Suppose a young couple deposits $1000 at the end of each quarter in an account that earns 7.6%, compounded quarterly, for a period of 8 years. After the 8 years, they start a family and find they can contribute only $200 per quarter. If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, how much will they have in the account (to help with their child’s college expenses)?

Answer:

1 38888888889/50000000000

Step-by-step explanation:

The answer to the first part equation is 1080 ( 3*15*24). The answer to the second question ( 16*20*6) is 1920. Then you divide 1920/ 1080= 1 38888888889/50000000000

This is a simple cross multiplication problem! Any time you're given a ratio and then the actual quantity of something, you can use cross multiplication to figure out the quantity of the other thing!

We know that the ratio of toads to frogmen is 7 : 2. We also know there were 98 actual toads. Therefore we can set up our equations!

[tex]ratio_{toads}=ratio_{frogmen}\\actual_{toads}=actual_{frogmen}\\\\7=2\\98 = x\\\\7x=196\\x=28[/tex]

The first two equations above everything is how you would have everything set up! The second equations under them are the numbers plugged in, and the rest is just simplification.

So, your final answer should be 28 frogmen!

Answer:

2/6 lol

Step-by-step explanation:

hope this helps :3

The average speed in laps per minute of Ryan is 2.5 laps per minute

From the question, we have the following parameters that can be used in our computation:

The above can be expressed as

(x, y) = (1, 5) and (3, 10)

The average speed in laps per minute can be calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Rewrite as

Average speed = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (1, 5) and (3, 10)

Substitute the known values in the above equation

So, we have the following equation

Average speed = (10 - 5)/(3 - 1)

Evaluate

Average speed = 2.5

Hence, the average speed is 2.5

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Answer: 5

Step-by-step explanation:

1. Since you are told x=35. Plug it into x.

35-25

2. Simplify

35-25=5

Answer: 10

Step-by-step explanation:

x-25

substitute 35 for x

35-25 = 10

Answer:

j=30

Step-by-step explanation:

Answer:

Steps for How to Transform the Graph of a Cubic Function

Step 1: The standard form of a cubic function is y=a(x−h)3+k y = a ( x − h ) 3 + k , where a indicates a stretch or a shrink, h indicates a vertical shift, and k indicates a horizontal shift.

Step-by-step explanation:

We calculated length of model bird in the picture = 2 ¹⁵₁₆ inch and scale factor =1/2

It is expressed as the ratio of the dimension of a model object and dimension of an actual object.

A scale factor is a number which is multiplied by an object in order to form a proportional enlarged or reduced object.

Given, the length of an actual bird = 5⁷₈ inch = 47/8 inch

also given, 1 inch = 0.5 inch

   1 inch = 1/2 inch

we need to determine the length of model bird by multiplying the above factor.

now, length of model bird = 47/8 × 0.5 inch = 47/16 inch = 2¹⁵₁₆ inch

scale factor = length of model bird/ length of actual bird = 47/16 /47/8

scale factor = 1/2

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Answer:

A+B = 7-4w+5v +10wv + 7w +3wv - 12

=3w +5v +13wv-5

A-B= 7 - 4w +5v +10wv - (7w +3wv - 12)

=7 - 4w +5v +10wv - 7w - 3wv + 12

=19 - 11w +5v +7wv

B-A =7w +3wv - 12-(7 - 4w +5v +10wv)

=7w +3wv - 12 - 7 + 4w - 5v - 10wv

=11w - 7wv - 19 - 5v

On solving the provided question, we can say that - the given triangles ECD and triangle PQR

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

EC = PQ

CD = PR

ED = QR

therefore both triangles are similar by SSS property

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Answer:

A. 69°

Step-by-step explanation:

Given:

m<FED = 179°

m<NED = 19x - 4

m<FEN = 12x - 3

Required:

m<FEN

Solution:

m<NED + m<FEN = m<FED (angle addition postulate)

19x - 4 + 12x - 3 = 179 (substitution)

Add like terms

31x - 7 = 179

31x - 7 + 7 = 179 + 7

31x = 186

31x/31 = 186/31

x = 6

✔️m<FEN = 12x - 3

Plug in the value of x

m<FEN = 12(6) - 3 = 72 - 3

m<FEN = 69°

So the formula to find the volume of a cone is,

[tex]V = \pi r^{2} \frac{h}{3}[/tex]

Given,

To Find : The Volume of the cone

Applying the values we get,

[tex]V = 3.14X(3)^{2} X \frac{11}{3}[/tex]

[tex]V = 28.26X\frac{11}{3}[/tex]

[tex]V = 103.62in^{3}[/tex]

Hence , the volume of the cone is 103.62in³

Answer:
3(y^2 + 1) + 2(y+4)

Step-by-step explanation:

2y^2 + 8.9 + 6y - 8.6 - 4y + y^2
= 2y^2 + y^2 + 6y - 4y + 8.9 - 8.6
= 3y^2 + 2y + 8(9-6)
= 3y^2 + 2y + 24
= 3y^2 + 2y + 3.2.2.2
= 3(y^2 + 1) + 2(y+4)

Answer:

135

Step-by-step explanation:

:)

Answer:

When you convert them both you get 135

Answer:

1/5 x X = 13

x5           x5

x = 65 in total

Answer:

b

Step-by-step explanation:

i think i say c because a is 30 degrees and c is 90 the whole triange needs to be 180 so b would be 60 also you see one side is 10 the other side also known as b is also 10 they have to be the same length and a is five because half of 10 is 5

The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.

A line's slope determines how steep it is. A mathematical expression for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two points. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is used to represent it. The y-intercept is located at a point where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

for parallel their slope will be equal

y1= 1x/2 + 3/8 .... eq1

y2= kx/4 + 5k/4  ..... eq2

y1 = y2

1x/2 + 3/8 = kx/4 + 5k/4

1/2 + 3/8 = k/4 + 5k/4

7/8 = 6k/4

k = 7/12

for perpendicular product of their slope is 1

y1 * y2 = 1

1x/2 + 3/8 * kx/4 + 5k/4 = 1

1/2 + 3/8 * k/4 + 5k/4 = 1

k = 1/21

so The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.

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Answer:

The acres of each the farmer must plant to obtain the maximum profit is:

Step-by-step explanation:

First, we're gonna take the data of the exercise:

Now, we're gonna suppose that all the area could be planted with corn (the most profitable), in this form, we obtain the highest profit to take this how reference:

How you can see, $9600 is the highest profit that the farmer can obtain, but, as each acre of corn needs 2 hours, the farmer would need 480 hours of labor to plant all the area with corn, with the 320 hours availables, the farmer just could plant 160 acres of corn, therefore, the real profit would be:

Now, we're gonna make the same exercise but with the oats, to obtain the total profit with this:

Taking into account the hours of labor availables, the oat gives $800 more profit than the corn, but in that case we'd lose 80 hours of labor that could be used to make a better profit, but, as the oat per hour of labor is more profitable, we're gonna use 2/3 of the area to plant oat and 1/3 to plant corn:

How you can see, with 160 acres of oat, the farmer would need 160 hours of labor and, with 80 acres of corn, the farmer would need 160 hours of labor too, by this, we know all the available time will be used, now, we're gonna calculate the profit in each case:

The total profit to the farmer with this plan is:

The profit with the given plan is $8000, that is better than the profit only with oat or corn separately and, this is the maximum profit the farmer can make.

Answer:

The answer is 2.27mm

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

9/1/3=9*3=27

Answer:

D. 27

Step-by-step explanation:

This is a simple division

[tex]9[/tex] ÷ [tex]\frac{1}{3}[/tex] =

[tex]\frac{9}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex] =

Cross multiply

[tex]1[/tex] × [tex]1 = 1[/tex]

[tex]9[/tex] × [tex]3 = 27[/tex]

Set it up

[tex]\frac{27}{1}[/tex]

Then, the model represents 27

Answer:

Domain is all real numbers (basically any number)

Step-by-step explanation:

Step 1: Simplify the expression first

y = 2(x+1)-(3x-2)

y = 2x + 2 -3x + 2

y = -x + 4

Step 2: Observe the graph

y = -x + 4 is simply a linear graph with a negative fixed gradient of -1, with a y-intercept of 4.

Step 3: Identify the domain

For linear graphs, domain is all real numbers.

(No restrictions on the graph according to question)

There are two ways of finding the volume of a pyramid.

1. [tex]\large\tt V =\frac{lwh}{3}[/tex]

Therefore, the volume of a pyramid is 13.33in³

2. [tex]\large\tt V = \frac{Bh}{3}[/tex]

Where [tex]\longrightarrow\tt B = l \times w[/tex]

[tex]\longrightarrow\tt B = 4in \times 2in[/tex]

[tex]\longrightarrow\tt B = {8in^2}[/tex]

Therefore, the volume of a pyramid is 13.33in³

Raffles are chance-based contests in which participants compete to win exciting prizes.

To participate, all you need is a ticket with a number on it. Following the sale of all tickets, a drawing is conducted during which a random selection of tickets is made. If you chance to have the winning ticket, congratulations! a lot of engagement.

Raffles elicit a great deal of interest and support because people enjoy playing games of chance, especially when they have the possibility to win a significant prize.

high income. Your organisation has a strong possibility of making some big money from ticket sales if engagement is high!

low price. A virtual free raffle can be found online! A virtual raffle is the most cost-effective type of fundraising because you won't need to print actual tickets, reserve a location for the drawing, or buy refreshments.

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Answer:

no solution

Step-by-step explanation:

bro use a photo math...................

Answer:

Reflection across the Y axis and you would have to translate figure a down by some units. I dont know the units because i cant see the grid/graph so this is the farthest I can tell you

Step-by-step explanation:

Hope this helps :)

Answer:

B

Step-by-step explanation: