4. Ashley and Aileen want to accumulate ₱300,000, 17 years from now, as a college fund for their baby daughter, Aria. Calculate how much they must invest now, at an interest rate of 8% compounded semi-annually, in order to have ₱300,000 in 17 years.

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{9}{10}+\dfrac{7}{15}}\)

\(\large\textsf{FIRST: FIND the LCD (Lowest Common Denominator) then solve}\\\large\textsf{from there!}\)

\(\large\textsf{If you have calculated it correctly, you should have came up with \underline{\bf 30}}\\\large\textsf{as your LCD (Lowest Common Denominator).}\)

\(\mathsf{= \dfrac{9\times3}{10\times3}+ \dfrac{7\times2}{15\times2}}\)

\(\mathsf{9\times3=\bf 27}\\\mathsf{10\times3=\bf 30}\\\\\mathsf{7\times2=\bf 14}\\\mathsf{15\times2=\bf 30}\)

\(\mathsf{= \dfrac{27}{30}+\dfrac{14}{30}}\)

\(\mathsf{= \dfrac{27+14}{30}}\)

\(\mathsf{27+ 14=\bf 41}\\\\\mathsf{30+0=\bf 30}\)

\(\mathsf{= \dfrac{41}{30}}\large\textsf{ which you could convert to }\mathsf{1 \dfrac{11}{30}}\)

\(\boxed{\boxed{\large\textsf{ANSWER: }\bf \dfrac{41}{30} \large\textsf{ or }\mathsf{\bf 1 \dfrac{11}{30}\large\textsf{ because they both equal the same thing}}}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

B

Step-by-step explanation:

Answer:

it would be D because it didn't say one and one-half it said two and one-half

Please pick me for brainlyest

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Step-by-step explanation:

f(x) = x² - 7x+5 and g(x) = - 4x

(fog) (x) = (-4x)² -7(-4x) +5

= 16x² +28x +5

(fog)(2) = 16(2)² +28(2) +5

= 64 +56 +5

= 125

Answer:

The square root of the formula is \(\sqrt{2}\sqrt{2\sqrt{2}-\sqrt{6}}\)

Step-by-step explanation:

1. Rewrite the formula

\(4\sqrt{2}-2\sqrt{6}=2(2\sqrt{2}-\sqrt{6})\).

2.Take the square root

\(\sqrt{2(2\sqrt{2}-\sqrt{6})}\).

3. The root can be rewritten

\(\sqrt{2(2\sqrt{2}-\sqrt{6})}=\sqrt{2}\sqrt{2\sqrt{2}-\sqrt{6}}\).

-7x-1

Step-by-step explanation:

this is extra words

Answer:

Step-by-step explanation:

The sampling distribution of the sample mean for samples of size n is approximately normal with mean μ and standard deviation σ/sqrt(n), where μ is the mean of the population, σ is the standard deviation of the population, and sqrt(n) is the square root of the sample size.

In this case, the population mean is μ = 112 and the population standard deviation is σ = 22. We are interested in the sampling distribution of the sample mean for samples of size n = 16.

The mean of the sampling distribution of the sample mean is the same as the population mean, which is μ = 112.

The standard deviation of the sampling distribution of the sample mean is σ/sqrt(n) = 22/sqrt(16) = 5.5.

Therefore, the sampling distribution of the sample mean for samples of size 16 is approximately normal with mean 112 and standard deviation 5.5.

The volume of the cylinder is 169.7. (Option C)

Based on the provided information, let the radius of the cylinder be r and diameter of the cylinder be 2r. The diameter and height of the circular cylinder is the same. When examining the cross section of the cone and cylinder, there are two similar triangles. Hence,

(15 – 2r)/15 = r/5

5(15 – 2r)= 15r

75 – 10r = 15r

r = 3

Volume of the cylinder = πr^2h where r is the radius of the cylinder and h is the height of cylinder. As h = 2r, Hence,

V = πr^2(2r) = (22/7)(3^2)(6) = 169.7

Note: The question is incomplete as the options are incorrect. The correct options are A) 127.5 B) 151.6 C) 169.7 D) 168.5

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Answer: True

Step-by-step explanation:

There are two pairs of congruent angles, meaning the triangles are similar by AA.

It is true that based on the given information triangle RST is similar to triangle UVW by the AA similarity postulate.

Similar triangles are triangles that have the same shape but are different in size. More specifically, two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Here,
Since a figure is given with two triangles, RST and UVW.
From the figure, we can see that there are two angles that are equal, are given as;

∠R=∠U    [measure is 67°]

∠T=∠W    [measure is 90°]

Thus, it is true that based on the given information triangle RST is similar to triangle UVW by AA similarity postulate.

