I NEED HELP ASAP IT'S DUE IN 40 MINUTES!!! I'LL GIVE BRAINLIEST!!!

Answer:

John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?

The explanation of the answer is now given as follows:

Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:

a + b + c = 12,000 ……………………….. (1)

Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:

c = b + 4,000 ……………………………. (2)

The total amount of interest earned from each fund can be represented as follows:

0.03a + 0.04b + 0.07c = 670 ………………. (3)

Substituting equation (2) into equation (1), we have:

a + b + b + 4,000 = 12,000

a + 2b = 12,000 – 4,000

a + 2b = 8,000

a = 8,000 – 2b ……………………….. (4)

Also, substituting equation (2) into equation (3), we have:

0.03a + 0.04b + 0.07(b + 4,000) = 670

0.03a + 0.04b + 0.07b + 280 = 670

0.03a + 0.04b + 0.07b 0 = 670 – 280

0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)

Substituting equation (4) into equation (5) and solve for b, we have:

0.03(8,000 – 2b) + 0.11b = 390

240 – 0.06b + 0.11b = 390

240 + 0.05b = 390

0.05b = 390 – 240

0.05b = 150

b = 150 / 0.05

b = 3,000

Substituting b = 3,000 into equation (2), we have:

c = 3,000 + 4,000

c = 7,000

Also, substituting b = 3,000 into equation (4), we have:

a = 8,000 – (2 * 3,000)

a = 8,000 – 6,000

a = 2,000

Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Answer:

11

Step-by-step explanation:

first, distribute the negative four in Expression 1: -36x+8+3

next, set that equal to Expression 2: -36x+11 = -36x+k

finally, add 36x to both sides: 11 = k

Answer:

New members pay each month = $18 per month

Step-by-step explanation:

Given:

Total rental membership = $231

Advance registration fee = $15

Find:

New members pay each month

Computation:

Number of month in year = 12

Fee after registration = $231 - 15$

Fee after registration = $216

New members pay each month = Fee after registration / Number of month in year

New members pay each month = 216 / 12

New members pay each month = $18 per month

Answer:

Step-by-step explanation:

UR MOM

Answer:

5th term will approximate 5461/64

Step-by-step explanation:

5th term will approximate 5461/64

64+16+4+1+0.25 = 85.25 ≈ 5461/64 = 85.33

Answer:

nah

Step-by-step explanation:

Answer:

23 roses from the fifth rose bush

Step-by-step explanation:

3 roses from the first rose bush

5 roses from the second rose bush

9 roses from the third rose bush

15 roses from the fourth rose bush

Odd numbers are 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25

roses from the second rose bush = next odd number after 3

= 5

roses from the second rose bush

= 2 next odd number after 5

= 9

roses from the fourth rose bush

= 3 next odd number after 9

= 15

how many roses will Gabrielle cut from the fifth rose bush?

roses Gabrielle cut from the fifth rose bush = 4 next odd number after 15

= 23

23 roses from the fifth rose bush

Step-by-step explanation:

Apply rule: 3x+3x =-1

Add similar elements: 6x=-1

Divide both sides by six

Simplify: x= -1/6

Go with ÷5 its the most closest while the rest are no where to be found.

Answer:

Let the required side be x.

[tex] {x} = \sqrt{ { (\sqrt{2})}^{2} + {(4)}^{2} } \\ = \sqrt{2 + 16} \\ = \sqrt{18} \\ = \boxed{ 3 \sqrt{2} }[/tex]

Answer:

Step-by-step explanation:

Beth is painting at a rate of 6/5=1 1/5 room per hours

The time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that at top speed, Beth could paint 5 identical rooms during one 6 hour shift. Therefore, the time it will take for Beth to paint a single room is,

Time for a single room = Time taken to paint / Number of rooms

                                      = 6 hours / 5 rooms

                                      = (6/5) hours per room

                                      = 1 1/5 hours per room

Hence. the time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ2

Answer:

is it not just 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Find the intersection of Red and Cruze, and you get the box with 3

Answer:price of the bicycle was reduced by 25%

Step-by-step explanation:

