Brian has half of his investments in stock paying a 5% dividend and the other half in a stock paying 9% interest. If his total annual interest is $420, how much does he have invested?

Answers

Answer 1

The amount invested in each stock, the stock interest rate and the

duration of the investment, determines the interest.

Brian invested $3,000 in the stock that pays 5% dividend and $3,000 in the stock that pays 9% to make a total investment of $6,000.

Reasons:

Let X represent the sum of the amount Brian invested, we have;

Amount invested in stock paying 5% dividend = [tex]\dfrac{X}{2}[/tex]

Amount invested in stock paying 9% dividend = [tex]\dfrac{X}{2}[/tex]

Total annual interest = $420

Required:

The amount invested in the stocks

Solution:

The amount invested is found as follows;

[tex]\dfrac{X}{2} \times 5\% + \dfrac{X}{2} \times 9\% = 420[/tex]

0.025·X + 0.045·X = 420

0.07·X = 420

[tex]\displaystyle \mathrm{The \ amount \ invested , \, X} = \frac{420}{0.07} = \mathbf{ 6,000}[/tex]

The amount he invested = $6,000 ($3,000 in each stock)

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Related Questions

URGENT, WILL GIVE BIG BRAIN OR WHATEVER ITS CALLED LOL
For every 1000 hits a YouTub channel gets it makes £2 from ad revenue. a How many hits are required to make £21?​

Answers

Answer: 10,500 hits

Step-by-step explanation:

I WANT BIG BRAIN! I WANT BIG BRAIN AHAHHHHHHH!!!!!!!

ok there are a number of ways to go about this

it is unclear whether or not the YT content creator will get one pound for 500 hits

i honestly dont know but i am going to assume it will

1000 times 20 (we are plugging in a test variable, 20, here)

so lets say we have 20,000 hits

lets divide that by 1000 and we get 20. 20 times 2 is 40 pounds so obviously thats too much

lets try 1000 times 10

so we have 10 times 2 and thats 20 pounds. we are closer

10,500 hits

(i put in 500 because half of 1000 is 500 and that will give you one pound instead of two)

What is 50% of 35 like simplified

Answers

Answer:

It can't get more simple than that (*nose growing*)

Step-by-step explanation:

50% of 35 means 35 is 100% right? 50 is half of 100. So 50% of 35 will be half of 35, agree? So you multiply by crossing

35 = 100%

x = 50%

100 * x = 35 * 50 (do this math, you can multiply 35 by 5 then add 0)

100x = 1750

x = 1750 / 100

x = 17,5

Is 17,5 half of 35? You could have also done 35 / 2. It would be the same result because 50% is an easy percentage to work with.

nesesito ayuda ..........4c`````````````````````````````````````````````````````z#DRsw

Answers

Answer: ???

Step-by-step explanation:

through: (1, 3) and (-3,-5)

Answers

☆Answer : (X1, Y1) = (1, 3) (X2, Y2) = (-3, -5)

m = (Y2 - Y1)/(X2 - X1)

m = (-5 - 3)/(-3 - 1)

m = -8/-4

m = 2

the formula used to convert temperature from celsius to Fahrenheit is ___ find the formula that you can convert fahrenheit to celeries by solving C

Answers

Answer:

Celsius and Fahrenheit are two important temperature scales that are commonly misspelled as Celcius and Farenheit. The formula to find a Celsius temperature from Fahrenheit is: °F = (°C × 9/5) + 32 The formula to find a Fahrenheit temperature from Celsius is: °F = (°C × 9/5) + 32 The two temperature scales are equal at -40°.

Step-by-step explanation:

PA BRAINLIEST

A rhombus that is also a rectangle

Ignore the numbers
Help me how do I do this questionnnnn

Answers

Answer: No, they don't have enough money.

==========================================================

Explanation:

Let's find the area of the shape given. It's composed of two rectangles.

larger rectangle area = 8*9 = 72 sq meterssmaller rectangle area = 6*7 = 42 sq meters

The two rectangle areas add to 72+42 = 114 sq meters. This is the total floor area.

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

Let x be the number of tins of polish the caretaker buys.

One tin covers 12 m^2 of floor area. Buying x of them covers 12x square meters of space. We need to cover 114 square meters.

