Mr. Barry invested some money at 5% and amount half as great as 4%. His total annual income from both investments was $210. Find the amount invested at 4%

A) $1000
B) $1500
C) $2000
D) $2500

Answers

Answer 1
The answer in image ...
Don't forget put heart ♥️ to me .
Mr. Barry Invested Some Money At 5% And Amount Half As Great As 4%. His Total Annual Income From Both
Answer 2

The amount invested at 4% is 1500.

How to estimate the amount invested at 4%?

Let x be the amount invested at 4%.

2x be the amount invested at 5%.

0.04x + 0.05(2x) = 210

Multiply by 100 to eliminate decimals

4x + 5(2x) = 21000

Remove parentheses: (a) = a

[tex]4 x+5 \cdot 2 x=21000[/tex]

Multiply the numbers: [tex]$5 \cdot 2=10$[/tex]

4x+10x = 21000

Add similar elements:

4x+10x = 14x

14x=21000

Divide both sides by 14

[tex]$\frac{14 x}{14}=\frac{21000}{14}[/tex]

Simplifying the above equation, we get

x = 1500

The amount invested at 4% is 1500.

Therefore, the correct answer is option B) $1500.

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Related Questions

Step 1: Subtract 3 from both sides of the inequality. Step 2: __________ Step 3: Divide both sides of the inequality by the coefficient of x.

Answers

Answer:

Hence the correct answer is Add 8x to both sides of the inequality.

Step-by-step explanation:

Step 1: Subtract 3 from both sides of the inequality.

Step 2: Add 8x to both sides of the inequality.

Step 3: Divide both sides of the inequality by the coefficient of x.

The inequality  

5 - 8x < 2x + 3.

Solve: 3w + 2 = 20 Write a real world problem that this equation represents.

Answers

Step-by-step explanation:

3w + 2 = 20

       -2    -2

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

3w = 18

----    ----

 3       3

   w = 6

You and your 2 friends have 20 fruits in total and your friend's mother gave you and your friends two more.

Hope this helped.

Given :

Equation – 3w + 2 = 20

Solution :

3w + 2 = 20

Transpose 2 to the right hand side of the given equation

3w = 20 - 2

Now, simplify the right hand side

3w = 18

Cross multiply

w = 18/3

w = 6

Hence, the solution of the equation is 6

Can someone help me with this plz plz pls

Answers

56/11=5.09090909090.......

50/9=5.5555........

7/9=0.777777.......

What is the midpoint of the segment shown below?
10
O A. (-1,-1)
(-11, 0)
O B. (-2, -3)
O C. (-1, -3)
- 10
10
(9,-1)
- 10
D. (-2, -1)

Answers

Answer:

(-1,-0.5)

Step-by-step explanation:

Find the solution to this problem by using the midpoint formula which is (x1+x2/2,y1+y2/2) plug in the values of y and x to get -11+9/2+0-1/2. simplify to get the solution of (-1,-0.5)

A stereo has a cash price of $850. It can be bought for a deposit of $200 and 12 monthly installments of $70. calculate the hire purchase price​

Answers

Step-by-step explanation:

Marie has decided to start saving for a down payment on her home. If she puts $1,000 every quarter for five years into a GIC earning 6% compounded monthly she will have $20,979.12. She will make her first deposit three months from now.

Laroquette Holdings needs a new $10 million warehouse. Starting today the company will put aside $139,239.72 every month for five years into an annuity earning 7% compounded semi-annually.

Brenda will lease a $25,000 car at 3.9%

The required amount that is paid on hire price is $190.

Given that,
A stereo has a cash price of $850. It can be bought for a deposit of $200 and 12 monthly installments of $70.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total price = $850
Total paid = 200 + 70×12
Total paid = $1040
Total extra pay = 1040 - 850 = $190.

Thus, the required amount that is paid on hire price is $190.

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Find the perimeter of the following figure. ​

Answers

Answer:

10 meters

Step-by-step explanation:

Perimeter= 3+3+2+2

=10

Have a nice day:)

find the quantity whose 15% in 220​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{15}{100}*220=\frac{15}{10}*22=3*11 = 33[/tex]

Two friends go to a Mexican restaurant for lunch. One friend orders 1 soft taco and
3 burritos and his bill was $8.75. The other friend's bill was $10.00 and he ordered 4
soft tacos and 2 burritos. What is the cost of a taco and what is the cost of a
burrito?
The cost of a taco is:
The cost of a burrito is:

Answers

Answer:

cost of a taco: $1.25

cost of a burrito: $2.50

Step-by-step explanation:

Let the cost of a taco be $t and the cost of a burrito be $b.

t +3b= 8.75 -----(1)

4t +2b= 10

Divide both sides by 2:

2t +b= 5

Making b the subject of formula:

b= 5 -2t -----(2)

Substitute (2) into (1):

t +3(5 -2t)= 8.75

Expand:

t +3(5) +3(-2t)= 8.75

t +15 -6t= 8.75

t -6t= 8.75 -15

-5t= -6.25

t= -6.25 ÷(-5)

t= 1.25

Substitute t= 1.25 into (2):

b= 5 -2(1.25)

b= 5 -2.5

b= 2.50

Thus, the cost of a taco is $1.25 and the cost of a burrito is $2.50.

If MN = 5, NO = 13, then LM = (Blank 1). (Round your answer to one decimal place, as necessary.)

Answers

Answer:

8.1 = LM

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

13 * 5 = LM^2

65 = LM^2

sqrt(65) = LM

8.06225 = LM

To one decimal place

8.1 = LM

sin(2x-pi/2)=sin pi/3

Answers

This is the answer for your question!

After two people answer one of my questions, how do I give brainlyist to one of them?

Answers

Vas happenin!
Hope your day is going well

Once two people answer your question there at the top of the question that they answer should have a crown and the words mark the Brainliest. Then it will go yellow when you mark it and it will also give you points

do what you want ok and choose

The length of a small rectangular room is "6 more than the width" and the area of the room is 27 square units. Which of the following represents the dimensions of the room?

Answers

Step-by-step explanation:

sL=6+W

A=27square

A=L×W

=(6+w) ×W

What is the measure of

Answers

Answer:

try D

Step-by-step explanation:

Tickets for the school dance are $5. At that price, 300 students go to the dance. A survey of the students shows that if the ticket price goes up by $0.50, the number of students going to the dance decreases by 30. What is the optimum ticket price?

Answers

Answer:

The optimal price should be $10 which will result in maximum revenue.

Step-by-step explanation:

y = [5+ 0.5x] [ 300 - 30x]

y = 1500 - 150x + 150x - 15x^2

y = 1500 - 15x^2

x^2 = 1500 /15

x = [tex]\sqrt{100}[/tex]

x = 10

pls help i need to finish this !!

Answers

Answer:

a

Step-by-step explanation:

it's non-linear

Step-by-step explanation:

the functions linear because as x increases by 4, y is increasing by 12 at a constant rate

Find the measure of one interior angle for the following regular polygon

Answers

To find the sum of the interior angles you use the formula (n-2)(180), where n is the number of sides. In this case, the number of sides is 12, so you get 1800 degrees. Then you divide by number of angles which is 12. So your answer is 150 degrees.

The sum of 2 consecutive integers 117 what are the integers

Answers

Answer:

58,59

Step-by-step explanation:

Let x be the first integer

x+1 be the next consecutive integer

x + x+1 = 117

2x+1 = 117

2x +1-1 =117-1

2x = 116

2x/2 = 116/2

x = 58

x+1 = 59

PLZZZZZZ HELPPPPPP!!!!!!!!!

Answers

Answer:

1 3/8 ft. tall.

Step-by-step explanation:

First, we need to find a common denominator between the two fractions.

8 is already a common denominator of 2, so convert 1/2 into 4/8.

Then add 7/8 and 4/8 to get 1 3/8 ft. tall.

Hope this helps.

If there is something wrong, just let me know.

ef is the median of trapezoid abcd (please explain the answer im so confused lol)

Answers

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

[tex]EF = ( BC + AD ) / 2[/tex]

Insert known equations.

[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]

Simplify within parentheses.

[tex]4x-18=[x+12+3x-4]/2[/tex]

[tex]4x-18=[x+3x+12-4]/2[/tex]

Add.

[tex]4x-18=[4x+8]/2[/tex]

Divide.

[tex]4x-18=2x+4[/tex]

Simplify.

[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]

[tex]2x=22[/tex]

Divide both sides by 2.

[tex]x=11[/tex]

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

[tex]BC =x+12[/tex]

[tex]BC = 11+12[/tex]

[tex]BC = 23[/tex]

-

[tex]AD = 4x-18[/tex]

[tex]AD = 4(11)-18[/tex]

[tex]AD = 44-18[/tex]

[tex]AD = 26[/tex]

-

[tex]EF = 3x-4[/tex]

[tex]EF = 3(11)-4[/tex]

[tex]EF = 33-4[/tex]

[tex]EF = 29[/tex]

Answer:

Part I: x = 11

Part II:

BC = 23AD = 26EF = 29

Which statement is true about the given function?

Answers

Answer:

it's the 3rd option

Step-by-step explanation:

f(x) 0 over the intervals (–∞ –3)

Hope it's right

2. Given the function f : x -> |x+8|, find the possible values of x when the image is 3.

Answers

Answer:

f (x)=11

Step-by-step explanation:

f (x)= x + 8

f (3)= (3 +8)

=f(x) =11

**replace the x with a variable which is 3

what function equation is represented by the graph?

Answers

Answer:

maybe f(x)= -2/3 x + 1 since it goes down two times or up two times and three times to the left or right depending where you wanna go i don't know how to explain but maybe this might help

If d= the number of dogs ,which variable expression represents the phase below? The sun of the number of dogs and the 6 cats

Answers

Answer:

d + 6

Step-by-step explanation:

Given that :

Number of dogs = d

The sum of the number of the number of dogs and 6 cats is :

This is a straightforward question :

We take the sum of d and 6

Hence, we have

d + 6

Can u help solve this

Answers

Answer:

Sure:)! the answer is-487.5

Step-by-step explanation:

1.3x3xr^31.3x3=3.93.9r^3r=55x5x5=1253.9x125=487.5

As said in the problem pie=3 as determined in the problem. Hence, the answer is 487.5

Hope this helps :)!

Step-by-step explanation:

[tex]volume = \frac{4}{3} \pi \: {r}^{3} \\ = here\pi = 3 \\ then \: v = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you[/tex]

What is the domain of the function graphed below?

Answers

Answer:

(-2,4] and [7,α)

Step-by-step explanation:

the domain is open at -2 but closed at 4 and also closed at 7 but open till infinity..

The domain of the given function is (-2,4] U [7, ∞), which is the correct option (B).

What is a piecewise function?

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = x²+1 if (-2,0]

This the sub-function define between the interval (-2,0].

f(x) = -1 if (0, 4]

This the sub-function define between the interval (0, 4].

f(x) = -(x-7)² if [7, ∞)

This the sub-function define between the interval [7, ∞).

Thus, the domain of the given function is (-2,4] U [7, ∞).

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Solve for F. Round to the nearest tenth, if necessary.
19
1389
х
Answer: =
Submit Answer
attempt 1 out of 2
PLS HELP

Answers

Answer:

24.3

Step-by-step explanation:

tan(theta) = P/B

tan(38) = 19/x

x=19/tan(38)=24.3

5. Find the measure of x and and the angle measure.
(3x - 15)
(2x + 7)

Answers

Answer:

here's the answer to your question

A transformation of AKLM results in AK'L'M'.
Which transformation maps the pre-image to the image?
O dilation
O translation
O reflection
O rotation
K
K
M
M

Answers

The transformation that maps the pre-image to the image is given as follows:

Dilation.

How to identify the transformation?

The four types of transformation listed in this problem cause these following changes:

Translation: only the position of the figure changes, the orientation, the inclination and the side lengths remain constant.Reflection: The orientation of the figure changes.Rotation: The inclination of the figure changes.Dilation: The side lengths of the figure change, while the angle measures remain constant.

From the image, we get that the side lengths were doubled, while the angle measures remained constant, meaning that the transformation is a dilation and the first option is the correct option.

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Answer:

dilation

Step-by-step explanation:

took the test

to use the Pythagorean theorem, we need

a. right triangle with 2 known angles and 1 side
b. right triangle with 2 known angles
c. right triangle with 1 known side and 1 known angle
d. right triangle with 2 known sides​

Answers

Answer:

sfygyisfislsiyitiyjhjs hjgks6skyk

Step-by-step explanation:

jzsisfyisyistoisisooots
I say its the letter c

what is a fraction between 1/31 and 1/22?​

Answers

~Fraction

__________

Step-by-step explanation:

Q = { 1/31 < x < 1/22 }

Q = { 1/30, 1/29, 1/28, 1/27, 1/26, 1/25, 1/24, 1/23 }

#mathisfun

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