Dolores deposited $2500 into a savings account which interest compounded monthly at a rate of 2.12%
How much interest will they earn after 8 years? Round to the nearest dollar


Help pleaseeeeeeeeeee

The Line t || Line v the  value of angle m∠5  is 69.28° .

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Line t || Line v

m∠5 =5x + 45

m∠7 = 12x - 11,

According to given question we have

Line t || Line v

Using the property of interior angles on same sides we get

m∠5 =m∠7

5x + 45=12x - 11

compare like terms we get

45-11=12x-5x

34=7x

x=34/7°

By put the value of x

m∠5 =5x + 45

m∠5 =5*34/7+45

m∠5 =485/7=69.28°

m∠7 =12x - 11=12*34/7-11

m∠7 =331/7°

m∠7 =47.28°

Therefore, the Line t || Line v the  value of angle m∠5  is 69.28° .

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Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

use Cos for y .... b/c we see that function above has all the pieces we are going to work with

use Sin for x .. for the same reason above

Cos(30) = y / 4\(\sqrt{2}\)

4\(\sqrt{2}\)Cos(30) = y

4\(\sqrt{2}\)\(\sqrt{3}\)/2 = y

2\(\sqrt{6}\) = y

leave the answer for y like that.. it's in  'exact" form

now for x

Sin(30) = x / 4\(\sqrt{2}\)

4\(\sqrt{2}\)Sin(30) = x

4\(\sqrt{2}\)* 1/2 = x

2\(\sqrt{2}\) = x

and leave your answer for x like that as it's in it's exact form.  :)

oh and I see the answer in the list.. do you?  :)

The correct option for the function in this problem is:

D- An exponential function is appropriate to model this scenario because, at the end of each year after purchase, the value of the equipment was 0.9 times its value 1 year before.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

For this problem, during each 1 -year period after the equipment was purchased, the value of the equipment at the end of the period was 10% less than its value at the beginning of the period, hence r = 0.1 and the equation is:

\(A(t) = A(0)(1 - 0.1)^t\)

\(A(t) = A(0)(0.9)^t\)

Which means that option D is correct.

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Answer: annualcreditreport.com

Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228

Answer:

A) {-2,0,1,3} is the answer

Step-by-step explanation:

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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Answer:

A. 4/13

B. Likely.

Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

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Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

Answer: 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Maggie made the following quilt from 64 square pieces of fabric, what is the side length of each square piece

Answer:

the answer is pythagoras thorium

The most likely error is that, the student multiplied 27 by 3, after the first computation

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

(3^3)^1

As a general rule, we start by evaluating the expression in the inner bracket

So, we have

(3^3)^1 = (3 x 3 x 3)^1

Evaluate the products

So, we have

(3^3)^1 = (27)^1

Next, we evaluate the exponent

So, we have

(3^3)^1 = 27

The above implies that the value of the expression is 27 and not 81 as the student solved

The most likely error is that, the student multiplied 27 by 3, after the first computation

Hence, the value of the expression is 27 and not 81 and the most likely error is that, the student multiplied 27 by 3, after the first computation

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Answer:

5

Step-by-step explanation:

I don't think I should have to explain this but if it's in between 4.5 and 5 it will be 5 and if it's 4.5-4 it would be 4

Answer:

c!!!!

Step-by-step explanation:

Answer:

21/100 is the correct answer.

Hope it helps.....

Answer:

\(\frac{21}{100}\)

Step-by-step explanation:

When adding fractions, make sure that both denominators are the same

To do this multiply \(\frac{1}{10}\) by 10 to make it into \(\frac{10}{100}\)

\(\frac{10}{100} + \frac{11}{100}\) = \(\frac{21}{100}\)

Answer:

The correct solutions to the equation 2x^2 = -10x + 12 are x = -2 and x = 3.

Step-by-step explanation:

Answer:

7, 22

Step-by-step explanation:

3!=6+6=12/3=4!=24-4=20-10=10-3=7

11-1=10+2=12/6=2x11=22

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

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The length of side CA is right triangle ABC, 8.86 centimeters

In this question, we have been given triangle ABC has a right angle at C.

