answer plzzz 30 pointss for eachh

Answer:

4.08

Step-by-step explanation:

Interest I =Pnr

3 months =3/12 year = n

r = 3%

and, P = 544$

Therefore,

[tex]i = 544 \times (3 \div 100) \times (3 \div 12) \\ \: \: \: = 4.08[/tex]

Rich will accrue approximately $1,518.45 in interest during the 4.5-year nonpayment period on his federal unsubsidized student loan.

To calculate the interest that Rich will accrue during the 4.5-year nonpayment period on his federal unsubsidized student loan, we can use the formula for simple interest:

Interest = Principal (loan amount) x Rate x Time

Where:

Principal (loan amount) = $7,900

Rate = 4.29% (0.0429 as a decimal)

Time = 4.5 years

Now, plug these values into the formula:

Interest = $7,900 x 0.0429 x 4.5

Interest = $7,900 x 0.19205

Interest ≈ $1,518.45

So, Rich will accrue approximately $1,518.45 in interest during the 4.5-year nonpayment period on his federal unsubsidized student loan.

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Rich has been approved for a federal unsubsidized student loan and wants to know the interest that will accrue during his 4.5 years as a freshman in college. Calculating the interest using the formula, the total accrued interest is $1,146.75.

Rich is attending a 4-year college and has been approved for a 10-year federal unsubsidized student loan of $7,900 at an interest rate of 4.29%. During his 4 years as a freshman, he has the option to start repaying the loan after 4.5 years. However, interest will continue to accrue at a rate of 4.29% during this non-payment period.

To calculate the interest that will accrue during the 4.5 years, we can use the formula:

Interest Accrued = Principal x Interest Rate x Time

Substituting the values, we get:

Interest Accrued = $7,900 x 0.0429 x 4.5 = $1,146.75

Therefore, the interest that will accrue during the non-payment time is $1,146.75.

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Answer:

$2,940

Step-by-step explanation:

Data provided in the question:

Cost of merchandise purchased = $40,000

Cost of merchandise returned = $3,000

Terms = 2/10, n/30

Now,

The amount that will be recorded as the purchase return

= Cost of merchandise returned - Discount on cost of merchandise

= $3,000 - ( 2% of $3,000 )

= $3,000 - ( 0.02 × $3,000 )

= $3,000 - $60

= $2,940

Answer:

Part 1) Intervals of the domain where the  graph is above the x-axis (f(x) > 0)

Part 2) location on graph where input is zero  (y-intercept)

Part 3) location on graph where output is zero  (x-intercept)

Part 4) Intervals of the domain where the  graph is below the x-axis (f(x) < 0)

Step-by-step explanation:

Verify each case

Part 1) we have

Intervals of the domain where the  graph is above the x-axis

we know that

If the graph is above the x-axis, then the value of f(x) is positive

therefore

f(x) > 0

Part 2) we have

location on graph where input is zero  

Let

x ---> the independent variable or input value

f(x) ---> the dependent variable or output value

we know that

The y-intercept is the value of f(x) (output value) when the value of x (input value) is zero

therefore

y-intercept

Part 3) we have

location on graph where output is zero  

Let

x ---> the independent variable or input value

f(x) ---> the dependent variable or output value

we know that

The x-intercept is the value of x (input value) when the value of the function f(x) (output value) is zero

therefore

x-intercept

Part 4) we have

Intervals of the domain where the  graph is below the x-axis

we know that

If the graph is below the x-axis, then the value of f(x) is negative

therefore

f(x) < 0

Answer:

Intervals of the domain where the  graph is above the x-axis (f(x) > 0)

location on graph where input is zero  (y-intercept)

location on graph where output is zero  (x-intercept)

Intervals of the domain where the  graph is below the x-axis (f(x) < 0)

Step-by-step explanation:

answer edge 2020

Answer:

For 1 How does grandma have so many cookies??? For 2 if i eat 555 cookies then imma have diabetes. and for 3 there really is no way to find this out. The only way to find out how many cookies there is now it to see how much cookies there were before and you cant do that without seeing how much is in there now. Its a catch 22.

Step-by-step explanation:

Answer:

The following statements are true:

Step-by-step explanation:

Answer:

Keys would have to spend $6.60 on apples for both days.

Step-by-step explanation:

Keys went to buy 5 apples and 2 oranges for $3.45 and 7 apples and 3 oranges for $4.90 .

