You earned (and saved) $3500 last summer weed whacking. Your folks tell you to get a savings account. You put all the money in one that pays 3% interest. How much would be in the account in 20 years?

Answer:

>> $9000 invested in mutual fund

>> $3000 invested in government bond

>> $4500 put in the bank

Step-by-step explanation:

Let us denote the money invested in each case by a letter. Thus;

a = the money that he invested in a mutual fund

b = the money that he invested in a government bond

c = the money that he put in the bank

We are told that he invested a total of ​$16,500. Thus;

a + b + c = 16500 - - - (eq 1)

He invested twice as much in the mutual fund as he did in the bank. Thus;

a = 2c - - - (eq 2)

From the percentage given and the return of ​$1,425 from the first year investments, we have;

0.11a + 0.07b + 0.05c = 1425 - - - (eq 3)

Let's put 2c for a in eq (1) and eq (3)

Thus;

2c + b + c = 16500

b + 3c = 16500 - - - (eq 4)

Also,

0.11(2c) + 0.07b + 0.05c = 1425

0.07b + 0.27c = 1425 - - - (eq 5)

From eq 4, b = 16500 - 3c

Putting this in eq(5) gives;

0.07(16500 - 3c) + 0.27c = 1425

1155 - 0.21c + 0.27c = 1425

0.06c = 1425 - 1155

0.06c = 270

c = 270/0.06

c = $4500

b = 16500 - 3(4500)

b = 16500 - 13500

b = $3000

Since a = 2c, then;

a = 2(4500)

a = $9000

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

As per intersecting chords theorem, we have following:

Correct choice is C

400 = 8x * x

400 = 8x^2

400 / 8 = x^2

root/50 = x

7.1cm = x

Step-by-step explanation:

since they are angles and there are three of them. Assume that they are part of a triangle. That is all I can do until you give more information about the problem. lmk down in the comments on the side length or whatever the problems asks for.

have a good day :)

Answer:

9 scarfs

Step-by-step explanation:

Answer:

9 scarves

Step-by-step explanation:

50 - 21 = 29

29/3 = 9 R2

So that is 9 scarves because you can't buy a fraction off a scarf

Answer:

x + 3y = 14

-4 + 3y = 14

+4 +4

3y = 18

y = 6

Answer:

K 110

Step-by-step explanation:

Find the amount to be spent for each item/service

18% of $400= $72

20% of $400= $80

35% of $400= $140

Now, add all his expenditures and subtract it from his income

$400 - ($72+$80+$140) = $400 - $290 = $110

Answer:20 cookies

Step-by-step explanation:

Answer:

60 is your answer.

Step-by-step explanation:

x - 8 = 10

add 8 to both sides,

x = 18

substitute 18 for x in the second equation:

4(18) - 12 = 72 - 12 = 60

Please lmk if you have questions.

Answer:

i wanna be christen

Step-by-step explanation:

howww

Answer:

£15.48

Step-by-step explanation:

just divide 92.88 by 6 to find how much they should each pay

92.88÷6= 15.48

hope this helps chu <3

Answer = 15.48

Step-by-step explanation:

92.88:6 = 15,48

To prove it 15,48×6 = 92,88

Answer:

11) 5x + 8 = 7x - 16

24 = 2x

x = 12

7(12) - 16 = 68

90 - 68

m<GJK = 22

12) 4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 68

x = 4

4(4) + 15 = 31

90 + 31 + ADE = 180

m<ADE = 59

13) 5x - 12 + 2x - 3 = 90

7x - 15 = 90

7x = 105

x = 15

5(15) - 12 = 63

VWZ + 63 = 90

m<VWZ = 27

14) 9x + 3 = 14x - 27

30 = 5x

x = 6

9(6) + 3 = 57

14(6) - 27 =57

90 - 57 = 33

33 + 33 + DHG = 180

m<DHG = 114

Measure of angles of polygons and quadrilaterals:

1) ∠GJK = 22°

2) ∠ADE = 59°

3) ∠VWZ = 27°

4) ∠DHG = 114°

11)

5x + 8 = 7x - 16

24 = 2x

x = 12

Now substitute the value of x,

7(12) - 16 = 68

90 - 68

∠GJK = 22°

12)

4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 68

x = 4

Now substitute the value of x,

4(4) + 15 = 31

90 + 31 + ADE = 180

∠ADE = 59°

13)

5x - 12 + 2x - 3 = 90

7x - 15 = 90

7x = 105

x = 15

Now substitute the value of x,

5(15) - 12 = 63

∠VWZ + 63 = 90

∠VWZ = 27°

14)

9x + 3 = 14x - 27

30 = 5x

x = 6

Now substitute the value of x,

9(6) + 3 = 57

14(6) - 27 =57

90 - 57 = 33

33 + 33 + DHG = 180

∠DHG = 114°

Know more about quadrilaterals,

https://brainly.com/question/13805601

#SPJ6

Answer:

It looks like the equataion is 2x(hugo)-10+y=137

Step-by-step explanation:

Hugo sold twice as many as italia but fewer 10.

