If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1 2 % annual interest to ensure that the interest he receives each year is 4 1 2 % of the total amount invested?

Answer:

1. 7x + 2 3/5

2. 2x-6.3

3. 27t + 36b

4. 3.5a - 9.1p

5. 8(x+7)

6. 3(x+19)

7.  y= -8.9

8.  n = -18

Step-by-step explanation:

1. combine like terms

2. Keep change change then combine like terms

3. distribute

4. distribute

5. have 8 in common

6. have 3 in common

7. subtract 1.6 from -7.3

8. multiply both sides by -2/3

Step-by-step explanation:

the altitude makes a right angle at hypotenuse

cd^2+ ad^2 = ac^2

36+ (h/5)^2 = ac^2

ad/ab = 1/5; ad/h = 1/5; ad=h/5

similarly

bd^2+cd^2 = bc^2

(4/5)^2+ 36 = bc^2

ac^2+bc^2 = ab^2

36+h^2/25+ 16/25h^2+36 = h^2

h= 15

bd/ab = 4/5

bd= .8*15=12

Answer:

Do you understand?

Step-by-step explanation:

you gained 23 (14+9)

and lost 7 yards(23-7=16)

so you will still have gained 16yds in total

16 yards was the overall gain.

Answer:

See answer below

Step-by-step explanation:

[tex]V = \frac{4}{3} \pi r^3[/tex]               2km = radius

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

[tex]V = \frac{4}{3}\pi (8)[/tex]

[tex]V = \frac{4}{3}(8)\pi[/tex]

[tex]V =\frac{32}{3}\pi[/tex]     [tex]\pi =3.14[/tex]

[tex]V = \frac{32}{3}(3.14)[/tex]

[tex]V = 33.493[/tex]

V≈ 33.49        

Using π on the calculator

[tex]V = \frac{32}{3} \pi[/tex]

[tex]V = 33.510[/tex]

V ≈ 33.51

Using the normal distribution, it is found that 59.09% of students scored above 75 points.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The proportion of students who scored above 75 points is 1 subtracted by the p-value of Z when X = 75, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75 - 76.4}{6.1}[/tex]

[tex]Z = -0.23[/tex]

[tex]Z = -0.23[/tex] has a p-value of 0.4091.

1 - 0.4091 = 0.5909

0.5909 = 59.09% of students scored above 75 points.

You can learn more about the normal distribution at https://brainly.com/question/24663213

Answer:

x = 9

Step-by-step explanation:

1: Make an equation

[tex]180 = 54 + 6x + 8 + 180 - (11x + 17)[/tex]

2: factor the -1

[tex]180 = 54 + 6x + 8 + 180 -11x - 17[/tex]

2: move x to one side

[tex]11x - 6x = 54 + 8 + 180 - 17 - 180[/tex]

3: simplify

[tex]5x = 45[/tex]

4: solve for x

[tex]x=9[/tex]

[tex] \tt \to \dfrac{96}{8} [/tex]

[tex] \\ \\ [/tex]

[tex] \tt \to \: 12 \: stickers[/tex]

Verify:-

12 × 8 = 96

hope it helped u!

Answer:

96/8

I promise you that it os

Answer:

See below

Step-by-step explanation:

Add 5 to each preceding number

               [tex]a_{n}[/tex] = ([tex]a_{n-1}[/tex])+5

1 9  9

2  14   [9+5]

3  19   [14+5]

4  24  [19+5]

5  29  [24+5]

6 34 34  [29+5]

Answer:

75°

Step-by-step explanation:

1:2:3

so there are a total of 6 parts. Then, each part would be:

=) 150÷6= 25

The largest angle is 3 parts. so, if 1 part is 25, 3 parts is 25×3= 75

The largest angle is is 75°

Hope this helps!

Answer:

(3x+2) + (2x-2) = 2*15

....

Answer:

b = 0.35 ; c = 2.03

Step-by-step explanation:

tan = opposite/hypotenuse

Therefore, tan (10) = b/2

b = 2 tan (10) = about 0.35

Use the Pythagorean theorem to find that c = 2.03

Answer:

is there any others?

Step-by-step explanation:

Answer:

The sales tax is equal to 5.6%

Step-by-step explanation:

To solve first we have to subtract the item's cost before sales tax from the total due. 91.08 - 86.25 = 4.83.

Next we take the amount we payed as tax and divide it by the pre-tax price. 4.83/86.25 = 0.056

Lastly we take 0.056 and convert it to a percentage. This can be accomplished by moving the decimal sign to 2 times to the left or multiplying the tax rate by 100.

The sales tax percentage is equal to 5.6%

Hope this helps you out :)

Answer:

CEFA

Step-by-step explanation:

1. [tex]p=2(2x)+2(3x+2)=4x+6x+4=10x+4[/tex]

2. [tex]p=2(x)+2(4x+1)=2x+8x+2=10x+2[/tex]

3. [tex]p=2(7)+2(x+5)=14+2x+10=2x+24[/tex]

4. [tex]p=2(5)+2(4x-3)=10+8x-6=8x+4[/tex]

Hope this helps

Answer:

Use your protractor to draw the lines

Step-by-step explanation:

You worked out the angles, so using the centre point as the middle and the line underneath France as your starter line, do 108° sector for Spain, then a 90° for Greece and a 12° for Others

Answer:

y=x-2

Step-by-step explanation:

set up in y1-y2/x1-x2

2 - (-2)/4 - 0

4/4 = 1

so x=1 and the y intercept is -2

so the answer is C

= 48cm²

To work out the area you must firstly multiply 8 by 12.

1) 8 x 12 = 96

Now you have to divide it by 2.

2) 96 / 2 = 48

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

Answer:

area for this rhombus: 48 units²

                                        Explanation:

area of rhombus: [tex]\boxed{\frac{1}{2} * diagonal.1* diagonal.2}[/tex]

        Here diagonal.1 is 8 units and diagonal.2 is 12 units

Using the formula:

→ [tex]\frac{1}{2} * diagonal.1* diagonal.2[/tex]

→ [tex]\frac{1}{2} * 8 * 12[/tex]

→ [tex]48[/tex] units²

You already have the answer. It is "One type of proof is a two-column proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof." which looks correct to me.

Answer:

The answer is 15/4

………………………………

Answer:

1) 12   2) 2y    3) 12+2y   4) 12+2y

Step-by-step explanation:

Answer:

168.75

Step-by-step explanation:

135.00 + 25% is 168.75

168.75 - 25% is 135.00

Answer:

The input x = 1 has many outputs.

The graph is a vertical line.

Step-by-step explanation:

Hi there!

A function is defined as a relation that only gives one output for every given input. For every x-value, there is only one y-value.

Because the x-value of 1 gives us an infinite number of y-values, this is therefore not a function.

More generally, no vertical line is a function for this reason.

I hope this helps!

Answer:

16

Step-by-step explanation:

The area of a parallelogram can be found with the formula: A=bh (area equals base times height)

The base of this shape is 4, we multiply this by the height which is four.

Four times four equals 16

So that's the answer, 16.

You are welcome ahhahahehehehe.

Answer:

1: No, x is raised to a power

2: Yes, can be solved in the form of y = mx + b

3: If this is supposed to be x + y = 45, then yes because it can be solved in the form of y = mx + b

4: Yes, it is in the form of y = mx + b

5: Yes, it is in the form of y = mx +b, it has a slope of zero and will be a horizontal line, which will pass the vertical line test

6: No, x is raised to a power.

7: No, x is raised to a power.

8: No, x is raised to a power

9: Is that supposed to be pi? If so, yes, it is in the form of y = mx + b

Step-by-step explanation:

Answer:

15 cm²

Step-by-step explanation:

To find the volume of a prism you multiply the area of the end face (pentagon in this example) by the length (9 cm). Here you would reverse that and divide the volume by the length to find the area. 135/9 is 15 so the area of the pentagon is 15 cm².

In equation form would be:

V=A×L    [V=volume   A=area   L=length]

So if you do inverse operations you would divide the volume by the length to get the area.

V/L=A

Answer:

∠ 1 = 109° , ∠ 2 = 29° , ∠ 3 = 71°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

∠ 1 + 35° + 36° = 180°

∠ 1 + 71° = 180° ( subtract 71° from both sides )

∠ 1 = 109°

-------------------

∠ RVU and ∠ 1 are adjacent angles on a straight line and sum to 180° , then

∠ RVU + ∠ 1 = 180°

∠ RVU + 109° = 180° ( subtract 109° from both sides )

∠ RVU = 71°

In Δ RVU

∠ 2 + 80° + 71° = 180° ( sum of angles in triangle )

∠ 2 + 151° = 180° ( subtract 151° from both sides )

∠ 2 = 29°

-------------------------

∠ 3 and ∠ RVU are vertically opposite angles and are congruent , then

∠ 3 = 71°

Δ UVT has: ∠V₁ = 180⁰ - ∠TUV - ∠VTU = 180⁰ - 35⁰ - 36⁰ = 109⁰

We have: ∠RVU = ∠V₃ = 180⁰ - ∠V₁ = 180⁰ - 109⁰ = 71⁰

ΔRVU has: ∠U₂ = 180⁰ - ∠URV - ∠ RVU = 180⁰ - 80⁰ - 71⁰ = 29⁰

Answer:

Ok done. Thank to me :>

First

angle in front of c is 30°, so hypotenuse is equal to 2c

it's right triangle, so let's use Pythagorean theorem\

[tex](2c)^2=c^2+4^2\\4c^2=c^2+16\\3c^2=16\\\\c^2=\dfrac{16}{3} \\\\c=\dfrac{4}{\sqrt{3} } =\dfrac{4\sqrt{3} }{3 }[/tex]

Second

b - the base of the triangle, angles at the base are equal ⇒ cathets are equal

it's right triangle, so let's use Pythagorean theorem

[tex]b^2=7^2+7^2\\b^2=49+49\\b=\sqrt{2\times49} =7\sqrt{2}[/tex]

Answer:

1 × 24 = 24          1, 24

2 × 12 = 24          2, 12

3 × 8 = 24          3, 8

4 × 6 = 24          4, 6

6 × 4 = 24         6, 4

8 × 3 = 24         8, 3

12 × 2 = 24        12, 2

24 × 1 = 24        24,1

Step-by-step explanation:

Hi!

I can help you with joy!

Remember, the product of means we multiply 2 numbers.

There are lots of ways we can write 24 as a product of 2 factors:

1×24

2×12

3×8

4×6

And the other way around as well:

6×4

8×3

12×2

24×1

Hope it helps!

Enjoy your day!

~Misty~

The cards that should be chosen by Claudia from the integers in order to make the greatest product will be 0 and 3.

From the complete question, it should noted that the number on the cards are -3, -2, 3, and 0.

In this case, she needs the card that will give her the greatest product. Therefore, the cards that should be chosen will be 0 and 3 which gives 0 unlike others that will give a negative value.

Learn more about integers on:

https://brainly.com/question/17695139