Mr. Hayes opened an account with a deposit of $3,500
1)The account earned compound interest
2) He did not make any additional deposits or
withdrawals
3)At the end of 5 years his balance was
$4,097.01
What is the annual interest rate on this account?
A) 2.8%
D) 44%
B) 32%
E) 51%
C 37%
F) None of the above

Answer:

Total savings= $368

Step-by-step explanation:

Giving the following formula:

Jesse has already saved $276 for a trip to Florida. This is 75% of his goal.

To calculate the total amount to be saved, we need to use the following formula:

Total savings= amount saved / saving percentage

Total savings= 276 / 0.75

Total savings= $368

Answer:

B

Step-by-step explanation:

sInce his average is equal or greater than league's average

Answer:

157

Step-by-step explanation:

just trust me bro

Answer:

You are correct the tax would be that

Step-by-step explanation:

Answer:

The family spends 41/60 of its income on these items altogether.

Step-by-step explanation:

Given that a family spends 1/10 of it's annual income for housing, 1/4 for food and clothing, 1/5 for general expenses and 2/15 for entertainment, to determine what fractional part of their income is spent on these items altogether the following calculation must be performed:

10, 4, 5, and 15 have a common least multiple at 60.

1/10 = 6/60

1/4 = 15/60

1/5 = 12/60

2/15 = 8/60

6 + 15 + 12 + 8 = 41

Therefore, the family spends 41/60 of its income on these items altogether.

Answer:

4x - 9

Step-by-step explanation:

4 times a number means 4x

9 decreased by means -9

Combined:

4x - 9

Answer:

9 - 4x

Step-by-step explanation:

this is so easy

Answer:

it depends how many weeks look below

Step-by-step explanation:

1 week=$100.00

2 weeks=$115.00

3 weeks=$130.00

4 weeks=$145.00

and so on

pretty much every week you go up, she earns 15 bucks

hope this helps! have a good day :)

Answer:

The answer is 21/25.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

i thought it was one number

Step-by-step explanation:

Answer:

Its either L or N im not sure but if i had to guess out of the two i think its L.

Step-by-step explanation:

Answer:

The last option is your answer

Step-by-step explanation:

Answer:

C=84

Step-by-step explanation:

Since you use 3 for pi. You plug the radius into the formula. C=2×3x14=84

Answer:

y = 2 x^2 + 5

Step-by-step explanation:

y = 2x^2 + 5

y = 2(-2)^2 + 5

y= 2(4) + 5

y = 8 + 5

y = 13

you can try for yourself using the other values

Answer:

3 feet per minute

Step-by-step explanation:

Look at an easy to read point on a grid line intersection.

Then find the slope. Slope = constant of proportionality.

For example, look at point (2, 6) which means that when time = 2 minutes, distance = 6 feet.

(6 ft)/(2 sec) = 3 feet per minute

Answer: 3 feet per minute

Answer:

I'm gonna say 12??

Step-by-step explanation:

Am I close?

Have a nice day! <3

Answer:

0% of 44=0

100% if 44=44

50% of 44=22

25% of 44=11

75% of 44=33

Answer:

Im confused it is not the full information for the question

Step-by-step explanation:

Answer:

it the Ine that you add 3+ 7+2 so it make 9 but it is 10 be cus it 6th so that make 60 so it Canada

Step-by-step explanation:

Answer:

(a) 100 fishes

(b) t = 10: 483 fishes

    t = 20: 999 fishes

    t = 30: 1168 fishes

(c)

[tex]P(\infty) = 1200[/tex]

Step-by-step explanation:

Given

[tex]P(t) =\frac{d}{1+ke^-{ct}}[/tex]

[tex]d = 1200\\k = 11\\c=0.2[/tex]

Solving (a): Fishes at t = 0

This gives:

[tex]P(0) =\frac{1200}{1+11*e^-{0.2*0}}[/tex]

[tex]P(0) =\frac{1200}{1+11*e^-{0}}[/tex]

[tex]P(0) =\frac{1200}{1+11*1}[/tex]

[tex]P(0) =\frac{1200}{1+11}[/tex]

[tex]P(0) =\frac{1200}{12}[/tex]

[tex]P(0) = 100[/tex]

Solving (a): Fishes at t = 10, 20, 30

[tex]t = 10[/tex]

[tex]P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483[/tex]

[tex]t = 20[/tex]

[tex]P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999[/tex]

[tex]t = 30[/tex]

[tex]P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168[/tex]

Solving (c): [tex]\lim_{t \to \infty} P(t)[/tex]

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of [tex]e^{-ct}[/tex] decreases

This implies that:

[tex]{t \to \infty} = {e^{-ct} \to 0}[/tex]

So:

The value of P(t) for large values is:

[tex]P(\infty) = \frac{1200}{1 + 11 * 0}[/tex]

[tex]P(\infty) = \frac{1200}{1 + 0}[/tex]

[tex]P(\infty) = \frac{1200}{1}[/tex]

[tex]P(\infty) = 1200[/tex]

This is the graph I hope this helps

Answer:

Hello, this would be a vertical angle graph. Since this graph is a supplementary graph since it stretches about 180 degrees, you would take both 7x and x+20 and set it equal to 180 like this:

7x+x+20=180

Then, you combine the xs and you would get this:

8x+20=180

Then, subtract 20 from both sides like this:

8x=160

Lastly, you would divide 8 by both sides and get x which is:

x=20

Step-by-step explanation:

I hope this helped you!

Answer: 3 hours

Step-by-step explanation:

195/65=3

Answer:

3

Step-by-step explanation:

$195 divided by $65 is 3 hours of work

Answer:

40

Step-by-step explanation:

It tells you what Q, R is for the opening. That means that it is 40

The measure of angle PQR is 70 degrees

We have a right triangle - r is 90 degrees

based on geometric rules: angle RPQ = 20    

 40 : 2

90 + 20 = 110

110 + x = 180

What is the perimeter of the triangle?

The perimeter of the triangle is 180 degrees

The triangle has 180 degrees.

This means that 180 - 110 =70 degrees.

The measure of angle PQR is 70 degrees.

Answer:

y = csc(x) + 2

Step-by-step explanation:

The equation for the given graph is y = csc(x) + 2

'In graph theory, Graph equations are equations in which the unknowns are graphs. One of the central questions of graph theory concerns the notion of isomorphism. The graphs are expressed differently in terms of graph equations.'

According to the given problem,

We know, periodicity of a.csc( bx + c ) + d = [tex]\frac{periodicity of cscx}{[b]}[/tex]

The periodicity of csc(x) is 2π,

                                                                       ⇒ [tex]\frac{2\pi }{1}[/tex]

                                                                       = 2π

Hence, we can conclude, the equation y = csc(x) + 2 represents the given graph.

Learn more about equations of graphs here: https://brainly.com/question/24866278

#SPJ2

Answer:

The area of the printed picture is 172.5 square inches.

Step-by-step explanation:

Since a picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, and a margin of 1 1/2 inches is to be left on all sides of the picture, to determine what is the area of the printed picture the following calculation must be carried out, knowing that the area of a rectangle is equal to the base multiplied by the height:

81/2 = 40.5

1/2 = 0.5

40.5 - 1.5 x 4 = 34.5

11 - 1.5 x 4 = 5

34.5 x 5 = 172.5

Therefore, the area of the printed picture is 172.5 square inches.

Answer: DQQMNGV

Step-by-step explanation: Each letter is shifted two letters to the right on a letter strip (a -> b -> c), so BOOKLET would be DQQMNGV.

Hope this helps!

Answer:

The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.

Step-by-step explanation:

To solve this question, we need to understand the Central Limit Theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances:

Of the 193 smokers taking a placebo, 29 stopped smoking by the 8th day.

This means that:

[tex]p_S = \frac{29}{193} = 0.1503[/tex]

[tex]s_S = \sqrt{\frac{0.1503*0.8497}{193}} = 0.0257[/tex]

Of the 266 smokers taking only the antidepressant buproprion, 82 stopped smoking by the 8th day.

This means that:

[tex]p_A = \frac{82}{266} = 0.3083[/tex]

[tex]s_A = \sqrt{\frac{0.3083*0.6917}{266}} = 0.0283[/tex]

Calculate the estimated standard error for the sampling distribution of differences in sample proportions.

[tex]s = \sqrt{s_S^2 + s_A^2} = \sqrt{0.0257^2 + 0.0283^2} = 0.0382[/tex]

The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.

Answer:

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of sample x⁻ = 7.25 seconds

Given that the standard deviation of the sample (S)  = 0.15 seconds

Level of significance = 0.01

Degrees of freedom = n-1 =100-1 =99

t₀.₀₁ , ₉₉ = 2.3646

We have to find that the 99% of the confidence interval of the mean

Step(ii):-

99% confidence interval to estimate the mean discharge time for all capacitors

[tex](x^{-} - t_{0.01 , 99} \frac{S}{\sqrt{n} } , x^{-} + t_{0.01 , 99} \frac{S}{\sqrt{n} } )[/tex]

[tex](7.25 - 2.3646 \frac{0.15}{\sqrt{100} } , 7.25 + 2.3646 \frac{0.15}{\sqrt{100} } )[/tex]

(7.25 - 0.0354 , 7.25 + 0.0354)

(7.2146, 7.2854)  

Final answer:-

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)