Aaron kept $12 000 in a bank account with an annual interest rate of 4%. After exactly 2 years, the bank chose Aaron as the winner for a prize money worth $5000. Aaron decided to invest all his savings and the prize money into a Trust Fund which offers a dividend of 4.5% per annum. When ( which year ) will all his investment value exceed $20 000?

Answer:

$3.75 + 6% tax

$3.75

tax: $0.22

Total price with sales tax: $3.97

Step-by-step explanation:

Answer:

x <= 9

Step-by-step explanation:

x -15 <= -6

+15. +15

x <=9

Answer:

option 3

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Give Me brainllest

Answer:

-4

Step-by-step explanation:

Given: 5(x + 10) = 30

Divide: /5             /5

Subtract: x + 10 - 10 = 6 - 10

Solve: x = -4

Answer:

Rachel worked for [tex]3\frac{2}{3}[/tex] hours

Step-by-step explanation:

See comment for complete question

Given

Let

[tex]D = Dominic[/tex]

[tex]R = Rachel[/tex]

So:

[tex]D = 2\frac{3}{4}[/tex]

and

[tex]R =1\frac{1}{3}[/tex] as long as D

Required

Determine the number of hours spent by Rachel

This implies that:

[tex]R =1\frac{1}{3}[/tex] as long as D

Rewrite as:

[tex]R =1\frac{1}{3} * D[/tex]

Substitute: [tex]D = 2\frac{3}{4}[/tex]

[tex]R =1\frac{1}{3} * 2\frac{3}{4}[/tex]

Express as improper fraction

[tex]R =\frac{4}{3} * \frac{11}{4}[/tex]

This gives:

[tex]R =\frac{1}{3} * 11[/tex]

[tex]R =\frac{11}{3}[/tex]

Express as mixed numbers

[tex]R =3\frac{2}{3}[/tex]

Hence, Rachel worked for [tex]3\frac{2}{3}[/tex] hours

Answer:

x = 35

Step-by-step explanation:

The proper equation of proportions is

 x       42

----- = ------   and it yields x = 35

40      48

Answer:

? = 35

Step-by-step explanation:

The lengths of corresponding sides of similar polygons are in the same ratio.

The sides measuring 48 and 40 are corresponding sides.

The ratio of their lengths is 48/40.

The sides measuring 42 and ? are also corresponding, so they are in the same ratio.

That means we can set up a proportion to solve for the side with length ?.

48/40 = 42/?

Simplify the fraction on the left side.

6/5 = 42/?

Cross multiply.

6 * ? = 5 * 42

Divide both sides by 6.

? = 5 * 7

? = 35

Answer:

3, 1, 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1.) 10.5

2.) 3[tex]\pi[/tex] + 1

3.) [tex]\sqrt{105}[/tex]

Step-by-step explanation:

Simplify each first

3[tex]\pi[/tex] + 1 ≈ 10.42

[tex]\sqrt{105}[/tex] ≈ 10.25

10.5

Order

1.) 10.5

2.) 3[tex]\pi[/tex] + 1

3.) [tex]\sqrt{105}[/tex]

Answer:

105in²

Step-by-step explanation:

Surface area is the total area of the faces.

The faces of pyramid consist of triangles and a square

The area of a square can easily be calculated by squaring the side length

the square of this pyramid has a side length of 5

so

area of square = 5²

5² = 25

the area of the square is 25in²

Now to find the area of the triangles

All we have to do is find the area of one triangle and multiply that buy 4 ( because there are four triangle)

the area of a triangle can be calculated using this formula :

[tex]A=\frac{bh}{2}[/tex]  where b = base and h = height

The triangles have a base length of 5 in and a height of 8 in

so

[tex]A=\frac{5*8}{2} \\5*8=40\\\frac{40}{2} =20\\A=20[/tex]

So the area of one triangle is 20 in²

Now we multiply 20 by 4 to find the area of all 4 triangles

20 * 4 = 80

So the total area of the triangles is 80in²

Finally we add the two areas together

Surface area = 80 + 25

80 + 25 = 105

Hence, the surface area is 105in²

Answer:

105 in.

Step-by-step explanation:

To find the area of a square pyramid, use this formula

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height.

The base is a square.

To find the area of a square, simply multiply the side length by itself twice (x^2).

5 x 5 = 25.

25 is the area of the base.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/2 ⋅ p ⋅ height.

To find the perimeter of a square, add every side length; the sum is the perimeter.

5 + 5 + 5 + 5 = 20.

20 is the perimeter of the square.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/2 ⋅ 20 ⋅ height

The height is the number along the little lines.

8 is the height.

Now that we have all parts of the formula, we have our final equation.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/2 ⋅ 20 ⋅ 8 = 105.

105 in. is the surface area of the square pyramid.

Answer:

SAT average divided by budget per student

Graduation rate divided by budget per student

No. The definitions have opposite results.

Step-by-step explanation:

DID IT ON KHAN and

The key understanding here is that there isn't a single way to define "academic achievement." Graduation rate can be a good measure of that. Average SAT is also a good measure. The rate of students who are accepted into college can also be a good measure, but we are not given information about that.

Now let's go over the options and see which of them might be used to describe "academic achievements relative to the budget per student."

Hint #22 / 4

Definition Analysis Appropriate?

SAT average divided by budget per student "SAT average" is a measure of academic achievement. Dividing this by the budget per student gives us a good definition.

Yes

Yesstart color #1fab54, start text, Y, e, s, end text, end color #1fab54

Graduation rate divided by budget per student "Graduation rate" is a measure of academic achievement. Dividing this by the budget per student gives us a good definition.

