Determine the value of the following investment 12 years from now. You are investing $300/month and have a fixed interest rate of 5% per year compounded monthly. How much is in the account at the end of the 12 years? Show ur work

Answer:

$6.89

Step-by-step explanation:

Answer:

6.89

Step-by-step explanation:

when Emily bought 3 paint sets on sale each was worth 5.34. at original price it was 6.89

Answer:

\( \frac{40}{4} \)

Step-by-step explanation:

The model shows that there are 40 tiles which were divided into 4 per group. This results into 10 groups. That is:

\( \frac{40 tiles}{4} = 10 groups \)

Therefore, the expression modeled by the arrangement of the tiles is \( \frac{40}{4} \)

Answer:

C

Step-by-step explanation:

Answer:

rate goes up every 50 dollars for eatch number of deposits

Answer:

The unit rate is 6 pieces or candy per child.

Step-by-step explanation:

you would divide the number of pieces by the amount of children. 36÷6=6 candies. 6 candirs per child

Answer:

6

Step-by-step explanation:

36 pieces of candy among 6 children so 6 pieces for each

Answer:

the answer is 97 °

Step-by-step explanation:

angles on a straight line add up to 180

so 180 -83 = 97°

Answer:

Let's start by assigning variables to represent the number of nickels, dimes, and quarters in the jar.

Let x be the number of nickels.

Then the number of dimes is 3 times as many as nickels, so the number of dimes is 3x.

And the number of quarters is twice as many as dimes, so the number of quarters is 2(3x) = 6x.

We know that the total amount of money in the jar is $5.55, which is equal to:

0.05x (for the value of the nickels) + 0.10(3x) (for the value of the dimes) + 0.25(6x) (for the value of the quarters)

Simplifying this expression, we get:

0.05x + 0.30x + 1.50x = 5.55

Combining like terms, we have:

1.85x = 5.55

Dividing both sides by 1.85, we get:

x = 3

So there are 3 nickels in the jar.

Using this value, we can find the number of dimes and quarters:

Number of dimes = 3x = 3(3) = 9

Number of quarters = 6x = 6(3) = 18

Therefore, there are 3 nickels, 9 dimes, and 18 quarters in the jar.

Step-by-step explanation:

Answer:

5.

Step-by-step explanation:

how?

Divide 2.95 by 0.59 that would equal 5.

The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To solve this problem, we can use the binomial probability formula, which is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

n is the sample size (number of workers being interviewed)

k is the number of successes we are interested in (in this case, 2 of the workers being union members)

p is the probability of success (in this case, the probability that a worker is a union member)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))

Plugging in the values, we get:

\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)

\(= (6) * (0.96)^2 * (0.04)^2\)

= 0.04403136

Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

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The measure of the corresponding angle; ∠UZP = 95°.

For the given question;

Lines TU || RQ || VW are parallel.

The measure of the ∠RPZ= 95.

Thus, from the diagram,

∠UZP = ∠RPZ= 95

As both angles are corresponding angle so equal.

Therefore, the measure of the ∠UZP = 95°.

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Answer:

450 - 120 - 80

=250

2/5 × 250 = 100. A

3/5 × 250 = 120 B

Answer:

Grade A   2:9

Grade B   1:3

Grade C  4:15

Step-by-step explanation:

Students in grade A:

\(450-(120+80)=450-200=250\)

if the ratio is 2:3 then

\(A=(250/5)(2)=(50)(2)=100\) students

The ratio of students with grade A:

\(\frac{100}{450}=\frac{10}{45} =\frac{2}{9}\)

= \(2:9\)

Students with grade B.

\(B=250-100=150\)

The ratio of B:

\(\frac{150}{450} =\frac{15}{45} =\frac{1}{3}\)

\(= 1:3\)

Ratio of students with grade C:

\(=\frac{120}{450} =\frac{12}{45} =\frac{4}{15}\)

\(=4:15\)

Hope this helps

\(P(D/TP) = \frac{P(D \: n \: TP)}{P(TP)} \)

\(P(TP) = P(TP \: n \: D)+P(TP \: n \: FD) \\ P(TP) = 0.95×0.99 + 0.02×0.01 = 0.9407\)

\(P(D/TP) = \frac{0.9405}{0.9407} = \frac{9405}{9407} \)≈0.999787

Answer:

C) How many 1/8s are in 3?

Step-by-step explanation:

Do the algebraic process:

1/8x = 3

x = 24

This means there are 24 (twenty-four) 1/8's in 3.

You can also check:

1/8 • 24 = 3

This is the same as 24/8 = 3.

So, this answers the question, "How many 1/8s are in 3?"

Answer:

33.33%

Step-by-step explanation:

Find the total by 4+3+2= 9

protein is represented by the middle number, or 3

divide 3 by 9

3/9= 0.3333

multiply that by 100

0.3333 x 100 = 33.33

hope this helps!

If the ratio of carbohydrates to protein to fat is 4:3:2.The percentage is protein will be 33.33 %.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Janna is training for a triathlon and wants to eat a diet with a ratio of carbohydrates to protein to the fat that is 4:3:2.

If the total percentage value is taken as 100%.As a result,

4x+3x+2x=100

9x=100

x=11.11

The percentage is protein is found as,

=3x

=3×11.11

=33.33

Thus, if the ratio of carbohydrates to protein to fat is 4:3:2.The percentage is protein will be 33.33 %.

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Answer:

\(x = - 1 \\ - 2 + 0.4y = 0.4 \\ 0.4y = 0.4 + 2 = 2.4 \\ y = 2.4 \div 0.4 = 6 \\ y = 1 \\ 2x + 0.4 = 0.4 \\ 2x = 0.4 - 0.4 = 0 \\ x = 0\)

Answer:

\(2x + 0.4y = 0.4 \\ 2( - 1) + 0.4y = 0.4 \\ 0.4 y = 2.4 \\ y = \frac{2.4}{0.6} \\ \therefore \: y = 6 \\ 2x + 0.4(1) = 0.4 \\ \therefore \: x = 0\)

The equation of the line is y = x + 6

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

The graph

On the graph, we have the following highlights

The graph intersect the y-axis at y = 6

This means that the intercept c is 6

Also, as x changes by 1, the y values changes by 1

This mean sthat the slope is 1

So, we have

y = mx + c

This gives

y = x + 6

Hence, the equation is y = x + 6

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The linear equation on the graph can be written as:

y = (3/2)*x + 6

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁), then the slope will be:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we can see the points (0, 6)  (so the y-intercept is b = 6)  and (4, 10)

Then the slope will be:

a = (10 - 6)/(4 - 0) = 6/4 = 3/2

Then the linaer equation is:

y = (3/2)*x + 6

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The fraction of the area of polygon H of polygon G's area would be: 1/16.

When a polygon is formed by enlarging or reducing an original polygon by a scale factor, the new polygon formed is similar to the original polygon.

The scale factor = new dimension/original dimension

Given that polygon H is the new polygon formed when polygon G is reduced by a scale factor of 1/4, thus, we would have the following:

Area of polygon H/Area of polygon G = square of the side of polygon H/square of the side of polygon G = square of the scale factor of dilation

Area of polygon H/Area of polygon G = 1²/4² = 1/16

This implies that the area of polygon G is 16 units² while the area of polygon H is 1 units².

Thus, the fraction of the area of polygon H of polygon G's area would be: 1/16.

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Answer:Isolate the variable by getting all terms and coefficients to the other side of the equal sign. (3x −3) = 12. Given equation. Add 3 to both sides to get −3 from the left side to the right side. 3x = 15. Divide both sides by 3 to get x by itself, which would give us an exact answer. x = 5.

Step-by-step explanation:

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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The total number of significant figures ( numerically as an integer ) in the given measurement 6.07 m is equal to 3.

Here in the measurement 6.07 m

Zero is in between two non zero digit 6 and 7.

Zero is countable.

Total number of significant figure in 6.07 m is 3.

Therefore, the number of significant figure in the 6.07 m is equal to 3.

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Answer:

Step-by-step explanation:

The formula for determining the surface area of a cuboid or box is expressed as

Surface area = 2lw + 2lh + 2wh

Where l, w and h represents length, width and height of the box respectively.

2lw represents the area of the top and the bottom of the box. Since she doesn't want to cover the bottom, it becomes lw. Therefore,

Surface area = 15 + 6 + 6 + 10 + 10 = 47 in².

The cost would be

0.25 × 47 = $11.75

Therefore,

Yes, she should have only added the area of five of the six faces.

Answer:

its A

Step-by-step explanation:

Large sample significance tests for a single proportion are based on the  statistic binomial. the correct option is A

Significance test can be defined as tests for statistical significance indicate whether observed differences between assessment results occur because of sampling error. Significance tests give a formal process for using sample data to evaluate the likelihood of some claim about a population value.

Therefore a Large sample significance tests for a single proportion are based on the  statistic binomial.

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Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

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Rounding up to the nearest cent, the present value that must be invested in the CD now is approximately $3333.34.

To calculate the present value required to have $4500 after 5 years with a simple interest rate of 7.0%, you can use the formula for simple interest:

Present Value = Future Value / (1 + (Interest Rate × Time))

In this case:

Future Value = $4500

Interest Rate = 7.0%

= 0.07

Time = 5 years

Substituting these values into the formula:

Present Value = $4500 / (1 + (0.07 × 5))

Present Value = $4500 / (1 + 0.35)

Present Value = $4500 / 1.35

Present Value ≈ $3333.33

You may use the simple interest calculation to get the present value necessary to have $4500 after five years with a simple interest rate of 7.0%:

Future Value / (1 + (Interest Rate Time)) = Present Value

In this instance

$4500 is the future value.

Rate of Interest = 7.0% = 0.07

t = 5 years

Substituting these values into the formula:

$4500 / (1 + (0.07 5)) = Present Value

$4500 / (1 + 0.35) equals the present value.

Present Value = $4500 / 1.35

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The present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33

Using the formula for calculating the future value of a single sum:

Future Value (FV) = Present Value (PV) + (PV * Interest Rate * Time)

We rearrange the formula to solve for the present value (PV):

PV = FV / (1 + Interest Rate * Time)

Plugging in the given values:

FV = $4500

Interest Rate = 7.0% = 0.07

Time = 5 years

PV = $4500 / (1 + 0.07 * 5)

PV = $4500 / (1 + 0.35)

PV = $4500 / 1.35

PV ≈ $3333.33

Therefore, the present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33 (rounded up to the nearest cent).

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Answer:

A car dealership has a special on rentals. They charge a one time fee of $3 and then $4 per day for the rental. If John gets a rental from this dealership, how much will his total be after 12 days?

Step-by-step explanation:

Hope this helps!

Answer:

40

Step-by-step explanation:

Absolute value means distance and distance is always positive. Absolute value DOES NOT change everything to the opposite. Positive numbers stay positive. Negative numbers change to positive.

|-31| + |-9|

31 + 9

40

Answer:

300 cm cubed or 300 cm^3

Step-by-step explanation:

(b x h ) / 2 = Area of triangle

5 x 12 = 60

60 / 2 = 30

Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.

30 x 10 = 300 cm cubedor 300 cm^3

Answer:

1/2BA*2+l*w

1/2*12*5*2+10*13+12*10+10*5

=360cm

Answer:

Step-by-step explanation:

( i )

\(p(x) = 4x^2 -3x + 7\\\\p(1) = 4(1)^2 - 3(1) + 7 = 4 - 3 + 7 = 1 + 7 = 8\)

( ii)

\(q(y) = 2y ^3 -4y + \sqrt{11}\\\\q(1) = 2( 1)^3 - 4(1) + \sqrt{11} = 2 - 4 + \sqrt{11} = -2 + \sqrt{11}\)

(iii)

\(r(t) = 4t^4 + 3t^3 -t^2+6\\\\r(p) = 4(p)^4 + 3(p)^3 - (p)^2 + 6= 4p^4 + 3p^3 -p^2 + 6\)

(iv)

\(s(z) = z^3 -1\\s(1) = (1)^3 -1 = 1 - 1 = 0\)

(v)

\(p(x) = 3x^2+5x-7 \\\\p(1) = 3(1)^2 + 5(1) - 7 = 3 + 5 - 7 = 8 - 7 = 1\)

(vi)

\(q(z) =5z^3 -4z +\sqrt{2}\\\\q(2) = 5(2)^3 - 4(2) \sqrt2 = (5 \times 8) - ( 4 \times 2) + \sqrt 2 = 40 - 8 + \sqrt 2 = 32 + \sqrt2\)