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Answer:

The slope is m=0

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.If y-coordinates are equal and x-coordinates are not equal (as in our case), then the slope equals 00 (the line is horizontal).

Answer:

-5/6

Step-by-step explanation:

By the application of Analytical geometry the rate of change of y with respect to x is -5/6.

what is Analytical geometry?

Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.

The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.

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Answer:

Explanation:

Given the expression:

This expression can be rewritten as:

This is a standard rule of logarithms

Answer:

-35

Step-by-step explanation:

this is a simple but confusing question

however,

since they said down the elevator, and the negative integers reduces, therefore we have our answer as

-35

Step-by-step explanation:

So, x=width and the width=13+L. The formula for perimeter is 2(L)+2(W) and the total perimeter in this question is 62 feet. That means 2(L)+2(13+L)=62 feet. Solve for L and that's going to be your length. Add the length plus 13 and you'll have the width. Double check the equation by plugging the width and length back into the equation. (Does that help?)

The expression of the area of the shaded parts are;

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².

1. The area of the whole square = m²

therefore area of the unshaded part = 7×4 = 28

area of the shaded part = m²-28

2. the area of the whole square = z×z = z²

area of the unshaded part 1= 3 × 24 = 72

area of the unshaded part 2 = (z-3)21 = 21z -63

area of shaded part = z²-72-(21z-63) = z²-72-21z+63

= z²-21z-9

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Explanation:

On the graph, the y-value(s) represents the height of the rocket (in feet).

The rocket is at ground level at the point where its height is 0.

From the point shown below:

At the point (5.04, 0), the height of the rocket = 0 feet. The corresponding time is 5.04 seconds.

Therefore, the number of seconds it takes for the rocket to reach the ground after takeoff is 5.04 seconds.

Answer:

5.04 seconds

=======================================================

Explanation:

The angle 315 degrees is in the interval 270 < theta < 360. This places the angle in quadrant 4.

To get the reference angle, we subtract from 360

360-315 = 45

So the reference angle is 45 degrees. Because we're in quadrant 4, we'll need to remember the following

cosine is positive in quadrant 4

sine is negative in quadrant 4

Since sin(45) = cos(45) = sqrt(2)/2 after using the unit circle, this means

cos(315) = sqrt(2)/2 and sin(315) = -sqrt(2)/2

The terminal point is located at (sqrt(2)/2,   -sqrt(2)/2)

The cosine of the angle theta handles the x coordinate, while the y coordinate is handled by sine.

Answer:The terminal point is located at (sqrt(2)/2,   -sqrt(2)/2)

Step-by-step explanation:

The cosine of the angle theta handles the x coordinate, while the y coordinate is handled by sine.

To find f(-20), first figure out which piece x = -20 fits with.

Since -20 < -12, x = -20 first in the domain used by the third piece.

For f(-20), treat this function as if it was just f(x) = 3x-7.

f(-20) = 3(-20) -7

         = -60 - 7

         = -67

Answers:

5)

a.Highest- 96

Lowest-52

b.74

c. 70-80

d. 13

e. 7

6)

a. 89%

b. 51%

c. In the morning(89%)

Based on the spot rate, the maturity, and the six month U.S. dollar treasury rate, the 6-month Swiss bill​ rate is 4.498%.

The Swiss bill rate for 6- months can be found by the formula:
= Six month US dollar treasury rate + ( ( Six month forward rate / Spot rate) ^ ( 1 / (Maturity / 360)) - 1)

Solving for the 6-month Swiss bill​ rate gives:

= 4.10% + ( ( 1.2610 / 1.285) (¹ / ⁽¹⁸⁰ / ³⁶⁰) - 1)

= 4.498%

In conclusion, the Swiss bill rate is 4.498%.

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Answer:

The mean of the sampling distribution of sample means is equal to the population mean, which is 5.3 years.

give thanks for more! your welcome!

Step-by-step explanation:

Answer:

  y -4 = 3(x +1)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m passing through point (h, k) is ...

  y -k = m(x -h)

Your values for these parameters are ...

  m = 3

  (h, k) = (-1, 4)

Filling these into the form gives the equation you're looking for:

  y -4 = 3(x +1)

To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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the required ans is 3√b+b/3b

Answer:

C

Step-by-step explanation:

You can’t multiply anything to make A work

Nor B

C you can multiply by 3

D you can’t do anything.