Solving 12x = 114 leads to x = 9.5 when you divide both sides by 12.

Since the caretake cannot buy half a tin, we must round up to the nearest whole number. This means s/he must buy 10 containers of polish.

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

Each bottle of polish costs £19

Ten of them cost 10*19 = 190 pounds. This is before the discount.

If you save 30%, then you save 0.30*190 = 57 pounds and the final price is 190-57 = 133 pounds.

Or put another way: if you save 30%, then you pay the remaining 70% and that final price is 0.70*190 = 133 pounds.

This final price is 3 more pounds than what the caretaker has, so they don't have enough money.

I’m so confused, can someone help me? I’ll give brainlist

Answers

Answer:

16

Step-by-step explanation:

the square root of 16 is 4. (4x itself is 16)

out of the options, that is the only one that has a whole number as the square root.

16 square root is the only rational number. brainliest? i need 3 more to move up to Ace

An Olympic-size swimming pool is 50 meters long. How many yards long is
the pool, to the nearest tenth of a yard?

Answers

Answer:

10.9

Step-by-step explanation:

Answer:

54.7 yards

Step-by-step explanation:

1 meter = 1.094 yards

50 meters = 54.7 yards

The rabbit will never go over 75 pounds. If this rabbit is bom in July weighing 2 pounds, in which month will it weigh around 46 pounds?

Answers

The answer is June your welcome

A man is 32 years older than his son ten year ago he was three times as old as his son was then find the present age of each?

Answers

x-32=y

x-10=3(y-10)=3y-30

X+20=3y

3x-96=3y

Thus, X+20=3x-96, and 2x=116, X=58

Now, 58–32=y, thus, y=26

Suppose Steve changed $250 into 200 Euros. How many Euros did he receive per US dollar?

Answers

Answer:

0.8 Euros

Step-by-step explanation:

Per US Dollar means its a proportion that the question is asking for. So, you can do 200/250 and get the answer.

Help please Its about functions

Answers

I only got the first one, but i hope this helped :/

4. How long would it take sound waves traveling through air that is 68°F to
travel 1,372 meters? Use an equation to solve the problem.

Answers

Answer:

2.7 seconds

Step-by-step explanation:

[] Temp of air: 68°F -> 20°C

[] Velocity of sound in air:

[tex]v=331.3\sqrt{1+\frac{T}{273.15} }[/tex]

[tex]v=331.3\sqrt{1+\frac{68}{273.15} }[/tex]

v ≈ 370.25 m/s

[] Last,

t = [tex]\frac{d}{v}[/tex]

t = [tex]\frac{1,372}{370.25}[/tex]

t ≈ 3.7056 ≈ 2.7 seconds

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Can someone please help me with this? I will give brainlist :(

Answers

Answer:

2nd

Step-by-step explanation:

The second one

What is the cardinal number of the set S={all letters contained within the word BALLADEER}?

Answers

Answer:

6

Step-by-step explanation:

sets cannot have repeated elements. So this set only has the letters B, A, L, D, E, R which means the cardinality is 6

HI is number 12 correct?

Answers

Answer: there nothing there
Proof

Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.
f(x)=2(x−8) ^2−3

Answers

Answer:

It's a minimum, at (8, -3)

Step-by-step explanation:

Option 1: you unwrap the square , add like terms, and then recognize it's a parabola and find the coordinates of the vertex.

Or look at it as -3 + something ^2. It means you are adding something positive to -3, so the sum is greater or equal to -3, that is the definition of a minimum. At that point you find the minimum by setting that something equal to 0 (which gives you x = 8) and the value is -3 + 0 = -3

There are 14 girls and 15 boys in a sixth grade math class. What is the ratio of girls to total students?​

Answers

I would say 14:15 it’s the only things that makes sense and this ratio can’t further be reduced

i dont know this question i will give you brainly

Answers

Answer:

11z/4+3/10

Step-by-step explanation:

Distribute first then combine like terms.

Help help math math help help

Answers

Answer:no they are not

Step-by-step explanation:

As all angles are 60∘ each and given all sides are equal then it can be said as congruent.

Answer:

no

Step-by-step explanation:

18.which the venn diagram illutrates A-B?​

Answers

Answer:

Option B is correct answer

A spherical tank has a circular orifice in its bottom through which the liquid flows out. The following data is collected for the flow rate through the orifice as a function of time:

Answers

Hi small cats and cats and dogs have a great experience with the evening of the evening of 6th century the morning of this

In the xy-plane, a line crosses the y-axis at the point (2, 2) and passes through
the paint (-3, -13). Which of the following is an equation of the line?

Answers

I would say the 2 one and for that one it’s 3

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

Answers

Answer:

(27×3^-2)(8×2^-3) = 3

Step-by-step explanation:

(27×3^-2)(8×2^-3) = 3 or 3/1


First, we do PEMDAS (Please Excuse My Dear Aunt Sally)

↳ (27×3^-2)

↳ 27×1/9=3


Second, do the other one in parentheses because of PEMDAS

↳ (8×2^-3)
↳ 8×1/8=1


—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

Please can someone show me their working on these, as I'd really like to know where I went wrong.

Answers

Answer:

C

Step-by-step explanation:

You were on the right track, but 3-2 = 1, so the exponent of (x-4) is 1.

Answer:

C and B

Step-by-step explanation:

(6)

[tex]\frac{(x-4)^3(3x+6)}{(x-4)^2}[/tex]

Cancel (x - 4)³ on numerator with (x - 4)² on denominator

leaving (x - 4) on numerator and 1 on denominator

= (x - 4)(3x + 6) → C

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

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

4a² × 7[tex]a^{\frac{1}{2} }[/tex]

= 4 × 7 × a² × [tex]a^{\frac{1}{2} }[/tex]

= 28 × [tex]a^{\frac{4}{2} }[/tex] × [tex]a^{\frac{1}{2} }[/tex]

= 28 × [tex]a^{(\frac{4}{2}+\frac{1}{2}) }[/tex]

= 28[tex]a^{\frac{5}{2} }[/tex] → B

BETWEEN WHAT TWO INTEGERS IS THE SECOND ZERO?

Answers

Answer:

between 2 and 3

Step-by-step explanation:

see how it crosses the x axis a little after 2, so it's between 2 and 3

Which expression is equivalent to (1/square root y)^-1/5

Answers

Answer:

y^(1/10).

Step-by-step explanation:

(1/√y)^-1/5

= (y ^-1/2)^-1/5

= y^(-1/2 * -1/5)

= y^(1/10)

Answer:

Step-by-step explanation:

(1/sqrt(y) )^-1/5      To get rid of the minus, turn the sqrt(y) over.

(sqrt(y))^1/5           Represent the square root of y as y^(1/2)

(y^(1/2))^(1/5)         Multiply the powers

y ^ 1/10

1.2) Raflte tickets cost $6 for 5 tickets
How many tickets can you get for $90

Answers

15 tickets because 90 divide by 6 is 15
Answer:
One ticket is worth 1.2
90$ gets you 75 tickets
Step by step explanation:
T=ticket(s)
6=5t
6/5=t
90/(1.2)=75

if k=6 what is the value of 7k-2

Answers

Answer:

7x6-2=40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

7k -2 =

7(6) - 2

42 -2

40

You are welcome!

Kayden Kohl

8th Grade Student

What is the remainder of 2021^2022 divided by 337? 30 POINTS PLS HELP!!!!!!!!!!!!!!

Answers

Answer:

The remander is 1 hope that helps

Step-by-step explanation:

The remainder is 1 when the expression (2021)²⁰²² is divided by 337.

What is remainder?

The amount that remains after division is known as the Remainder. The result of division is a value if a number (dividend) cannot be divided entirely by another number (divisor). The remainder is what is known as this amount.

The given term is,

(2021)²⁰²²

To find the remainder when (2021)²⁰²² is divided by 337,

Firstly, divide 2021 from 337.

The remainder of 2021/337 is 336.

Or the remainder can be written in negative as -1.

So the remainder of (2021)²⁰²² when divided by 337,

(2021)²⁰²²/337 = (-1)²⁰²² = 1

The required remainder of (2021)²⁰²² when divided by 337 is 1.

To know more about Remainder on:

https://brainly.com/question/20286167

#SPJ2

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