Bella invested $1000 this past year and earned $110 in interest. Bella's investment portfolio was made up of two items: stocks, which earned 15% interest, and bonds, which earned 7% interest. How much money, in dollars, did Bella invest in stocks this year? Enter your answer as a number with two decimal places.

Answers

Answer 1

Answer: Bella invested $500 in first and $500 in second stock this year.

Step-by-step explanation:

Given: Total principal amount = $1000

Interest = $110

For first year , interest = P x r  , where P= principal , r= rate of interest ( in decimal)

For first bond , interest rate=  15% = 0.15

Let P = x

Interest = 0.15x

For second bond ,  interest rate=  7% = 0.07

Let P = 1000-x

Interest = 0.07(1000-x)=70-0.07x

Now, [tex]0.15x+70-0.07x=110[/tex]

[tex]\Rightarrow\ 0.8x=40\\\\\Rightarrow x=\dfrac{40}{0.08}\\\\\Rightarrow x=500[/tex]

Also, 1000-x = 1000-500=500

Hence, Bella invested $500 in first and $500 in second stock this year.


Related Questions

A fishing boat with two people on it runs out of gas while out in a bay. The people set off an emergency flare from a height of 2 meters above the water. The flare has an initial vertical velocity og 30 meters per second. How long does it take the flare to reach its maximum height? What is that height?

Answers

Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

Max height = 900/19.62

Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m

Shannon's little brother is 7 weeks old. She is exactly
3 years and 3 days older than he is. How old is Shannon in days?
Assume that a year is 365 days.

Answers

Answer:

1147 days

Step-by-step explanation:

3x365= 1095

7x7=49

1095+49+3=1147

So 7 weeks is 49 days right? So know we need to figure out how many days are in three years. (365 times 3) the answer is 1,095. Add that to 49. The answer is 1,144. Add three. The answer is 1,147.

Can someone please help me

Answers

Answer:

x, 4 y, 3, z2

Step-by-step explanation:

Find ABC, Please help!

Answers

Answer:

50°

Step-by-step explanation:

Angle A = AngleB (Corresponding angles)

x=2x-50

x=50°

Hope it helps

Answer:

∠ ABC = 50°

Step-by-step explanation:

2x - 50 and x are corresponding angles and congruent, thus

2x - 50 = x ( subtract x from both sides )

x - 50 = 0 ( add 50 to both sides )

x = 50

Thus

∠ ABC = x = 50°

How many different four-digit alarm codes can be formed for a house alarm if
digits cannot be repeated?

Answers

Answer:

about 3000

Step-by-step explanation:

A small cab carries 4 people. How many small cabs will I need to transport 44 people?

Answers

44/4 = 11, so 11 small cabs would be needed to transport 44 people.
11 small cabs would be needed

What is the average rate of change in height over the entire 5 seconds?

Answers

Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).

Step-by-step explanation:

- 2/3 × 3/5 + 5/2 - 3/5 × 1/6​

Answers

first start by multiplying:
-6/15 + 5/2 -3/30

then u can simplify the fractions, -6/15=-2/5 and -3/30=-1/10

-2/5 + 5/2 - 1/10, now find a common denominator in this case 10
-4/10 + 25/10 - 1/10

now add and subtract normally

answer:20/10 or 2

Answer:

2

Step-by-step explanation:

(-2/3 x 3/5) + 5/2 - (3/5 x 1/6)

-2/3 x 3/5 = -6/15 = -2/5 (simplified)

3/5 x 1/6 = 3/30 = 1/10 (simplified)

Changed equation: -2/5 + 5/2 - 1/10

-2/5 x 2 = -4/10

5/2 x 5 = 25/10

Changed equation: -4/10 + 25/10 - 1/10

Answer: 20/10 = 2 (simplified answer)

Verify 1) x³+y³=(x+y)(x²-xy+y²)
2) x³-y³=(x-y)(x²+xy+y²)
using some non-zero positive integers and check by actual multiplication. can you call these as identities? ​

Answers

To Prove & verify that :

x³ + y³ = (x + y)(x² - xy + y²)

x³ - y³ = (x - y)(x² + xy + y²).

Proof for 1st Identity :

★ x³ + y³ = x (x² - xy + y²) + y(x² - xy + y²)

⟶ x³ + y³ = x³ - x²y + xy² + x²y - xy² + y³

⟶ x³ + y³ = x³ + y³

Proof for 2nd identity :

★ x³ - y³ = x(x² + xy + y²) - y(x² + xy + y²)

⟶ x³ - y³ = x³ + x²y + xy² - x²y - xy² - y³

⟶ x³ - y³ = x³ - y³

For example,

Let us assume that,

x = 1

y = 2

So,

✯ x³ + y³ = 1³ + 2³

⟹ (x + y)(x² - xy + y²) = 1 + 8

⟹ (1 + 2)(1² - (1)(2) + 2²) = 9

⟹ 3 * (1 - 2 + 4) = 9

⟹ 3 * 3 = 9

⟹ 9 = 9

✯ x³ - y³ = 1³ - 2³

⟹ (1 - 2) * (1² + (1)(2) + 2²) = 1 - 8

⟹ ( - 1) * (1 + 2 + 4) = - 7

⟹ ( - 1) * (7) = - 7

⟹ - 7 = - 7

Thus , they can be called as identities/formulae as they are very useful in finding the value of a certain equation or an expression easily.

I hope it will help you.

Regards.

Add my snaq k1nglean if anyone wants to ttrade you gotta be 16+​

Answers

Alright waittt trade picsss omgggg this is a school website I’m just playing with you

m.c.m (3, 16, 2) ?? please help

Answers

B I got it on edg 2020 in may last year

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic = }{ \bf { \textcolor{orange}{mathematics = }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

M.C.M=

[tex] \bf \textcolor{red}{ \huge{48}}[/tex]

3-16-2|2

3-8-1 |2

3-4-1 |2

3-2-1 |2

3-1-1 |3

1-1-1

2⁴•3

M.C.M=

2•2=4

2•2=4

4•4=16

16•3=48

[tex] \bf \textcolor{green}{ \underbrace{48}}[/tex]

xLasersx✨

What is the solution to 3x-10x+5=5x+17

Answers

Answer:

x = -1

Step-by-step explanation:

3x - 10x + 5 = 5x + 17 (collect like terms)

-7x + 5 = 5x + 17 (subtract 5x on both sides)

-12x + 5 = 17 ( subtract 5 on each side)

-12x = 12 ( divide by -12 on each side)

x = -1

Answer:

x = - 1

Step-by-step explanation:

[tex]3x - 10x + 5 = 5x + 17[/tex]

Add the like terms.

[tex] - 7x + 5 = 5x + 17[/tex]

Add 7x to both sides.

[tex]5 = 12x + 17[/tex]

Subtract 17 from both sides.

[tex] - 12 = 12x[/tex]

[tex] - \frac{12}{12} = x[/tex]

[tex] - 1 = x[/tex]

Change the number below into scientific notation. 3,450,000,000

Answers

Answer:

3.450*10^4

Step-by-step explanation:

3.45x10^9 is the correct answer for scientific notation

ANSWER!!!!! PLEASE!!!!!! QUCKLY NOWWW!!!!
A candy manufacturing plant manufactures 18,000 pieces of candy in an 12 hour shift. The candy produced varies directly with the hours worked. How many pieces of candy can be manufactured in a 4 hour shift?

Answers

Answer:

6000 pieces of candy will be made in a 4 hour shift

Step-by-step explanation:

the ratio is 18000/12 if you find the unit it would be 1,500 pieces per 1 hour. multiply that by 4 and you would get 6000.

HELP PLEASEEEE!!
Choose the equation with the correct grouping symbols.

A. 45 + 45 ÷ (3 ÷ 3) = 20
B. 45 + [45 ÷ (3 ÷ 3)] = 20
C. [45 + (45 ÷ 3)] ÷ 3 = 20
D. 45 + (45 + 3 ÷ 3) = 20

Answers

Answer:

C

Step-by-step explanation:

(45+(15))/3=20

PLEASE HELP! WILL MARK BRAINLIEST

Answers

Oh sorry about that im a 6th grader my older sister is in 7th but wish you luck on your quiz!

Carl is planning out his route for an upcoming race. He uses negative numbers to represent points before the finish line and positive numbers to represent points past the finish line. On Carl's map, the last water station is at − 27 1 4 −27 4 1 ​ minus, 27, start fraction, 1, divided by, 4, end fraction meters, and his family is watching him at 9 1 2 9 2 1 ​ 9, start fraction, 1, divided by, 2, end fraction meters. What does 0 00 meters represent?

Answers

Answer:

0 represents the start point

Step-by-step explanation:

Given

[tex]Before\ Finish\ Line = -27\frac{1}{4}[/tex]

[tex]After\ Finish\ Line = 9\frac{1}{2}[/tex]

Required

What does 0 represents

In a race; there's always a starting point, irrespective of the current position of the racer.

This position is always at the 0 point.

Hence:

The 0 meters represents the start point

Answer:

The finish line

#2: Tell whether the function below is linear or exponential.
y = 4 • 2^x


Answers

O Linear
O Exponential

Answers

Answer:

Exponential

Step-by-step explanation:

For this question you need to understand what is a linear function and what is an exponential function.

Linear function is a function where any variable x,y,z has the power of maximum 1 for example

x+y=1

7x+2y=10

1000x+9999y=40000

The numbers look too big but its the same category as linear function because all the variable in the equation are to the power of 1

Whereas, An exponential function is a mathematical function of the following form: [tex]y=a^x[/tex] where x is a variable, and a is a constant called the base of the function. Most commonly exponential functions are involved with mathematical symbol [tex]e[/tex].

So in your question [tex]y=4.2^x[/tex] where x the variable has become the power/degree the fucntion is an exponential function.

Using elimination method.
1:x+y=16
x-y=0

Answers

Answer:

x = 8 and y = 8

Step-by-step explanation:

Giving equations:

     x + y  = 16

     x - y = 0

Unknown:

Find the values of x and y= ?

Solution:

      x + y  = 16  ---- (i)

      x - y = 0   ------(ii)

Add i and ii:

      2x  = 16

         x = 8

Subtract i and ii;

         2y = 16

            y = 8

Which of the following points are correct for the equation (multiple answers)
Y = 3x + 2
(-1, -3)
(0,5)
(1,5)
(2-3)

Answers

Answer:

1,5 is your answer

Y=5 and X=1

Insert it in the equation

5=3(1)+2

5=3+2

5=5

Hence proved!

6(x-2=4(x+3) what does x equal

Answers

Hey mate here is your answer.

6(x-2) = 4(x+3)

6x-12 = 4x + 12

6x - 4x = 12 + 12

2x = 24

x = [tex] \frac{24}{2} [/tex]

x = 12

A bag contains 12 blue blue marbles and 8 red marbles what is the ratio of the blue marbles to red marbles

Answers

Answer:

12:8 or 12 to 8 or u could do it in fraction form

Step-by-step explanation:

Answer:

12:8 or 12 to 8

Explanation:

The ratio of blue marbles to red marbles is 12 to 8


The value of 
y
is directly proportional to the value of 
x
.
x
.
if 
y
=
42
y
=
42
when 
x
=
84
,
x
=
84
,
what is the value of 
y
y
when 
x
=
35
x
=
35

Answers

Answer:

y = 17.5

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 42 when x = 84, then

42 = 84k ( divide both sides by 84 )

0.5 = k

y = 0.5x ← equation of proportion

When x = 35, then

y = 0.5 × 35 = 17.5

The Baltic Sea is almost completely surrounded by countries in Europe. The average depth of the Baltic Sea is 52 meters below the surface. The deepest point in the Baltic Sea is 407 meters lower than this. What is the deepest point in the Baltic Sea relative to the surface?

