In 2012 Staci invested $14,500 in a savings account for her newborn son. The account pays 3.6% interest each year. Determine the accrued value of the account in the year 2030, when her son will go to college. Round your answer the nearest cent.

In the year 2030, the accrued value will be $

Answer:

90% will be anti frozen

Step-by-step explanation:

The scale factor is 1/3.

What is the scale factor?

The difference in scale between an original object's scale and a new object that is its representation but is larger or smaller is known as a scale factor. For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Here, we have

Given: Triangle D has been dilated to create triangle D′.

To find the scalar value, simply choose one side of D and one did of D’ and divide them to find the scalar. We can verify that we have the correct scalar by performing this division on each related edge. Below I will do D to D’ represented like D/D’:

4.8 / 1.6 = 3

4.2 / 1.4 = 3

2.7 / x = 3

Knowing that the scaling for each edge is 3, we can solve for x.

2.7 / 3 = x

0.9 = x

The edges for D are 4.8, 4.2, and 2.7 respectively to D’ scaled by 1/3. So we can determine that the edges for D’ are 1.6, 1.4, and 0.9 respectively to D scaled by 3.

So if we go D’ to D, we scale by 3. If we go D to D’, we scale by 1/3.

Hence, the scale factor is 1/3.

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Answer:

30 ft long by 55 ft wide

Step-by-step explanation:

The partitions involves dividing the line into subsegments

The coordinate of the point on the directed line segment is (0.5,-2)

The given parameters are:-

line segment = (-1, -1) to (5,-5)

Segment ratio = 1 : 3

The coordinates of the partition is calculated as:

\((x,y) = (\frac{mx_2 + nx_1}{m+ n},\frac{my_2 + ny_1}{m+ n})\)

Substitute known values

\((x,y) = (\frac{1 *5 + 3 * -1}{1+ 3},\frac{1 *-5 + 3 * -1}{1+ 3})\)

Evaluate the products

\((x,y) = (\frac{2}{4},\frac{-8}{4})\)

Evaluate the quotients

\((x,y) = (0.5,-2)\)

Hence, the coordinate of the partition is (x,y) = (0.5,-2)

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Answer: c=4 d=5

Step-by-step explanation:

Answer: 5

Step-by-step explanation: I got it right

Answer:

Step-by-step explanation:

13 months

You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

Answer:

1 × 10^-4

Step-by-step explanation:

This is because after the decimal point there are 4 numbers so u have to put -4, and the 1 is there because of the last number

Answer:

1 × 10^-4

Step-by-step explanation:

Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

Answer:

Hiiiiiiii

The answer is 1844 and the solution in the picture

Hope it's help

The value of the perpendicular side d = 8.66 inches.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

Given that:-

Base   =   5 in

Angle  =  60

By using trigonometry property:-

\(tan\theta =\dfrac{d}{B}\\\\\)

d = B  x  tan60

d = 5  x  tan60

d = 8.66 in

Hence the value of the perpendicular side d = 8.66 inches.

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Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

150

Step-by-step explanation:

because 30 x 5 =150

Answer:

150°

Step-by-step explanation:

Here,

In linear pair we get the rest of its side angle we get is,

30° + x(unknown value) = 180°

=> x = 150°

Now,

Angle 1 = x. [As corresponding Angles]

So , value of 1 is 150° (Ans)

Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

Answer:

B. 1.618

Step-by-step explanation:

I calculated it logically

Answer:

125 cm and 75 cm

125:75 = 5:3

Step-by-step explanation:

Let the number be 5x and 3x

we are taking these value because in ratio

a:b = ax:bx

that is if we multiply both part of ratio by a same number ratio remains same.

____________________________________________________

Since we have divided 200 cm in two parts with value 5x and 3x

Thus,

sum of 5x and 3x will be equal to 200 cm

5x+3x = 200cm

8x = 200cm

x = 25 cm

Thus,

first part = 5x = 5*25 = 125 cm

other part = 3x = 3*25 = 75cm

Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

\(2x+2=8+2x\)

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

Answer:

mEh HaV nO iDeA

Step-by-step explanation:

The Solution.

