Orenda opened a savings account with $4500 that earns 0.6% simple interest
annually. After how many years will the balance of the account be $4635? Round to the nearest tenth, if necessary.

WHAT IS THE ANSWER???

\(2(3x-1) \geq 4x-6\\\\\implies 6x -2 \geq 4x -6\\\\\implies 6x \geq 4x -6+2\\\\\implies 6x \geq 4x-4\\\\\implies 6x -4x \geq -4\\\\\implies 2x \geq -4\\\\\implies x \geq -\dfrac42\\\\\implies x \geq -2 \\\\\text{Interval,} ~ [-2, \infty)\)

Answer:

We can use the continuous compounding formula to solve this problem:

A = Pe^(rt)

where A is the final amount, P is the initial amount, r is the interest rate, and t is the time in years.

In this problem, we know the final amount (A = $1255.66), the interest rate (r = 4% = 0.04), and the time (t = 4 years). We want to find the initial amount (P).

Substituting the known values into the formula, we get:

1255.66 = Pe^(0.04*4)

Simplifying the exponent:

1255.66 = Pe^0.16

Dividing both sides by e^0.16:

1255.66 / e^0.16 = P

Using a calculator to evaluate e^0.16, we get:

1255.66 / 1.17351087099 = P

Simplifying:

P = $1069.44

Therefore, the initial amount placed in the account was $1069.44 (rounded to the nearest cent).

Step-by-step explanation:

compounded continuously, given that there is $1255.66 in the account after four years, we can use the formula:

A = Pe^(rt)

where A is the final amount, P is the initial amount, r is the interest rate, and t is the time in years.

Substituting the known values into the formula, we get:

1255.66 = Pe^(0.04*4)

Simplifying the exponent:

1255.66 = Pe^0.16

Dividing both sides by e^0.16:

P = 1255.66 / e^0.16

Using a calculator to evaluate e^0.16, we get:

P = 1069.44

Therefore, the initial amount placed in the account was $1069.44 (rounded to the nearest cent).

rate 5 stars po if this helps u~ welcome po!

Answer:

We can use the continuous compounding formula to solve this problem:

A = Pe^(rt)

where A is the final amount, P is the initial amount, r is the interest rate, and t is the time in years.

In this problem, we know the final amount (A = $1255.66), the interest rate (r = 4% = 0.04), and the time (t = 4 years). We want to find the initial amount (P).

Substituting the known values into the formula, we get:

1255.66 = Pe^(0.04*4)

Simplifying the exponent:

1255.66 = Pe^0.16

Dividing both sides by e^0.16:

1255.66 / e^0.16 = P

Using a calculator to evaluate e^0.16, we get:

1255.66 / 1.17351087099 = P

Simplifying:

P = $1069.44

Therefore, the initial amount placed in the account was $1069.44 (rounded to the nearest cent).

Step-by-step explanation:

compounded continuously, given that there is $1255.66 in the account after four years, we can use the formula:

A = Pe^(rt)

where A is the final amount, P is the initial amount, r is the interest rate, and t is the time in years.

Substituting the known values into the formula, we get:

1255.66 = Pe^(0.04*4)

Simplifying the exponent:

1255.66 = Pe^0.16

Dividing both sides by e^0.16:

P = 1255.66 / e^0.16

Using a calculator to evaluate e^0.16, we get:

P = 1069.44

Therefore, the initial amount placed in the account was $1069.44 (rounded to the nearest cent).

rate 5 stars po if this helps u~ welcome po!

Answer:

i really don't know but have a great day

Step-by-step explanation:

Answer:

I believe it is -2,-5

Step-by-step explanation:

Answer: 19

Step-by-step explanation: The best way is to set this up with synthetic division (as the attached image).

Hope this helps!

Answer:

$100.8

Step-by-step explanation:

Discount=20% of 120 =24

Before tax: BP=120-24=96

After Tax BP=105% of 96=$100.8

The scale factor used to dilate triangle D to create triangle D' is 1/3. This means that each side length in triangle D' is one-third of the corresponding side length in triangle D.

To determine the scale factor used to dilate triangle D to create triangle D', we can compare the corresponding side lengths of the two triangles.

In triangle D, the side lengths are given as 18, 24, and 30. In triangle D', the corresponding side lengths are given as 6, 8, and 10.

To find the scale factor, we can divide the corresponding side lengths of D' by the corresponding side lengths of D.

Scale factor = Length of corresponding side in D' / Length of corresponding side in D

For the corresponding sides, we have:

Scale factor = 6/18 = 1/3

Please note that the scale factor can also be determined by comparing the area or perimeter of the two triangles. However, in this case, we used the corresponding side lengths to find the scale factor.

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Answer:

-5

Step-by-step explanation:

(1/2)^x=2^-x

32=2^5

2^-x=2^5

-x=5

x=-5

Answer:Answer:

-5

Step-by-step explanation:

(1/2)^x=2^-x

32=2^5

2^-x=2^5

-x=5

x=-5

Step-by-step explanation:

Answer:

0.2162   (21.62%)

Step-by-step explanation:

Notice the total time of students is 407. (this is 83+79+88+72+85)

So the probability of having a 3 is:

\(P(3)= \frac{88}{407} =0.2162\)

This is 21.62%

Answer:

Step-by-step explanation:

A' (- 3 + 4, 4 + 2) = (1, 6)

B' (- 1 + 4, 2 + 2) = (3, 4)

C' (- 5 + 4, 0 + 2) = (-1, 2)

Answer:

24x22=528

Step-by-step explanation:

Multiply by the base and height as you would a rectangle for parallelograms.

Answer:

528 sq units

Step-by-step explanation:

The formula to calculate the area of a parallelogram is:

Area of parallelogram = base × height square units.

Answer:

The minimum is 1

Step-by-step explanation:

1 is the lowest point of the function so that's your answer (:

The minimum of the sinusoidal function is 1.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

y = 2sin(x + ∅) + 3 is a function

The minimum of the sinusoidal function.

y = 2sin(x + ∅) + 3 is a function is given

For the minimum value of sin(x + ∅) = -1, then

y = 2(-1) + 3

y = -2 + 3

y = 1

Thus the minimum of the sinusoidal function is 1.

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Answer: 4 1/2

Step-by-step explanation:

Answer:

A student who runs 3/4 mile in 6 minutes is faster than a student who runs 1/2 mile in 5 minutes because when you simplify both fractions to per minute, the student who ran 3/4 mile in 6 minutes (1/8 mile per min) ran faster than the student who ran 1/2 mile in 5 minutes (1/10mile in 1 min).

Step-by-step explanation:

\(\frac{3/4mile}{6min}\) divided by 6 to get per min =

1/8 mile per min

Answer:

66

That is one way to solve it.

Answer:

93-27= 66

Step-by-step explanation:

20,000 ten thousand equals 2000 Hundred thousand.

As per the question statement, we are provided with a value: "20,000 ten thousand".

We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.

To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, \((20000*10,000)=200000000\).

As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.

Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as  \((100,000*x)=200000000\)

\(or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000\)

Hence, 20,000 ten thousands equals 2000 Hundred thousands.

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The statement p-value .015 significant at the .05 level οf significance is cοrrect.

The prοbability value, οr p value, indicates the likelihοοd that yοur data cοuld have been true under the null hypοthesis. This is accοmplished by estimating the prοbability οf yοur test statistic, which is the figure οbtained frοm a statistical analysis οf yοur data.

Here we knοw that When the p-value is less than 0.05, the null hypοthesis that there is nο difference between the means is rejected, and we cοme tο the cοnclusiοn that there is a significant difference. The presence οf a significant difference cannοt be inferred if the p-value is greater than 0.05.

The given p-value =0.015

Since p value  0.015 < 0.05 significance level , sο result is significant at 5% level.

Hence the given statement is cοrrect.

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due to unavailability of graph I sketched a rough diagram so hope this ans. helps you dear....take care!

Answer:-12

Step-by-step explanation:

The model predicts the population to be 671,520 in 14 years

An exponential function is a mathematical function of the form \(R^{x}\) where x is a variable and R is a constant.

Exponential functions form exponential curves with decreasing or increasing slope depending on the magnitude of the variable x.

Population, P(t) = 480,000\(e^{-0.024t}\),

when t = 14

substitute t = 14 into the equation,

Population, P(t) = 480, 000\(e^{-0-024 x 14}\) = 480, 000 x 1.399 = 671,520

In conclusion, the Population of the model after 14 years is 671,520

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The function is written as y = cos (x/3). Multiply x by One-third. Then the correct option is C.

It is a function that repeats itself in a particular time interval.

The equation is given as

y = A cos (ωx)

Where A is the amplitude, ω is the frequency.

Consider the function y = cos(x).

If A increases, then the amplitude increase. And if A decreases, then the amplitude decreases.

If ω increases, then the period decrease. And if ω decreases, then the period increases.

The function is written as y = cos (x/3).

Multiply x by One-third.

Then the correct option is C.

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Answer:

cccccccc

Step-by-step explanation:

just took test

The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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Answer:

The given quadratic equation is: 10x^2 + 7x + 3 = 0.

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 10, b = 7, and c = 3.

Substituting these values into the formula, we get:

x = (-7 ± sqrt(7^2 - 4(10)(3))) / 2(10)

x = (-7 ± sqrt(49 - 120)) / 20

x = (-7 ± sqrt(-71)) / 20

Since the square root of a negative number is not a real number, this quadratic equation does not have any real solutions. Therefore, none of the options (A), (B), (C), or (D) are correct.

The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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Answer:

Riian completed a greater amount of homework.

Step-by-step explanation:

The fraction 7/8 is greater than the fraction 2/3.

Answer:

2 × 4 - 2 / -3

8-2/-3

6/-3

-2

Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

Answer:

216.

Step-by-step explanation:

To solve this expression, you can first simplify the expression inside the parentheses:

45 - (25 + 8) = 45 - 33 = 12

Then you can substitute this simplified expression back into the original equation and multiply by 18:

(12) X 18 = 216

Answer:

what's that

Step-by-step explanation:

Using the future value formula, it is found that the value of the account after the tenth deposit is of $26,361.59.

The future value formula is given by:

\(V(n) = P\left[\frac{(1 + r)^n - 1}{r}\right]\)

In which:

For this problem, the parameters are given as follows:

P = 2000, r = 0.06, n = 10.

Hence the value of the account will be of:

\(V(10) = 2000\left[\frac{(1 + 0.06)^{10} - 1}{0.06}\right]\)

V(10) = $26,361.59.

The complete problem is:

"Suppose that there is an account that pays 6% interest that is compounded annually. At the beginning of each year, $2,000 is deposited into the account (starting with $2,000 for the first year).

What will be the value of the account after the tenth deposit if no withdrawals or additional deposits are made?"

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The two main purposes of all businesses are earning revenue and maximizing profits, the correct option is B and E.

We are given that;

The four options

Now,

Earning revenue means generating income from selling goods or services to customers. Revenue is the lifeblood of a business, as it covers the costs of production, operation, and growth. Without revenue, a business cannot survive or fulfill its other purposes.

Maximizing profits means increasing the difference between revenue and costs. Profits are the reward for creating value for customers and stakeholders. Profits can be reinvested in the business to improve quality, efficiency, innovation, and competitiveness. Profits can also be distributed to shareholders, employees, or society as dividends, wages, or donations.

Therefore, by unitary method the answer will be earning revenue and maximizing profits.

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