49. $10,000 is invested at an APR of 4% for 10
years.
50. $10,000 is invested at an APR of 5% for 20 years.
51. $15,000 is invested at an APR of 3.2% for 25 years.
52. $3000 is invested at an APR of 4% for 12 years.
53. $5000 is invested at an APR of 3.1% for 12 years.
54. $40,000 is invested at an APR of 8.5% for 30 years.

Answer: $795.70.

Step-by-step explanation: To calculate the amount of interest that Ayana will earn in 3 years, we need to first determine the annual interest rate. If the interest rate is 3% compounded annually, then the annual interest rate is 0.03.

Next, we need to calculate the total amount of interest that Ayana will earn over the 3 year period. To do this, we can use the formula for compound interest: A = P(1 + r/n)^nt, where A is the total amount of interest earned, P is the principal (initial amount of money in the account), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $730, r = 0.03, n = 1 (since the interest is compounded annually), and t = 3. Plugging these values into the formula, we get:

A = $730(1 + 0.03/1)^1*3 = $730(1.03)^3 = $730 * 1.09 = $795.70

Therefore, Ayana will earn $795.70 in total interest over the 3 year period. To the nearest cent, this is $795.70.

Answer:

[tex]y = 8x[/tex], where y = the total cost and x = amount of hours.

Answer: A

Step-by-step explanation:

4 1/2 is the same thing as 4.5

2 3/4 is the same thing as 2.75

4.5 - 2.75 = 1.75 = 1 3/4

Answer:

1 3/4

Step-by-step explanation:

c

Step-by-step explanation:

Because is líke a graphbyou could draw on it but your are going to alway use x.

Answer:

Step-by-step explanation:

M= 6 because 6+4=10 which is greater than 9

The market value of house increased by $68,340 and the current value of the house is  $470,340.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The market value of house before several years =$402,000

Also, the value of house increased by 17%.

The rise in value of house = 402,000 x 17/100

                                            = 68340

The value of house increased by $68,340.

The current value of house = 402,000 + 68340 = 470340

The current value of house is $470,340.

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The equation that shows how the total number of posts depends on the number of elapsed days is y = 9 + x

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the total post be represented by y

Let the daily post be represented by x

Since Julia has made 9 posts while trying out a new social media platform. Starting now, she plans to make 1 post daily. This will be illustrated thus:

y = 9 + (1 × x)

y = 9 + x

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Answer: The tree is 17.62m high

Step-by-step explanation:

32.9 divided by 18.3, take that answer and multiply it by 9.8.

***My answer was rounded***

If Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

A word problem in mathematics is a maths question written as one sentence or more that requires the application of mathematics knowledge to a 'real-life' scenario.

Given that 6 gallons of light green paint use 3/8 gallon of white paint, this can be expressed as:

3/8 gallons of white paint = 6 gallons of light green

We are to determine if 9/16 gallons will be enough to make 8 gallons of light green paint. This can be expressed as

9/16 gallons of white paint = x

Divide both expressions

3/8 x 16/9 = 6/x

2/3 = 6/x

By cross multiplying

2x = 3 x 6

2x = 18

x = 18/2

x = 9

This shows that if Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

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Answer:

151 1/8

Step-by-step explanation:

15 1/2: 31/2 9 3/4: 39/4

31/2 X 39/4= 1209/8

1209/8= 151 1/8

a)  The students in the key club are 48students.

b)  The mean, median, mode, range, variance, and standard deviation for the distribution are 8.3, 8, 9, 9, 303.52, 17.4

The standard deviation is a statistic that measures the amount of variation or dispersion in a set of numbers. A low standard deviation implies that the values are close to the mean of the set, whereas a large standard deviation shows that the values are spread out over a greater range.

Given,

The number of echo beach trips are 5,6,8,9,12,14.

And also given that the frequencies are 8,7,11,15,3,4

a) The students in the key club are,

∑[tex]F_{i}[/tex]=8+7+11+15+3+4

=48

∑[tex]F_{i}[/tex]=48

Therefore, the students in the key club are 48students.

b) Mean= ∑[tex]X_{i}[/tex][tex]F_{i}[/tex]/∑[tex]F_{i}[/tex]

=397/48

=8.27≈8.3

Therefore, Mean=8.3

Total number of observations=48

Here, it is an even number

[tex](48/2)^{th}[/tex]  [tex]24^{th}[/tex]position and [tex]((48+2)/2)^{th}[/tex] or [tex]25^{th}[/tex] position

X                      5       6            8                 9                     12              14

F                       8        7           11                 15                    3                 4

position           8    8+7=15   15+11=26    26+15=41         41+3=44    44+4=48

The value of X at  [tex]24^{th}[/tex] position is 8 and  [tex]25^{th}[/tex] position is also 8

Then, Median=(8+8)/2

=8

Therefore, Median=8.3

Mode= Highest frequency corresponding to X value

=9

Therefore, Mode=9

Range=Highest value-Lowest value

=14-5

=9

Therefore, Range=9

Variance=∑[tex]F_{i}[/tex]([tex]X_{i}[/tex]-[tex]\bar{X}[/tex])/∑[tex]F_{i}[/tex]

=8(5-8.3)²+7(6-8.3)²+11(8-8.3)²+15(9-8.3)²+3(12-8.3)²+4(14-8.3)²

=87.12+37.03+0.99+7.35+41.07+129.96

=303.52

Therefore, variance=303.52

Standard deviation=√variance

=√303.52

=17.4

Therefore, standard deviation=17.4

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Answer:

[tex]\sf \dfrac{2}{3}[/tex]

Step-by-step explanation:

To simplify a fraction, divide the numerator and denominator by their greatest common factor (GCF).

List all the factors of 16 and 24:

Therefore, the greatest common factor is 8.

So to reduce 16/24 to its lowest terms, divide the numerator and denominator by 8:

[tex]\implies \sf \dfrac{16}{24}=\dfrac{16 \div 8}{24 \div 8}=\dfrac{2}{3}[/tex]

Answer:

r = 12

Step-by-step explanation:

Answer:

272 trees are not oak.

Step-by-step explanation:

First, we need to convert 32% into a decimal by moving the decimal point to the left twice, to get 0.32. Then, we set up this equation:

0.32 x 400 = 128

Now, this is how many oak trees there are. It says to find how many trees are not oaks. So, we can do this by subtracting the total trees, which is 400 by 128:

400 - 128 = 272 trees.

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the answer is 21

according to my calculations 9+10= 21

Answer:

(-1/7 ; 0)

Step-by-step explanation:

the line intercepts the x axis when y = 0

7x + 0 = -1

7x = - 1

7/7 x = -1/7

x = -1/7

Answer:

The x intercept is -1/7

( -1/7 , 0)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

7x+7y = -1

y =0

7x+7(0) = -1

7x +0 = -1

7x = -1

Divide by 7

7x/7 = -1/7

x = -1/7

The x intercept is -1/7

( -1/7 , 0)

Answer:

Step-by-step explanation:

g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)}

The lowest fraction for the given fraction [tex]\frac{4}{16}[/tex] is [tex]\frac{1}{4}[/tex].

Also the equivalent fraction with a denominator of [tex]32[/tex] is [tex]\frac{8}{32}[/tex].

Divide the numerator and denominator by their Greatest Common Factor in order to reduce a fraction to its lowest terms. This is often referred to as fractional simplification.

Here, the GCF of [tex](4,16)=4[/tex]. Therefore divide the numerator and denominator of the fraction by [tex]4[/tex].

[tex]\frac{4/4}{16/4} = \frac{1}{4}[/tex]

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

Multiply a fraction's numerator and denominator by the same number of digits. You won't alter the value of the fraction and will produce an identical fraction if you multiply the top and bottom of the fraction by the same number.

Here, [tex]16[/tex] times [tex]2[/tex] give [tex]32[/tex]. Now, multiply the fraction with 2 on both the numerator and denominator.

[tex]\frac{4*4}{16*4} = \frac{16}{32}[/tex]

Therefore, the lowest fraction for the specified fraction is [tex]\frac{1}{4}[/tex]. Furthermore, the equivalent fraction with the denominator [tex]32[/tex] is [tex]\frac{16}{32}[/tex].

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Answer:

10008

Step-by-step explanation:

2^3 x 3^2 x 139 = 10008

The equation that represent each situation, in terms of x, is

The number of monthly movies watched, x, that would make the two plans have an equal monthly cost is 6 movies.

Let

Plan A:

A = 19 + 0.50x

Plan B:

B = 13 + 1.50x

Equate A and B

19 + 0.50x = 13 + 1.50x

collect like terms

19 - 13 = 1.50x - 0.50x

6 = x

Hence,

x = 6 movies

In conclusion, the number of monthly movies watched to have an equal amount is 6 movies.

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The equation of the total number of hours that Jack could use is t = 3.5n

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

Number of hours of study each night = 3 and a half hours

To start with, we need to represent the given parameter using numbers (fractions or decimal)

Using decimals, we have the following representation

Number of hours of study each night = 3.5 hours

Represent the number of nights as follows

Number of nights = n

Represent the total number of hours as follows

Total number of hours = t

So, we have the following equation

Total number of hours = Number of nights * Number of hours of study each night

Substitute the known values in the above equation, so, we have the following representation

t = 3.5 * n

Evaluate

t = 3.5n

Hence, the equation is t = 3.5n

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Answer: y=3.5x

Step-by-step explanation:

Step-by-step explanation:

The amount A in an account after 2 years when a principal of P dollars is invested at annual interest rate r (in decimal form) compounded annually is given by A = P(1 + r). Find r.

P= $3000, A = $3499.20. Explain

r = (3499.20 - 3000) / 3000 = 0.1664

Therefore, the annual interest rate r (in decimal form) is 0.1664.

The required area of the shaded region is 0.8339 in the given shown graph.

The area of the shaded region in a standard normal distribution represents the probability of a certain range of values occurring.

As per the question, the shaded region represents the area to the left of the value z = -0.97.

To find the area of the shaded region, we can use the standard normal distribution table, which gives the probability of a value occurring within a certain range of the mean.

In this case, we would look up the probability of a value less than or equal to -0.97 occurring.

According to the standard normal distribution table, the area to the left of z=-0.97 is 0.8339. This means that the shaded region has an area of 0.8339.

Therefore, the area of the shaded region would be 0.8339.

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a = 2000 and b = 0.5

d. The coordinates of the vertical intercept of the function are given as follows: (0,20), meaning that the initial height of the rocket is of 20 feet.

e. The practical domain of the function is of: [0, 9.506]

f. The practical range of the function is of: [0, 371.563].

The function is given as follows:

h(t) = -16t² + 150t + 20.

The intercept represents the initial height of the rocket, that is:

h(0).

Hence:

h(0) = -16(0)² + 150(0) + 20 = 20 feet.

Hence the coordinates are:

(0,20).

For the practical domain, we have that:

For the practical range, we have that:

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The coordinates of the focus of the parabola are (3, 2)

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix. The general equation of a parabola is -

y = a(x - h)² + k

We have the following equation of a parabola as -

f(x) = (1/4)(x - 3)² + 1

We can calculate the coordinates of the focus using the formula -

Focus : (h, k+ (1/4a))

[h] = 3

[k + (1/4a)] = 1 + (1/(4x 1/4) = 2

Therefore, the coordinates of the focus of the parabola are (3, 2)

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Answer:

42

Step-by-step explanation:

8.50 x 20 and then divide by 100

I hope this helps good luck!