Katie invested a total of $6000 part at 3% simple interest and part at 4% simple interest at the end of one year the investment had earned $216 interest how much was invested at each rate?

Answers

Answer 1

Answer:

$3600 at 4%$2400 at 3%

Step-by-step explanation:

Let x represent the amount invested at 4% (the higher rate). Then the amount invested at 3% is (6000-x), and the total interest earned is ...

  0.04x + 0.03(6000 -x) = 216

  0.01x +180 = 216 . . . . simpilfy

  0.01x = 36 . . . . . . . . subtract 180

  x = 3600 . . . . . . . . multiply by 100

  6000-x = 2400

Katie invested $3600 at 4% and $2400 at 3%.


Related Questions

Hurry help plz
Solve for an angle in right triangles

Answers

[tex]\cos \angle B = \dfrac{2}{7}\\\\\implies \angle B = \cos^{-1} \left( \dfrac{2}{7} \right) = 1.28^{\circ}[/tex]

what is the estimate of 45.15

Answers

Answer:

The estimate would be:

(one of them :)

45 (if your doing the entire number)

0 (if your rounding out of 100)

45.2 (nearest hundredth)

45.0 (nearest tenth)

50 (nearest tens)

Hopefully one of these works for you.

How much force is required to accelerate a 4 kg mass at 6 m/s2

Answers

Answer:

is it 24 N?

as we know ....

force=mass * acceleration

force=4kg*6m/s2

hence force is 24N

The required Force = 24 N

What is Force?

The push or pull on an object with mass causes it to change its velocity.

Given that a body of 4 kg mass is accelerated at 6 m/s²

Force = ma

where m = mass and a = acceleration

F = 6*4 = 24 N

Hence, the Force required = 24 N

For more references on Force, click;

https://brainly.com/question/13191643

#SPJ2

Someone pleases answer!

Answers

Answer:

Both are 65 degrees

Step-by-step explanation:

because you have parrallel lines, 2 would be the same as 65

Because 1 is on the opposite of 2, it would be the same

What is the equation of this line in slope-intercept form? (-1,5) (1,-1)




y = 3x - 2

y = -1/3x + 2

y = -3x + 2

y = 3x + 2

Answers

Answer:

C

Step-by-step explanation:

y=-3x+2

what is 2/7 divided by 4

Answers

I think the awnser would be 2/28

Answer:

2/7 ÷ 4= 2/7 × 1/4

=2/28

...................................

What is 34÷18? Explain or show your reasoning.

Answers

Answer:

1.8889

Step-by-step explanation:

I Need help with 4-7

Answers

Answer:

Step-by-step explanation:

4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°

5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.

6) NOT parallel. see pic.

If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel

7)

b = 78°  as it corresponds with a labeled angle above it

a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180

f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180

e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180

c = 58° as it corresponds with f

d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180

 

PLEASE HELP! Economics

Answers

Answer:

C is the answer.

Step-by-step explanation:

the US capital account was in surplus and Japanese current account

PLEASE NO LINKS DONT WASTE YOUR TIME IM NOT GONNA CLICK. What are the zeros of this function?

Answers

Answer: C. x = 4 and x = 6

Step-by-step explanation:

Zeros of a function would be the value of x when f(x) is 0.

Based on the given graph, the parabola has 2 locations where the y-value is 0 and the graph hits the x-axis.

The graph hits the x-axis at 4 and at 6.

Answer:

I dont but want to.

Hope this helps! :) ;-;

Step-by-step explanation:

In a 2004 poll of 500 cell phone users conducted by the Yankee Group, 20% indicated that they had received commercial messages or ads on their cell phones. Is there sufficient evidence to conclude that the proportion of cell phone users who have received commercial messages or ads in 2004 was greater than the proportion of .13 reported for the previous year

Answers

Answer:44÷58+44

Step-by-step explanation:

The numbers and letters on a license plate are determined by the state that issues the license
plate. Suppose a state had a system that used 5 letters and 2 digits for a total of 7 characters on
a license plate. How many different license plates can this system produce?

297, 034, 400
594, 068, 800
1, 188, 137, 600
O 2, 376, 275, 200

Answers

2, 376, 275, 200 if do the right calculations then you will get the full answer of 2,376,275,200

Carly spent $150 on supplies and $125 on labor for her home. She could not spend more than $500 total. Which of these is a valid statement?

Answers

Answer:

she could spend up to $225 on more supplies

Step-by-step explanation:

the total amount of supplies and labor has to be less than or equal to $500. If she spent $150 and $125=$275 on supplies and labor, the equation would be 150+125+x≤ 500. Isolate x, to get x≤ $225. The value of x has to be less than or equal to $225.

Jersey Mike’s is offering $0.80 off its foot-long sub sandwiches. If this represents a 20% markdown, what is the sub’s regular selling price?

Answers

The subs will be $4 at regular price
The subs will be $4 at regular price

The cost of a trailer decreases in value by 25% What is the cost of the trailer if it was initially bought for $125 b $250 C. $375 d. $750 e x dollars ​

Answers

Answer:

the answer isn't there, but the answer is $93.75

Step-by-step explanation:

|a| if a>0
Please help!

Answers

Answer:

Step-by-step explanation:

the absolute value bars mean we ignore the sign of the variable

As (a) is always positive for a>0,   |a| = a

For contrast, If the range were a<0 where (a) is always negative, then |a| = -a

Answer:

1/a > 0

Step-by-step explanation:

An object is launched directly in the air at a speed of 8 feet per second from a platform located 4 feet above the ground. The position of the object can be modeled using the function f(t)=−16t2+8t+4, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?