This means, AB is the hypotenuse of right triangle ABC.

measure of angle A = 41 degrees

and the length of side BC = 7.7 centimeters

We need to find length of CA

Consider sine of angle A.

sin(A) = opposite side/hypotenuse

sin(41°) = BC/AB

0.6561 = 7.7 / AB

AB = 7.7/0.6561

AB = 11.74

Applying Pythagoras theorem,

AB² = BC² + AC²

11.74² = 7.7² + AC²

AC² = 11.74² - 7.7²

AC = √(78.53)

AC = 8.86 centimeters

Therefore, the length of side CA is right triangle ABC, 8.86 centimeters

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Answer: I think the answer b

Step-by-step explanation:

The cost function for Julia's clothing store per month is 14.60n +970

A function is defined as a relation between a set of inputs having one output each.

Given that, Julia is opening a clothing store. She plans to start by selling sweatshirts. It costs her $10.50 for each sweatshirt, $4 per box for the shirts, and $0.10 a bag. Julia also spends $900 on rent, $40 on electricity, and $30 on advertising each month.

There are two types of cost Julia have,

The variable cost that is not fixed and depend on how many shirts she's making, = $10.50+$4 +$0.10 = $14.60

Let she makes n shirts, so cost = $14.60n

And the second one is fixed cost that is cost she is spending on rent, electricity and advertising, = $900+$40+$30 = $970

Therefore, cost = 14.60n +970

Hence, the cost function for Julia's clothing store per month is 14.60n +970

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Answer:

\(8.808 \times 10^{-6}\)

Step-by-step explanation:

Given expression:

\((2.6 \times 10^{-6})+(3.2 \times 10^{-2})(1.94 \times 10^{-4})\)

The grouping of numbers by parentheses in a different way does not affect their product.  Also, changing the order or position of the product of two numbers does not change the end result.

\(\implies (2.6 \times 10^{-6})+(3.2 \times 1.94 \times 10^{-2} \times 10^{-4})\)

Multiply the numbers 3.2 and 1.94:

\(\implies (2.6 \times 10^{-6})+(6.208\times 10^{-2} \times 10^{-4})\)

\(\textsf{Apply the exponent rule} \quad a^b \cdot a^c=a^{b+c}:\)

\(\implies (2.6 \times 10^{-6})+(6.208\times 10^{-2-4})\)

\(\implies (2.6 \times 10^{-6})+(6.208\times 10^{-6})\)

Factor out the common term 10⁻⁶:

\(\implies 10^{-6}(2.6+6.208)\)

Add the numbers 2.6 and 6.208:

\(\implies 10^{-6}(8.808)\)

\(\implies 8.808 \times 10^{-6}\)

Scientific notation is written in the form a × 10ⁿ , where 1 ≤ a < 10 and n is any positive or negative whole number.  Therefore, the final answer is in scientific notation.

Answer:

9 p 4 s

Step-by-step explanation:

That's the answer.

A. 9 players 4 spots

In math, a rate is a ratio that compares two different portions that have distinct units. for example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

rate is a ratio among measurements using different units, for example, births per year, cost per person, words per minute.

All rate problems can be solved by using the formula D = R(T), which translates to distance (D) equals rate (R) multiplied by time (T)

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Answer:

1a) Mean = 40

Standard Deviation = 5

b)i Which numbers on the list are within 0.5 SDs of average?

48, 50, 50

ii) within 1.5 SDs of average?

48, 50, 50, 54, 57

2a)Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary.

The list with the smaller S.D = (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50

This because the results obtained from the second list (ii) is close to the mean , therefore, the Standard deviation is small.

b) Repeat, for the following two lists.

The list with the smaller S.D = (i) 50, 40, 60, 30, 70, 25, 75

This because the results obtained from the second list (i) is close to the mean , therefore, the Standard deviation is small.

Step-by-step explanation:

1a) Find the average and SD of the list 41, 48, 50, 50, 54, 57.

Average (Mean) = Sum of terms/Number of terms

= 41+ 48 + 50 + 50+ 54 + 57/6

= 300/6

= 50

Standard Deviation for the population= √(x - Mean)²/n

=√ (41 - 50)²+ (48- 50)² + (50- 50)² +(50- 50)² + (54 - 50)² +(57- 50)²/6

= √81 + 4 + 0 + 0 + 16 + 49/6

= √150/6

= √25

= 5

(b) Which numbers on the list are within 0.5 SDs of average?

