Rosa invests $1100 in one account and $1300 in an account paying 3 % higher interest. At the end of one year she had earned $255 in interest. At what rates did she invest?

$1100 invested at __%

$1300 invested at __%

Answers

Answer 1

Answer:

$1100 at 9%$1300 at 12%

Step-by-step explanation:

The amount of interest earned in one year is the product of the interest rate and the amount invested at that rate. The total interest earned is the sum of the amounts of interest earned on each investment.

Let x represent the lower interest rate. Then the higher rate is x+0.03 and the total interest earned is ...

  1100x +1300(x+0.03) = 255

  2400x +39 = 255 . . . simplify

  2400x = 216 . . . . . . subtract 39

  x = 216/2400 = 0.09 = 9% . . . . divide by the coefficient of x

Rosa invested $1100 at 9%, and $1300 at 12%.


Related Questions

An artist has a block of wood that weighs 62.7 ounces. She wants to carve it into a wooden bear to enter in a contest. The rules allow sculptures that weigh up to 45 ounces. Complete and solve an equation to find out how much wood she needs to remove from the block to reach the weight limit.

Answers

Answer:

17.7

Step-by-step explanation:

62.7-45=

17.7

yeah sculpting bears are hard

Your new computer cost $1500 but it depreciates in value by about 18% each year. About how long will it take before your computer is worth close to zero dollars, according to your equation? ​

Answers

Answer:

5.5 years

Step-by-step explanation:

100/18 = roughly 5.5 years (5.55555556 to be exact)

Hope this makes sense.

A cylinder has a height of 19 meters and a radius of 10 meters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth

Answers

Answer:

Pi times radius to the power of two times the height  

Step-by-step explanation

i gave you the formula now solve

What is the mean , median

Answers

The mean is the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of mean that can be calculated. Summing the numbers in a set and dividing by the total number gives you the arithmetic mean.
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

Sketch a graph x - y =5

Answers

Answer:

Step-by-step explanation:

*View attached graph*

Hope this helps!

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Answers

Answer:

The answer should be 3 :)

Step-by-step explanation:

Pick a point on f(x) and count up until you hit the g(x) point :)

When i did this, i got 3 :)

Have an amazing day!!

Please rate and mark brainliest!!

The dotted lines show how piano wire
is used to slice this cube. What will be
the shape of the cross section?

Answers

Answer:

C. rectangle (not a square)

Step-by-step explanation:

So image that the wire just sliced that piece of the cube right off:

It would give you a triangular prism,

HOWEVER, this is asking for the cross section:

The part of this triangular prism that was actually connected to the cube

and in this case, it would show that the bottom of the cut off part is rectangle.

You can also think of this as: What shape would be left over on the cube?

Cutting this piece off would give you a shape left over that is a rectangle.

What is 45% of 69/3???

Answers

Answer:

10.35

Step-by-step explanation:

69/3 = 23

45% of 23 = 10.35

Answer:

10.35

Step-by-step explanation:

69/3 = 23

45% of 23 = 10.35

Why are you deleting my answers??

Ronnie raises chickens and pigs. He has 220 animals. He counted 640 legs. How many chickens does Ronnie have? Explain your thinking.

Answers

Answer:

f all his animals were pigs, there'd be 880 legs, There are 240 legs missing which represents 120 chickens (so he has 220 - 120 100 pigs.)

Check: (120 x 2) + (100 x 4) = 240 + 400 = 640 QED

Write an equation of the line that passes through the points (1, -6) and
(5, -6).

Answers

Answer:

Step-by-step explanation:

Hello ;  

y= -6

can someone plssss help me with this. I WILL MARK BRAINLIEST

Answers

Answer:

5 payments

Step-by-step explanation:

First we add up the prices for the lunches and the movies :)

3 x 5 = 15

15 + 9.5 = 24.5

Second we subtract the 24.5 from the 35 :)

35 - 24.50 = 10.5

Now we divide the price of the cd player by the 10.50 to get the total number of payments :)

50/10.5 = 5

Finally to check it one more time, we multiply the 10.5 by 5 and if it equals 50 or over, it is correct!! :D

10.5 x 5 = 52.5!!!

You did it!

Your correct answer is 5 payments!!

Have a great day!!!

Please rate and mark brainliest!!

Answer: he will have enough in 5 allowance payments

Explanation:
35+5=40 (starting cash)
40-24.5=15.5 (week 1)
15.5+35-24.5=26 (week 2)
26+35-24.5=36.5 (week 3)
36.5+35-24.5= 47 (week 4)
47+35-24.5=57.5 (week 5)

X squared minus 5x equals 0

Answers

Hope it helpssss…..best of luckkkkk


Describe how
(2^3)(2^-4)
can be simplified.

Answers

Answer:

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Step-by-step explanation:

your welcome

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

The cost of 5 dozen pencils is rs 300.Find the cost of 7 dozen pencils.​

Answers

5 dozen = 300

so

1 dozen = 300 : 5 = 60

so

x 7 = rs 420

Answer:

Rs 420

Explanation:

5 dozen pencils → Rs 300

Find the cost of each dozen pencils

1 dozen pencils → Rs 60

Then multiply by 7

7 dozen pencils → Rs (60 * 7)

Final answer:

7 dozen pencils → Rs 420

write 2.36 x 10^-3 as a decimal number (ordinary form)​

Answers

Answer:

0.00236

Step-by-step explanation:

Move the decimal left 3 times as the exponent is negitiave 3

find the area bounded by the Curves y=4-x² and y

Answers

The area bounded by the Curves y=4-x² and y = 2x + 1 is 10 1/3 units.

What is area?

Area is the amount of space occupied by a two dimensional shape or object.

y = 4 - x² and y = 2x + 1

4 - x² = 2x + 1

x² + 2x - 3 = 0

(x + 3)(x - 1) = 0

x = -3; or x = 1

The area (A) is given by:

[tex]A=\int\limits^1_{-3} {x^2+2x-3} \, dx \\\\A=10\frac{1}{3}[/tex]

The area bounded by the Curves y=4-x² and y = 2x + 1 is 10 1/3 units.

Find out more on area at: https://brainly.com/question/25292087

121.45 - 80.28 = ___
A.
39.97
B.
42.27
C.
41.13
D.
41.17

Answers

Answer:

D.

41.17 because it is possible answer to the question

see the picture below and answer for 50 points and brainliest

Answers

Answer:

C. 27.3%

Step-by-step explanation:

The total number of people who ordered a sundae is 22.

The number of those who got crushed candy is 6.

To find the percentage, divide the value (6) by the total value (22), and then multiply it by 100.

Thus, 6 is approximately 27.3% of 22.

Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank contains 22,917 L at 2:45 PM and 8,077 L at 5:25 PM the same day, how much water will the tank contain at 6:10 PM that day?

Answers

The amount of water that the tank will contain at 6:10 PM that day is 4174 L.

What is a Conversion Rate?

The conversion rate of a physical quantity is the method by which a unit of measurement is changed from one process to another by following a standard conversion rate and dimensional analysis.

From the information given:

The difference in the time from 5:25 PM to 2:45 PM is 2 hours:40 minutesIf we convert 2 hours:40 mins to minutes, we have = 160 minutes

The difference in the water in the tank within these two periods is:

= 22917 L - 8077 L

= 14840 L

In one minute, the amount of Liter is:

= 14840/160

= 92.75 Liter/minute

Similarly, between 6:10 pm and 5:25 pm, there are 45 minutes difference.

Therefore, the amount of water that the tank will contain at 6:10 PM that

day is;
= 45 minutes × 92.75 Liter/minute

= 4174 Liters

Learn more about conversion rate here:

https://brainly.com/question/1810058

What is Barbara's net worth if her assets total $19000, her gross income is $60000, her student loan debt is $28000 (she has no other debts), and her annual expenses (including taxes) total $46000?

