Timothy invested a total of $7,500 in two accounts. One account pays 3% interest annually; the other pays 2% interest annually. At the end of the year, Timothy earned a total of $175 in interest. Write and solve a system of equations' to find how much money Timothy invested in each account.
Timothy invested ___in 3% account and ______in the 2% account

Answers

Answer 1

Answer:

Timothy invested $2500 in 3% account and $5000 in the 2% account

Step-by-step explanation:

Let the investments be x and y.

Required equations are:

x + y = 75000.03x + 0.02y = 175

Solve the system by elimination, multiply the second equation by 50 and subtract the first one:

50(0.03x) + 50(0.02y) - x - y = 50(175) - 75001.5x - x = 12500.5x = 1250x = 2500

Find the value of y:

2500 + y = 7500y = 5000

Related Questions

Write an exponential function that goes through points (0, 13) and (2,637).

Answers

Answer:

[tex]x^3[/tex]+67x+5

Step-by-step explanation:

[tex]13^3=2,197[/tex]

anything higher will surpass 2,637 so dividing 2,637 by 13=67.35 so 67x is the next number .35*13=4.55 round up to get 5 so x^3+67+5 is the answer

5³+3²=x, what is x? helphelphelp

Answers

Answer:

x=134

Step-by-step explanation:

5³ is 125 (5x5x5), and 3² is 9 (3x3)

125+9 = 134

what quadrilateral is this​

Answers

Answer:

a parallelogram

i think i spelled that right lol

Step-by-step explanation:

Answer:ParallelogramWhy is this a parallelogram?Its opposite sides are equal.Its opposite sides are parallel.Learn more:

Learn more about parallelograms: https://brainly.com/question/15837051

the perimeter of an isosceles triangle with equal side of length 4cm and third side of length 6cm will be

Answers

Answer:

14 cm

Step-by-step explanation:

1. Recognize that an isosceles triangle will have at least two equal sides. Given the wording of the problem, we can say that we have two equal sides of 4 cm and a third side of 6 cm

2. Define perimeter. The perimeter of a triangle is the length of the continuous line outlining the triangle

3. Add all three side lengths together (4 cm + 4 cm + 6 cm). This will equal 14 cm

If A(5,-4) and a scale factor of wis applied,
what is A'?

Answers

Answer:

A is B and B is C

Step-by-step explanation:

A B C D E F U

identify the correct solution to the problem 3 x 9/10

Answers

Step by step:

3 x 9/10
Turn 3 into a fraction
3/1 x 9/10
Now multiply straight across
3x9=27 and 1x10=10
So you get
27/10 or 27/10 or 2.7

This can also be completed by simply turning 9/10 into a decimal and doing
3 x 0.9 = 2.7

1+1=

Answer for 100 points please

Answers

Answer:

1 + 1 = 2

Hope this helps!

Answer:

The answer is 2

Step-by-step explanation:

Add 1+1 =2 because let's say you have 1 piece  of paper then you have 1 more piece of paper that means that you have 2 pieces of paper.

The student council sold 140 sodas for $175.00 at the fall festival. What is the cost per soda?

Answers

Answer:

$1.25

Step-by-step explanation:

Given:

The student council sold 140 sodas for $175.00 at the fall festival.

To Find:

What is the cost per soda?

Note:

To find cost per soda you have to divide Cost by number of Sodas

Solve:

$175.00/140 = 1.25

Hence, the cost per soda is $1.25

~Learn with Lenvy~

The equation of a line is y + 4 = 6x + 13 What is the value of y at the point where the line crosses the y-axis?​

Answers

Answer:

The given equation of line is

[tex] \rm \: y + 4 = 6x + 13[/tex]

This equation further can be written as

[tex] \qquad \sf \longrightarrow \:y = 6x + 13 - 4 \\ \\ \\ \qquad \sf \longrightarrow \: y = 6x + 9 - - - - (i)[/tex]

General line formula in the form can be written as

[tex]\qquad \sf \longrightarrow \:y \: = mx + b - - - - (ii)[/tex]

Point where this equation of line crosses the y-axis is

[tex]\qquad \sf \longrightarrow \:(0,b)[/tex]

On comparing the equation (i) and (ii) we obtain

[tex]\qquad \sf \longrightarrow \:(0,9)[/tex]

An article is bought and sold with a profit of 25% of selling price.find the profit percent​

Answers

Answer:33 1/3%

Step-by-step explanation:

A man plans on making a large speculative investment in a new company. There is a 20% chance that the company will lose $250,000, a 50% chance of a break even, and a 30% chance of a $150,000 profit. Based ONLY on this information, what should the man do?.

Answers

Answer:

double down invest even more

The question:"Write an expression that has two terms.The expression should have a variable and a constant. Help :')

Answers

Answer: Quite simply: 2+x

A constant is simply a number, something that does not change: here it's "2"

A variable can change: here it's "x" - anything can be substituted for x

If we put those two together with a "+" sign, we get an expression: variables or constants (including multiple ones: such as 2x, which is a term) added to each other or subtracted from each other

solve for m
13=2m+5
Thanks in advance

Answers

2m = 13 - 5

2m = 8

m = 8/2

m = 4

pfft that was easy

The ratio of cement to water is 4:1. Choose the other ways to write the ratio.

Answers

Answer:

4/1 , 4 to 1 , 4:1

Step-by-step explanation

those are the 3 ways

im stuck in this exercise ​

Answers

[tex]9m+2 \\ -(3m+8) \\ - - - - - \\ 6m - 6 \\ - - - - - [/tex]

Solution :-

[tex]9m + 2 - (3m + 8) \\ 9m + 2 - 3m - 8 \\ m(9 - 3) + (2 - 8) \\ 6m - 6[/tex]

Answer:

6m - 6

Step-by-step explanation:

9m + 2 - (3m + 8) = 9m + 2 -3m -8

= 9m - 3m + 2 - 8

= 6m - 6

when you open the brackets, -(+3m) = -3m because when a positive sign times a negative sign, you get a negative sign. so, same thing for -(+8) = -8

A store offers discounts on lunch-size chip bags when buying larger quantities. The graph below represents the total cos
in dollars, for the number of bags purchased.
ERRE
Prices
Nuncatch Who Base
What is the difference in the price per bag for 150 bags versus 50 bags?
$0.18 per bag
$0.17 per bag
$0.15 per bag
$0.05 per bag

Answers

The difference in the price per bag for 150 bags versus 50 bags is $0.05 per bag

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

From the diagram:

Price for 150 bag = $38

Cost per bag = $40 / 150 = $0.25

Also:

Price for 50 bag = $15

Cost per bag = $15 / 50 = $0.30

Difference in price = $0.30 - $0.25 = $0.05

The difference in the price per bag for 150 bags versus 50 bags is $0.05 per bag

Find out more on equation at: https://brainly.com/question/2972832

Answer:

The answer is c $0.15 per bag

If I need to write 11.7 to the nearest tenth would 10 technically right?

Answers

Answer:

yeah

Step-by-step explanation:

because its too the nearest 10th, and its 11.7

and 11.7 is < 15

so yeah!! brainliest<3?

Answer:

it would be 12

Step-by-step explanation:

because if you round it to the nearest tenth it would be 12

Suppose you owe 10 dollars to a friend. Each week you pay your friend at least 1 dollar back. Sometimes however you might pay your friend back 2 dollars in a week and other times you might pay your friend 5 dollars in a week. How many different payment sequences are possible

Answers

Answer: if you give your friend one dollar the first week you’d only owe 9 dollars left. Then the second week you play the 2 dollars, you now only owe 7 dollars. The third week comes and you give them 5, you only owe 2 dollars. Then you’d only be able to give them 2 dollars the next week, or one dollar then another one the following week. There are 4,5 different payment sequences possible.

Step-by-step explanation:

I know you probably don’t see this but i forgot to do my homework it’s due tomorrow and it’s the called “Volume Unit Study Guide” and it’s by maneuvering the Middle so if someone could like, find it or if you’ve done it could you send answers please it would help out a ton i’m offering 50 points for this!

Answers

Answer: Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Step-by-step explanation:

please help i am very stressed :(

Answers

Step-by-step explanation:

The First part is correct.

The domain is All set of inputs of a function.

We know that tangent has a period of 180.

Since our interval has a distance of 180, and tan 0 isn't 1 over root of 3, we will have only 1 domain.

So let solve the solution.

[tex] \tan(x) = \frac{1}{ \sqrt{3} } [/tex]

[tex]x = \tan {}^{ - 1} ( \frac{1}{ \sqrt{3} } ) [/tex]

30°

[tex]x = 30°[/tex]

So the domain of this function is [30°].

Part C: Tangent has a period of 180 degrees, so our solution will occur every 180 degrees.

We want full revolutions, so let use a variable, let say n to represent a interger.

Part C: The general solution is

30°+(180n)°, where n is a interger( 1,2,3.....)

Part D: The answer of tan x=1/sqr root of 3 is , in degrees, of

x∈N, 30+180n, where n is a interger.

Can someone please help me with number 6?

Answers

Step-by-step explanation:

substitute a with 2 and b with 3

2x+3

because it's the same equation it should just be an equal sign.

Answer:

Simplifying

ax + b = 2x + 3

Reorder the terms:

ax + b = 3 + 2x

Solving

ax + b = 3 + 2x

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1b' to each side of the equation.

ax + b + -1b = 3 + -1b + 2x

Combine like terms: b + -1b = 0

ax + 0 = 3 + -1b + 2x

ax = 3 + -1b + 2x

Divide each side by 'x'.

a = 3x-1 + -1bx-1 + 2

Simplifying

a = 3x-1 + -1bx-1 + 2

Reorder the terms:

a = 2 + -1bx-1 + 3x-1


A boy has a 17-decimetre yellow string and a 44-decimetre
blue string. How much longer is the blue string than the
yellow string?

Answers

Answer:

44 (decimetre blue string) - 17 (decimetre yellow string)

= 27 decimetres

Subtract the shortest length from the largest length to figure out the distance between the two lengths.

Answer:

27-Decimetres

Step-by-step explanation:

You have to subtract since it asked "how much longer." Thats a key word for you to understand whether to subtract, add, multiply, and divide!

Hope this helps :)

Which expression is equivalent to (3a)–2? startfraction 1 over 9 a squared endfraction startfraction 1 over 3 a squared endfraction startfraction 3 over a squared endfraction startfraction 9 over a squared endfraction

Answers

The expression that is equivalent to [tex](3a)^{-2}[/tex] is [tex]\frac{1}{9a^{2} }[/tex].

Given expression is [tex](3a)^{-2}[/tex]

How to write a⁻ⁿ in simple form?

[tex]a^{-n} =\frac{1}{a^{n} }[/tex]

So, the given expression [tex](3a)^{-2}[/tex]can be written as [tex]\frac{1}{(3a)^{2} }[/tex]

[tex]\frac{1}{(3a)^{2} }= \frac{1}{3a*3a} =\frac{1}{9a^{2} }[/tex]

Therefore, the expression that is equivalent to [tex](3a)^{-2}[/tex] is [tex]\frac{1}{9a^{2} }[/tex].

To get more about exponents visit:

https://brainly.com/question/147770

Answer:

A

Step-by-step explanation:

StartFraction 1 Over 9 a squared EndFraction or 1/9a^2 looks something like that :) hopefully it helps

Which describes the horizontal cross section of the given right rectangular prism? A. A rectangle with dimensions of 15 inches and 16 inches. B. A rectangle with dimensions of 15 inches and 7 inches. C. A rectangle with dimensions of 9 inches and 15 inches. D. A rectangle with dimensions of 9 inches and 7 inches.

Answers

The horizontal cross section of the given right rectangular prism is a rectangle with dimensions of 9 inches and 7 inches. (Choice D)

How to find the dimensions of the horizontal cross section

The horizontal cross section is parallel to the base of the right rectangular prism, whose dimensions are 9 inches and 7 inches, respectively. Thus, the horizontal cross section of the given right rectangular prism is a rectangle with dimensions of 9 inches and 7 inches. (Choice D) [tex]\blacksquare[/tex]

Remark

The figure is missing. We included the missing figure below.

To learn more on prisms, we kindly invite to check this verified question:  https://brainly.com/question/318504

someone help me with this please i need this badly

Answers

Answer:

Step-by-step explanation:

correct answer is (a^3) / 8

-x+2y=8

How do I put this into slope-intercept form???

If you can please show your work!

Answers

Answer:

[tex]\mathrm{slope\:intercept\:form:\:y = \dfrac{ 1 }{ 2 } x+4}[/tex]

Step-by-step explanation:

To change the equation into slope-intercept form, we write it in the form y=mx+b

So this means that we have to solve for "y" in the equation "-x + 2y = 8"

−x + 2y = 8

Step 1: Add x to both sides

2y = 8 + x

Step 2: Now the equation is in standard form

2y = x + 8

Step 3: Divide both sides by 2

[tex]\mathrm{\dfrac{ 2y }{ 2 } = \dfrac{ x+8 }{ 2 }}[/tex]

Step 4: Dividing by 2 undoes the multiplication by 2

[tex]\mathrm{y = \dfrac{ 1 }{ 2 } x+4}[/tex]

mary has 30 nickels and dimes totaling $2.40. how many of each does she have?

Answers

Answer:

Nickels; 5 cents

Dimes; 10 cents

Given that she has 30 nickels:

30(nickels) x 5(a single nickel) = $1.50

2.40 - 1.50 = $0.90, those 90 cents leftovers should then be divided by 10 cents because one dime contains 10 cents and you want to figure out how many dimes there are:

90/10 = there are 9 dimes

If a unit price label has a unit price of 13. 5 cents per ounce, how much is the total price for a 24 ounce package? a. $0. 32 b. $0. 56 c. $1. 78 d. $3. 24.

Answers

Answer: d. $3.24

Step-by-step explanation:

13.5 cents = 1 ounce

24 ounce= 13.5x24

I NEED HELP!
Here, Find the exact volume of the cylinder.

Please?
Thanks!
~

Answers

Answer:

volume of cylinder: [tex]\sf 396\pi \ m^3[/tex]

Explanation:

[tex]\sf volume \ of \ cylinder =\pi r^2h[/tex]

given:

radius: 6 mheight: 11 m

solve:

[tex]\hookrightarrow \sf \pi r^2h[/tex]

[tex]\hookrightarrow \ \sf \pi (6)^2(11)[/tex]

exact:

[tex]\hookrightarrow \ \sf 396 \pi[/tex]

in nearest tenth:

[tex]\hookrightarrow \ \sf 1244.1 \ m^3[/tex]

A rectangle has a length of 3x-5 and a width of 2x+9.

a. Write an expression for the perimeter of the rectangle.

b. Write an expression for the area of the rectangle.

Answers

Step-by-step explanation:

l = 3x - 5

w = 2x + 9

perimeter = 2l + 2w = 2(3x - 5) + 2(2x + 9) =

= 6x - 10 + 4x + 18 = 10x + 8

area = l×w = (3x - 5)(2x + 9) = 6x² + 27x - 10x - 45 =

= 6x² + 17x - 45

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