We have to find how much money she spends on apples on both the days.

Let price of apples be x and oranges be y.

We have to make equations and solve them to find the price of oranges and apples.

5x + 2y = 3.45

7x + 3y = 4.90

Solve both these equations to find x and y.

We get x= $0.55 and y = $0.35

Key has bought 12 apples and it would cost = 12 [tex]\times[/tex] 0.55

                                           = $6.60

Answer: interest at the end of 6 months is $10.62

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

T = 6 months = 6/12 = 0.5 years

P = $354

R = 6%

Therefore

I = (354 × 6 × 0.5)/100

I = 1062/100

I = 10.62

Explanation:

1. BF bisects ∠CBA. Given

2. ∠CBF ≅ ∠ABF. Definition of angle bisector

3. BF ≅ BF. Reflexive property

4. ∠CFB ≅ ∠AFB. Given

5. ΔCBF ≅ ∆ABF. ASA congruence postulate

6. CF ≅ FA. Corresponding parts of congruent triangles are congruent (CPCTC)

_____

Comment on the problem

It appears as though all of the congruence symbols have gone missing.

Answer:210

Step-by-step explanation:

175+70+15=210

Answer:the original price is $210

Step-by-step explanation:

Let x represent the original price of the tent. She bought it at price that is $70 off the original price. This means that $70 was taken off the original price.The amount after the discount has been removed would be

x - 70

Judy also used a coupon for an extra $15 off. This means that the amount the Judy finally paid for the tent would be

x - 70 - 15

if Judy paid $125 for the tent, it means that

x - 70 - 15 = 125

x = 125 + 70 + 15

x = $210

Answer:

12.584 N

Step-by-step explanation:

To solve this problem you need to use Hokke's law, this is a physics lar which states the force (F) you need to compress a spring for some distance (x) can be easily calculated with the equation F=kx. The constant k (the stiffness of the spring) is the value of 242 N/m and x is the distance 5.2 cm = 0.052 m. So if you multiply 242 N/m by 0.052 m you will obtain 12.584 N, which is the necessary force to compress the spring 5.2 cm. The mass of the spring is a nonrelevant data in this problem.

Answer:

Graph of the following function is attached with the answer.

Domain : ( - ∞ , + ∞ )

Range : ( 3 , + ∞ )

Step-by-step explanation:

[tex]f(x)=\frac{1}{2}x^{2}+3[/tex]

Domain of any quadratic equation is from negative infinity to positive infinity under no restrictions.

So, Domain : ( - ∞ , + ∞ )

The Range of any function can be calculated easily if there is just one term with variable. The method to find Range by that method is explained with the example as follows:

Therefore the Range of [tex]\mathbf{f(x)\boldsymbol=\frac{1}{2}x^{2}\boldsymbol+3}[/tex] is [ 3 , + ∞ )

(NOTE : [a,b] means all the numbers between 'a' and 'b' including 'a' and 'b'.

(a,b) means all the numbers between 'a' and 'b' excluding 'a' and 'b'.

(a,b] means all the numbers between 'a' and 'b' including only 'b' not 'a'.

[a,b) means all the numbers between 'a' and 'b' including only 'a' not 'b'.

{a,b} means only 'a' and 'b'.

{a,b] or (a,b} doesn't mean anything. )

Answer:

Degree of freedom = 19

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 20

For a t-test hypothesis it was claimed that the population mean is greater than 89 ​second.

1) df

Df denotes the degree of freedom.

2) Degree of freedom  = n - 1

where n is the sample size

Degree of freedom = 20 - 1 = 19

[tex]A_2[/tex] = 18°

[tex]A_3[/tex] = 4(18°) = 72°

Given:

Angles:

[tex]A_1[/tex] = 90°

[tex]A_2[/tex] = x

[tex]A_3[/tex] = 4x

Solution Pathway:

Under the rules for any triangle, a triangle's interior angles must add up to 180°. Using this, we can set up the equation:

Now let's solve for x.

Now that we know x is 18°, lets plug this value into the two unknown acute angles.

Answer:

72 degrees and 18 degrees.

Step-by-step explanation:

If the 2 angles are x and y, we have the system:

x + y = 90           (as it is a right triangle)

x = 4y                  (given).

Substitute x =- 4y in the first equation:

4y + y = 90

5y = 90

y = 18.

So  x + 18 = 90

x = 90 - 18

x = 72.