Answer:

To find the percentage, take the answers right divided by the total. 58/65 is 89 percent

Answer:

C) 11%

Step-by-step explanation:

Subtract 65-58 , then divide that answer by 65(number of questions). Then multiply by 100 and round

Answer:

He should buy two of the 5-pound bag.

Step-by-step explanation:

The cook needs 10 pounds of flour.

He wants to spend the least amount of money.

First option is a 5-pound bag for $2.89 each.

He can get 2 of the 5-pound bag which equals 10 pounds of flour for 2 x $2.89 = $5.78

Second option is a 2-pound bag for $1.59 each.

He can get 5 of the 2-pound bag which equals 10 pounds of flour for 5 x $1.59 = $7.95.

Second option is $2.17 costlier than the first option.

So, he should go for 2 of the 5-pound bag in order to spend the least amount of money while shopping for 10 pounds of flour.

Answer:

About 38.72 hours

Step-by-step explanation:

Since the bus goes 55 miles per HOUR. You have to divide the total distance by the mph. Therefore, you would do 2130/55. So, the answer would be about 38.72 hrs. Hope this helped!

The bus travel from Chicago to San Francisco in 38.h2 hrs

It is given that Rate = 55 miles/hr

Distance = 2130 miles

We have to find the time

What is the formula for Distance?

Distance = Rate × Time

2130=55×t

38.72=t

Therefore 38.72 hrs is taken by the bus to travel from Chicago to Francisco

To learn more about distance problems click here : https://brainly.com/question/23774048

#SPJ2

Answer:

16.8

Step-by-step explanation:

Answer:

93°

Step-by-step explanation:

360 - 244 - 23 = b

b = 93

Answer:

224-23= 201

So it an obtuse angle it over 90 degrees

Step-by-step explanation:

Answer:

3.6666 (I didn't round)

Repeating decimal

Step-by-step explanation:

We know that

2/3

is the same as

2÷3

Therefore:

3 2/3 = 3+(2÷3) = 3 + 0.6666 =3.6666

A repeating decimal is one that keeps going and repeats a pattern. This is decimal keeps going and repeats a pattern so it is a repeating decimal.

A terminating decimal is one that terminates or ends. This decimal does not terminate or end. It keeps going.

Hope this helped.

Answer:

x = 24

Step-by-step explanation:

We can tell by two ways: We already know the value of one of the angles; 66 degrees. We can tell the value of the other one, because it has the right angle symbol, meaning it's 90 degrees. Remember that every triangle's degrees always add up to 180. We can find x by adding 90 and 66 together, which results in 156. Subtract 156 from 180 and you get 24. Therefore, the value of x is 24 degrees.

Answer:

24 degrees

Step-by-step explanation:

The total of a triangle is 180 degrees and a right angle is 90 degrees ( you can tell it's a right angle if it forms the shape of a straight capital "L" or if it has the square in that corner).

So to simplify this , add 90 and 66 which equals 156.

Now we subtract 156 from 180 ---->    180 - 156 = 24

So 24 degrees is your answer.

Answer:

An acute angle is an angle less than 90°

Answer:

A. Acute angle

Step-by-step explanation:

The angle which is less than 90 degrees is known as the acute angle.

Step-by-step explanation:

45 - ( +14 )

= 45 - 14

= 31

Hope it helps

Answer:

3 × 8 yards

Explanation:

possible lengths & widths for the given area of 24 square yards:

1 and 24, 2 and 12, 3 and 8, 4 and 6

of these four options, only 3 and 8 fit the requirement of the length of the garden being 5 yards more than the width of the garden. thus, the answer is 3 × 8 yards.

i hope this helps! :D

Answer:

third option down I'm 99% sure

Answer:

15

Step-by-step explanation:

1/10 of 50 = 5

50 -5 = 45

2/3 of 45 =30

45-30=15

As we know that angle of semi circle is 180°.

Here,

FLG = 40°

GLH = ?

HLJ = 60°

FLG + GLH + HLG = 180°

40° + GLH + 60° = 180°

GLH + 100° = 180°

GLH = 180° - 100°

GLH = 80°

Now,

FLH = 40° + 80° = 120°

[tex] \sf \: Length \: of \: an \: arc \: of \: GHF = \dfrac{ \theta}{360} \times 2 \pi \: r[/tex]

[tex] = \dfrac {120}{360} \times 2 \times \dfrac{22}{7} \times r[/tex]

[tex] = \frac{1}{3} \times \frac{44}{7} \times r[/tex]

[tex] = \frac{44}{21} \times r[/tex]

[tex] = 2.09r[/tex]

Answer:

DH

Step-by-step explanation: