Need Help please,
Which graph is generated by this table of values?

The amount deposited at each rate is 7,700 if the total annual interest income is $2030

What is annual interest income?

The compensation received by an entity for lending its money or allowing another organization to utilize it is known as interest income. The amount that an investor's money invested in a project or venture earns is referred to as interest income on a bigger scale.

Here, we

Let x = the amount invested at 4.5%.

let y = the amount invested at 5.0%.

Total interest is $2030

Equation becomes:

.045*x + .05*y = 2030.....(1)

y = 2 x,

so we can replace y with 2x and your equation becomes:

.045*x + .05*2*x = 2030

factor out the x to get x * (.045 + .05*2) = 2030

simplify and combine like terms to get

.145 * x = 2030

solve for x to get x = 14,000

2x is therefore equal to 28,000.

she has 14,000 invested at 4.5% and

28,000 invested at 5%.

Now, put the value of x and y in equation (1), and we get

.045*14,000 + .05*28,000 = 7,700

Hence, the amount deposited at each rate is 7,700 if the total annual interest income is $2030.

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Answer:

Well this is just division

I’m sure you know how to divide fractions.

Always make them improper first and then multiply the reciprocal of the second given number

For example you have 3/5 ÷ 1/3

Its not mixed number so no need to convert into improper

So now you find the reciprocal of 1/3

The reciprocal is basically you jsut flipping it upside down

So 1/3 turns into 3/1

Now you ust multiply

3/5 * 3/1 which is 9/5 or 1 4/5

You are now being Told to find the comparison

TO find the comparison you jsut compare the 2 quotients

For example for number 1 we already knwo the first one which is 9/5

The second one is 1 1/5 ÷ 3/8.

Theres a mixed number so convert that into improper

You have to multiply the denominator with the whole number and then add that product to the numerator. Keep the denominator so in this case

1 1/5 is 6/5

6/5 ÷ 3/8

Follow the same rules as multiplying fractions

6/5 * 8/3

48/15

or 3 3/15 or 3 1/5

You can obviously see the difference becuase 1 4/5 < 3 1/5

So the answer here is ‘<“

Also if a scenario ends with something different without a common denominator, jsut cross multiply the 2 things and which ever side gets the greater number is the greater one.

Step-by-step explanation:

1 quotient 1 4/5

may paliwanag na sa iba pinsan

It took Emily 33.4 minutes to make dinner.

A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.

To solve the problem, we have to convert the mixed number  \(9 \frac{1}{10}\)   to a decimal number:

⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)

⇒ \(\frac{91}{10}\)  =  9.1

This means that Emily finished making dinner 9.1 minutes sooner than the cake.

To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:

⇒ 42.5 - 9.1 = 33.4 minutes

Therefore, it took Emily 33.4 minutes to make dinner.

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Answer:

1.56499409

Step-by-step explanation:

We solve using Poisson Distribution

P = λ^k × e^-λ/k!

λ is the average of events = mean rate of 2 cars per half an hour = 2 × 2 = 4

e is the euler's number

k is the number of events you want to know the probability = no more than 4

= ≤ 4

Hence:

P(≤ 4) = 4^4 × e^-4/4! + 4^3 × e^-4/3! + 4^2 × e^-4/2! + 4^1× e^-4/1! + 4^0× e^-4/0!

P(≤ 4) = 0.1953668148 + 0.1953668148 + 1.0826822659 + 0.0732625556 + 0.0183156389.

P(≤ 4) = 1.56499409

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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Answer:

(P,O)(M,N)(M,P)(N,O)

Step-by-step explanation:

brainliest pleeez

Answer:

The value of x will be:

\(x=22\sqrt{2}\)

or

\(x = 31.1\)

Step-by-step explanation:

Given

To determine

hypotenuse x = ?

For a right-angled triangle with sides, a and b the hypotenuse c is defined as

\(c=\sqrt{a^2+b^2}\)

substituting a = 22, b = 22 and c = x

\(x=\sqrt{22^2+22^2}\)

\(x=\sqrt{22^2\cdot \:2}\)

Apply radical rule:  \(\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0\)

\(x=\sqrt{2}\sqrt{22^2}\)

\(x=22\sqrt{2}\)

or

\(x = 31.1\)

Therefore, the value of x will be:

\(x=22\sqrt{2}\)

or

\(x = 31.1\)

The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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Using the arrangements formula, the number of ways to organize the plates in each case is given as follows:

ii) No brownie next to another brownie: 570,240

iii) Chocolate biscuits kept together: 8,709,120.

The number of possible arrangements of a set of n elements is given by the factorial of n, that is:

\(A_n = n!\)

In item a, if the brownies cannot be together, we have that:

Hence the number of ways to organize the cupcakes is:

\(C_{11,8} \times 4! \times 4! \times 3! = \frac{11!}{8!3!} \times 4! \times 4! \times 3! = 570,240\)

In item b, the chocolate biscuits have to be kept together, hence:

Hence the number of ways that the biscuits can be arranged is:

9 x 4! x 8! = 8,709,120.

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Answer:

-16 should be the answer

Step-by-step explanation:

According to PENDAS you always to parentheses first so (7-15)= -8 you then multiply that by 2 and get -16.

Hope this helps.

The equation is written as

Aisha has 15 points

Let's use the given information to set up an equation to represent the relationship between the points each friend has.

Let x be the number of points Aisha has.

Then, according to the problem statement, we know that:

Carter has 7 1/2 more points than Aisha, so he has

x + 7 1/2 points.

Jamila has 4 - 1/2 more points than Carter, so she has

x + 7 1/2 + 4 - 1/2 points,

which simplifies to x + 11 points.

Jamila has 26 points, so we can set x + 11 equal to 26 and solve for x:

x + 11 = 26

x = 26 - 11

x = 15

Therefore, Aisha has 15 points.

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Answer:

O a=0

Step-by-step explanation:

Answer: 14%

Step-by-step explanation:

Let's assume that there are 100 books in total.

So there are 60 fiction books and 40 nonfiction books.

10% of 60 is 6.

20% of 40 is 8.

So there are 14 books out of 100 that are worn.

This is 14%

Answer:

No

Step-by-step explanation:

a function can not repeat

The table given in the problem does not represent a function.

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

The ordered pair for data given in the table is as below,

{(2, 5), (3, 6), (4, 6), (5, 9), (8, 11)}

Suppose x denotes the first elements and y the second elements of the  ordered pair.

Then, from the ordered pair it is concluded that for x = 3 and x = 4, the value of y is 6.

Which implies that the values of x are not unique for a given value of y.

Thus, it does not represent a function.

Hence, the given table does not represent a function as the values in the domain set are not unique.

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Answer:

w=-8

Step-by-step explanation:

take both sides and divide by 7

(w+13)=5

subtract both sides by 13

w=-8

Answer:

the answer is d because 0.978 cool number like yaaaa.

Step-by-step explanation:

The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.

Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).

The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.

2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.

The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.

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Question :

Which mixed numbers have 12 as the LCD (lowest common denominator)?

2 11/12

3 1/7

5 3/4

6 4/5

8 38/47

Answer: q=5/3

Step-by-step explanation:

Let's take our equation

7/3=q+2/3

-2/3   -2/3

5/3=q

q=5/3

Answer: q = 5/3

Step-by-step explanation: Step 1: Flip the equation.

q + 2/3 = 7/3

Step 2: Subtract 2/3 from both sides.

q + 2/3 - 2/3 = 7/3 - 2/3

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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Answer:

Sampling bias can occur when the procedure leads to a favoring of one population over another.

When the researcher wants to know on average how a certain plant will grow; given that they have been germinated for a week's time. By oy using a certain plant, assuming t

Answer:

Yes, he sampled plants from only one​ tray, so the sample is not random.

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

As the number of successful bit transmissions in a sequence of 10 bits sent over the internet. Then x follows a binomial distribution with parameters n=10 and p=0.5.

The binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has only two possible outcomes: success or failure. In this case, the number of trials is 10 (n=10) and the probability of success in each trial is 0.5 (p=0.5).

Since each bit transmitted over the internet can be considered a Bernoulli trial, it follows that the number of successful transmissions (x) follows a binomial distribution with parameters n=10 and p=0.5.

These properties make the binomial distribution a useful model for situations where the number of trials is fixed, each trial is independent, and each trial has only two possible outcomes.

In the example of sending bits over the internet, each bit transmission can be considered a Bernoulli trial, so the number of successful transmissions follows a binomial distribution.

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\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

Answer: 11,499.0145103 ft (\(60.5^{2}\pi \))

Step-by-step explanation:

\(a = \pi r^{2}\)
121 = d, d = rx2
121/2 = 60.5
\(60.5^{2} \) = 3660.25
3660.25 x \(\pi \) = 11,499.0145103

Answer: 11,499.0145103 ft

Answer:

D

Step-by-step explanation: