Mathematics High School

Larry invested part of his $11,000 advance at 2% annual simple interest and the rest at 4%. If his total yearly interest from both accounts was $260 find the amount invested at each rate.

Answers

Answer 1

Answer:

[tex]Amount\ at\ 2 \%=9000[/tex]

[tex]Amount\ at\ 4\% =2000[/tex]

Step-by-step explanation:

From the question we are told that

Principle [tex]P=1000[/tex]

Rate 1 [tex]r_1=2\%[/tex]

Rate 1 [tex]r_2=4\%[/tex]

Total Interest [tex]I=\% 260[/tex]

Let

Amount at [tex]2 \%=x[/tex]

Amount at [tex]4\% =11000-x[/tex]

Generally the equation for the simple interest is mathematically given as

[tex]\frac{x*2*1}{100} +\frac{(11000-x)*4*1)}{100} =260[/tex]

[tex]2x+44000-4x=26000[/tex]

[tex]2x-4x=26000-44000\\[/tex]

[tex]2x=18000[/tex]

[tex]x=9000[/tex]

[tex]Amount\ at\ 2 \%=9000[/tex]

Therefore

Amount at  [tex]4\% =11000-x[/tex]

Amount at  [tex]4\% =11000-9000[/tex]

[tex]Amount\ at\ 4\% =2000[/tex]

Related Questions

Pleasee helpp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 146º

Step-by-step explanation:

the sum of two angles on the same side is 180º

x + 34º = 180º                subtract 34º from both sides

x = 146º

A scientist records a jackrabbit
traveling 140 m in 7 s.

Answers

Answer:

20 m/s, if that's what your asking.

Step-by-step explanation:

Answer:

20m/s

Step-by-step explanation:

Distance= 140m

Time = 7s

Speed = 140/ 7= 20m/s

(If ur asking speed) if not pls delete my answer

Which of the following are integer solutions to the inequality below?
−4 ≤ x < 2

Answers

Answer:

x = 0

x = ±1

x = -2

x = -3

x = -4

Step-by-step explanation:

Use number line to find the values of x that fit the equation.

does anyone know the answer??

Answers

Ghhikdjdjndkkdkdmddjs hdduuusuid dhshsjjss d

Answer:

5 minutes

Step-by-step explanation:

150-50=100

100/20=5

Indicate whether the following question is a statistical question. Explain why or why not.
How much does Susan’s dog weigh?

Answers

It’s a question because there is not value of time.

Which expressions show the volume and the surface area of this cube-shaped packing box?

A cube with a dimension of 1 and five-eighths feet.

Answers

Answer and Step-by-step explanation:

The bottom right answer choice is the answer.

To find the volume, you do (length × width × height)

And to get the surface area, you do [tex]6(x)^{3}[/tex]

We just have to plug 1 [tex]\frac{5}{8}[/tex]

Where did they get [tex]\frac{13}{8}[/tex]?

They made the mixed fraction into a fraction by multiply 8 by 1, then adding that product to 5.

Which leads us to the answer choice being the bottom right.

#teamtrees #WAP (Water And Plant)

Answer:

D. V = (13/8)³ ft³, SA = 6(13/8)² ft²

Step-by-step explanation:

Volume of the cube:

V = a³

Surface area of the cube:

SA = 6a²

Given cube has side of 1 5/8 feet = 13/8 feet

Substitute the value of a:

V = (13/8)³ ft³SA = 6(13/8)² ft²

Correct option is D

A rectangle has sides of length 8cm and 3.2cm. Calculate the angle between the diagonal and a shorter side.

Answers

Answer:

The angle is 68.2 degrees

Step-by-step explanation:

Let us have the shorter side as the width

In that case, the opposite will be the length which is 8 cm

The diagonal is the hypotenuse

The short side is the adjacent

The trigonometric ratio that links the opposite and the adjacent is the tan

tan of an angle is the ratio of its opposite to the adjacent

In this case,

tan theta = 8/3.2

theta = arc tan (8/3.2)

theta = 68.2 degrees

factor 63q + 49 write your answer as a product greater than 1.​

Answers

Answer:

7(9q+7)

Step-by-step explanation:

Hopefully this is helpful to you!

Which is the odd one out
180
45
79
270 please help me!

Answers

Answer:

79

Step-by-step explanation:  2 4 6 8 are even numbers 1 3 5 7 9 are odds and 79 it the only one that is a odd number

When a moving object collides with an object that isn’t moving, what happens to the kinetic energy of each object?

Answers

the kinetic energy transfers from the moving ball to the non-moving ball.

What is y??? Pls help meeee I don’t understand how to do it

Answers

Answer:

what do you want the slope? The y cordinate is where the points are on the y axis.

Step-by-step explanation:

the slope needs to be included

please help due tomorrow

Answers

Answer:

We need to solve this system of equations by substitution:

-6x-2y =20

3y=x

Yu can do it with the letter you decide

You can get the x from the second equation and replace in the first:

3y = x

-6x - 2y = 20 -> -6(3y) - 2y = 20 --> -18y - 2y = 20 --> y=-1

Then we can replace in the second one:

3*(-1) = x ---> -3 = x

So the answer is x = -3, y = -1

x=-3 and y=-1
Solved by substitution method:

Allister's father is 120% of Allister's height. If his father measures 180 cm, how tall is Allister?

Answers

Answer:

1.2*a=180

a=180/1.2

a=150 cm

Step-by-step explanation:

Answer:

a=180

Step-by-step explanation:

PLs answer correctly will mark brainliest, 40 points

Answers

Answer:

A, C, A

Step-by-step explanation:

Use properties

(mᵃ)ᵇ = mᵃᵇmᵃ*mᵇ = mᵃ⁺ᵇ

10.

(-t⁴)³ = -t⁴ˣ³ = -t¹²Option A

11.

(t⁸)² = t⁸ˣ² = t¹⁶Option C

12.

(x⁻³)⁻⁵x⁶ = x⁽⁻³⁾ˣ⁽⁻⁵⁾x⁶ = x¹⁵x⁶ = x¹⁵⁺⁶ = x²¹Option A

-19m give three like terms fast pleaseeeee

Answers

Answer:

❓❓❓❓❓❓❓

Step-by-step explanation:

what's this I can't understand

please write complete question.....

So,I can understand

Find the inverse of the function. Is the inverse a function? f(x) = (x − 2)2

Answers

Answer:

[tex]f^{-1}(x)=\sqrt{x}+2[/tex]

Step-by-step explanation:

Given function is,

f(x) = (x - 2)²

Step - 1

Rewrite the function in the form of a equation.

y = (x - 2)²

Step - 2

Interchange the variables 'x' and 'y',

x = (y - 2)²

Step - 3

Solve the equation for y,

x = (y - 2)²

y - 2 = √x

y = 2 + √x

Step - 4

Rewrite the equation in the form of a function,

[tex]f^{-1}(x)=\sqrt{x}+2[/tex]

Nathan and Matt plan to paint a house. If Nathan works alone, it will take
10 days. If Matt works alone, it will take 15 days. How many days will it
take to finish the job if they work together?

Answers

Nathan= 1/10 of the job per day

Matt= 1/15 of the job per day

3/30 + 2/30. =5/30

1/(5/30) = 30/5. Or 6 days for both working together.

Solve for x. (5x) (3x + 28)​

Answers

X is 15 since 5 times 3 is 15

The answer is 15 because of math and calculator

Enter the equation in standard form.

y-5= 3/7(x-7)

Answers

Answer:

x=7(y-5)/3 +7

Step-by-step explanation:

y-5=3(x-7)/7

(y-5)×7=3(x-7)

7(x-7)=3(x-7)

7(y-5)/3=x-7

7(y-5)/3+7=x

ILL GIVE YOU BRAINLYIST

Answers

Answer:

rectangle

Step-by-step explanation:

thank u

Need help ASAP

A.) (3,3)
B.) (9,3)
C.) (6,6)
D.) (7,5)

Answers

Answer:

b

Step-by-step explanation:

D. To calculate you connect the tale of a vector to the tip of the other, doing so you get (7,5)

Write a function rule for the table.

Answers

I think this would be C because the cost to rent a car for each day would be 23

Answer:

Option C - c= 23d+11

Step-by-step explanation:

Days are assumed as "d" and cost is assumed as "c".

34 = 23(1)+1157 = 23(2)+1180 = 23(3)+11103 = 23(4)+11

So the option is C.

Hope this helps you.

What is the slope :( help

Answers

Answer:400

Step-by-step explanation

in order to find slope you put the change in y over the change in x, y gains 1200 units while x gains 3 units, this means we get 1200/3 and we can simplify it to 400

Answer:

400

Step-by-step explanation:

We can use the formula [tex]\frac{rise}{run}[/tex] to find slope!

So first we find points on the graph. The first point we see is 600. The second point we see is 1,400. Next, we find the rising distance between 1,400 and 600 which is 800. Now we look at the running distance which is 2. Now we plug it into the [tex]\frac{rise}{run}[/tex] formula.

The formula should now look like this:

[tex]\frac{rise}{run}\\[/tex] = [tex]\frac{800}{2}[/tex]

[tex]\frac{800}{2}[/tex] = 400

So the slope is 400

I hope this helped you! (If you can would you mark me as brainliest I would really appreciate it!)

Sincerely,

Rekifromsk8theinfinity

:D


10(-9 +(-16)) =
??????​

Answers

Answer:

-250

Step-by-step explanation:

10(-9-16)

10(-25)

-250

Answer:

10(-9-16)=10(-25)

=10-25

=-15

If I have 14 pencils that I bring to school and give away 5 of them to a couple of friends, how many pencils will I have left?

Answers

Answer:

9 pencils left

Step-by-step explanation:

Answer:9 pencils that you have

Step-by-step explanation:don't have one did it in my head

John want to buy a pair of boots that originally cost $85.99 He found a coupon for %30 off what will he pay for the boots?

Answers

Answer:

$60.19

1.) 85.99 x 0.30

2.) 25.797 - 85.99

3.) 60.193

4.) round

$60.19

Hope this helped!

Answer:

John is paying $60.19 for the boots after 30%off.

Step-by-step explanation:

$60.193 or $60.19

Find the constant of proportionality. what is the percent decrease? the input is 20 and the output is 16. I’ve been stuck on this problem for a long time please help!

Answers

Answer:

80%

Step-by-step explanation:

Plz help meeee !!!!!

Answers

I say that it is A because I did this did this before

how many minutes does it take ​

Answers

Answer:

it takes 5 min to make one sculpture

and 30.8 ballons

Step-by-step explanation:

hape this helps

Solve the simulataneous equations. 5x-4y=19 x+2y=8

Answers

Answer:

(5, 1.5 )

Step-by-step explanation:

Given the 2 equations

5x - 4y = 19 → (1)

x + 2y = 8 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the y- term

2x + 4y = 16 → (3)

Add (1) and (3) term by term to eliminate y

7x + 0 = 35

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + 2y = 8 ( subtract 5 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

solution is (5, 1.5 )

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