A woman invested 4 times much at 4% as she did at 9%. The total amount of interest she earns in 1 year from both accounts is $500. How much did she invest at each rate?

Answers

Answer 1

Answer:

$2,000 at 9%

$8,000 at 4%

Step-by-step explanation:

(4x * .04) + (x * .09) = 500

.16x + .09x

.25x = 500

x = $2,000 at 9%

4x = $8,000 at 4%

Answer 2

Answer:

2000 at 9%

8000 at 4%

Step-by-step explanation:

Let the principle at 9% = x

The principle at 4% = 4*x

Together they give 500 dollars.

9% = .09

4% = ,04

Both are invested for 1 year

0.09 * 1 * x + 0.04 * 1 * 4x = 500

0.09x + 0.16x = 500

0.25x = 500

x = 500 / 0.25

x = 2000

She invested 2000 at 9%

She invested 4 * 2000 at 4%


Related Questions

Please help me I will give you 16 points I don’t know what that do but I will

Answers

Answer:

40

Step-by-step explanation:

The serving sizes, [tex]x[/tex], of 20, 80, and 120 have a required amount of meat in pounds, [tex]y[/tex], of [tex]y=\frac{1}{10}x[/tex] (the number of pounds of meat is equal to 1/10th the serving size)

However, for the row with a serving size of 40, the number of pounds of meat is equal to [tex]\frac{6}{40}=\frac{3}{20}[/tex] the serving size. Therefore, the serving size of 40 has a different ratio of serving size to pounds of meat than the other ratios.

Pls help math coordinates of pt P

Answers

Answer:

( 3, - 2 )

Step-by-step explanation:

p is located at below 3

A surveyor is using indirect measurement to find the height of a cliff. He is 4 feet tall and is standing 32 feet away. How tall is the cliff?

Answers

Answer
Step by step explanation

Answer:

256 ft

Step-by-step explanation:

[tex]\frac{x}{32} =\frac{32}{4}[/tex]

cross multiply

4x = 32(32)

4x = 1024

x =256

256 ft

Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5

Answers

I think the answer is the first option.

Answer:

B

Step-by-step explanation:

The equation of Nolan's line is  

The slope-intercept form of a line is given by:

Here

m is the slope of the line

and b is the y-intercept.

Given

y-intercept = b = 3

slope = m = 2

The values of m and b can be put into the equation to find the line's equation

So,

Putting the value

Hence,

The equation of Nolan's line is

The question is in the screenshot. ( I really need help in this one)

Answers

Answer:

V=A*L

V=72*6

V=432 in cube

Marque a alternativa correta *
1 ponto
y = 4x – 2 é uma função do 1° grau decrescente.
y = 4 – 2x é uma função do 1° grau decrescente.
f(x) = x não é uma função do 1° grau .
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
NRA

Answers

Step-by-step explanation:

f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.

Nala and lily are playing a dice game where they score points. After one round, the ratio of nala point to lily's point is 7 to 9. If nala has 14 more points than lily, determine how many points lily has.

Answers

Answer:

Lily has 63 points and Nala has 49.

Step-by-step explanation:

Since Nala and Lily are playing a dice game where they score points, and after one round, the ratio of Nala's points to Lily's points is 7 to 9, if Nala has 14 more points than Lily, to determine how many points Lily has se you must perform the following calculation:

9 - 7 = 2

14/2 = 7

7 x 7 = 49

7 x 9 = 63

63 - 49 = 14

Therefore, Lily has 63 points and Nala has 49.

Macy's buys a coat from the manufacturer for $22.00. They markup the coat by 75%. Ms. Tonyes buys the coat and uses a 15% off coupon. How much does Ms. Tonyes pay for the coat before tax?

Answers

Answer:

Toney buys the coat for $ 14.8.

Step-by-step explanation:

Cost of coat =$ 22

Mark up by 75 %

discount = 10 %

Let toney pay $ R for the coat.

So, according to the question

R + 75 % R = 1.75 R

Now the cost is

1.75 R - 15 % of 1.75 R = 22

1.75 R - 0.2625 R = 22

R = 14.8

So, he buy the coat for $ 14.8.  

A triangular parcel of land has side lengths of 100, 580, and 600 feet. Approximate the area of the land. Round your answer to the nearest foot.

Answers

Answer:

28800 square feet

Step-by-step explanation:

We solve this using the Heron's formula

Area of a Triangle = √s(s - a)(s - b)(s - c)

s = a + b + c/2

s = 100 + 580 + 600/2 = 640

Area of the land(Triangle) = √640 × (640 - 100)(640 - 580)(640 - 600)

= √640 × (540) ×( 60) × (40)

= √(829440000)

= 28800 square feet

Therefore, the approximate the area of the land is 28800 square feet.

Can someone help me with this? i’m struggling urgent help please!!!!

Answers

Answer:

Similar by SAS

Step-by-step explanation:

If you multiply the two given sides by 3/2 you will get the sides for the large triangle

3/2  * 10 = 30 / 2 = 15

3/2 * 24 = 72 / 2 = 36

Therefore they are similar by SAS postulate for similarity. Notice that the right angle is between the legs of the triangle. That is the main qualification that allows you to use SAS for similarity.

Find the other two angles of both the triangles, if they were similar then the triangles are similar

At Fairview middle school 75 being members need to raise a total of $8250 for a trip so far they have is $3120 how much money in dollars per bandmember still needs to raised for the trip

Answers

Answer: 68.40$ per member left.

Explanation:

8250 = 75x + 3120

5130 = 75x

68.4 = x

Can u guys hurry up pleasee The manager of a local appliance store wants to conduct a customer satisfaction survey. Which population should the manager survey? A.Sales people in the store. B.People in charge of repairs at the store. C.People who bought a major appliance from the store. D.Prospective buyers who visit the store.

Answers

Answer:

C. People who bought a major appliance from the store.

Step-by-step explanation:

A customer satisfaction survey is a market survey carried out to analyze how satisfied users or customers are in using or consuming a particular product or service. Basically, it has to be carried out on the customers themselves. By costumers, we mean those that have bought and/or used the service or product.

For the local appliance store, the manager should survey people that have bought at least one major appliance from the store. Those are the right people that should make up the population to be surveyed. This is because;

i. They are the consumers of the product.

ii. They have bought and definitely used the product.

iii. They have some usable and useful experiences since they have handled the product.

is my dad abusive? today he grabbed my ears so hard and they turned so red and he put his arms around my face. then he kicked me really hard to the point where I peed, he also pushed me a lot and started slapping me. he did more which I can't remember but he also smashed my phone :) this all happened within 20 minutes and I could barely breathe after that lol. this may not seem so much but it is. this is too personal ig lol and I started self-harming again bc of him yay.

Answers

Answer:

Step-by-step explanation:

OMG! Don't do that! I am so sorry this is happening to you. Look I don't know how to comfort you. IF he keeps doing this tell your mom or litterally call 911. If he did it just on that day then try confronting him on it. And ask him why he did that! Don't self-harm you deserve so much more than that! You are awesome!

Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.

Answers

Answer:

x = 20

Step-by-step explanation:

The triangles are similar

3          (3+5)

----- = ----------

12        (12+x)

Using cross products

3(12+x) = 12*(3+5)

3(12+x) = 12*8

3(12+x) = 96

Divide by 3

3(12+x)/3 = 96/3

12+x = 32

Subtract 12

12+x-12 =32-12

x = 32-12

x =20

b) Find x and y.
x = 10-6

Answers

Answer:

to find y you have to do trigonometry

The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Lucas and Tony were trying to solve the equation: x^2=16x+25 Lucas said, "The x^2, squared term is isolated, so I"ll take the square root of both sides and solve." Tony said, "I'll solve using the quadratic formula with a=1,b=16, an c equals 25." Whose solution strategy would work? Choose 1 answer:

