Sally deposits $4,000 in a certificate of deposit that pays 2.12% simple interest. What is her balance after one year?

Answers

Answer 1

Answer:

4084.80

Step-by-step explanation:

Interest = Principal * Interest * Time

             = 4000 * 0.0212 * 1

             = 84.8

balance = deposit amount + interest

             = 4000 + 84.8

             = 4084.80

Answer 2

Based on then information given her balance after one year is: $4048.80.

Using this formula

A = P (1 + r)^t  

Where:

A=Amount=?

Principal=$4,000

r=Interest rate=2.12% or 0.0212

t=time=1 year

Let plug in the formula

A=4000(1 + 0.0212)^1

A= 4000(1.0212)

A= $4048.80

Inconclusion her balance after one year is: $4048.80.

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Related Questions

The data that you collect suggest that the between-treatments variance is large, relative to the within-treatment variance, so the F-ratio for your study is likely to be ______ , suggesting that __________ .- substantially larger than 1.00- the null hypothesis will be rejected

Answers

Based on the data collected, the F-ratio for the study is likely to be substantially larger than 1.00.

The F-ratio is a statistical test that compares the between-treatments variance to the within-treatment variance. If the between-treatments variance is much larger than the within-treatment variance, the F-ratio will be larger than 1.00.

Conclusion: A larger F-ratio suggests that there is a significant difference between the groups being compared. In this case, the null hypothesis will likely be rejected, indicating that there is a significant difference between the treatments being studied.


The F-ratio for your study is likely to be substantially larger than 1.00.

When the between-treatments variance is large compared to the within-treatment variance, it indicates that the differences between the treatment groups are more significant than the variations within each group. This leads to a higher F-ratio, as the F-ratio is calculated by dividing the between-treatments variance by the within-treatment variance.

Since the F-ratio is substantially larger than 1.00, it suggests that the null hypothesis will be rejected. This means that there is evidence to support the alternative hypothesis, indicating that there is a significant difference between the treatment groups in your study.

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someone help me please

someone help me please

Answers

Answer:

c i think

Step-by-step explanation:

the answer is C

Step-by-step explanation:

both lines are going in the same pattern just in a different way. Which is explained in C


(10/2)²

The “/“ is divide btw

Answers

Answer: 25

Explanation: You would follow the procedure in PEMDAS (Parentheses-Exponents-Multiplication-Division-Addition-Subtraction). So you would first solve what’s in the parentheses, which is 10/2. That would equal to 5. After that, you square 5, which also means to do 5 x 5. And your final answer is 25.

Hope this helped!

A 14 ounce can of tomatoes costs $2.80. How much money per ounce do the cans cost?

Answers

Answer:

$39.2 per pound

Step-by-step explanation:

First off, you know that there are 14 ounces of tomato.

Then you know that each can cost $2.80

After that, you have to multiply 14*2.80 to get $39.2

So the answer is $39.2

Hope this help you :)

what is (−2.1)⋅(−1.4)

Answers

Multiplying a negative number and another negative number makes the product positive.
So (-2.1)*(-1.4) = 2.94

In a double-blind, placebo-controlled experiment:


a. subjects are assigned to different treatment groups, one of which receives an inactive substance that appears to be a treatment, through random selection.

b. a subject does not know whether he or she received a treatment or an inactive substance.

c. subjects with similar characteristics are assigned to the same group.

d. neither the subjects nor the people administering the treatments know who received a treatment and who received an inactive substance.

e. a subject who received an inactive substance reports an improvement in health or behavior.

Answers

The correct statement among the options (a)-(e) is d. neither the subjects nor the people administering the treatments know who received a treatment and who received an inactive substance.

In a double-blind, placebo-controlled experiment, both the subjects and the people administering the treatments are unaware of which participants received the active treatment and which received the placebo (inactive substance).

This is done to minimize bias and ensure the validity of the results. By keeping both the subjects and the administrators blinded to the treatment assignments, the study can effectively evaluate the true effects of the treatment without any potential influence from expectations or biases.

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PLEASE HELP ME RIGHT NOW 20points!!!!

PLEASE HELP ME RIGHT NOW 20points!!!!

