If you wanted to make $798 by investing $6139 for 3 years in an account that pays simple interest, what interest rate you would need to achieve your goal?

Answer:

176cm

400 times

Step-by-step explanation:

Step-by-step explanation:

this can be found by determination of the highest and lowest x values

Answer:

-11 ≤ x ≤ 11

Step-by-step explanation:

Let's get a couple of definitions out of the way

Domain (defn)

The domain of a function is the complete set of possible values of the independent variable(input values to the function). This means that for this set of values, the function value(output of the function) should be determinate.

Range (defn)

The range of a function is the complete set of all possible resulting values(outputs) of the function, after we have substituted the set of domain values

In this figure it is clear that the domain (set of possible values for the x variable) is between -11 and +11 inclusive

So domain is -11 ≤ x ≤ 11

The range (though not asked for) is the set of y values for this domain from minimum to maximum

From the graph, minimum y = 1 at x = 5. Maximum value is 8 (there are two maxima at x = -7 and x=11 but they are the same value)

Range is 1 ≤ y ≤ 8

The APR (Annual Percentage Rate) is 4.08% while the APY (Annual Percentage Yield) is 4.16%.

The annual percentage yield (APY) is the normal annual percentage rate (APR) based on a compounding period of one year.

The annual percentage rate (APR) represents the cost of borrowing expressed as a percentage.

Thus, while APY considers compound interest, APR does not.

MPR = 0.34%

APR = 4.08% (0.34 x 12)

The formula for computing the APR is as follows:

APY = (1 + APR/N)^N - 1

Where APR is the normal interest rate, N is the number of compounding period in a year.

= (1 + 0.0408/12)^12 - 1

= (1 + 0.0034)^12 - 1

= (1.0034)^12 = 1

= 1.0416 - 1

= 0.0416

= 4.16%

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Answer:

Isoceles

Step-by-step explanation:

Isoceles triangles have 2 sides that are the same length.

Answer:

1 is cofficient of X ²

Answer:

2.15 times or 215%

Step-by-step explanation:

V(Luxor) = (646)² · 350/3

V(Tower) = 290 x 125 x 622

V(Luxor) ÷ V(Tower) = 2.15

Given

G'H'T'I' is the rotation image of GHIJ.

To find the centre of rotation, angle of rotation and direction of rotation.

Now,

It is given that,

From the figure, it is clear that the rotation is in clockwise direction, and the figure GHIJ is reflected about 90 degrees.

Answer:

\(P(36 < X < 43)\approx83.5\%\)

Step-by-step explanation:

Use a TI-84 to calculate the probability

\(P(\text{Lower} < X < \text{Upper})=\text{normalcdf}(\text{Lower},\text{Upper},\mu,\sigma)\\\\P(36 < X < 43)=\text{normalcdf}(36,43,38,2)\approx0.8351\approx83.5\%\)

The required equivalent ratio of the given ratio is 3/5.

Given that,
The ratio that is equivalent to 9 to 15 is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Mentioned ration,
= 9 / 15
Reducing the expression by eliminating the common factors
= 3 / 5

Thus, the required equivalent ratio of the given ratio is 3/5.

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The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

Answer:

QS = 76

Step-by-step explanation:

Given R is the midpoint of QS, it means the distance from R to each endpoint is equal, that is:

QR = RS

We are given

QR = 2x + 16

RS = 5x - 17

Equating:

2x + 16 = 5x - 17

Subtracting 5x:

2x - 5x + 16 = -17

Simplifying:

-3x +16 = -17

Subtracting 16:

-3x = - 16 -17 = -33

Dividing by -3:

x = 11

Let's find

QR = 2x + 16 = 22 + 16 = 38

The length of QS is double this value: QS = 2*38 = 76

QS = 76

The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

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The value of x is 18.8m

Given:

θ = 48°

Y = 17m

The law of tangent which is also called as tangent formula or tangent rule is the ratio of the sine of the angle to the cos of the angle.

tan θ = Opposite / Adjacent.

Here,

Sum of triangle = 180°

90° + 48° + x° = 180°

x° = 42°

tan θ = opposite/ adjacent.

Substituting the values

tan 42° = 17/x  (∴tan 42° = 0.9004)

0.9004 = 17/x

So we get,

x = 17/0.9004

x = 18,8m

Therefore, the value of x is 18.8m.

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Point C means that Danny spends $80 on tickets for 5 games. The unit rate can be represented by the point (1, 16) on the graph.

In mathematics, a graph is a collection of coordinates, called vertices or nodes, connected by lines or curves, called edges or arcs. Graphs are a fundamental tool in many areas of mathematics and computer science, and are used to represent relationships and patterns in data, networks, and other complex systems.

Graphs can be classified into various types depending on their characteristics and properties. Some common types of graphs include:

Undirected graphs: graphs where the edges do not have a direction or orientation.

Directed graphs: graphs where the edges have a direction or orientation.

Weighted graphs: graphs where the edges have a numerical weight or value assigned to them.

Bipartite graphs: graphs where the vertices can be divided into two disjoint sets such that no edges connect vertices within the same set.

Tree graphs: graphs that are connected and acyclic, meaning they have no cycles or loops.

Graphs can be represented visually using diagrams or drawings, where vertices are represented as points or circles and edges are represented as lines or curves connecting them. Graphs can also be represented mathematically using matrices or other algebraic structures, and can be analyzed using various graph algorithms and techniques.

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Answer:

hefhxh

Step-by-step explanation:

gfhs

Answer:

15

Step-by-step explanation:

3/3 = 45

2/3 = ?

3/3 - 2/3 = 1/3

1/3 * 45 = 15

Answer:

30

Step-by-step explanation:

45/3=15

15x2=30

Answer:

72\(\sqrt{3}\) units²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here b = ST = a = 12 and h = RS

To calculate RS use the tangent ratio in the right triangle and the exact value

tan60° = \(\sqrt{3}\) , thus

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{RS}{ST}\) = \(\frac{RS}{12}\) = \(\sqrt{3}\) ( multiply both sides by 12 )

RS = 12\(\sqrt{3}\)

Thus

A = \(\frac{1}{2}\) × 12 × 12\(\sqrt{3}\) = 6 × 12\(\sqrt{3}\) = 72\(\sqrt{3}\) units²

Answer:

okay i'll keep this in mind

Step-by-step explanation:

The formula for the general term of the sequence is Tn = 4n - 2

The sequence is given as:

{2, 6, 10, 14, 18, . . . }

The above sequence is an arithmetic sequence with the following features:

The formula for the general term is calculated using:

Tn = a + (n - 1) * d

This gives

Tn= 2 + (n - 1) * 4

Expand

Tn = 2 + 4n - 4

Evaluate the like terms

Tn = 4n - 2

Hence, the formula for the general term of the sequence is Tn = 4n - 2

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Answer:

1/6

Step-by-step explanation:

i used a calculator

Answer:

they are equal

Step-by-step explanation:

adding a 0 to a number that is a . doesn't change it's value unless it is infront of the number

Answer:

The trees will be the same size in 12 years

Step-by-step explanation:

given the 3-foot tree can grow 1.5 feet per year

given the seeds can grow 1.75 feet per year

The trees will be the same size but it will take a while To find out how long that take we set up an equation to be

3 + 1.5x = 1.75x

3 = 0.25x

x = 12

x represents for years it take

Answer:

After 12 years both will be in same height

Step-by-step explanation:

Let 'x' be the number of years .

After 'x' years both will be in same height

Genevieve:

Rate of growth per year = 1.5 ft

Rate of growth after 'x' years = 1.5 * x = 1.5x

Height of tree after 'x' years = 3 + 1.5x

Marcus:

Rate of growth per year =1.75 ft

Rate of growth after 'x' years = 1.75 * x = 1.75x

Height of tree after 'x' years = 1.75x

After 'x' years both will be in same height

1.75x = 3 + 1.5x

1.75x - 1.5x = 3

         0.25x = 3

                x = \(\frac{3}{0.25}\)

                \(x =\frac{3*100}{0.25*100}=\frac{300}{25}\)

x = 12

The percent increase in average life expectancy of the region from the Stone Age to 2016 is given as follows:

165.4%.

The percent increase is obtained applying a proportion, as it is defined by the increase divided by the initial amount and then multiplied by 100%.

The ages are given as follows:

The increase is of:

69 - 26 = 43.

Considering the Stone Age as the initial reference point, the percent increase is given as follows:

43/26 x 100% = 165.4%.

The ages are given as follows:

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Answer: bottom right

Answer:

v=2144.66

Step-by-step explanation:

V=4/3πr^3
sub in r which is 8

V=4/3 * π * 8^3
V=4/3 * π * 512

Answer:

4m x 5m = 20 sq/m

$132 ÷ 20 sq/m = $6.60 per sq/m

3m x 4m = 12 sq/m

12 sq/m x $6.60 = $79.20

Answer:

49°

Step-by-step explanation:

x= 90-41 = 49°

---------

Answer:

I would assume x = 49° since 49+41=90 and it appears to be a 90° angle

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

The probability that more than 2 students will attend is 0.9179.

Part (a) List the values that X may take on.

X may take on the values 0, 1, 2, 3, ..., 13.

Part (b) Give the distribution of X.

The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23

Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)

We can expect 3 students to attend the festivities.

Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)

The probability that at most 3 students will attend is 0.6923.

Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)

The probability that more than 2 students will attend is 0.9179.

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Answer:

C) -2/9

Step-by-step explanation:

\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)

Answer:

Hence, Option (C) - 2/9 is the Answer:

Step-by-step explanation:

-1/6 [3 -15(1/3)^2]

-1/6(3 -15)(1/9))

-1/6(3 - 5/3)

-1/6 (4/3)

Hence, Option (C) - 2/9 is the Answer:

I hope it helps!