8. You want to be able to withdraw the specified amount periodically from a payout annuity with the given terms. Find how much the account needs to hold to make this possible. Round your answer to the nearest dollar.Regular withdrawal:$300Interest rate:4%FrequencyweeklyTime:17 yearsAccount balance: $

Answer:

13,125 ducks

Step-by-step explanation:

The ratio of ducks:geese on the first day was:

175:63

On the last day (end of migration), he counted 4,725 geese.

To find the number of ducks using the same ratio, we are first going to divide 4,725 by 63 to find what number all the ducks and geese multiplied by:

4,725/63 = 75

The geese multiplied by 75. This means the ducks also multiplied by 75:

175*75 = 13,125

Barnaby counted 13,125 ducks.

Hope it helps (●'◡'●)

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Answer:

---------------

Let the numbers be s and l.

We are given that:

Set up equations:

Eliminate l:

Solve for s:

Find l:

If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

To learn more about area refer to:

https://brainly.com/question/2607596

#SPJ1

Answer:

0.9668 USD

Step-by-step explanation:

1 USD=1.0343 AUD 1AUD=0.9668 USD.

The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.

Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\)  2. 2\(x^{0}\)\(y^{-2}\)

Expression for x =2 and y=5

-4x-2 + 3y0

= -4(2)-2 + 3(5)0

= 16+3

=19

Now

2x0y-2

= 2(2)0x(5)-2

= 2 x (1/25)

= 2 x 0.04

= 0.08

Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

To learn more about simplification visit

https://brainly.com/question/4356706

#SPJ1

Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

Answer:

$0.65

Step-by-step explanation:

The cereal ($3.68) + the milk ($3.53) + the bread ($2.14) costs a total of $9.35.  If Samantha gave the clerk $10.00, she'd receive 65 cents back.

$10.00 - ($3.68 + $3.53 + $2.14) = $0.65

The original expression simplifies to log((x+2)^3 * (x-4)^4) + log((x+5)^-2 / (x-9)^3) This represents a sum of Logarithms with different bases and arguments.

The given expression is 3log(x+2) + 4log(x-4) - 2log(x+5) - 3log(x-9). Let's simplify this expression using the properties of logarithms:

1. Product Rule: log(a) + log(b) = log(ab)

  We can apply this rule to the first two terms:

  3log(x+2) + 4log(x-4) = log((x+2)^3) + log((x-4)^4)

                         = log((x+2)^3 * (x-4)^4)

2. Quotient Rule: log(a) - log(b) = log(a/b)

  We can apply this rule to the third and fourth terms:

  -2log(x+5) - 3log(x-9) = log((x+5)^-2) + log((x-9)^-3)

                         = log((x+5)^-2 / (x-9)^3)

Therefore, the original expression simplifies to:

log((x+2)^3 * (x-4)^4) + log((x+5)^-2 / (x-9)^3)

This represents a sum of logarithms with different bases and arguments.

For more questions on Logarithms .

https://brainly.com/question/30340014

#SPJ8

The maximum height reached by each stone is 40.5 meters.

The height of each stone above the ocean is given by the function:

h = -2t² + 2t + 40

This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.

The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.

The t-coordinate of the vertex is given as:

t = -b / 2a

Substitute the values of a and b,

t = -2 / (2×(-2)) = 0.5

So the maximum height is reached 0.5 seconds after the stone is thrown.

To find the maximum height, substitute the value of t into the function:

h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters

Therefore, the maximum height reached by each stone is 40.5 meters.

Learn more about the maximum height here:

https://brainly.com/question/15025354

#SPJ1

By resolving the equations, we may determine that there are 48 hotdogs and 96 sodas.

A mathematical assertion that proves the equality of two mathematical expressions is what an equation in algebra means.

For instance, the expressions 3x + 5 and 14 make up the equation 3x + 5 = 14, with the 'equal' sign separating them.

So, let x be the number of hotdogs served.

As well as a 2x increase in beverage sales.

144 sodas and hotdogs were served in total.

In accordance with:

x + 2x = 144

3x = 144

Divide both sides by 3 to get:

x = 48

So, the number of hotdogs = 48

Putting the amount of x now will yield the number of sodas:

2x = 2 * 48 = 96

So, the number of sodas = 96

Therefore, by resolving the equations, we may determine that there are 48 hotdogs and 96 sodas.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ1

Answer:

5/9

Step-by-step explanation:

The ratio of green counters to blue counters is 4:5 what fraction of the counters are blue

From the above question, we are given the ratio

Green counters: Blue counters

4 : 5

The sum of the proportion = 4 + 5 = 9 counters

Hence, the fraction of the counters are blue is given as 5/9

Answer:

1 1/45

Step-by-step explanation:

3 5/6 ÷ 3 3/4

~Turn into improper fractions

23/6 ÷ 15/4

~Copy Dot Flip

23/6 * 4/15

~Multiply

92/90

~Simplify

1 1/45

Best of Luck!

The speed is 400 miles epr

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

Learn more on functions : https://brainly.com/question/12634120

#SPJ1

y = 12.60 + 0.64x

Step-by-step explanation:

y = $12.60 + $0.64(x)

y = 12.60 + 0.64x

After considering all the given data we conclude that the area of the given figure is 80, under the condition that the given figure is a rhombus.

Let us name the rhombus as ABCD, now looking at the figure we can detect that there are two diagonals crossing each other making a point  E, this allows the  two  diagonals to split in four smaller lines that are congruent in value
Then
Line AE = 5ft and Line ED = 5ft (because of congruency)
Line CE = 8ft and Line EB = 8ft(because of congruency)
Therefore,
Now we know that the diagonals
AD = 10ft
CB = 18 ft
The area of a rhombus can be evaluated applying the formula
Area = (d1 × d2) / 2,
Here,
d1 and d2 = lengths of the diagonals.
For this case, the diagonals are 10 ft and 16 ft.
Then, the area of the rhombus is
(10 × 16) / 2
= 80
Then, the area of the given figure is 80.
To learn more about rhombus
https://brainly.com/question/29629002
#SPJ1

Answer:

The value of x is 66.

Step-by-step explanation:

The median of a data set is the term that separates the lower half of the set from the upper half.

In a set with even cardinality, the median is given by the mean of it's two middle terms.

In this question:

Cardinality: 8

Middle terms: 4th and 5th, which are x - 5 and x + 1.

The median is 64.

This means that:

\(\frac{x - 5 + x + 1}{2} = 64\)

\(2x - 4 = 128\)

\(2x = 132\)

\(x = \frac{132}{2}\)

\(x = 66\)

The value of x is 66.

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ1

In the given diagram, the length of CD is 12.7 cm

From the question, we are to determine the length of CD

First, we will calculate the length of CB

From the Pythagorean theorem,

|CA|² = |CB|² + |BA|²

12² = |CB|² + 6²

144 = |CB|² + 36

|CB|² = 144 - 36

|CB|² = 108

|CB| = √108

|CB| = 6√3 cm

Now, to find CD

Using SOH CAH TOA

sin55° = |CB| / |CD|

sin55° = 6√3 / |CD|

|CD| = 6√3 / sin55°

|CD| = 12.7 cm

Hence, the length of CD is 12.7 cm

Learn more on Trigonometry here: https://brainly.com/question/11967894

#SPJ1

Answer:

42

Step-by-step explanation:

6*4+3*6= 42

Answer:

42

Step-by-step explanation:

6*4+3*6=42

1) First, we write the problem in the division synthetic form. To do this:

• wake the constant term of the divisor with the opposite sign and write it to the left,

• we write the coefficients of the dividend to the right,

• we write down the first coefficient without changes.

2) We multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line). Then we add the obtained result to the next coefficient of the dividend, and write down the sum.

3) We repeat the previous step with the following column:

4) We repeat the previous step with the following column:

5) We have completed the table. We have obtained the following resulting coefficients: 2, 1, 2, 0. All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

The result of the division is:

Answer

The result of the division is:

Answer:

0.000005

Step-by-step explanation:

ez claps

Answer:

0.000005

Step-by-step explanation:

calculator

The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:

A(w) = 250 gal - w*15gal.

We know that Betty and Paul start with 250 gallons of oil in October 31, which is our initial time, w = 0.

Since November they start using 15 gallons per week, so one week after, at w = 1 (this would be at the end of the first week of November) they will have:

250 gal - 15 gal = 235 gallons of oil.

And each week after that, the amount of oil in the tank will decrease by a fixed amount of 15 gal. This can be described wit a linear equation.

If for each week the tank losses 15 gallons of oil, after w weeks the amount of oil in the tank is:

A = initial quantity - amount that is lost en the w weeks.

A = 250 gal - w*15gal.

The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:

A(w) = 250 gal - w*15gal.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

We can use the given formula for the rate of change of the weight of the solid to estimate the amount of solid 1 second later.

If there is 6 grams of solid at time t, then f(t) = 6 g.

To estimate the amount of solid 1 second later, we can use the derivative formula:

f'(t) = −2f(t)(5+ f(t))

We want to estimate the value of f(t+1), which represents the weight of the solid 1 second later.

To do this, we can use Euler's method, which is an approximation method for solving differential equations.

Euler's method uses the formula:

f(t+1) ≈ f(t) + f'(t)Δt

where Δt is the time step (in minutes).

Since we want to estimate the amount of solid 1 second later, we can set Δt = 1 minute.

Plugging in the values for f(t) and f'(t), we get:

f(t+1) ≈ f(t) + f'(t)Δt

f(t+1) ≈ 6 - 2(6)(5+6)

f(t+1) ≈ -66

Therefore, the estimated weight of the solid 1 second later is -66 grams. However, this result does not make physical sense since weight cannot be negative.

It is possible that the given formula for f'(t) does not accurately describe the behavior of the solid, or that there was an error in the calculation.

or maybe im just bad at maths

The value of angle RPQ in the circle is 115 degrees.

Using angles of intersecting chord theorem, If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

learn more on circle theorem here: https://brainly.com/question/24509783

#SPJ1

Answer: 115 degrees

Step-by-step explanation:∠

RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.