Answers

Answer:

9.95 feet

Step-by-step explanation:

total surface area = area of square base + area of 4 triangular sides

area of square = (side)²

area of triangle = (base) × (height) / 2

SA = S² + 4SL/2

340 = 11² + 4(11)(L)/2

340 = 121 + 44L/2

44L/2 = 219

44L = 438

L = 9.95

What is the area of the trapezoid?
8 m
110 m
12 m
80 m2
96 m2
100 m2
120 m2​

What is the area of the trapezoid?8 m110 m12 m80 m296 m2100 m2120 m2

Answers

Answer:

I think the answer is 96

Step-by-step explanation:

I think that u have to multiply eight times ten. The you add twelve and that is how I got the answer of 96. I am pretty sure that it is correct but just i case I am sorry if u don't get it right.

Answer:

100

Step-by-step explanation:

the formula is b1+b2 divided by 2 times the height. 8+12=20 divided by 2 is 10 times 10 is 100.

Write an equation for the following word problem.
Tyrone ate 16 hamburgers today, Tyrone's plate had a total of 24 hamburgers on it. How many hamburgers did Tyrone not eat?
Use h for hamburgers Tyrone did not eat.
1) 16 + h = 24
2) 16h = 24
3) h+ 24 = 16
4) h- 16 = 24​

Answers

Answer:

Option 1 or 16 + h = 24

Step-by-step explanation:

Tyrone ate 16 hamburgers today.

Tyrone had 24 hamburgers.

Hamburger = h.

We want to find how much Tyrone had left so:

h = 24 - 16

OR (we can move 16 to the other side)

h + 16 = 24

Option 1 is the answer

PLEASE HELP!!

Nathan placed a beaker of ice water, at 0°C, on a
hot plate. The temperature rose by 4°C. What
was the new temperature?

Answers

Answer:

0+4=4

So new temperature was 4 degrees Celsius

Step-by-step explanation:

13 similarity and pythagorean theorem

13 similarity and pythagorean theorem

Answers

Answer:

D) 6 yds

Step-by-step explanation:

Rearrange pythagoras theory:

a² + b² = c² → c² - b² = a², c is the longest side (hypotenuse)

10² - 8² = x²

100 - 64 = 36

x² = 36

x = √36 = 6

Hope this helps!

What is an auditor's evaluation of a sample for attributes when a test of 50 documents results in one exception if the tolerable rate is 6%, the expected population exception rate is 1%, and the allowance for sampling risk is 3%?
Group of answer choices
a) Modify the planned assessed level of control risk because the sample exception rate plus the allowance for sampling risk exceeds the tolerable rate.
b) Modify the assessed level of control risk because the tolerable rate plus the allowance for sampling risk exceeds the expected population exception rate.
c) Accept the sample results as support for the planned assessed level of control risk because the sample exception rate plus the allowance for sampling risk is less than the tolerable rate.
d) Accept the sample results as support for the planned assessed level of control risk because the tolerable rate minus the allowance for sampling risk equals the expected population exception rate.

Answers

The correct answer is: a) Modify the planned assessed level of control risk because the sample exception rate plus the allowance for sampling risk exceeds the tolerable rate.

In attribute sampling, the auditor evaluates a sample to assess the control risk associated with a particular attribute or characteristic. In this case, the attribute being tested is the exception rate among the documents.

Given the information provided:

Sample size (n) = 50 documents

Number of exceptions found in the sample = 1

Tolerable rate = 6%

Expected population exception rate = 1%

Allowance for sampling risk = 3%

To evaluate the sample results, we need to consider the sample exception rate plus the allowance for sampling risk and compare it with the tolerable rate.

Sample exception rate = (Number of exceptions found / Sample size) * 100

= (1 / 50) * 100

= 2%

Sample exception rate + Allowance for sampling risk = 2% + 3% = 5%

Since the sample exception rate plus the allowance for sampling risk (5%) exceeds the tolerable rate (6%), the auditor needs to modify the planned assessed level of control risk. This means that the auditor should conclude that the control is not operating effectively at the desired level and may need to adjust their assessment of control risk accordingly.