Answers

Answer:

The deepest point in the Baltic Sea relative to the surface is 459 meters.

Step-by-step explanation:

The average depth of the Baltic Sea is:

[tex] d_{1} = 52 m [/tex]

The deepest point in the Baltic Sea is (lower than this):

[tex] d_{2} = 407 m [/tex]

Hence, the deepest point in the Baltic Sea relative to the surface is given by:

[tex] d_{T} = d_{1} + d_{2} = 52 m + 407 m = 459 m [/tex]

Therefore, the deepest point in the Baltic Sea relative to the surface is 459 meters.

I hope it helps you!          

Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?

As x approaches -7 from the left, y approaches ∞.
As x approaches -7 from the right, y approaches -∞.
As x approaches 7 from the left, y approaches –∞.
As x approaches 7 from the right, y approaches –∞.

Answers

Answer:

its D

Step-by-step explanation:

if you look at the graph I shared, the end behaviors are

As x approaches -7 from the left, y approaches -∞.

As x approaches -7 from the right, y approaches ∞.

As x approaches 7 from the left, y approaches ∞.

As x approaches 7 from the right, y approaches –∞.

The only one that maches this description is D

Answer:d

Step-by-step explanation:

just d

As an estimation we are told 5 miles is 8 km.
Convert 44 km to miles.

Answers

Answer:

44 km converte to miles is 27.3403.

Answer:

27,5 miles

Step-by-step explanation:

sooo, you need to see how many Miles Is 1km..

5:8= 0,625

So when we know 0,625 mile = 1km then

44x0,625 = 27,5

And the result is 27,5 miles

write 4.9 × 10^5 in standard form

Answers

Answer:

30.7

Step-by-step explanation:

Write , or = to make the statement true. 9.008 ___ 9.08

Answers

Answer:

9.008 < 9.08

Step-by-step explanation:

9.08 is greater because you compare the number 9 and 9 are the same, 0 and 0 still the same, but then 0 and 8 you know eight is greater. was this helpful enough

How do you know if an equation has one solution, no solutions, or infinitely many solutions?

Answers

Answer:

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.

Step-by-step explanation:

To determine whether an equation has one solution, no solutions, or infinitely many solutions, we need to examine the relationship between the variables and the consistency of the equation.

Here are the general guidelines:

1. One Solution: An equation has one solution if the variables can be assigned specific values that satisfy the equation, resulting in a unique solution. When solving the equation, you will find a specific value or set of values for the variables that make the equation true. The solution is often a numerical value or a specific point in a coordinate system.

2. No Solutions: An equation has no solutions if there is no value or combination of values for the variables that satisfy the equation. When solving the equation, you will arrive at a contradiction or an inconsistency. For example, if you encounter a statement like 2 = 5 during the solution process, it indicates that the equation has no solutions.

3. Infinitely Many Solutions: An equation has infinitely many solutions if any value assigned to the variables will satisfy the equation. This typically occurs when the equation is an identity or when there are variables on both sides of the equation that cancel out during the solution process, resulting in the equation always being true. In such cases, any value can be substituted for the variables, and the equation will remain true.

Determining the nature of the solutions often involves algebraic manipulation, simplification, and analysis of the equation to determine if it is consistent, inconsistent, or an identity.

Learn more about equation here

https://brainly.com/question/12385602

#SPJ6

Please please help meee

Answers

Answer:

<X= 111 , <Y= 69, <Z 111

Step-by-step explanation:

X and Z are corresponding

solve for Y

180-111= 69

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