tex]E(x^2)[/tex] using:
[tex]E(x^2) = \int\limits^a_b {x^2 \cdot f(x)} \, dx[/tex]
This gives
[tex]E(x^2) = \int\limits^1_0 {x^2 \cdot 3x^2} \, dx[/tex]
Expand
[tex]E(x^2) = \int\limits^1_0 {3x^4} \, dx[/tex]
Integrate
[tex]E(x^2) = \frac{3}{5}x^5|\limits^1_0[/tex]
Expand
[tex]E(x^2) = \frac{3}{5}(1 - 0)^5[/tex]
Evaluate
[tex]E(x^2) = \frac{3}{5}[/tex]
Substitute [tex]E(x^2) = \frac{3}{5}[/tex] and [tex]E(x) = \frac34[/tex] in [tex]Var(x) = E(x^2) - (E(x))^2[/tex]
[tex]Var(x) = \frac 35 - (\frac{3}{4})^2[/tex]
Evaluate the exponent
[tex]Var(x) = \frac 35 - \frac{9}{16}[/tex]
Evaluate the difference
[tex]Var(x) = \frac{3}{80}[/tex]
Hence, the variance of the probability density function is 3/80
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