Therefore, the correct answer is a) Modify the planned assessed level of control risk because the sample exception rate plus the allowance for sampling risk exceeds the tolerable rate.

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FILL IN THE BLANK. Use the convolution theorem to obtain a formula for the solution to the given initial value problem, where g(t) is piecewise continuous on (0,[infinity]) and of exponential order. y'' +9y = g(t); y(0) = 0, y'(0) = 2 Enter a formula for the solution using v as the convolution variable. y(t) = ________

Answers

Using the convolution theorem, the formula for the solution to the initial value problem y'' + 9y = g(t), y(0) = 0, y'(0) = 2, where g(t) is piecewise continuous on (0,[infinity]) and of exponential order is y(t) = 2/3 * ∫[0,t] v*sin(3(t-v))g(v)dv.

We can use the convolution theorem to find the solution to the given initial value problem. First, we take the Laplace transform of both sides of the differential equation to get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = G(s)

where Y(s) and G(s) are the Laplace transforms of y(t) and g(t), respectively. Substituting y(0) = 0 and y'(0) = 2, we get:

s²Y(s) + 9Y(s) = G(s) + 2s

Solving for Y(s), we get:

Y(s) = (2/3) * [s/(s² + 9)] * G(s) + (2/3) * [3/(s² + 9)]

Taking the inverse Laplace transform of Y(s), we get:

y(t) = 2/3 * ∫[0,t] sin(3(t-v))g(v)dv

where the integral is a convolution of sin(3(t-v)) and g(v). This can be written as:

y(t) = 2/3 * sin(3t) * ∫[0,t] cos(3v)g(v)dv - 2/3 * cos(3t) * ∫[0,t] sin(3v)g(v)dv

Using the initial conditions, we can simplify the formula to:

y(t) = 2/3 * ∫[0,t] v*sin(3(t-v))g(v)dv

Therefore, the solution to the given initial value problem is y(t) = 2/3 * ∫[0,t] v*sin(3(t-v))g(v)dv.

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An entrance ticket to a museum is $13.00 per person. If $364.00 is spent in entrance fees, then how many tickets were purchased? Write an equation. What is the constant of proportionality?

Answers

Answer:

28 tickets were purchased

Step-by-step explanation:

Help Please & thanks!

Help Please & thanks!

Answers

Answer:

14 out of the total class of 35 are boys

Step-by-step explanation:

35 / 5 = 7

7 * 2 = 14

help me pleasee, my brain won't work

help me pleasee, my brain won't work

Answers

The given fractions have equal value, so Liam is correct.

How to find the equivalent fractions?

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Diego goal is to walk more than 70.000 steps this week

Answers

The inequality that shows the mean number of steps that Diego needs to walk is ( 4 ( 8, 019 + 3 x ) ) / 7 > 70, 000.

How to find the inequality ?

Assuming that the number of steps that Diego needs to take in the last 3 days to walk more than 70, 000 steps is x, then we have :

= 3x

The number of steps taken in the 4 days already is:

= 4 ( 8, 019 )

The average is then :

= Number of steps / Number of days

= ( 4 ( 8, 019 + 3 x ) ) / 7

This average is to be more than 70, 000 steps so the inequality is:

( 4 ( 8, 019 + 3 x ) ) / 7 > 70, 000

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The full question is:

Diego's goal is to walk more than 70,000 steps this week. The mean number of steps that Diego walked during the first 4 days of this week is 8,019.

Write an inequality that expresses the mean number of steps that Diego needs to walk during the last 3 days of this week to walk more than 70,000 steps.

A local charity earns money to donate to flood victims. It receives $200 per day in cash donations and $150 in pledges. Its operating costs are $75 per day. After how many days will the charity have enough money to make a donation of at least $1000?

Answers

Answer:

4 days at least

Step-by-step explanation:

Someone help please

Someone help please

Answers

Step-by-step explanation:

T

\(t = \frac{pv}{nr} \)

what's x + y

\( {x}^{2} + {y}^{2} + 2xy = 9\)

Answers

Answer:

the awnser is 10 and 1/x+ 1/y is = 5/12

What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
O y = x +4
O y = kx + 12
O y=-5x + 4
O y = -5x + 12

Answers

Step-by-step explanation:

What is the equation of the line that is parallel to the

given line and passes through the point (-2, 2)?

O y = x +4

O y = kx + 12

O y=-5x + 4

O y = -5x + 12

Find the area of the polygon.

Answers

Answer:

Where is the polygon?

How do you find the area of a Pentagon with an apothem of 10mm?

Answers

The calculated area of the pentagon is 288.50 mm² if one of the sides of the apothem of 10mm.

Length of apothem = 10mm

The formula used to find the area of a pentagon is:

Area = (1/2) × apothem × perimeter

Here the perimeter is the unknown term, so we need to calculate the perimeter of the Pentagon. The perimeter of a pentagon is calculated by the product of 5 times the length.

Let us assume that the length of one side of the Pentagon = s

The side of the Pentagon is:

s = (2 × apothem) / tan(180° / 5)

s = (2 × 10) / tan(36°)

s = 11.54 mm

Perimeter = 5*s

Perimeter = 5 * 11.54 = 57.70 mm

Now, the area of the Pentagon is:

Area = (1/2) × apothem × perimeter

Area = (1/2) × 10 × 57.70 = 288.50 mm²

Therefore, we can conclude that area of the pentagon is 288.50 mm².

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What’s the answer????(i will mark whoever answers the question right as Brainelist)

Whats the answer????(i will mark whoever answers the question right as Brainelist)

Answers

Bob was enrolled in yoga classes for 1 year = 12 months

Find the average velocity of a particle on the interval [1,3] if the particle's position is given by s(t) = -t^2 + 5t, where t i smeasured in seconds and s(t) in feet. b. At what time c does the particle reach its average velocity?

Answers

A)  The average velocity of the particle is 4.5 feet per second

B)  The particle reaches its average velocity at time c is 5.25 seconds.

The average velocity of a particle on the interval [1,3] is given by the formula:

average velocity = (change in displacement) / (change in time)

The change in displacement is given by

s(3) - s(1) = (-3² + 5(3)) - (-1² + 5(1)) = 9 feet.

The change in time is 3 - 1 = 2 seconds.

Therefore, the average velocity of the particle is:

average velocity = (change in displacement) / (change in time) = 9 / 2 = 4.5 feet per second.

To find the time c when the particle reaches its average velocity, we need to solve the equation:

s(c+2) - s(c) = 4.5(2)

where s(t) = -t² + 5t.

Substituting s(t) into the equation, we get:

(-c-2)² + 5(c+2) - (-c² + 5c) = 9

Simplifying the equation, we get:

-4c + 21 = 0

Solving for c, we get:

c = 21/4

Therefore, the particle reaches its average velocity at time c = 5.25 seconds.

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If I ran 10x-2 now and then ran 2x+18 tommarow how much have I ran in total

Answers

Answer:

10x-2+2x+18

=10x+2x+18-2

=12x+16

Answer:8x-16

Step-by-step explanation:

Does anyone know how to work this out step by step?

Does anyone know how to work this out step by step?

Answers

Answer:

\(2x^{3} +10\)

Step-by-step explanation:

\(x*2x*x+10=2x^{3} +10\)

For each pair of signals x() and ℎ() given below, compute the convolution integral y() = x() ∗ ℎ()

1) x() = () and ℎ() = ^(−2) ( − 1)

Answers

The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:

y(t) = ∫[x(τ) * h(t - τ)] dτ

1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)

The convolution integral becomes:

y(t) = ∫[δ(τ) * δ(t - τ - 2) * (τ - 1)] dτ

To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:

y(t) = δ(t - 2) * (t - 1)

The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.

In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).

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Please help. Will give brainliest. Please answer in SIMPLE terms. The book has the answer and solution but it just doesn’t make sense.

Please help. Will give brainliest. Please answer in SIMPLE terms. The book has the answer and solution

Answers

Answer:

250 cm²

Step-by-step explanation:

1 cm : 2 km

1 cm² : 4 km²

1 000 km² ÷ 4 km² = 250 cm²

if × = - 4 what is the value or 6​

Answers

Answer:

6 hundred-thousands  or  600,000.

Step-by-step explanation:

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