Answers

Answer:

calculator

Step-by-step explanation:

Evaluate the double integral int int y^3 dA where D is the triangular region with vertices (0,1), (7,0) and (1,1).

Answers

Answer:

1/5

Step-by-step explanation:

Refer to the image for the region. I've chosen to "scan" the region horizontally for convenience sake, so x varies for values between the green and the red line, and y varies from 0 to 1.

The two lines have equations [tex]x=7-6y[/tex] (red line) and [tex]x=7-7y[/tex] (green line). Since we're integrating first with respect to x, it's easier to write the equation like that and not as [tex]y=mx+q[/tex] since they will become our new limits of integration

Our double integral will become

[tex]\int \limits_0^1 \ \ \int \limits_{7-7y}^{7-6y}y^3dxdy = \int \limits_0^1 y^3x|\limits_{7-7y}^{7-6y} dy =\\\int \limits_0^1 y^3[(7-6y)-(7-7y)]dy = \int \limits_0^1y^3(y)dy =\\\int \limits_0^1 y^4dy =\frac15y^5|\limits_0^1=\frac15[/tex]

There are 12 cats and 8 dogs

Answers

Answer:

isn't the answer 12/20

add the number of pets to make 20

then there are 12 cats

as a fraction

12/20

Help help help help help

Answers

Answer:

y = -1x + 7

Step-by-step explanation:

Slope intercept formula: y = mx + b

m = slope

b = y-intercept

Given:

slope = -1

y-intercept = 7

Substitute the given values into the slope-intercept formula: y = mx + b

y = -1x + 7

hope this helps!! p.s. i really need brainliest :)

y=-1x+y

Mx+b
m equals the slope y equals the intercept

I typically give 12% of money I receive to my church. My uncle died recently and left me some money. I donated $408 to my church in his memory. How much did he leave to me in his will?

Answers

your uncle left you with "x" total, which is the 100%, now, we also know that 408 is 12% of that, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 408& 12 \end{array} \implies \cfrac{x}{408}=\cfrac{100}{12}\implies \cfrac{x}{408}=\cfrac{25}{3} \\\\\\ 3x=10200\implies x=\cfrac{10200}{3}\implies x=3400[/tex]

what is is the volume of a box with 3 inches long 1 inch wide and 5/3 inch tall

Answers

Answer:

5 inches cubed

Step-by-step explanation:

Use the formula for volume: V = length * width * height, and plug in the values. V = 1 * 3 * 5/3, which equals 5.

Hopefully this helps - let me know if you have any questions!

Select the correct answer.
Which pair of statements correctly compares the two data sets?



A.
The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.
B.
The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.
C.
The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.
D.
The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.

Answers

Answer:

Step-by-step explanation:

Do you still need help?

CAN SOMEBODY HELP ME SOLVE THIS EQUATION

Answers

1. 400

2. 3
Sorry I don’t have time to answer anything else

Which equation represents the sentence, "The sum of three times p and twenty-five is q"?

A. (3 + 25) = q
B. 3(p + 25) = q
C. 3p – 25 = q
D. (3p + 25) = q

Answers

It is D because we said sum of three times p and twenty five is q it means p is multiplied first with p before adding 25

Answer:

D. (3p + 25) = q

What is the value of the expression (6 + 3)2
15
18
45
81

Answers

Answer:

Probably 81.

Maybe 18.

See explanation below.

Step-by-step explanation:

(6 + 3)² = 9² = 9 × 9 = 81

(6 + 3) × 2 = 9 × 2 = 18

I think you mean the first expression in which 2 is an exponent, but since it's not clear, I solved it both ways.

Which of the following are not polynomials?
A. x^2+2sqrtx+1 B. 2/x^2+x+1 C. 2/3x^2+x+1 D. x^2+ sqrt2x + 1 E. x^-2+x+1

Answers

Answer:

A

Step-by-step explanation:

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