Write an inequality in slope intercept form from the linear inequality graphed below.

The principal amount invested at the rate of 6% for 3 years, then the investment results in $717.38.

Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.

As per the given information in the question,

Principle, P = $600

Rate, r = 6%

Time, t = 3 years.

Compound quarterly, r = 6/4

t = 4 × 3 = 12

Use the formula,

[tex]A = P(1+\frac{r}{100} )^t[/tex]

A = 600(1 + 6/4 × 100)¹²

A = 600 × (203/200)¹²

A = $717.38

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The equation that could be used to determine x, the number of purses Paula must sell to pay for the new equipment is;

A. 5.00x - 2.25x = 5000

We are told the materials costs $2.25 per purse.

She sells the materials for $5 each.

If the number of materials she purchased was x, it means that;

Selling price - Cost price = 5.00x - 2.25x

Now, we are told that she wants to invest $5000 for some new equipment. This means that she must realize at least $5000 in profit from the sales she is making of the materials.

Since the formula for profit is;

Profit = Selling Price - Cost Price

Then, we will have;

5.00x - 2.25x = 5000

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Answer:  5.00x - 2.25x = 5000

Step-by-step explanation:

Answer: -14

Step-by-step explanation:

−110+96

Add −110 and 96 to get −14.

−14

Answer: -14

Step-by-step explanation:

In this case, it's best you bring out the negative

- (110 - 96)

- (14)

= -14

equation and graph attached

Answer:

1-5+171

Step-by-step explanation:

The ending balance after 3 years is $1508.34

What is compound interest?

The interest that is paid on both the initial principal and the accumulated past interest is known as compound interest.

The compound amount and compound interest are calculated by:

  Compound amount,   [tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

  Compound interest, [tex]I = A - P[/tex]

where, P is the principal amount

           r is the rate of interest(in decimal)

           n is the number of  times the interest is compounded annually

           t is the time.

Given, Principal amount, P = $1400

           rate of interest, r = 2.5% = 0.025

           n = 2 (compounded semi-annually)

           t = 3 years

Then, the compound amount is calculated by:

                 [tex]A=1400(1+\frac{0.025}{2} )^{2*3}\\[/tex]

          or,       [tex]A=1400(1+0.0125 )^{6}\\[/tex]

          or,       [tex]A=1400(1.0125 )^{6}\\[/tex]

          or,       [tex]A=1508.34[/tex]

Therefore, the ending balance is $1508.34

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At the end of 6 months she will have $410 when calculated using simple interest.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Main Body:

Principle =$400

Rate = 5%

Time = 6 months = 1/2 years

Simple interest = P*R*T/100

S.I. = 400*5*(1/2)/100

S.I. = 10

Hence total amount is 400+ 10= $410.

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The total number of tongue depressors and Band-Aids are 56 and 128 respectively.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given that, a medic's bag contains individually wrapped tongue depressors (each costing 4 cents) and Band-Aids (each costing 8 cents). If the materials are worth $12.48 and there are 184 individual packages in total,

Let the number of wrapped tongue depressors be w and that of Band-Aids be b,

Therefore,

w+b= 184

0.04w+0.08b = 12.48

w+2b = 312

On solving the equation, by elimination method, we get,

b = 128

Therefore, w+128 = 184

w = 56

Hence, the total number of tongue depressors and Band-Aids are 56 and 128 respectively.

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Answer:

BGIA

Step-by-step explanation:

B = 0,4

G =-4,3

I = 4,0

A = 0,1

Answer:

so the answer would be a protozoa

Step-by-step explanation:

.

The resulting value of the the expression 6769 x 925 by first rounding each number so that it has only 1 nonzero digit is 63,000

Round off

Round off refers a number is made simpler by keeping its value intact but closer to the next number. And it is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

Given,

Here we need to estimate  6769 x 925 by first rounding each number so that it has only 1 nonzero digit.

Here we have to take individual terms to round off then we get,

By rounding 6799 so that it has only one non-zero digit is rounding it to nearest thousand.

6769 rounds to nearest thousand as 7000 as hundreds digit 7 > 5.

Similarly, by rounding 925 so that it has only one non-zero digit is rounding it to nearest hundred.

925 rounds to nearest hundred as 900 as tens digit 2 < 5.

Now, the estimated value after rounding each number so that it has only one non-zero digit is

=> 7000 x 900

=> 63000.

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Answer:

Step-by-step explanation

Answer:

6 students

Step-by-step explanation:

[tex]\frac{1}{5} = \frac{x}{30}[/tex]
[tex]30 = 5x[/tex]
[tex]6=x[/tex]

Answer:

$51,750

Step-by-step explanation: We are going to make x = 3 and we will use the  i=prt equation meaning

Step 1: (45,000)(0.05)(3)= 6750

Step 2: 45,000+ 6750= 51,750

Solution: $ 51,750

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$12000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (12000)(0.04)(3) \implies I = 1440[/tex]

Answer:

r = -8.6

Step-by-step explanation:

ooooo IXL, one of my fav programs from my school days

Anyway

Multiply by -3 to get rid of that awful fraction

[tex]-3*2.2=\frac{r+2}{-3} *-3[/tex]

Solve that:

[tex]-6.6=r+2\\aka: r+2=-6.6[/tex]

Subtract 2 from both sides to isolate the r variable:

[tex]r=-8.6[/tex]

And.... We have our answer!

r = -8.6

The value of x in the rhombus is 24 units.

