Your friend invested $1000 in an account that pays 6% annual interest. How much interest will your friend have after her college graduation in 4 years?

c. Is the solution of the equation the final answer to the problem?

Answers

Answer 1

The solution of the equation is the final answer to the problem , $ 240 .

Calculating Simple Interest :

Simple Interest = ( P * R * N ) / 100

where P = Principal Amount

              R  = Rate of Interest

         and N = No. of years for which investment is done

According to question :

P = 1000

R = 6

N = 4

Hence ,

Simple Interest = ( 1000 * 6 * 4 ) / 100

                          = 240

Therefore , after college graduation in 4 years the interest received would be $240 .

The solution of the equation is the final answer to the problem .

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Related Questions

about how much is a hippopotamus eat in a year with 365 days * 88 explain how you found your estimate is the estimate you found in Part B and overestimate or underestimate explain.​

Answers

Answer:

365 * 88 (^7) =  B=10

A recipe for oatmeal cookies calls for 2 cups of flour and 2.5 cups of oats. For each cup of flour, he must also add 1.5 teaspoons of baking powder. If a baker uses 15 cups of oats how many teaspoons of baking powder must he use?

Answers

He will use 18 teaspoons of baking powder for the oatmeal recipe

How to calculate the amount of baking flour ?

A recipe requires 2 cups of flour and 2.5 cups of oats

For each cup he must add 1.5 teaspoons of baking powder

He uses 15 cups of oats

Each recipe uses 2 cups of flour, the teaspoons of baking powder used in one recipe is

1.5 × 2 = 3

2.5 cups of oats is used for one recipe, he uses 15 cups of oats, this means that the number of recipes is 6 (15/2.5)

Since the number of recipes is 6 and 3 teaspoon of baking powder is used for one recipe, then the number of teaspoons used is

= 6 × 3

= 18

Hence he used 18 teaspoons of baking powder

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In the figure below, j Il n. Find the values of y and x.

Answers

Answer:

y = 105

x = 31

Step-by-step explanation:

We have y and 75 as consecutive interior angles.
(Consecutive interior angles are are found between the two parallel lines and on the same side of the transversal)

Sum of two consecutive interior angles = 180°

so we have y + 75 = 180
y = 180-75 = 105

So y = 105

y and (3x+12) are opposite angles and are equal
So 3x+12 = y
3x + 12 = 105
3x = 105-12 = 93
x = 93/3 = 31

So x = 31

find R=x^2/y when
y=3.8x10^5
x=5.9x10^4

Answers

The value of the expression R = x^2/y when y = 3.8 x 10^5 and x = 5.9 x 10^4 is 9.2 x 10^3

How to evaluate the expression?

The expression is given as

R = x^2/y

Where

y = 3.8 x 10^5

x = 5.9 x 10^4

Substitute y = 3.8 x 10^5 and x = 5.9 x 10^4 in the equation R = x^2/y

So, we have

R = (5.9 x 10^4)^2/3.8 x 10^5

Evaluate the exponent

So, we have

R = 34.81 x 10^8/3.8 x 10^5

Evaluate the quotient

So, we have

R = 9.16052631579 x 10^3

Approximate the above expression

So, we have

R = 9.2 x 10^3

Hence, the value of the expression R = x^2/y when y = 3.8 x 10^5 and x = 5.9 x 10^4 is 9.2 x 10^3

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Find the domain and the range of each function.
y=3 log x

Answers

The domain of the function is (0,∞) , {x|x>0}

and the range of the function is (−∞,∞),  {y|y ∈ R}

given the function is y = 3 log x

Set the argument in  log x greater than 0 to find where the expression is defined.

x > 0

The domain is all values of x that make the expression defined.

Interval Notation:

(0,∞)

Set-Builder Notation:

{x|x>0}

The range is the set of all valid y values. Use the graph to find the range.

Interval Notation:

(−∞,∞)

Set-Builder Notation:

{y|y∈R}

Determine the domain and range.

Domain: (0,∞) , {x|x>0}

Range :  (−∞,∞),  {y|y ∈ R}

Hence we get the required domain and range of the given function.

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The table below shows the percentage of the U.S. labor force in unions for selected years between 1955 and 2005 .
Year
1955
1960
1965
1970
1975
1980
1985
1990
1995
2000
2005
%
33.2
31.4
28.4
27.3
25.5
21.9
18.0
16.1
14.9
13.5
12.5
b. Make a scatter plot of the data. Which kind of polynomial model seems to be most appropriate?
Error while snipping

Answers

Answer: 1955 and 2005 .

Year

1955

1960

1965

1970

1975

1980

1985

1990

1995

see if i help u now ?

Step-by-step explanation:


Simplify each expression. 16¹/₃. 4t/₃

Answers

The simplified form is [tex]4 ^{\frac{2+t}{3} }[/tex].

Simplify is to make something less complicated or much less cluttered. An instance of simplification is when you provide an explanation for a difficult math idea in truly smooth phrases for a kid to understand. An example of simplifying is whilst you chop out a whole lot of the activities that were making you busy and careworn. To turn out to be less difficult.

The phrase simplifies the approach to make something simpler to do or understand. So, by lowering or simplifying the fractions approach we make the fraction as simple as viable. We do this by dividing the numerator and the denominator via the biggest range that may divide into each number precisely.

Converting mixed numbers to an improper fraction,

[tex]16^{1/3} . 4^{t/3} \\4^{2/3} .4^{t/3} \\4^{\frac{2+t}{3} }[/tex]

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Rahul wants to ride his bicycle 22 miles this week. He has already ridden 10 miles. If
he rides for 4 more days, what is the average number of miles he would have to ride
each day to meet his goal?

Answers

Answer:

Rahul needs to ride 3 miles a day to meet his target.

==============================

Given

Target distance = 22 miles,Distance already ridden = 10 miles,Time to travel the rest of the distance = 4 days,Average rate for 4 days = x miles.

We have the following linear equation to represent given situation:

22 = 10 + 4x

Solve it for x to get the average number of miles:

4x = 22 - 104x = 12x = 12/4x = 3

In linear equation, He ride 3 miles each day.

Variable: x = Constant distance distance traveled each day.

Equation : 10+4x= 22

What is a formula for linear equations?

Y = mx + b, where x and y are the variables, m is the slope of the line, and b is the y-intercept, is a straightforward way to write the linear equation formula. Slopes provide information about a line's direction and steepness.

Total distance needs to travel = 22 miles

Distance already traveled = 10 miles

He will ride bicycle for 4  more days.

Let x = Constant distance distance traveled each day.

Total distance = 10+4x

10+4x = 22

4x = 22 - 10

4x = 12

  x = 3

Hence, he rode 3 miles each day.

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Which expression is equivalent to (5x−5y3)−2? −25x10y6 negative quantity 25 times x raised to the tenth power end quantity over y raised to the sixth power x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity 1 over quantity 25 times x raised to the tenth power times y raised to the sixth power end quantity

Answers

Using the rules of exponents, the expression (5 x^−5 y^3)^−2 is equivalent to x^10 / (25 y^6) or "x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity".

Given: (5 x^−5 y^3)^−2

1. Distribute the power of two using the Power of a Power Rule. "When a power is raised to another power, multiply the exponents."

5^−2 x^(−5)(−2) y^(3)(−2) =  5^−2 x^10 y^-6

2. Use Negative Rule of Exponent. "A number with a negative exponent should be put to the denominator, and vice versa."

5^−2 x^10 y^-6 = (x^10) / (5^2 y^6)

3. Simplify the constant term.

(x^10) / (5^2 y^6) = x^10 / 25 y^6

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2. Matthew earns $35.00 on Saturday for mowing lawns and deposits it into his
savings account. He then withdraws $27.00 to buy a video game.
What is the overall increase or decrease in Matthew's savings account balance?
A. - $9.00
B. + $6.00
C. + $8.00
D. - $7.00

Answers

Step-by-step explanation:

Technically none of these are the right answer. The decrease in his account would be -27.

But out of the given choices, I'll go with option C because he has $8 left in his savings

Which multiple choice response is true?
O Decreasing on (-*, 0); increasing on (0, *)
O Increasing on (-x, ∞)
O , Increasing on (-*, 0); decreasing on (0, *)
O Decreasing on (-∞, ∞)

Answers

True response is that the function represented by the graph is Increasing on (-∞, 0) and decreasing on (0, ∞)

A function is said to be increasing in its domains if the value of its range is increasing in that domain.

Similarly, if the function is decreasing in its domain then it's range must be decreasing with the domain.

When the value of x(domain) is increasing on the left side. The value of y(range) is increasing constantly. But when the value of x increases further after 0, then the value of y is decreasing constantly.

So we can say, the following function represented on the graph is increasing in the interval of ( -∞,0) and decreasing in (0,∞).

As per the situation described in the graph the option third which say increasing on (×,0) and decreasing on (0,×).

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Let f(x)=x-4 and g(x)=x²-16 . Perform each function operation and then find the domain. g(x)-f(x)

Answers

The domain for g (x) - f (x) = x² - x - 12 will be all real numbers when f (x) = x - 4 and g (x) = x² - 16.

We are given the two functions as:

f (x) = x - 4

g (x) = x² - 16

Now, first, we need to subtract f (x) from g (x).

So, we get that:

g (x) - f (x) = x² - 16 - (x - 4)

g (x) - f (x) = x² - 16 - x + 4

g (x) - f (x) = x² - x - 12

Now, the domain of the function will be all real numbers as it will be defined for all the real numbers.

Therefore, we get that the domain for g (x) - f (x) = x² - x - 12 will be all real numbers when f (x) = x - 4 and g (x) = x² - 16.

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complete the input-output table for the function. then find the domain and range of the function represented by the table.

Answers

The Domain of set is {0, 2, 4, 6}

The Range of the set is {3, 2, 1, 0}

What is Range of set?

The range is the set of possible output values, which are shown on the y-axis.

The function is given as;

y = -1/2 x + 3

Now, The values of x are given as;

x = 0, 2, 4, 6

Hence, The value of y are find as;

When x = 0

y = -1/2 * 0 + 3 = 3

When x = 2

y = -1/2 * 2 + 3

y = 2

When x = 4

y = -1/2 * 4 + 3

y = 1

When x = 6

y = -1/2 * 6 + 3

y = 0

Hence, All values of y are {3, 2, 1, 0}

So, The Domain of set is {0, 2, 4, 6}

The Range of the set is {3, 2, 1, 0}

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Sophia welcomes the fall with some cycling and walking fun! She cycles for 2 1/5 miles along a cornfield, and then after the break, she walks 3/4 of the distance she cycled. How many miles does she walk?
ANSWER NOW IM TIMED
Group of answer choices


A. 1 13/20

B. 59/20

C. 2.95

D. 2 19/20

Answers

The answer is A. 1 13/20

I need help with this!!

Answers

Answer:

m<1=159 degree

m<2=21 degree

m<4=21 degree

Order the numbers from least to greatest.​

Answers

ANSWER: 22/7 , sqrt of 32/2 , sqrt of 11, 3.3.

EXPLANATION: Sqrt of 11 = 3.31. Sqrt of 32/3 = 3.27. 22/7 = 3.14.

i need help with matrix equations.

Answers

Answer:


[tex]\left[\begin{array}{ccc}-48&-60\\44&30\end{array}\right][/tex]

Step-by-step explanation:

0.5 X + 3A = B implies

X = 2(B-3A)

3A simply means multiplying each cell by 3

[tex]3A = \left[\begin{array}{ccc}12&24\\-33&-3\end{array}\right][/tex]

B-3A is a corresponding cell by cell subtraction

[tex]B-3A = \left[\begin{array}{ccc}-24&-30\\22&15\end{array}\right][/tex]

Finally multiply that by 2, result is at the top.


Carlos has 20 coins in his pocket. He has only quarters and dimes. The
number of quarters is 1 less than half the number of dimes. How many dimes
and quarters does Carlos have?

Answers

By resolution of systems of linear equations, Carlos has 6 quarters and 14 dimes in his pocket.

How many quarters and dimes does Carlos have in his pocket?

A dime is equivalent to 0.10 dollars and a quarter is equivalent to 0.05 dollars. In accordance with the statement, Carlos has 20 coins between dimes and quarters, whose algebraic equations are described below:

q + d = 20           (1)

q = 0.5 · d - 1      (2)

Where:

q - Number of quarters.d - Number of dimes.

By (2) in (1):

(0.5 · d - 1) + d = 20

1.5 · d - 1 = 20

1.5 · d = 21

d = 14

By (2):

q = 0.5 · d - 1

q = 0.5 · 14 - 1

q = 7 - 1

q = 6

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Simplify each expression.
ln e²/2

Answers

 [tex]\frac{ln(e^2)}{2}[/tex] = 1, by properties of logarithm.

What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Given: [tex]\frac{ln(e^2)}{2}[/tex]

Now,

By property of logarithm, [tex]log_b(a)^m=m(log_b(a))[/tex],

=> [tex]\frac{ln(e^2)}{2}[/tex] = [tex]\frac{2 (ln(e))}{2}[/tex]

=>  [tex]\frac{ln(e^2)}{2}[/tex] = ln (e)

AS we know that ln (e) = 1 (by properties of logarithm),

=>  [tex]\frac{ln(e^2)}{2}[/tex] = 1

Hence,  [tex]\frac{ln(e^2)}{2}[/tex] = 1, by properties of logarithm.

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In which direction does the electric field point at a position directly east of a
negative charge?

Answers

The electric field at the point directly to the east of the negatively charged point is directed towards the charge, that is, west of the point.

The correct option is D.

Briefing:

A negative point charge has an electric field focused at it. Thus, the electric field at the point directly to the east of the negatively charged point is directed towards the charge, that is, west of the point.

Electric field describe as:

The electric field is defined as that of the electric force per unit of charge. The direction of the field is assumed to represent the direction of the force it would impose on a positive test charge. The electric field radiates outward from the a positive charge and inward from a negative point charge.

What are the characteristics of an electric field?

The field lines never cross. The field lines lie parallel to the charge's surface. The quantity of charge and indeed the number of field lines are proportionate.

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I understand that the question you are looking for is:

What is the direction of the electric field directly to the east of an isolated negative point charge?

A. north

B. south

C. east

D. West

Colin has three rabbits called Fluffy, Mr Flopsy and Hoppy.
Fluffy's weight is 42% of Mr Flopsy's weight and 56% of Hoppy's weight.
If Mr Flopsy weighs 2500 g, how much does Hoppy weigh?

Answers

In linear equation, 1875  does Hoppy weight .

What are instances of linear equations?

A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.

A = 42b = 56c

a : b : c  = 42 : 100 : 75

total Mr Flopsy weights = 2500

then  Hoppy weight =  75 = 2400/100 * 75

                                  = 1875

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ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 15 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!

Answers

Answer:

y = - x + 8

Step-by-step explanation:

y = - x + 8

The Leapin Lizards Center sells entrance tickets for $10.00 per child on Saturday nights. At capacity, the center can only hold 50 children during the 5:00-6:00pm time slot. The function L(c)=10c represents the amount of money Leapin Lizards makes on Saturday nights during the time slot.

Which statement best represents the range of the function in this context?

Answers

The statement that best represents the range of the function in this context is 0 <= L(c) <= 500

What is the range of a function?

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

How to determine which statement best represents the range of the function in this context?

The function is given as

L(c) = 10c

From the question, we understand that:

Maximum number of children = 50

This means that

c =50

So, we have

L(50) = 10 * 50

Evaluate

L(50) = 500

Hence, the statement that best represents the range of the function in this context is 0 <= L(c) <= 500

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who can help please i need this for my maths score

Answers

Answer:

196 degrees, reflex.

Step-by-step explanation:

The angles fit around a point, therefore, they add up to 360 degrees.
Let [tex]x[/tex] be the size of the third angle.

[tex]x + 113 + 51 = 360 \\x + 164 = 360 \text{ / Subtract 164 on both sides} \\x + 164 - 164 = 360 - 164} \\x = 196[/tex]

The angle is larger than 180 degrees and smaller than 360 degrees, therefore, its a reflex angle.

Answer:

196 degrees, reflex.

Step-by-step explanation:

nth term for 6,21,46,81
can someone explain how to answer this type of quadratic sequence step by step please

Answers

A sequence of events or things is a number of events or things that come one after another in a particular order. The nth term of

for 6,21,46,81 is 5n²+1.

What is sequence?

A sequence of events or things is a number of events or things that come one after another in a particular order.

Write down the nth term of this quadratic number sequence.

6,21,46,81...

number sequence has nth term = an² + bn + c.

Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence =6,21,46,81

1st difference = 15,25,35

2nd difference = 10,10

If you divide the second difference by 2, you will get the value of a.

10/2=5

So the first term of the nth term is 5n².

ext, substitute the number 1 to 4 into 5n².

n=1,2,3,4

5n²=5,20,45,80

Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

5n²+1=6,21,46,81.

Therefore nth term for 6,21,46,81 is 5n²+1.

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Mitchell owes his mom $18. He's been helping
around the house a lot, so his mom decided to
forgive $12 of his debt. How much does he owe
now?

Answers

Answer:

Mitchell owes his mom =$18. sum of money his mom reduced =$12.

Step-by-step explanation:

SO IT 6 DOLLARS

Answer: $6

Explanation: $18-$12=$6

Hope this helps!!! have a nice day!

For which values of A, B, and C will Ax + By = C be a horizontal line through the point (−4, 2)?

Answers

The values of A, B, and C will Ax + By = C be a horizontal line through the point (−4, 2) are ( 0, B, 2B)

In the above question, a horizontal line is given whose equation is Ax + By = C which passes through a point (-4, 2)

We can make two observations from the given information of horizontal line passes through point (-4,2) which are as follows:

1. The slope of a horizontal line will be parallel to the x-axis whose slope will be, m=0.

2. The given point and the line meet at (-4,2).

Now as the point (-4,2) lie on the line it will satisfy the equation of the horizontal line

We get,

A(-4) + B(2) = C

-4A + 2B = C ..... eqn 1

Also, we can write the given equation in the slope-intercept form which is

y = mx + c

By = -Ax + C

y = [tex]\frac{-A}{C}[/tex]x + [tex]\frac{C}{B}[/tex]

So, we can imply that m =  [tex]\frac{-A}{C}[/tex] = 0

A = 0

Putting this in eqn 1 we get,

-4A + 2B = C

0 + 2B = C

C = 2B

Hence, we conclude that values of A, B, and C will Ax + By = C be a horizontal line through the point (−4, 2) are ( 0, B, 2B)

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sue wants 1 2 of a rectangular pan of cornbread. dena wants 1 3 of the same pan of cornbread. how should you cut the cornbread so that each girl gets the size portion she wants? solve this problem any way you choose.

Answers

Finding LCM for the problem, you should cut the cornbread into 6 parts, Sue will get 3 parts and Dena will get 2 parts.

LCM is referred to as the least common multiple for a set of numbers that can be divided by the same whole number as a result.

At first, we have to find LCM of 2 and 3, which is the denominator of 1/2 and 1/3, and its 6 and we will cut it into 6 pieces.

So, Sue will get 3 pieces from the cornbread ( 3/6 = 1/2 ) and Dena will get 2 pieces from the cornbread ( 2/6 = 1/3 ).

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f(x)=b x and g(x)=logbx are inverse functions. Explain why each of the following is true.
c. The inverse of f₁(x)=b x-h is not equivalent to a vertical stretch or compression of g .

Answers

The inverse of f₁(x)=b^(x-h) is not equal to a vertical stretch or compression of g: TRUE

What accurately do we mean by Logarithmic Functions?The logarithmic function is the inverse of the exponential function.A logarithm to the base b is the power to which b must be increased in order to obtain a specific number.For example, log28 is the power to which 2 must be raised to generate eight. Clearly, 23 = 8, so log28=3.

So,

Given inverse function: f₁(x)=b^(x-h)

First, find out the inverse of this function.

So, let f₁(x) = yThen, y=b^(x-h)

Switch the variables x & y as follows;

x=b^(y-h)

Solve for y as shown below and take logarithm both sides:

log(x) = (y-h)log(b)y=h+ log(x)/log(b)

So,

f₁^(-1)(x)= h+log(x)/log(b)f₁^(-1)(x)= h+logb(x)f₁^(-1) (x)= g(x)+h

From the first equation we get the inverse of as f₁ follows:

f₁^(-1) (x)= g(x)+h

Therefore, the statement "the inverse of f₁(x)=b^(x-h) is not equal to a vertical stretch or compression of g" is TRUE.

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Find the circumference and area of a circle with radius 7 cm. Express your answer in terms of π.

6π cm; 36π cm2
14π cm; 49π cm2
14π cm; 81π cm2
7π cm; 49π cm2

Answers

Answer:

The fourth option

Step-by-step explanation:

Formula to find the area of a circle is [tex]\pi r^{2}[/tex]

[tex]\pi 7^2[/tex]

[tex]49\pi[/tex]

Other Questions
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