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Write the equation

                                   f(x) = 2x + 1

find f(2)

2.- Substitute x for 2

                                  f(2) = 2(2) + 1

3.- Simplify

                                 f(2) = 4 + 1

                                 f(2) = 5

Answer:

5

Step-by-step explanation:

2(2) + 1 = 5

Answer:

See proof below, the converse is true

Step-by-step explanation:

Let f be a function whose domain is the set A, and X,Y be arbitrary subsets of A. One way to prove the equality of sets f(X)∩f(Y)=f(X∩Y) is, by definition, to prove the inclusions f(X)∩f(Y) ⊆ f(X∩Y)  and f(X)∩f(Y )⊇f(X∩Y).

First, let a∈f(X)∩f(Y). Then a∈f(X) and a∈f(Y) by definition of intersection. Thus, a=f(t) for some t∈X (because a is an element of the direct image of X) and a=f(s) for some s∈Y. Then a=f(t)=f(s). We know that f is 1-1, so the previous equality implies that t=s. Now, t∈X and t=s∈Y, thus t∈X∩Y. Therefore, a=f(t) for some t∈X∩Y, which means that a is an element of the direct image of X∩Y, that is, a∈f(X∩Y). This holds for all a, thus f(X)∩f(Y) ⊆ f(X∩Y).

For the second inclusion, let b∈f(X∩Y), then there exists some z∈X∩Y such that b=f(z). Since z∈X∩Y, we have that z∈X and z∈Y. Thus, b=f(z) for some z∈X, that is, b∈f(X). Similarly, b∈f(Y) because b=f(z) and z∈Y. Therefore b∈f(X)∩f(Y) for all  b∈f(X∩Y), then f(X)∩f(Y )⊇f(X∩Y). Note that this holds for any function f, as we did not use that f is 1-1.

To prove the converse, suppose that f(X)∩f(Y)=f(X∩Y)  for all  X, Y⊆ A. We will prove that f is 1-1, that is, for all a,b∈A if f(a)=f(b) then a=b.

Define the sets X:={a} and Y:={b}. Then f(X)={f(a)} and f(Y)={f(b)}. Assuming that f(a)=f(b), we obtain f(X)=f(Y). We know that f(X)∩f(Y)=f(X∩Y), which means {f(a)}=f(X∩Y). Then, there exists some s∈X∩Y such that f(s)=f(a), thus X∩Y is a non-empty set, which implies that a∈Y. But Y has only one element, b, therefore a=b which shows that f is 1-1.

Answer:

high glycemic carb with some protein

Step-by-step explanation:

Food like white bread made from dextrose supplement and chocolate milk that contains some protein for muscle repair.

Due to the spongelike characteristic of the muscle would make it soak up glucose from high glycemic carb.

Answer:

$115.67

Step-by-step explanation:

given that the markdown rate is 53%, that means that the markdown is 53% of the original price, or,

markdown = 53% of $229.99 = 0.53 x 229.99 = $121.89

sale price before tax = Original Price - Markdown

= 229.99 - 121.89

= $108.10

sales tax = 7% of sale price before tax

= 0.07 x 108.10

= $7.57

Final price =  price before tax + tax

= 108.1 + 7.57

= $115.67

Answer:

A 1.44 cm cubed

Step-by-step explanation:

Just multiply all the numbers to get the area of the block

Answer:

A 1.44 cm cubed

Step-by-step explanation:

Final answer:

The equation that gives the total cost of x pounds of dried cherries is y = (10.60/2)x.

Explanation:

Let's create a table to represent the given information:

Pounds of Dried Cherries (x)Total Cost (y)315.90526.50947.70

To find an equation that gives the total cost of x pounds of dried cherries, we need to find a pattern in the data. From the table, we can see that as the pounds of dried cherries increase, the total cost also increases. This suggests a linear relationship between pounds and cost.

Now, let's analyze the changes in cost for each additional pound of dried cherries:

Based on these changes, the cost increased by $10.60 for every 2 additional pounds of dried cherries. Therefore, the equation that gives the total cost y of x pounds of dried cherries is:

y = (10.60/2)x

Answer:

Step-by-step explanation:

total integers=100 (1,2,3,...,98,99,100)

numbers divisible by 4 =25 (4,8,12,...,96,100)

P=25/100=1/4

Answer:

Approx. 1.8 in.²

Step-by-step explanation:

Circumference of a circle (the pizza) = 2πr

Area of a circle = πr²

Set 2πr = 4.71 (because that's the length of bacon around the pizza) and solve for the radius "r". Then plug that "r" into the area equation πr² to find the area. You should get 1.8 square inches if I plugged them in correctly.

Answer:

The exact volume of a sphere is [tex]V=1437cm^3[/tex]

Step-by-step explanation:

Given that the diameter of a sphere is 14cm.

That is d=14

First find the radius of the sphere with diameter

[tex]r=\frac{d}{2}[/tex]

[tex]r=\frac{14}{2}[/tex]

Therefore r=7cm

Now to find the volume of the sphere:

[tex]V=\frac{4}{3}\pi r^3cm^3[/tex]

[tex]V=\frac{4}{3}\frac{22}{7}(7)^3[/tex]  (here[tex]\pi=\frac{22}{7}[/tex] and r=7)

[tex]V=\frac{4}{3}(22)(7)^2[/tex]

[tex]V=\frac{4}{3}(22)(49)[/tex]

[tex]V=\frac{4}{3}(1078)[/tex]

[tex]V=\frac{4312}{3}[/tex]

[tex]V=1437.33cm^3[/tex]

Therefore the volume of the given sphere is [tex]V=1437.33cm^3[/tex]

The exact volume of a sphere is [tex]V=1437cm^3[/tex]

Answer: 68

Step-by-step explanation:

range=47 lowest score = 21 let highest score =x

Range=highest score - lowest score

47 = x - 21

x = 47 + 21

x = 68

Therefore the highest score is 68

The highest score is 68.

Range = Highest Score - Lowest Score

In this case,

the lowest score is 21 and

the range is 47.

So, we can rearrange the formula to solve for the highest score:

Highest Score = Range + Lowest Score

Substituting in the given values:

Highest Score = 47 + 21

Thus, the highest score will be 68.

Answer:

Lack of information

Step-by-step explanation:

I can't find what percent or whatever information about the flavour,so I guess you need to give more information. If you give me more information, I will try to reply in the comments.

Hope this helps!!! ;)

Answer:

  y^2/25 -x^2/4 = 1

Step-by-step explanation:

The equation can be written as ...

  y^2/a^2 -x^2/b^2 = 1

where the vertices are at (0, ±a) and the co-vertices are at (±b, 0). Filling in the given values (a=5, b=2) gives the equation shown above.

Multiply the parenthesis by 6:

-7x+6x-492-2(x+3)+10

Multiply the parenthesis by -2:

-7x+6x-492-2x-6+10

Calculate the sum of similar terms:

-3x-492-6+10

Calculate the sum or difference:

-3x-488

Step-by-step explanation:

Let the small mass be m and position on x axis be y.

A 20 kg sphere is at the origin.

Distance to 20 kg mass = y

A 10 kg sphere is at x = 20 cm

Distance to 10 kg sphere = 20 - y

We have forces between them are equal

We have gravitational force   

                    [tex]F=\frac{GMm}{r^2}[/tex]              

          Where G =  6.67 x 10⁻¹¹ N m²/kg²

                      M = Mass of body 1

                      M = Mass of body 2

                      r = Distance between them

Here we have

            [tex]\frac{G\times 20\times m}{y^2}=\frac{G\times 10\times m}{(20-y)^2}\\\\800-80y+2y^2=y^2\\\\y^2-80y+800=0\\\\y=68.28cm\texttt{ or }y=11.72cm[/tex]

So the small mass should be placed at x = 11.72 cm or x = 68.28 cm

The positions on the x-axis obtained using quadratic equation such that net gravitational force is zero are 68.28 and 11.72 cm respectively.

Recall the force of universal gravitational attraction :

Sphere 1 :

Sphere 2 :

Gravitational force ; sphere 1 :

Gravitational force ; sphere 2 :

Equate (1) and (2)

[tex] \frac{G \times 20 \times m_{2}}{d^{2}} = \frac{G \times 10 \times m_{2}}{(20 - d)^{2}} [/tex]

[tex] 20(20 - d)^{2} = 10 \times d^{2} [tex]

20(400 - 40d + d²) = 10d²

8000 - 800d + 20d² = 10d²

10d² - 800d + 8000 = 0

Divide through by 10

d² - 80d + 800 = 0

Using a quadratic equation solver :

d = 68.28 cm or d = 11.72 cm

The possible positions are 68.28 cm and 11.72 cm

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