Mean ± Standard deviation × 0.5

50 ± 5 × 0.5

50 - 2.5

= 47.5

50 + 2.5

= 52.5

The numbers on the list are within 0.5 SDs of average are number within 47.5 and 52.5 : 48, 50, 50

ii) Within 1.5 SDs of average?

Mean ± Standard deviation × 1.5

50 ± 5 × 1.5

50 - 7.5

= 42.5

50 + 7.5

= 57.5

The numbers on the list are within 1.5 SDs of average are numbers within 42.5 and 57.5: 48, 50, 50, 54, 57

2 (a) Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary.

(i) 50, 40, 60, 30, 70, 25, 75

Mean is already give as 50

Standard Deviation = √(x - mean)²/n

= √(50 - 50) + (40- 50)² (60 -50)² +(30- 50)² + (70 - 50)² + (25 - 50)² (75 - 50)² /n

= √0 + 100 + 100 + 400+ 400 + 625 + 625/7

= √2250/7

= √321.4285714

= 17.92842914

(ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50

Standard deviation = √(x - mean)²/n

√(50 -50)²+(40-50)² + (60 -50)²+ (30-50)² + (70 - 50)²+ (25-50)² +(75-50)² + (50 -50)² + (50 - 50)²+(50 - 50)²/10

= √0 + 100 + 100 + 400 + 400 + 625 + 625 + 0 + 0 + 0/10

√2250/10

√225

= √15

The list with the smaller S.D = Second list (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50

This because the results obtained from the second list (ii) is close to the mean , therefore, the Standard deviation is small.

(b) Repeat, for the following two lists.

(i) 50, 40, 60, 30, 70, 25, 75

Mean is already give as 50

Standard Deviation = √(x - mean)²/n

= √(50 - 50) + (40- 50)² (60 -50)² +(30- 50)² + (70 - 50)² + (25 - 50)² (75 - 50)² /n

= √0 + 100 + 100 + 400+ 400 + 625 + 625/7

= √2250/7

= √321.4285714

= 17.92842914

(ii) 50, 40, 60, 30, 70, 25, 75, 99, 1

Standard Deviation = √(x - mean)²/n

= √(50-50)² +( 40 -50)² +( 60 - 50)² + (30 - 50)²+( 70 - 50)² + (25 - 50)² + (75 - 50)² +(99 - 50)² +(1 -50)²/9

= √0 + 100 + 100 + 400 + 400+ 625 + 625 + 2401 +2401/9

= √7052/9

= √783.5555556

= 27.99206237

The list with the smaller S.D = (i) 50, 40, 60, 30, 70, 25, 75

This because the results obtained from the first list(i) is close to the mean , therefore, the Standard deviation is small.

Answer:

The probability of the outcome being an A is 1/2.

Step-by-step explanation:

\(\frac{1}{2}\) probability of the outcome being an A, option D.

---------------------------------------------

A probability is the number of desired outcomes divided by the number of total outcomes.

---------------------------------------------

The probability of the outcome being an A is:

\(p = \frac{4}{8} = \frac{1}{2}\)

Thus:

\(\frac{1}{2}\) probability of the outcome being an A, option D.

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Answer:

I don't remember the name of the law, but it states that when resistors are connected in series they put up one singular resistance. so,

Let smaller resistance be x

greater resistance is 3x

According to the question,

x+3x=12

4x=12

x=3

therefore,

resistors are of 3 ohms and 3×3=9 ohms

The equation of the line passing from found as y = 5.

The formula for finding the slope is;

m = Δy/Δx

Where, m is the slope

The given equation of line is;

x = 3 comparing it with standard form of equation;

y = mx + c

As, the equation is a straight line passing parallel to x axis, the slop of line x = 3 is ∞.

Thus, m₁ =  ∞.

Now, let the slops of the line passing from (-2, 5) is m₂,

The, as both line are perpendicular.

Thus,

m₁ x m₂ = -1

m₂ = -1/∞

m₂ = 0

The equation of line is found by

y - y₁ = m₂(x - x₁)

Put the values;

y - 5 = 0(x + 2)

y = 5

Therefore,the equation of the line passing from found as y = 5.

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Answer:

240

Step-by-step explanation:

60 = x * 0.25 ----Divide each side by 0.25

60/0.25 = x

240 = x

Answer:

240

Step-by-step explanation:

25% is a fourth of 100%

So if 60 is 25% of something, you would multiply it by 4

60*4=240