Carla deposits $5250 into a bank, which yields a simple interest rate of 0.8% every 3 months. If the interest rate is increased to 1.2%, how much more interest will she receive after 2 years compared to the original interest rate of 0.8%?

Answer:

The percent of increase is 5%

Step-by-step explanation:

Why aren't all solutions to an inequality possible in reality?

(TL;DR at the bottom, but the full explanation is better)

Let's answer this using an example.

The equation 2x + 5 > 10 can represent a lemonade stand's sales. What do each of the numbers represent in a real-life situation?

A solution for this equation would be x = -3:

2x + 5 > 10

2(-3) + 5 > 10

6 + 5 > 10

11 > 10 - True

Another solution is x = 11/3:

2x + 5 > 10

2(11/3) + 5 > 10

(22/3) + 5 > 10

(37/3) > 10

(36/3)+(1/3) > 10

12 and (1/3) > 10

These are solutions to our inequality from a mathematical standpoint but are both implausible in real life.

Assuming that reasonable would mean a full glass, -3 and (11/3) are possible answers, but can't be reasonably sold. -3 glasses of lemonade can't be sold, and neither can (11/3) of a glass of lemonade.

Therefore, these values create a situation where "not all solutions represented by inequation are always possible solutions in reality."

TL;DR:

    Not all solutions are possible because the value that makes the inequation true is not reasonable or feasible under realistic circumstances, such as a fraction value for people or a negative value for possession.

Answer:

14

Step-by-step explanation:

28=Diameter

Radius= D/2

=14

formula used : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex]

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

✔A) A 2-year loan with a 4.75% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.75\%}{1})^{(1)(2)}[/tex]

[tex]\hookrightarrow \sf A = \$10,972.56[/tex]

B) A 3-year loan with a 4.00% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.00\%}{1})^{(1)(3)}[/tex]

[tex]\hookrightarrow \sf A = \$11248.64[/tex]

C) A 4-year loan with a 3.75% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.75\%}{1})^{(1)(4)}[/tex]

[tex]\hookrightarrow \sf A = \$11586.50415[/tex]

D) A 5-year loan with a 3.00% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.00\%}{1})^{(1)(5)}[/tex]

[tex]\hookrightarrow \sf A = \$ 11592.74074[/tex]

Thus loan of 2-year loan with a 4.75% interest which is compounded annually will allow him to pay the least interest of only $972.56.

The least interest is 972.56 dollars. Then he has to select a 2-year loan with a 4.75% interest rate compounded annually.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the formula for the amount will be

[tex]A = P (1 + r) ^t[/tex]

A = Amount

P = Loan amount

r = rate of interest

t = time

The interest is given as

Interest = A - P

Charles needs a $10,000 loan in order to buy a car.

A) A 2-year loan with a 4.75% interest rate compounded annually. Then the amount will be

[tex]\rm A = 10000(1.0475)^2\\\\A = 10972.56[/tex]

Then the interest will be

Interest = 10972.56 - 10000

Interest = 972.56

The amount of interest is $972.56.

B) A 3-year loan with a 4.00% interest rate compounded annually.  Then the amount will be

[tex]\rm A = 10000(1.04)^3\\\\A = 11248.64[/tex]

Then the interest will be

Interest = 11248.64 - 10000

Interest = 1248.64

The amount of interest is $1248.64.

C) A 4-year loan with a 3.75% interest rate compounded annually.  Then the amount will be

[tex]\rm A = 10000(1.0375)^4\\\\A = 11586.50[/tex]

Then the interest will be

Interest = 11586.50 - 10000

Interest = 1586.50

The amount of interest is $1586.50.

D) A 5-year loan with a 3.00% interest rate compounded annually. Then the amount will be

[tex]\rm A = 10000(1.03)^5\\\\A = 11592.74[/tex]

Then the interest will be

Interest = 11592.74 - 10000

Interest = 1592.74

The amount of interest is $1592.74.

More about the compound interest link is given below.

https://brainly.com/question/25857212

Answer:

The 3rd one if I'm not mistaken. Correct me if I'm wrong, I'm so so sorry if it's incorrect

Answer:

Each leg of the right triangle is equal to the radius of the sphere.

Step-by-step explanation:

I took the quiz and it was right

Answer:

A And D

Step-by-step explanation:

THOSE ARE THE CORRECT ANSWER.

Answer:

3units, 4units, 8 units and 12units, 6units, 4units. Aka A and D

Step-by-step explanation:

Answer:

Angle ABD is 16 degrees and Angle DBC is 74 degrees

Step-by-step explanation:

Question 6. x+9+11x-3=90. 12x+6=90 -6 on both sides and 12x=84 divide each side by 12 and x= 7 angle ABD is x+9 so 7 +9= 16. Angle measure of ABD is 16 degrees. Measure of angle DBC is 11x -3 so 11 times 7=77. 77-3= 74. So the measure of angle DBC is 74 degrees and this answer is right because they both add up to be 90 degrees. Hope this helped! :)

Answer:

2. 212264

Step-by-step explanation:

Area of circle: 3.14(r^2)

we need to divide the 520 in half first

520/2 = 260

Now we do the equation!

3.14(260^2)

We get 212264 as our final answer :)

Havea great day!!

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Answer:

Student B

Step-by-step explanation:

Student B

Their wages increase at intervals of $6 each hour.

6*1 = $6

6*2 = $12

6*3 = $18

6*4 = $24

6*5 = $30

6*6 = $36

6*7 = $42

6*8 = $48

This shows a proportional relationship between the wages earned and the number of hours worked. 

Hope this helps!

Answer:

In 254 revolutions, the bicycle will travel [tex]997.85m[/tex].

Circumference :
The circumference of bicycle is given as,
[tex]C = \pi d[/tex]
Where [tex]d[/tex] is diameter of bicycle.
Given that, [tex]d = \frac{5}{4}, \pi = 22/7[/tex]
Substitute values in above equation.
[tex]C = \frac{22}{7} * \frac{5}{4}[/tex]
[tex]C = \frac{110}{28} = 3.93[/tex]
In 254 revolutions of the bicycle wheel is, [tex]C = 254 * 3.93 = 997.85m[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
Learn more about the Circumference of circle here:
brainly.com/question/14283575

Your question was incomplete. Complete question is here:
"A counter recorded 254 revolutions of the bicycle wheel shown below how far did the bicycle travel. Use 22/7 as pi and the diameter of the wheel is 5/4."

Answer:

88mm^2

Sorry for not answering it early I know this answer is probably useless for you now

Step-by-step explanation:

Ok, suppose we were to divide this figure into two parts figure 1 & 2

like this... the picture is goven above

So, we can clearly see that figure 1 is a square as it has equal dimensions

and figure 2 is a rectangle because it should given in ur question but this is the only way to find out the area

So in figure 1 the dimensions are already give that the square is 8mm and on the other hand in figure 2 it is a rectangle, here only length is given - 6mm but width is not given. To find out the width it's simple, since the base of figure 1and2 is 12mm and the base of figure 1 is 8cm we can subtract it to get there rest of the base that is the base of figure 2.

So we get,

Base of figure 2 = Total base - Base of figure 1 = 12mm - 8mm = 4mm

Now since we have the dimensions, we only have to find the area of those two figures and add both areas to get the total are of the whole figure.

Area of figure 1

Area of square = side*side = 8*8 = 64mm^2

Area of figure 2

Area of rectangle = length*breadth = 4*6 = 24mm^2

Total area of the figures

Area of figure 1 + Area of figure 2 = 64mm^2+ 24mm^2 = 88mm^2

Answer:

83

Step-by-step explanation:

X + 52+45=180

X=180-97

So, x= 83


-note sorry for getting the question wrong it is now fixed.

Answer:

83

Step-by-step explanation:

triangles are 180º
45 + 52 = 97
180 - 97 = 83

Answer:

114.9 meter

Step-by-step explanation:

v=(2/3)πr^3

diameter=2r

r=7.6/2

r=3.8

(2/3)π* (3.8)^3

~36.58π meter

if the teacher wants you to use 3.14 as π (like instead of writing the symbol of π), then 36.58*3.14=114.9 meter

Answer:

19) 280 cm³

20) 120 cm³

Step-by-step explanation:

v= l×w×h

19) 7×5×8 = 280

20) 6×5×4 = 120

Answer:

This line has a slope of 0, with the equation being y = -4

Step-by-step explanation:

  Slope can be found with change in y over change in x

[tex]\frac{-4--4}{-2--3} =\frac{-4+4}{-2+3}=\frac{0}{1} =0[/tex]

       Note: We can tell by just looking at the line it will have a slope of 0. A line straight up and down vertically is one with an undefined slope, but a horizontal line has a slope of 0 since there is no incline/decline.

Answer:

30

Step-by-step explanation:

Answer:

its 30

Thats my solving process , As its scalene triangle so use its formula

perimeter of triangle= a+b+c

Step-by-step explanation:

Let the sides lengths of the triangle be a, band c respectively

given ,

a= 8

b= 10

c = 12

To find : perimeter of the triangle = ?

We know ,

Perimeter of triangle = a+b+c

= 8+10+12

= 30 cm²

therefore, the perimeter of the given triangle is 30 cm ² .

Answer:

B

Step-by-step explanation:

This is a reflection over the y-axis. The x value is changing sign while the y value is staying the same. The general rule for a reflection over the y axis is  (x,y) --> (-x,y), and similarly for a reflection over the x axis is (x,y) --> (x,-y). When you reflect a point over an axis, you flip the sign of the opposite value.

Answer:

0.02

use BODMAS

⇒ 0.6 ÷ 30

⇒ (0.6 ÷ 3) ÷ 10

⇒ 0.2 ÷ 10

⇒ 0.02

Let's see

3×10=30

So

Answer:

Step-by-step explanation:

Rule: (x, y) → (-y, -x)

This means that the x, will now become y, and the y will now become x.

U (-7, -4) → (4, 7)

V (1, -4) → (4, -1)

W (-5, -9) → (9, 5)

U' (4, 7)

V' (4, -1)

W' (9, 5)

*View the attached graph*

Hope this helps!