Answers

The maximum height is 68 ft. The easiest way to find this answer is by using the online desmos graphing calculator. It is a lifesaver

A furniture company charges ANSWER FAST ITS DUE RN
0.45 per pound
for shipping

Write an equation for the cost(y) of shipping
x pounds.

Use it to determine the cost of shipping a
12-pound chair.

Answers

Answer:

y = 0.45 × x

y = 0.45 × 12

y = 5.4

Step-by-step explanation:

The chair costs $5 and 40 cents

you select a card at random from a standard deck of 52 cards. In how many ways can you select a black card

Answers

Answer:

26

Step-by-step explanation:

in a deck of 52 cards there are 52/2 = 26 black cards

so there are 26 ways you can select a black card

help me please i beg you

Answers

ANSWER: Acute and obtuse angle

what is the equation of the line in the slope-intercept? write your answer in simplest form.​

Answers

Answer:

y=-6x

Step-by-step explanation:

Slope intercept form is y=mx+b where b is the y intercept and m is the slope. In this particular example, the y intercept is at (0,0), the origin, so b=0. y=mx+0 or just y=mx. Now, to determine the slope, we must look at the graph. It appears the graph intersects the point (-10, 60) as well as the point (0,0). Other than just calculating it quickly in your head, the way to get slope from that is y1-y2/x1-x2. Setting that up, 60-0/-10-0, which is 60/-10, which is equal to -6. Put that into the equation and you get y=-6x

solve pls brainliest

Answers

Answer:

w=2.5

Step-by-step explanation:

divide 12.5 by 5: 12.5/5=2.5, so w=2.5

Answer:

2.5

Step-by-step explanation:

To solve for something you want to get it alone on one side. To do this for this problem you want to divide both sides by 5. This comes out to 2.5

What is the distance between the coordinates (9, -2) and (9, 8) please helppp

Answers

the difference between -2 and 8 is ten so i think the answer is 10

4(x - 4) + 2x -10 and what the answer

Answers

Answer:

Expression: 6x - 26. Equation: 3

Step-by-step explanation:

EXPRESSION

4x - 16 + 2x - 10

6x - 26

EQUATION 1

4x - 16 = 2x - 10 (Seems reasonable. Sorry if this isn't it)

4x = 2x + 6

2x = 6

x = 3

EQUATION 2

4x - 16 + 2x = - 10

6x - 16=  -10

6x = 6

x = 1

PLS ANSWER FAST!!

Write an equation of the line with a slope of 3 and a y-intercept of -7 .

Answers

Answer:

y = 3x - 7

Step-by-step explanation:

For an equation in the format y = ax + b, a is the slope and b is the y intercept.

A factory made 900 jars of peanut butter. 35% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?

Answers

Answer:

315 jars

Step-by-step explanation:

This question is merely another way of writing: what is 35% of 900?

Now, when we look at it that way, it's easy to solve.

So, the way to solve is to either multiply 35% by 900, or just interpret that as 0.35 times 900. Anyway, the result is 315.

I hope this helped a bunch! Tell me if you need any further assistance...

( :

3. Sarah has a goal to save $81.84 for a new gan
If she has 12 weeks to save the money, how much does she need
to save each week?

Answers

$81.84 divided by 12 weeks = $6.82 per week

Answer:

Hi!

12x = 81.84

x = 6.82

6.82 dollars every week

Simplify the following expression.

(33x + 53y) + (44x - 20y)
A.
86x + 33y
B.
77x + 73y
C.
77x + 33y
D.
86x + 73y

Answers

Answer:

77x+33y

Step-by-step explanation:

Eliminate redundant parentheses

(33x+53y)+(44x−20y)

33+53+44−20

Combine like terms

33x+53y+44x−20y

77+53−20

Combine like terms

77x+53y−20y

77+33

Solution:

77+33

Answer: The answer would be D.

Step-by-step explanation:

All you have to do is combine like terms.

Pretend that the parenthesis aren't there. 13x + 9y + 38x + 33y.

When you combine like terms, you add or subtract the terms that have the same variable attached.

13x + 38x = 51x.

9y + 33y = 42y

51x + 42y.

I hope I helped.

Brainliest would be appreciated.

33. Due to some error in a weighing scale, it shows the following reading when at rest (no weight is placed on it). Neerja measured her weight on this scale. The weight shown on the scale was 28 kg. What should she do to find out her correct weight?
(A) Add 2 kg to the weight shown. (B) Subtract 2 kg from the weight shown.
(C) Subtract 28 kg from the weight shown. (D) Add 4 kg to the weight shown

Answers

Answer:

The traditional scale consists of two plates or bowls suspended at equal distances from a fulcrum. One plate holds an object of unknown mass (or weight), while known masses are added to the other plate until static equilibrium is achieved and the plates level off, which happens when the masses on the two plates are equal. The perfect scale rests at neutral. A

6) Last month, Yaws checking account
had a balance of Ghc347.20. Since then,
Yaws deposited his paycheck of
Ghc563.89 and withdrew Ghc478.53.
What is Kofi's checking account balance
now?

Answers

9514 1404 393

Answer:

  Ghc432.56

Step-by-step explanation:

Deposits add to the balance; withdrawals subtract from the balance.

  new balance = old balance + deposits - withdrawals

  new balance = 347.20 +563.89 -478.53 = 432.56

Kofi's balance is now Ghc432.56.

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