Roberto deposited $5,000 into an account with 4.2% interest, compounded monthly.
Assuming no other deposits or withdrawals are made, how much will be in the account
after 5 years?
Round your answer to the nearest cent.

Helpppp!!!

Answer:

246000 in scientific notation is 2.46e5, or 2.46 x 10^5

Step-by-step explanation:

246000, move the decimal place 5 places to the left.

2.4x10^5

Answer:

2.46 × 10⁵

Step-by-step explanation:

The decimal point is after the first non-zero digit.

⇒ 2.46

Multiply the number with base 10 and an exponent which will equal to 246,000.

⇒ 10⁵

Answer:

A. (0,2) and (7,23)

Step-by-step explanation:

To solve, we set both equations equal to each other (because both equations equal y).

3x + 2 = x^2 -4x + 2

x^2 - 7x = 0

x(x-7)

so the x values are 7 and 0.

Plugging x back into the linear equation (because it’s easier)

3(7) + 2 = 23

3(0) + 2 = 2

so the answers are (7, 23) and (0,2)

Answer:

Step-by-step explanation:

Given the 3* 3 matrices [tex]\left[\begin{array}{ccc}0&4&1\\5&-3&0\\2&3&1\end{array}\right][/tex], to compute the determinant using the first row means using the row values [0 4 1 ] to compute the determinant. Note that the signs on the values on the first row are +0, -4 and +1

Calculating the determinant;

[tex]= +0\left[\begin{array}{cc}-3&0\\3&1\\\end{array}\right] -4\left[\begin{array}{cc}5&0\\2&1\\\end{array}\right] +1\left[\begin{array}{cc}5&-3\\2&3\\\end{array}\right] \\\\= 0 - 4[5(1)-2(0)] +1[5(3)-2(-3)]\\= 0 -4[5-0]+1[15+6]\\= 0-20+21\\= 1[/tex]

The determinant is 1 using the first row as co-factor

Similarly, using the second column [tex]\left[\begin{array}{c}4\\-3\\3\end{array}\right][/tex] as the cofactor, the determinant will be expressed as shown;

Note that the signs on the values are -4, +(-3) and -3.

Calculating the determinant;

[tex]= -4\left[\begin{array}{cc}5&0\\2&1\\\end{array}\right] -3\left[\begin{array}{cc}0&1\\2&1\\\end{array}\right] -3\left[\begin{array}{cc}0&1\\5&0\\\end{array}\right] \\\\= -4[5(1)-2(0)] - 3[0(1)-2(1)] -3[(0)-5(1)]\\= -4[5-0] -3[0-2]-3[0-5]\\= -20+6+15\\= -20+21\\= 1[/tex]

The determinant is also 1 using the second column as co factor.

It can be concluded that the same value of the determinant will be arrived at no matter the cofactor we choose to use.

Answer:

Step-by-step explanation:

According to law of gravitation, the gravitational force between two bodies of masses M and m is expressed as F = GMm/d² ... 1 where;

G is the gravitational constant

d is the distance between the masses

If the distance between two bodies is tripled and the mass of each is doubled, then the gravitational force will become:

F2 = G(2M)(2m)/(3d)²

F1 = 4GMm/9d² ... 2

Taking the ratio of the original gravitational force to the new one we have;

F1/F = 4GMm/9d²/GMm/d²

F1/F =  4GMm/9d² * d²/GMm

F1/F = 4/9

F1 = 4/9F

This shows that if the distance between two bodies is tripled and the mass of each is doubled, the force of gravitation between them will four - ninth the original force

The correct answer is D. Eleanor has collected 20 action figures. She plans to collect 2  additional figures per month

Explanation:

The purpose of using an equation is to express mathematically a situation or relation. This involves understanding accurately how factors or numbers relate. According to this, the equation y = 2x + 20 fits with the situation described in D because this equation can be used to calculate the number of books Eleanor has as y is the total; 2 is the number of new books per month; x the number of months; and 20 books Eleanor already has.

Also, the number of months is multiplied by 2, and this is added to 20 which equals the total number of books. For example, after three months the total of books would be 26 considering y (total of books) = 2 x 3 (months) + 20 ⇒ 26 books.

Answer:

[tex]\boxed{Costing Price = $675}[/tex][tex]\boxed{Costing Price = $675}[/tex]Costing Price = $675

Step-by-step explanation:

Selling Price = $432

Discount = 36% of the costing price (36/100 * CP)

Then, Costing Price:

Let costing price be x

=> x - 0.36 x = 432

=> 0.64 x = 432

Dividing both sides by 0.64

=> x = $675

So, the costing Price is $675

Answer:

should be - 8

Step-by-step explanation:

-2*-2=4 4*-2=-8

Answer:

Sandy should have evaluated (negative 2) cubed as –8.

Step-by-step explanation:

Got it right on the test

Answer: The number of different committees can be  formed = 55.

Step-by-step explanation:

Given: Number of members in a committee = 2

There are five men and six women  available to serve on the committee.

That means, Total persons available to serve on the committee = 5+6=11

Number of combinations of choosing r things from n things is given by:-

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So, the number of ways to choose 2 members out of 11 = [tex]^{11}C_2=\dfrac{11!}{2!9!}[/tex]

[tex]=\dfrac{11\times10}{2}=55[/tex]

Hence, the number of different committees can be  formed = 55

Answer:

sorry but are you dyin why do u need help why do you need someone to save you just say i need answers to this equation pls

Answer:

The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.

[tex]H_a:\mu_1-\mu_2\neq 0[/tex]

Step-by-step explanation:

This would be an two-sample hypothesis test for the difference between two means.

As we are looking for differences, we are not testing if one population mean is bigger than the other. This will  be a two-tailed test and the alternative hypothesis will have a unequal sign.

The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.

This can be written as:

[tex]H_a:\mu_1-\mu_2\neq 0[/tex]

meaning that the population means are significantly different.

Answer:

We have this original function given:

[tex] g(x) =-x^2 +5[/tex]

And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:

[tex] h(x)= g(x) -4[/tex]

And replacing we got:

[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]

Step-by-step explanation:

We have this original function given:

[tex] g(x) =-x^2 +5[/tex]

And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:

[tex] h(x)= g(x) -4[/tex]

And replacing we got:

[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]

Answer:

Sphete B have a surface area of 48 square feet

Step-by-step explanation:

Two spheres of

Sphere A the smallest and sphere B the biggest has a scale factor of 1/3

Sphere A has surface area of 16 square feet.

Let's determine the surface area of sphere B.

Sphere A /sphere B = 1/3

Sphere A = 16

16/sphere B = 1/3

3*16= sphere B *1

48 = sphere B

Sphete B have a surface area of 48 square feet

Answer:

Addition = 3656999

Step-by-step explanation:

Predecessor of number = (Number - 1)

Predecessor of 365000 = 365000 - 1

                                         = 364999

Successor of a number = (Number + 1)

Successor of 3291999 = 3291999 + 1

                                      = 3292000

Now we have have to add the predecessor of 365000 and successor of 3291999,

364999 + 3292000 = 3656999

In other words addition of predecessor of any number and successor of other number will be same as the sum of both the numbers.

Option  A.) Picture 1 is correct

in the problem inequality y ≤ 2x − 4 is given
Right graph for boundary line has been asked.

Inequality can be defined as the relation of the equation contains the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

For the boundary line
y ≤ 2x − 4  this equation transform into
y= 2x-4
above equation is the boundary condition for the given inequality
so in picture one the the dotted line shows the information of equation
y= 2x-4.

Thus, the boundary condition for inequality y ≤ 2x − 4 is in picture 1

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Answer: 7/100

Step-by-step explanation:

In this question, ignore the 8 and the 3 and focus on the 7.  Isolate it and you will get 0.07.  0.07 in fraction from is 7/100.

The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Given the decimal,

0.873

8 → Tenth place (Fraction value 8/10)

7 → Hundredth place(Fraction value 7/100)

3 → Thousandth place (Fraction value 3/1000)

Since 7 is at hundredth place thus it will be 7/100.

Hence "The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07".

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Answer:

[tex]0.0553 - 1.96\sqrt{\frac{0.0553(1-0.0553)}{380}}=0.0323[/tex]

[tex]0.0553 + 1.96\sqrt{\frac{0.0553(1-0.0553)}{380}}=0.0783[/tex]

Step-by-step explanation:

The info given is:

[tex] X= 21[/tex] number of students who said that they planned to work in a rural community

[tex] n= 380[/tex] represent the sample size selected

[tex]\hat p =\frac{21}{380}= 0.0553[/tex] the estimated proportion of students who said that they planned to work in a rural community

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]

The confidence interval for the mean is given by the following formula:  

[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

Replpacing we got:

[tex]0.0553 - 1.96\sqrt{\frac{0.0553(1-0.0553)}{380}}=0.0323[/tex]

[tex]0.0553 + 1.96\sqrt{\frac{0.0553(1-0.0553)}{380}}=0.0783[/tex]

A mean for estimation is the minimum-maximum variation estimate's C.I. The % of pupils planning to work in a rural community alters between 0.0323 and 0.0783.

Confidence interval:

Let's [tex]p^{}[/tex] represent the sampling fraction of the people who promised to work in a rural area.

Sample size:

[tex]n = 380[/tex]

x: the large number the pupils expected to work in a rural setting

[tex]p^{} = \frac{x}{n} \\\\p^{} = \frac{21}{ 380} = 0.0553\\\\(1- \alpha)\ \ 100\%[/tex]confidence for true proportion:

[tex]( p^{}\ \pm Z_{\frac{\alpha}{2}} \times \sqrt{p^{} \times \frac{(1-p^{})}{n}} ) \\\\[/tex]

For [tex]95\%[/tex]confidence interval:

[tex]\to 1 - \alpha = 0.95[/tex]

When:

[tex]\to \alpha = 0.05[/tex]

Calculating the value of Z by using the table:

[tex]\to Z_{0.025} = 1.96[/tex]

When the  [tex]95\%[/tex] of the confidence interval:

[tex]\to (0.0553 \pm Z_{0.025} \times \sqrt{(0.0553 \times \frac{(1- 0.0553)}{380}})\\\\\to (0.0553 - Z_{0.025} \times \sqrt{(0.0553 \times \frac{(1- 0.0553)}{380})},0.0553 + Z_{0.025} \times \sqrt{(0.0553 \times \frac{(1- 0.0553)}{380}))}\\\\[/tex]

by solving the value we get:

[tex]\to ( 0.0323 , 0.0783 )[/tex]

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Answer: -8

Step-by-step explanation: If he scored -2 four times then his score would be -8 (-2×4).

Answer:

Option C is correct.

The discriminant of the function is negative since the function doesn't have real roots as evident from the graph.

Step-by-step explanation:

The discriminant of a quadratic equation is the part of the quadratic formula underneath the square root symbol, that is, (b² - 4ac).

The discriminant tells us whether there are two solutions, one solution, or no solutions.

- When the discriminant is positive or greater than zero, that is, (b² - 4ac) > 0, the quadratic function has 2 real distinct roots.

- When the discriminant is equal to zero, that is, (b² - 4ac) = 0, the quadratic function has 1 repeated root.

- When the discriminant is negative or lesser than zero, that is, (b² - 4ac) < 0, the quadratic function has no real roots.

For this question, the graph of the quadratic function shows that it doesn't have real roots (this is evident because the graph doesn't cross the x-axis), hence, the duscriminant of this quadratic function has to bee negative.

Hope this Helps!!!

Answer:

The answer to each point is below

Step-by-step explanation:

We will solve point by point:

a)  We have to:

Random variable X = number of heads

Let, H => heads, T => tails

b) We have that the combinations are

TTT, TTH, THT, THH, HTT, HTH, HHT, HHH

Number of Heads (X)  0     1      2     3

Probability (P)             1/8   3/8  3/8   1/8

c) attached the histogram.

d)  We have the following:

Mean = E (X) = 0 * 1/8 + 1 * 3/8 + 2 * 3/8 + 3 * 1/8

m = 1.5

The mean is 1.5

e) E (X ^ 2) = 0 * 1/8 + 12 * 3/8 + 22 * 3/8 + 32 * 1/8 = 3

Variance = E (X ^ 2) - (E (X)) ^ 2

Var = 3 - (1.5) ^ 2

Var = 0.75

The variance is 0.75

f) standard deviation = (Var) ^ (1/2) = (0.75) ^ (1/2) = 0.866

sd = 0.866

the standard deviation is 0.866

g) P (2 or more heads) = 3/8 + 1/8 = 0.5

The probability is 50%

h)  P (two heads) = 3/8 = 0.375

It is likely that out of 8 times of 3 flips, 3 times we can observe two heads out of 3, therefore it is not unusual.

Answer:

Validation

Step-by-step explanation: Validation is a term used to describe the processes involved when we compare a set of values and observations against a set standard or rules to ensure that they meet certain expectations or criteria.