Yes

Yesstart color #1fab54, start text, Y, e, s, end text, end color #1fab54

Number of sports medals won divided by budget per student "Number of sports medals won" isn't a measure of academic achievement.

No

Nostart color #e84d39, start text, N, o, end text, end color #e84d39

Graduation rate divided by number of sports medals won "Graduation rate" is a measure of academic achievement, but it's divided by the number of sports medals won, and not by the budget per student.

No

Nostart color #e84d39, start text, N, o, end text, end color #e84d39

Hint #33 / 4

We are left with two definitions for academic achievements relative to the budget per student:

SAT average divided by budget per student

Graduation rate divided by budget per student

Let's calculate the academic achievements relative to the budget per student for each school according to each definition:

School Definition #1 Definition #2

A

≈

0.114

student points

dollar

≈0.114

dollar

student points

​

approximately equals, 0, point, 114, start fraction, start text, s, t, u, d, e, n, t, space, p, o, i, n, t, s, end text, divided by, start text, d, o, l, l, a, r, end text, end fraction

≈

0.0082

student percents

dollar

≈0.0082

dollar

student percents

​

approximately equals, 0, point, 0082, start fraction, start text, s, t, u, d, e, n, t, space, p, e, r, c, e, n, t, s, end text, divided by, start text, d, o, l, l, a, r, end text, end fraction

B

0.105

student points

dollar

0.105

dollar

student points

​

0, point, 105, start fraction, start text, s, t, u, d, e, n, t, space, p, o, i, n, t, s, end text, divided by, start text, d, o, l, l, a, r, end text, end fraction

0.009

student percents

dollar

0.009

dollar

student percents

​

0, point, 009, start fraction, start text, s, t, u, d, e, n, t, space, p, e, r, c, e, n, t, s, end text, divided by, start text, d, o, l, l, a, r, end text, end fraction

Which school has higher academic achievements relative to the budget per student? School A School B

[Show me the calculations used for this table.]

Hint #44 / 4

In conclusion:

1) These are the two definitions Analia came up with to define the quantity:

SAT average divided by budget per student

Graduation rate divided by budget per student

2) The definitions have opposite results.

Show Calculator

Answer:

that should be right

Step-by-step explanation:

but if it is wrong i can walk you threw it.

Answer:

you r correct

well done x

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

2.93/.25=11.72 round up to 12

Answer:

h^7

Step-by-step explanation:

Its just adding another power.

Answer: h^7

Step-by-step explanation: I'm pretty sure! if not thats my bad

Answer:

250

Step-by-step explanation:

Every number is multiplied by 5

2 x 5 = 10

10 x 5 = 50

50 x 5 = 250

Answer:

2.23

Step-by-step explanation:

Answer:

you did it right

I hope it's helps you

Answer:

$48.5

Step-by-step explanation:

Given data

Number of purses= 14+2= 16

Cost of 14 purses= $50

Cost of 2 purses= $38

Let us use the weighted cost method

Mean cost = (14*50+ 2*38)/16

Mean cost = (700+ 76)/16

Mean cost = 776/16

Mean cost =$48.5

Answer:

1. Shen payed around $2.06 for the first bag of dog food.

2. Shen payed around $2.21 for the second bag of dog food.

Step-by-step explanation:

First, you have to do 14.98/7.26 to get around 2.06

Then, you do 17.54/7.94 to get around 2.21

Hope this helps!

Answer:

10/12

Hope it helps.

Answer:

Step-by-step explanation:

First we need to make this word problem into just numbers. Since we know feet per second (fps) we will multiply this by the given amount of seconds to find the answer

63 × 7

Now solve

After solving you should get 441 which is the answer

                                                      *EXTRA*

I have included a graph but it is hard to use since it is such a narrow line but still helpful since there is the equation included

Answer:

I think it would be B) 47.   Sorry if wrong

Step-by-step explanation:

Answer:

Option C,  

Calculating permutations can be used in all of following except assisting computer programmers

Step-by-step explanation:

Permutations is basically used in cases where there is some sort of patterning involved in it.

In case of seating arrangements at a wedding, survey and placing items into a display some kind of pattern will be followed.

Hence, option C

Answer:

survey results

Step-by-step explanation:

I got it right

Answer:

length = 14 feet

Step-by-step explanation:

112/8 = 14 feet

Answer:

14

Step-by-step explanation:

well we already can tell the no number under 10 will be eligible

so lets keep going

11, no it would only make 88,

12=96

13=104

14=112

the answer is 14

Answer:

D. 140

Step-by-step explanation:

∠ 1 + ∠ 2 = 180

So:

(3x + 20) + x = 180

4x + 20 = 180

4x = 180 - 20

4x = 160

x = 160 / 4

x = 40

∠ 1 = ∠ 4

∠ 2 = ∠ 3

If ∠ 1 is equal to ∠ 4, just plug in for x and solve.

3x + 20 = 3(40) + 20 = 120 + 20 = 140

Step-by-step explanation:

the nitrogen in the amino acid become converted to ammonia and this is further converted by the live into urea,which is less toxic than ammonia to the body.The kidneys will then filter theuera from the circulation,send it to the bladder along with water and excrete it form of urine.

Answer: 2 imaginary solutions

Step-by-step explanation:

x^2+2x+7=0

a=1, b=2, c=7

2^2-4*1*7

-24 (The discriminant is less than 0 , so the quadratic equation has 2 imaginary solutions)

Answer:

X = 40

Step-by-step explanation:

A triangle has 180 degrees, and considering that triangle ABC is similar to DEF that means that they have the same angles (A=D, B=E, C=F)

180 = 104 + 36 + x

180 = 140 + x

180-140 = x

40 = x