Step 1

Old Price of bicycle = $120

New Price of  bicycle= $90

Price decrease= $120-$90= $30

Step 2

Percentage decrease = Decrease / Original price x 100

= (30/120)  x 100

1/4 x 100

= 25%

Therefore the percentage decrease in the price is 25%

Answer:

Step-by-step explanation: add 5, add 3

24+5= 29,

29+3= 32,

etc

Answer:

$52

Step-by-step explanation:

1.First find out how much is 20% of $65

So:

20/100 × 65/1 = 1300/100 = 13

So 20% of $65 is $13

2. Subtract the amount of percentage, which is $13, from the original price, which is $65, to get the new price.

So:

$65 - $13 = $52

The new price or price of the item now is $52

I hope this helps!

Answer:

It is

1/c^93

Step-by-step explanation:

Answer:

w=28

Step-by-step explanation:

multiply both side by 4:

[tex]4*(\frac{w}{4} -4)=3*4\\4*\frac{w}{4}-16=12\\w-16=12[/tex]now add  +16 in both side:

[tex]16+w-16=12+16\\w=28[/tex]

Answer:

C) 50°

Step-by-step explanation:

Δ FJG ≅ Δ IKH

∡J = 90

∡I and ∡F = 40

therefore, ∡G = 180 - (90+40) = 50°

Answer:

168

Step-by-step explanation:

Stefan sells Jin a bicycle for $150 and a helmet for $18. The total cost for Jin is 140% of what

Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How

much money did he make by selling the bicycle and helmet to Jin?

Stefan originally spent $ because you said "Stefan spent originally to buy the bike and helmet" so the answer would be 168

Answer:

x=y-3

Step-by-step explanation:

okay, so first, we have to understand what the words mean.

PRODUCT: means the answer to a multiplication question

DECREASED: taken away or to make smaller

AND: addition or add

We can use X for "product" and Y for "a number"

now we can write it out:  

x=y+5-3

OR

y+5-3=x

Answer:

13 vertices. In geometry, the augmented hexagonal prism is one of the Johnson solids (J54). As the name suggests, it can be constructed by augmenting a hexagonal prism by attaching a square pyramid (J1) to one of its equatorial faces. When two or three such pyramids are attached, the result may be a parabiaugmented hexagonal prism, a metabiaugmented hexagonal prism or a triaugmented hexagonal prism. Augmented hexagonal prism.

Type: Johnson J53 - J54 - J55

Faces: 2x2 triangles 1+2x2 squares 2 hexagons

Edges: 22

Vertices: 13

Answer:

∠ F ≈ 78°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosF = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FG}{EF}[/tex] = [tex]\frac{1.5}{7.5}[/tex] , then

∠ F = [tex]cos^{-1}[/tex] ([tex]\frac{1.5}{7.5}[/tex] ) ≈ 78° ( to the nearest degree )

Answer:

x = 20

Step-by-step explanation:

The way to solve these problems is by isolating x (getting it by itself on one side).

So let's look at the operations needed!  First of all, there's currently a +6 hanging out next to x.  We don't want that, so we subtract 6 from both sides.

x/5 + 6 = 10

       -6    -6

      x/5 = 4

We now see that x is being divided by five.  To get just x, we can now multiply both sides by five to get rid of that fraction.

       x/5 = 4

        *5    *5

           x = 20

Answer:

Step-by-step explanation:

Answer:

[tex]5n + 2(11 - n) = - 5 \\open \: brackets \\ 5n + 22 - 2n = - 5 \\ 5n - 2n = - 5 - 22 \\ 5n - 2n = - 27 \\ 3n = - 27 \\ n = \frac{ - 27}{3} \\ n = - 9[/tex]

Answer:

Step-by-step explanation:

None of them

Answer:

144 meters.

Step-by-step explanation:

If he starts the first 4 hours at 15 meters per hour, he will have traveled 60 meters. If he does the rest of the 7 at 12 meters per hour, he will have traveled another 84 meters. If you add them together you get a total journey of 144 meters.

Answer:

24(2y-1)

Step-by-step explanation:

(pls mark me brainliest)