According to the question,

We have the following information:

LM = 2x - 9 and KN = x + 15 in rhombus KLMN.

Now, we know that in a rhombus opposite sides are equal. In this case, LM and KN are opposite sides.

So, we have the following expression:

2x-9 = x+15

Adding 9 to both sides of the equation:

2x = x+15+9

2x = x+24

Subtracting x from both sides of the equation:

2x-x = 24

x = 24

Hence, the value of x for the given rhombus is 24 units.

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The Greatest Common Factor is [tex]b^{2}[/tex] Option B

The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers

Find the common factors of each term in order to find the greatest common factor (GCF).

The Prime Factors of:

[tex]b^{5}[/tex] = [tex]b^{5}[/tex]

2[tex]b^{4}[/tex] = 2[tex]b^{4}[/tex]

[tex]3b^{3}[/tex] = [tex]3b^{3}[/tex]

[tex]b^{2}[/tex] = [tex]b^{2}[/tex]

From the common factors, the greatest common factors is [tex]b^{2}[/tex]

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Answer:

can we get a picture

Step-by-step explanation:

The  simple or compound interest will be

a. $120

b. $12,000

c. $15,000

d. $18,000

e. Option B is better as it is giving us more interest.

Formula of total simple interest is

SI = (P * R * T) /100  where

P = initial principal balance

r = annual interest rate

t = time (in years)

Formula of compound interest is

C.I.= P × [tex](1 + r/n)^{nt}[/tex] - P  where

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

a. By applying the formula given above we will get

SI = (3000 * 0.4 * 10) / 100

SI = $120

b. Formula to find total value is P * R * T. By applying this we will get

I = 3000 * 0.4 * 10

I = $12,000

c.  By putting values in the formula we will get

CI = 3000 * [tex](1 + 0.2)^{10}[/tex] - 3000

CI = 18000 - 3000

CI = $15,000

d. formula to find total compound value is P * [tex](1 + r/n)^{nt}[/tex]. By applying this in the formula we get

A = 3000 [tex]( 1 + 0.2 )^{10}[/tex]

A = $18,000

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The distance between the line containing points (4, –1) and (4, 9) and point p (1,6) is of:

3 units.

The standard equation of a line is given by the rule presented as follows:

ax + by + c = 0.

The coordinates of the points which we want to find the distance from the line are given as follows:

(x0,y0).

Then the shortest distance is given by the equation presented as follows:

D = |a(x0) + b(y0) + c|/sqrt(a²+b²).

The two points of the line are given as follows:

(4, –1) and (4, 9).

Since the x-coordinate is constant, the line has a slope of infinite, meaning that it is a vertical line defined as follows:

x = 4.

x - 4 = 0.

The point p has these following coordinates:

p(1,6).

Hence the distance between the point and the line is:

D = |a(x0) + b(y0) + c|/sqrt(a²+b²).

D = |1(1) + 0(6) - 4|/sqrt(1² + 0²).

D = |-3|

D = 3 units.

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Answer:

Doesn't make a lot of sense. Can you be more specific.

Step-by-step explanation:

The Creditworthiness is how a lender determines that you will default on your debt obligations, or how worthy you are to receive new credit

Credit reporting companies, also known as credit bureaus or consumer reporting agencies, are companies that compile and sell credit reports.

Given are three credit reporting agencies.

Creditworthiness is how a lender determines that you will default on your debt obligations, or how worthy you are to receive new credit. Your creditworthiness is what creditors look at before they approve any new credit to you. The 3 C's of credit worthiness are Character, Capacity and Capital. Creditworthiness is determined by several factors including your repayment history and credit score.

Therefore, the Creditworthiness is how a lender determines that you will default on your debt obligations, or how worthy you are to receive new credit.

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Kurt spent a total amount of $22.68 a month on movie streaming services.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, or operations such as multiplication and division.

These operations are used from the unit rates, as when we have an amount over some time, then the amount per unit of time is the total amount divided by the total time.

We have been given the important parameters are;

The total amount = is $96.39.

The time is a mixed number, 4 and 1/4 months, hence it will be 4.25 months,

Therefore, his monthly spending is given by the unit rate as;

96.39/4.25 = $22.68 a month.

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Answer:

16

Step-by-step explanation:

(8+2) + (6 − 4) × 3

= 10+6

=16

Answer:

Step-by-step explanation:

Given:

2[tex]x^{3}[/tex]+7[tex]x^{2}[/tex]+x-10

factor it

I used MatLab   roots(x)  to find these so I kinda cheated :P

-2.5,  -2 ,  1

so we know  -2 is a factor and,  then

x+2=0    is a factor

so the "x+2"  answer C)

The statement which must be true given the premise that; T is the midpoint of RS and V lies between R and T is; Choice A; RV + VT = TS.

It follows from the task content that the answer choice which represents a true statement regarding the given description be identified.

Since it is given that T is the midpoint of RS, it follows that;

RT = TS.

Also, it is given that point V lies between R and T; it therefore obviously follows that the equation which is true about RV and VT is;

RV + VT = RT.

Therefore, since segments RT and TS are equal;

It follows from the substitution property of equality that;

RV + VT = TS.

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