Validation is meant to prove that something, a data set etc are acceptable based on known rules, the rules or standards which is used to evaluate what can be described as valid.

Answer:

B. (-0.5, 5.75)

Step-by-step explanation:

Use a graphing calc and analyze the graph for the minimum value (vertex).

Answer:

Hey there!

3/4= 0.75

1/5=0.2

3/10=0.3

1/7=0.14

Thus, 1/7 is the smallest fraction.

Hope this helps :)

Answer:

Probability = 0.10565

Step-by-step explanation:

Given:

Mean, u = 2

x = 2.5

CV = 20% = 0.2

To find standard deviation [tex] \sigma[/tex] use the formula:

[tex] CV = \frac{\sigma}{u} [/tex]

[tex] 0.2 = \frac{\sigma}{2} [/tex]

[tex] \sigma = 0.2 * 2 [/tex]

[tex] \sigma = 0.4 [/tex]

Find Z, using the formula:

[tex] Z = \frac{x - u}{\sigma} [/tex]

[tex] Z = \frac{2.5 - 2}{0.4} [/tex]

[tex] Z = \frac{0.5}{0.4} [/tex]

[tex] Z = 1.25 [/tex]

Using the p value table,

P(x > 1.25) = 0.10565

Therefore, The probability that this building will settle more than 2.5 inches is 0.10565

Answer:

There is enough paint to cover the tank with one layer of paint.

Step-by-step explanation:

Given the cilindrical configuration of the tank and supposing that only external face must be painted, the surface area of the section (lateral wall + lid) can be calculated by the following expression:

[tex]A_{s} = 2\pi\cdot r\cdot h + \pi\cdot r^{2}[/tex]

Where [tex]r[/tex] and [tex]h[/tex] represent the radius and the height of the cube, respectively.

If [tex]r = 0.55\,m[/tex] (a diameter is two times the length of radius) and [tex]h = 1.4\,m[/tex], the intended surface area is:

[tex]A_{s} = 2\pi\cdot (0.55\,m)\cdot (1.1\,m)+\pi\cdot (0.55\,m)^{2}[/tex]

[tex]A_{s} \approx 4.751\,m^{2}[/tex]

It is known that 250 mL of paint are needed to cover a square meter of the surface area, the needed amount of paint to cover the required area is estimated by simple rule of three:

[tex]Q = \frac{4.751\,m^{2}}{1\,m^{2}}\times (250\,mL)[/tex]

[tex]Q = 1187.75\,mL\,(1.188\,L)[/tex]

In consequence, there is enough paint to cover the tank with one layer of paint.

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▹ Answer

Area = 9

▹ Step-by-Step Explanation

A = b * h ÷ 2

A = 9 * 2 ÷ 2

A = 9

Hope this helps!

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Brainliest is greatly appreciated!

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Answer:

The area formula of a triangle is (base * height) / 2 and the area of a square is s² where s is the length of one side.

Answer:

-4/8

Step-by-step explanation:

Using rise over run would give you -4/8. Since the rise is going downward four times the number would be negative. Since the run is going to the right 8 times it would be positive.

Answer:  the slope is -1/2

Step-by-step explanation:  The rise is -4. Easy to see from the y-intercept, 4 below the origin. The run is 8, again easy to see from the distance between the x-intercept at -8, 8 unite away from the origin.

So slope = rise/run -4/8   simplify (by LCM, 4) So you get slope = -1/2

Answer:

true

Step-by-step explanation:

doesn't over lap each other

Answer: d) 95 degrees

Step-by-step explanation:

To find this solution, simply subtract -20 from 75, to get 95.  In reality, you would take the absolute value of one temperature - another, but all you need to remember is to always subtract the smaller temperature from the larger.

Answer:

95 degrees(answer d)

Step-by-step explanation:

when you have a negative temp. and a positive temp., you add the two numbers to find the difference.

that means, 20+75=95 degrees(take away the negative sign when adding only.)

That means the difference between the two temperatures is 95 degrees.

Answer:

B

Step-by-step explanation:

Took the test edge2021

The function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

A function which is at x = 2 mapped to 32

The above statement means that at x = 2

The value of the function will be 32

The given functions:

f(x) = -3x² - 4

Plug x = 2

f(2) = -3(2)² - 4

f(2) = -16

g(x) = 4(x + 3)² - 68

Plug x =2

g(2) = 4(2 + 3)² - 68

g(2) = 100 - 68

g(2) = 32

Thus, the function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.

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