The given function that defined the number of books left unread after reading for t months is

We shall find b(9), which is, the number of books left unread after reading consistently for 9 months.

This means that 30 books were left unread after reading consistently for 9 months.

The correct answer is 30 books unread after reading for 9 months.

Using the concept of simple interest and compound interest, the first equation is \(S = 200(1.1)^t\), while the second is S = 250 + 20t

c. It will take over 7 years for the accounts to be equal.

The similarities between simple interest and compound interest is that both deals with saving of money over certain period of time with a fixed rate. While the difference between both is that in compound interest, the interest are compounded while in simple interest it is not. This implies that compound interest is an exponential function while simple interest is a linear function.

Simple interest = P(1 + rt)

Compound interest = P(1 + r/n)ⁿˣ

To solve this, we can write equations;

For the first scenario;

\(S = 200(1.1)^t\)

For the second scenario;

S = 250 + 20t

NB: The first case is a compound interest while the second is a simple interest.

c. To determine when the two accounts will be equal;

\(250 + 20t = 200(1.1)^t\)

Solving for t;

t = 7.01 ≈ 7 years

Therefore, it will take over 7 years for the accounts to be equal

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The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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Answer:

Aiko spends $3.85

Step-by-step explanation:

2.60 times 3 - 3.95 = 3.85

Answer:

3.85

Step-by-step explanation:

2.60x3=7.80 7.80-3.95=3.85

Answer: You divide the degree measure of the arc by 360 degrees.

Step-by-step explanation:

Answer:

s=rx

Step-by-step explanation:

s is arc length, r is radius, and x is the central angle.

Answer:

17

Step-by-step explanation:

you need 20 apples to have 5 in four baskets. she's missing 3, so subtract 3 from 20.

According to the question, the standard temperature conversion from Celsius to Fahrenheit is as below:

Celsius Temperature = \(\frac{5}{9} (T(F)-32)\)

Substituting the given data in the standard equation, we get the Celsius value:

Celsius Temperature = \(\frac{5}{9} (T(F)-32)\)

                                    = (5/9)(12) = 20/3 = 6.6 degree Celsius

Hence, the calculated temperature is 6.6 degree Celsius.

What is temperature?

The temperature expresses the climate hotness or coldness. It can be measured with an instrument called a thermometer. And also it can be calibrated on different scales. The standard units of a temperature are Celsius and Fahrenheit.

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Reason:

The smallest |x-5| can get is 0 since the result of an absolute value is never negative (because it represents distance).

So the smallest f(x) = |x-5|-3 can get is 0-3 = -3

f(x) = -3 or f(x) > -3 are the only two options for the output f(x).

Condense that into \(f(\text{x}) \ge -3\) to arrive at choice C as the final answer.

The fancy notation of f(x) ∈ ℝ translates to "f(x) is a real number".

If you were to graph this using a tool like Desmos, then notice how the lowest point occurs when y =  -3

See the diagram below.

Answer:

R: {f(x) ∈ ℝ | f(x) ≥ –3}

Step-by-step explanation:

I got it right on the test.

Answer:

If the expression is , then the answer is the first option.

If the expression is , then the answer is the third option.

Step-by-step explanation:

Remember that when you have a radical expression in the form , you can rewrite as:

Then:

- If the expression is , then you can rewrite it in the following radical form:

(This form matches with the first option.)

- If the expression is , then you can rewrite it in the following radical form:

(This form matches with the third option).

Answer:

5m

Step-by-step explanation:

regla de 3:

1m = 3ft

15 pies ÷ 3 = 5m

Answer:

Step-by-step explanation:

yes you can depending on your grades in that class though you might have to redo the semester in your free time if your grade is not high enough

Given:

There were 485 gumballs in a machine at a candy store.

A worker added 2 bags of 100 gumballs and then added 50 more gumballs.

The total number of gumballs will be as follows:

To find how many groups of 100 gumballs in the machine, we will divide the total gumballs by 100

So, the number of groups of 100 gumballs = 7.35

Or in other words, there are 7 groups of 100 gumballs and 35 more gumballs.