Mathematics High School

Helene invested a total of $1,000 in two simple-interest bank accounts. One account paid 8% annual interest; the other paid 9% annual interest. The total amount of interest she earned after one year was $86. Enter and solve a system of equations to find the amount invested in each account. Enter the interest rates in order as given in the problem. (Hint: Change the interest rates into decimals first.)
at 9%.

Answers

Answer 1

Answer: -600 and 1600 were invested into the two accounts.

Step-by-step explanation:

x = amount invested in the first account.

y = amount invested in the second account.

You start off with this equation

[tex]x + y = 1000[/tex]

[tex]0.08x + 0.09y=86[/tex]

Subtract both sides by y.

[tex]x=1000-y[/tex]

Subsitude 1000 - x for x for the second equation.

[tex]0.08(1000-y)+0.09y=$86[/tex]

Use the distributive property to solve for y.

[tex]80-0.08y+0.09y=86[/tex]

[tex]80-0.01y=86[/tex]

[tex]6=-0.01y[/tex]

[tex]=-600[/tex]

Subsitude -600 for y in the first equation and solve for x.

[tex]x-600=1000[/tex]

[tex]x=1600[/tex]

-600 and 1600 were invested into the two accounts.

Related Questions

Anybody know the answer to 4x + 9 + 11x - 61

Answers

Answer:

15x - 52

Step-by-step explanation:

Hi,

All you have to do is combine like terms. 4x + 11x is 15x. 9 + (-61) is simply -52.

Hope this helps :)

Answer:

15x-52

Step-by-step explanation:

Which of the following statements is incorrect?
19
A. sin 25°
10
19
B.
cos 25°
TI
C. cos 25°
19
D.
tan 25

Answers

Answer:

A

Step-by-step explanation:

sin x° = opposite/Hypotenuse

D is the wrong one in this problem

Margaret asked her classmates how many pets they own. The responses are recorded in the table.
Find the P(owning no pets). Express your answer as a fraction.

Answers

16/23 would be the answer

Help!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer and Step-by-step explanation:

0 to the power of 4 is 0.

#teamtrees #PAW (Plant And Water)

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (3 x) degrees. Measure of angle C = (4 x) degrees. Which statement is true about the angles? Measure of angle A = 20 degrees Measure of angle B = 60 degrees Angle A and Angle B are complementary Measure of angle A + measure of angle C = 100 degrees

Answers

Step-by-step explanation:

step 1. 2x + 3x + 4x = 180° internal triangle angles add up to 180°

step 2. 9x = 180 or x = 20

step 3. <A = 2x = 2(20) = 40°

step 4. <B = 3x = 3(20) = 60°

step 5. <C = 4x = 4(20) = 80°.

Answer:

I think its A correct me if wrong

step-by-step explanation:

Answer All 5 and I will give you brainliest

Answers

Answer: Number 1 is B  Number 2 is D Number 3 is C  Number 4 is D Number 5 is A

Step-by-step explanation:

Please help
Write an equation to represent the number of trips Tanya will make based on the number of customer tables.

Answers

Answer:

8 trips

Step-by-step explanation:

she will be making 8 trips to each table 8x8=64     9x8=72 and so on


[tex]x - 9 = \frac{3}{5}x[/tex]
please explain how you got the answer ​

Answers

x - 9 = 3/5x
*multiply by 5*
5x - 45 = 3x
2x = 45
x = 45/2
x = 22,5
The answer the person gave u is right

Trudy is making punch by mixing 1 can of
concentrated juice with 3 cans of water.
Which of the following combinations
shows the same ratio of juice to water?
A 2 cups of juice to 3 cups of water
B 2 cups of juice to 6 cups of water
C 2 cups of juice to 9 cups of water
D 3 cups of juice to 6 cups of water

Answers

Answer:

a i think if not im sorry

Step-by-step explanation:

please answer if you know

Answers

Answer: (1,-5)

Step-by-step explanation:

Substitute x and y with (1,-5).

-5=1-6.

Hope this helps :)

School is Cool. The ORH ASB wants to determine if their efforts at increasing school spirit have been
successful. Kenny, Katrina and Sally conduct a survey where they take an SRS of 250 students at the
school and ask them if they have more school spirit now than at the beginning of the school year. Of the
250 surveyed, 91 of them said they did. Does this provide strong evidence that more than a third of the
students are more spirited now than they were at the beginning of the year?

Answers

Answer:Yes I believe it does use strong evidence. Hope this helps

Step-by-step explanation:

help me now this is so hard​

Answers

Answer:

what is the question?

Step-by-step explanation:

uhh ok

What is -2+0+y when y=15

Answers

Answer:

17

Step-by-step explanation:

y + 0 - 2 = 15

y - 2 = 15

y - 2 + 2 = 15 + 2

y = 17

4/9 x 3/8 =

help please ​

Answers

Answer:

1/6

Step-by-step explanation:

Answer:

0.16666666

repeated

or≈0.17

Step-by-step explanation:

Provide a visual of 12 to 36. Please circle the groups in order to indicate the ratio 12/36.

(how do i provide one?)

Answers

Answer: take a picture of the work please

Step-by-step explanation:

So what you do is take the 12 and add it to the 36 = ???

Determine the value of angle D in parallelogram ABCD​

Answers

Answer:

61°

Step-by-step explanation:

Opposite angles in parallelogram are congruent:

6x - 17 = 4x + 96x - 4x = 9 + 172x = 26x = 13

m∠D = 6*13° - 17° = 61°

Answer:

[tex]m\angle D = 61\textdegree[/tex]

Step-by-step explanation:

In a parallelogram, opposite angles are congruent, so they have the same measure by the definition of congruence. Therefore, [tex]\angle B \cong \angle D[/tex], so [tex]m\angle B = m\angle D[/tex]. We are given the measures of these two angles, so we can write the following equation to solve for [tex]x[/tex]:

[tex]4x+9=6x-17[/tex]

Solving for [tex]x[/tex], we get:

[tex]4x+9=6x-17[/tex]

[tex]-2x+9=-17[/tex] (Subtract [tex]6x[/tex] from both sides of the equation)

[tex]-2x=-26[/tex] (Subtract [tex]9[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]x=13[/tex] (Divide both sides of the equation to get rid of [tex]x[/tex]'s coefficient)

Therefore, [tex]m\angle D = 6x-17=6*13-17=78-17=61\textdegree[/tex].

Hope this helps!

in algebra, we use a(n) to represesent a veriable

Answers

Answer:

Are you Algebra 1 or 2?

Step-by-step explanation:

yeahhh vgggrfsdtgbvv

Hey! I really need help with this please ASAP!! HELP SOON!!

Answers

about 14.2 have a great day
So it looks like pythagorean theorem if so that would be your answer

© Angela is following this recipe to make biscuits.
Angela uses 2.2 L of syrup.
How much sugar is needed in kg?
Recipe: Makes 14 biscuits
110 g margarine
220 g sugar
275 mL syrup
200 g oats
40 g sultanas

Answers

syrup : margarine = 225:180 =5:4 ratio so
5:4 :: 2.7:x
so the value of x is
(2.7×5)÷4
=3.375
so the ans will be 3.375

find the equation of the line..

y= x+

khan academy

Answers

Answer:

y = -3x+7

Step-by-step explanation:

i hope this helps :)

7x - 2 (x + 1) + 18 = 8x - 11 what is the value of x

Answers

Answer:

x=9

Step-by-step explanation:

i hope this helps :)

I need Help finding the surface area of this composite figure please help URGENTTT !!

Answers

Answer:

4608

Step-by-step explanation:

4x4x4x6x12

WILL GIVE BRAINLIEST! PLS HELP!

Answers

Answer:

cosine i think tell me if im wrong

Step-by-step explanation:

The answer is C. tangent because the two points your solving for are opposite and adjacent angles therefore you’d begin to solve O/A. You could immediately cancel out the choices tan and sin since there’s no point for the hypotenuse

i need help on this please .

Answers

Answer

the top one on the right

Step-by-step explanation:

What is c divided by 22?

Answers

Answer:

11

Step-by-step explanation:

looked it up because I have no Idea lol

The mathematical expression is,

⇒ c ÷ 22

⇒ c / 22

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ c is divided by 22.

Now, We can simplify the expression as;

⇒ c ÷ 22

⇒ c / 22

Thus, The mathematical expression is,

⇒ c ÷ 22

⇒ c / 22

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Which statements are true about the area of a circle? Check all that apply.

Answers

Answer:

B, D, E

Step-by-step explanation:

Area = πr²

The area formula can be found by breaking apart the circle and forming a parallelogram.

The area of a circle is in square units.

What is n in the equation? 16 = 8 n​

Answers

Answer:

n = 2

Step-by-step explanation:

16 = 8n

divide by 2 on both sides

2 = n

n equals 2

Answer: n = 2

Step-by-step explanation:

Switch sides:

8n =16

Divide both sides by 8:

8n/8 = 16/8

Simplify:

n =2

Does anybody know the answer to all of these?

Answers

Answer:10

Step-by-step explanation:

2+4+6+6+9+13+30=70

70 divided by 7= the mean should be 10

Answer:

the mode is 6 the median is also 6 the range is 28 the mean is 10

Step-by-step explanation:

Please hurry!!!
Find m_c. Round the answer to the nearest hundredth.
A. 0.85°
B. 41.11°
C. 48.89°
D. undefined

Answers

Answer:

Sine = Opposite/Hypotenuse

Sine^-1 = 55/73

Angle = 48.89

Let me know if this helps!

I don’t understand this question. If anyone could help, it’ll be great! :) picture is above

Answers

Answer:

I probably think the qns is no A

Answer:

A

Step-by-step explanation:

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