Answer:

x=1

Step-by-step

Step 1:

Simplify x/x2

Dividing exponential expressions :  

1.1    x1 divided by x2 = x(1 - 2) = x(-1) = 1/x1 = 1/

Equation at the end of step 1:

  2    1         1

 (((—+1)-—)-1)-((2•—)-1)  = 0

    x    x         x

STEP 2:Rewriting the whole as an Equivalent Fraction:

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  x  as the denominator :

        1     1 • x

   1 =  —  =  —————

        1       x  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2 - (x)     2 - x

——— = ———  

   x          x  

Equation at the end of step 2:

2    1     (2-x)

 (((—+1)-—)-1)-—————  = 0

    x    x       x  

STEP 3:

Simplify 1/x

Equation at the end of step 3:

2          1           (2 - x)

 (((— +  1) -  —) -  1) -  ———————  = 0

    x          x              x  

STEP4:

Simplify: 2/x

Equation at the end of step 4:

    2          1                 (2 - x)

 (((— +  1) -  —) -  1) -  ———————  = 0

    x          x                      x  

STEP 5:

Rewriting the whole as an Equivalent Fraction :

5.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  x  as the denominator :

        1         1 • x

   1 =  —  =  —————

        1            x  

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

2 + x                x + 2

—————  =  —————

  x                       x  

Equation at the end of step 5:

(x + 2)    1                                (2 - x)

 ((——————— -  —) -  1) -  ———————  = 0

      x       x                                  x  

STEP 6:Adding fractions which have a common denominator :

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x+2) - (1)                            x + 1

———————————  =  —————

     x                                       x

Equation at the end of step 6:

  (x + 1)                           (2 - x)

 (——————— -  1) -  ———————  = 0

     x                               x

STEP 7:

Rewriting the whole as an Equivalent Fraction :

7.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  x  as the denominator :

        1     1 • x

   1 =  —  =  —————

        1       x  

Adding fractions that have a common denominator :

7.2       Adding up the two equivalent fractions

(x+1) - (x)                           1

———————————  =  —

     x                                   x

Equation at the end of step 7:

 1       (2 - x)

 — -  ———————  = 0

 x         x

STEP 8:

Adding fractions which have a common denominator :

8.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1 - ((2-x))                              x - 1

———————————  =  —————

     x                                     x    

Equation at the end of step 8:

 x - 1

 —————  = 0

   x  

STEP 9:

When a fraction equals zero :

9.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x-1

 ——— • x = 0 • x

  x

Now, on the left hand side, the  x  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-1  = 0

.2      Solve  :    x-1 = 0

Add  1  to both sides of the equation :

                     x = 1

One solution was found :

x = 1

Answer:

y≤3

Step-by-step explanation:

5y+4≤22−y

Step 1: Simplify both sides of the inequality.

5y+4≤−y+22

Step 2: Add y to both sides.

5y+4+y≤−y+22+y

6y+4≤22

Step 3: Subtract 4 from both sides.

6y+4−4≤22−4

6y≤18

Step 4: Divide both sides by 6.

6y/6≤18/6

y≤3

Hey there!

Let's solve your inequality step-by-step.

[tex]\fbox{5y+4≤22−y}[/tex]

Step 1: Simplify both sides of the inequality.

[tex]\fbox{5y+4≤−y+22}[/tex]

Step 2: Add y to both sides.

[tex]\fbox{5y+4+y≤−y+22+y}[/tex]

[tex]\fbox{6y+4≤22}[/tex]

Step 3: Subtract 4 from both sides.

[tex]\fbox{6y+4−4≤22−4}[/tex]

[tex]\fbox{6y≤18}[/tex]

Step 4: Divide both sides by 6.

[tex]\fbox{6y/6 ≤ 18/6}[/tex]

[tex]\fbox{y≤3}[/tex]

Answer:

[tex]\fbox{y≤3}[/tex]

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Answer:

30

24 : 28 would equal 6 : 7

[tex]6/13[/tex] x 65 = 30

Use the proportion of the bracelets

The no. of bracelets are expected to sold are 30 pieces.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given that, A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry, which is 6 : 7 so, for every 6 pieces of bracelets 7 pieces of other types of jewelry are sold.

∴ No. of pieces of bracelets expected to sold are,

= 6/(6 + 7)×65.

= (6/13)×65.

= 6×5.

= 30 pieces.

learn more about ratios here ;

https://brainly.com/question/13419413

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Answer:

-3.5

Step-by-step explanation:

6x + 16 = 2x + 2

4x = -14

x = -3.5

Step-by-step explanation:

3 and 7 are equal because they are corresponding angles

6x+16=2x+2

6x-2x=2-16

4x= -14

x= -3.5

Answer:

1/3

Step-by-step explanation:

add all of the totals including the missing pair

we now have 24

7+1 is 8

24 minus 8 is 16

24 can be split into 2 groups of 8

and we have 2/3 left. which makes our solution 1/3

Answer: 60

Step-by-step explanation:

the answer is fx=60

Step-by-step explanation:

They have already done the math for you, you just need to draw a line with the length of 3 units, so it would look like this: