Katie invested a total of ​$4000​, part at 2​% simple interest and part at 3​% simple interest. At the end of 1​ year, the investments had earned ​$90 interest. How much was invested at each​ rate?

Answers

Answer 1

Answer:

$3000

$1000

Step-by-step explanation:

the formula for simple interest = principal x time x interest rate

let the amount invested in the 2% investment be a

let the amount invested in the 3% investment be (4000 - a)

(a x 0.02 x 1) + ([4000 - a] x 0.03 x 1) = $90

0.02a + 120 - 0.03a = 90

Collect like terms and solve for a

0.01a = 30

a = $3000

The amount invested in the 3% investment be (4000 - a)  = $4000 - $3000 = $1000


Related Questions

Which graph has a slope of -3?

Answers

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

My last one please help me

Answers

Answer:

Step-by-step explanation:

Only D has a chance of being correct. 7x means you multiply 7 and whatever x is together.

A and B look like they are added.

C looks like some sort of subtraction has taken place.

D: - 1 * 7 = - 7

4*7 = 28

5*7 = 35

Please help me! Please and thank you!

Answers

Answer:

4m+0.50

Step-by-step explanation:

A sporting goods store sold 2.5 times as many footballs as basketballs last year. Drag to represent the number of footballs sold for every 2 basketball sold

Answers

Answer:

5 units of football

Step-by-step explanation:

Given that :

2.5 times as many footballs as basket balls is sold;

This means that ; for every unit of basketball sold 2.5 times that unit is the number of football sold ;

Hence, for every 2 basket balls sold, the number of units of football sold is ;

2 * 2.5 = 5 units

Segments DE and AB are parallel

Answers

Answer:

yes segment DE and AB are parallel

Answer:

CB = (CE*AC)/CD

Which agrees with the second answer listed

Step-by-step explanation:

We use the proportion among similar triangles:

CE/CD = CB/AC

and solve for CB:

CB = (CE*AC)/CD

Which agrees with the second answer listed

please help me answer all of these ​

Answers

Answer:

y int:(0,8)

x int:-2&4

vertex:(1,9)

max y=9

axis of symetry x=1

domain: all real number

range: y less than or equal to 9

How do you Convert fractions to a decimal

Answers

When converting fractions to decimals you divide the numerator by the denominator to get your result

For each 11 mm of coloured fabric June uses to make her curtains, she also uses 1 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form

Answers

Answer:  The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]

Step-by-step explanation:

Given :

Amount of coloured fabric used by June = 11 mm = 1.1 cm    (1 mm=0.1 cm)

Amount of white fabric used by June = 1 cm

To find : amount of white fabric to coloured fabric as a ratio in its simplest form

To find the ratio in simplest form , the units of both measurements should be same

Thus [tex]\frac{\text {amount of white fabric}}{\text {amount of coloured fabric}}=\frac{1cm}{1.1cm}=\frac{10}{11}[/tex]

The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]

A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?

Answers

Answer:

point slope form: y - 1 = 4 (x -2)

slope intercept form: y = 4x -7

Step-by-step explanation:

If you want it in point slope form it would be: y - 1 = 4 (x -2)

but if you want it in slope intercept form, you solve this equation

y -1 = 4 (x-2)

y-1 = 4x -8

 +1          +1

y = 4x -7 in slope intercept form

Under his cell phone plan Jason pays a flat cost of $60.50 per month and four dollars per gigabyte he wants to keep his bill at $68.90 per month how many gigabytes of data can use while staying within his budget

Answers

Answer:

2 gigabytes of data

Step-by-step explanation:

Given

Amount Jason keeps per month = $68.90

Cost of flat per month = $60.50

Balance for data = 68.90-60.50

Balance for data = $8.40

If 1Gigabyte = $4

x = $8.40

Cross multiply

4x = 8.40

x = 8.40/2

x = 2.20

Hence Jason can only use 2 gigabytes of data while staying within his budget

Answer:

2.1 gigabytes

Step-by-step explanation:

DELTA MATH

Expression of "three fifths of a number b subtracted from thrice the same number" into mathematical symbol

Answers

Answer:

3b - [tex]\frac{3}{5}[/tex] b  

Step-by-step explanation:

Let the number be "b"

So the expression would be:

3b - [tex]\frac{3}{5}[/tex] b  

Mackenzie practices the piano 609 minutes in 3 weeks. At what rate did she practice, in minutes per day?​

Answers

Answer:

the answer is 29

Step-by-step explanation:

good luck! <33

Answer:

The answer is  203

Step-by-step explanation:

 I  started off by dividing 609 by 3 and your answer is on the top. You're welcome!!

QUICK WRITE A SHORT FICTION SOTRY 10 SENTENCES LONG IT CAN BE ABOUT ANYTHING

Answers

Answer:

One day Bob asked him mom if she could buy him a Ps5. She replied "No Bob, if you really want it you have to buy it yourself. And don't you already have that PlayStation 2 your grandma gave you?" After Bob heard that he ran out of the house to go find a job. He ran up to Mc Donald's and saw that they don't hire 15 year old's. Sadly he walked away. Then he ran up to Burger King they don't hire 15 year old's either. Then h realized he could deliver newspaper on his bike. So he went home told his mom and she was happy when he told her his idea.  The next morning he set out to his new job. As he got there he realized he didn't eat breakfast but that was fine he wasn't hungry he was to happy to think about anything else but that new Ps5. He got the newspapers and started going. After he delivered 27 newspapers it started getting dark so he went home. The next day went just like the first but he actually ate breakfast. Weeks went by throwing newspapers cycling, throwing newspapers cycling, throwing newspapers cycling. After 3 months he got his paycheck, just enough for the Ps5! Happily he went to the bank cashed it out and biked to target. He parked his bike ran into target into the electronics aisle scanning for the new Ps5.  Then the worker asked him politely "What are you looking for?" "A Ps5." He responded quickly. "Oh.." The worker said "Were sold out..."

Step-by-step explanation:

     May I have brainiest pls I'm trying to level up!

                               </3 PureBeauty

Choose the graph that is represented by the function:


y=- 63/4x2 + x4 - 4




Select one:

a. D

b. B

c. C

d. A

Answers

Answer:

is a. D.

Step-by-step explanation:

I hope you serve my answer and goodluck ^^

Students were asked to choose their favorite food.
If 4/10 the students chose pizza and 4/10 chose tacos,
what fraction chose either pizza or tacos?

Answers

Answer:

4/5

Step-by-step explanation:

Simply add the two fractions together

4/10 + 4/10 = 8/10

Then simplify

8/10 = 4/5

4/5 students chose either pizza or tacos

The cost of a jacket was originally 40$ It was on sale for 20% how much did they save

Answers

Answer:

$9

Step-by-step explanation:

In this circumstance, 20% off is the original number (40) divided by 5, and that's the answer. I hope this helps!

Answer: They saved $8

Step-by-step explanation:

0.20 × $40 = $8.00


The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?

Answers

width=17m

length= 31m

Step-by-step explanation:

width = x

length= x+14

perimeter = 96m

2(x+x+14)=96

4x+28=96

4x=68

x=17

width=17m

length= 31m

Mr. Garcia has been asked to give 6 desks to Mrs. Johnson. He needs to keep at least 17 desks for his students. He created a model to find x, the number of desks he must have in order to give 6 desks to Mrs. Johnson. Which inequality represents the model for this situation?

Answers

Answer:

The inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].

Step-by-step explanation:

Let Mr. Garcia has [tex]x[/tex] number of desks initially.

He has been asked to give [tex]6[/tex] desks to Mrs. Johnson.

Also, he needs to keep at least [tex]17[/tex] desks for his students.

So, after giving [tex]6[/tex] desks to Mrs. Johnson from the total number of desks he has, he must have at least [tex]17[/tex] desks for his students.

Therefore, the inequality is: [tex]x-6\geq 17[/tex].

Hence, the inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].

A parabola can be drawn given a focus of (6,-2)and a directrix of x = -−3. What can be said about the parabola?

Answers

Answer:4

Step-by-step explanation:

6,-2=x-3=4

Somebody pls answer this fast!!!!

A new novel is 540 pages. Emily has read 192 pages in 6 hours. Maria has read 170 pages in 5 hours.

a. Who reads​ faster, Emily or Maria​?

b. How long will it take Maria to read the entire novel at her current​ rate?

Answers

Answer:

maria reads faster (34 pages in a hour compared to 32) and might finish around 15.88 hours

Step-by-step explanation:

i dont think the second part is right

Solve the equation 2/3(6x-3/2) = 3 - x Options: (A x=1) (B x = 1 1/4) (C x = 4/5) (D x =2/5)

Answers

Answer:

C x=4/5

Step-by-step explanation:

for the function h(x) = 4x2 -5x what is the value of (-3)

Answers

Answer:

h(-3) = 51

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

h(x) = 4x² - 5x

h(-3) is x = -3

Step 2: Evaluate

Substitute in x:                     h(-3) = 4(-3)² - 5(-3)Exponents:                           h(-3) = 4(9) - 5(-3)Multiply:                                h(-3) = 36 + 15Add:                                      h(-3) = 51

Answer:

f(-3) = 51

Step-by-step explanation:

f(x) = 4x^2 - 5x

f(-3) = 4(-3)^2 - 5(-3)

f(-3) = 4*9 - (-15)

f(-3) = 36 + 15

f(-3) = 51

What happens to a figure that is dilated by a factor of ½ .

Answers

Answer:

i really dont know

Step-by-step explanation:

I need serious help, this is hard

Answers

Answer:  58

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

Explanation:

M is the midpoint of segment PQ. This means PQ is cut in half into two equal smaller pieces PM and MQ. We can say that PM = MQ.

Furthermore, we can say that PQ is twice as long as either piece, so

PQ = 2*PMPQ = 2*MQ

We'll use the second equation to say the following:

PQ = 2*MQ

6x+56 = 2*MQ .... replace PQ with 6x+56

6x+56 = 2*(5x+8) .... replace MQ with 5x+8

6x+56 = 2*5x + 2*8 .... distribute

6x+56 = 10x+16

6x+56-10x = 16 .... subtract 10x from both sides

-4x+56 = 16

-4x = 16-56 ..... subtract 56 from both sides

-4x = -40

x = -40/(-4) ..... divide both sides by -4

x = 10

Once we know the value of x, we use it to find the length of PM

PM = MQ

PM = 5x+8

PM = 5*10+8

PM = 50+8

PM = 58

Note how PQ = 6x+56 = 6*10+56 = 116 is exactly twice as large compared to 58. In other words, 2*58 = 116. This confirms that PQ is twice as long compared to PM or MQ. This helps confirm we have the right answer.

When is the slope intercept form only y= mx and not y = mx+b?

Answers

Answer:

No Y-Intercept

Step-by-step explanation:

The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.

OK I KNOW I HAVE ASK MORE THAN ONE QUESTION BUT PLZ HELP You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for MEDICARE TAX for this pay period was $
Blank.

Answers

tax is 204 with shipping

(3^5)^2/3^-2

Simplify please

Answers

Answer:

531441

Hope this was helpful

Answer: 531441

Step-by-step explanation:

3⁵*²/3⁻²=3¹⁰/3⁻²=3¹⁰⁻⁽⁻²⁾=3¹⁰⁺²=3¹²=531441

I GIVE BRAINLIEST MARKS I SWEAR rational functions, construct table values and sketch the graph of rational functions

Answers

Answer:

Download math)way it helps I swear

Step-by-step explanation:

Answer:Hope this is rght I only can answer the first

one.

Step-by-step explanation:

1. A book has x pages. How many pages are in the book if Maria read 45 pages of a book on
Monday, 1/2 the book on Tuesday, and the remaining 72 pages on Wednesday? *
(10 Points)
117 pages
234 pages
351 pages
468 pages

Answers

Answer:

234

Step-by-step explanation:

45+72=117

117x2=234

3 definitions of slope

Answers

ground that forms a natural or artificial incline. 2 : upward or downward slant or inclination or degree of slant.
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