Answers

Answer:

Tony's solution strategy

Step-by-step explanation:

Given the equation that Lucas and Tony trying to solve expressed as: x^2=16x+25

This can be written in standard form as x^2 - 16x - 25 = 0

This can then be factorized using the general formula

x = -b±√b²-4ac/2a where a, b and c are constants

From the given expression;

a = 1, b = -16, c = -15

Hence the best strategy that would have worked based on the explanation is Tony's

Answer: Neither

Step-by-step explanation: got it right on khan

y = x2
-2
What is the Domain:

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

x can be any real number

Use the Pythagorean theorem to classify the triangle
formed by the three fences. Which is true about the
numbers 5, 12, and 13?

Answers

Answer:

they are equal

Step-by-step explanation:

The triangle with sides 5, 12, 13 is a right triangle because

a^2+b^2 = c^2

5^2+12^2 = 13^2

25+144 = 169

169 = 169

I'm using the pythagorean theorem converse.

Con procedimiento por favor

Answers

Answer:

C

Step-by-step explanation:

Faith makes greetinli cards with colored paper. She plans to make 1/5 of the cards out of red paper. She
has 25 sheets of colored paper in all. If she uses all the colored paper she has, how many sheets are a
color other than red?

Answers

20 because 1/5 of 25 is 5 so five from twenty-five would be 20!

Find the measure of x and y

Answers

Answer:

y - 41°

x - ?

Step-by-step explanation:

use method of Z equation

Z 41° so y is 41° too

make sense

Can you please help me ASAP

Answers

Answer:

x=35 this is your answer

What is the answer I need helppppp

Answers

Answer:

y= 4 x=0 (0,4)

Step-by-step explanation:

5x+y=4

-5x +y=4

the 5x would cancel out because they equal zero

2y=4

divide both sides by 2

y=4

put the y into one of the equations

5x +4 =4

subtract 4 from both sides

5x=0

divide five from both sides

x=0/5

so x=0

Step-by-step explanation:

5x+y=4 --> y=-5x+4

Plug this into the other equation:

-5x+(-5x+5)=4

Simplify:

-10x=1

x=-.1 (save this answer)

Plug into first simplified equation:

y=-5(-.1)+4

Solve:

y=4.5

(-.1 , 4.5)

Is this true or false???!!!

Answers

Answer:

It is true

Step-by-step explanation:

Hopes this help

I believe its true! Here is the equation on my graphing calc. It definitely has an “S” shape to it. Hope this helps!!

help i give many points

Answers

Answer:

Step-by-step explanation:

The pic doesnt wrk comment question and ill answer

Plsss help I will give brainliest

Answers

The correct answer is A. Grade 7
In the table, it shows that for both grades 7 and 8 there are 10 students in band so it’s equal

Suppose you have a bag with 50 letter tiles in it and 23 of the tiles are the letter Y. If
23
you pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose
50
another bag has 200 letter tiles in it and 172 of the tiles are the letter Y. Write the probability of
picking a tile that is the letter Y as a fraction and as a percent. From which bag are you more likely
to pick a tile that is the letter Y?

Answers

Answer:

23

Step-by-step explanation:

234Suppose you have a bag with 50 letter tiles in it and 23 of the tiles are the letter Y. If

23

you pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose

50

another bag has 200 letter tiles in it and 172 of the tiles are the letter Y. Write the probability of

picking a tile that is the letter Y as a fraction and as a percent. From which bag are you more likely

to pick a tile that is the letter Y?

The probability of picking the letter Y from bag of 50 letters is 23/50 or 0.46 or 46% and probability of picking the letter Y form bag of 200 letters is 172/200 or 0.86 or 86%. as the probability of getting the letter Y is more in second bag this it is better to pick the bag containing 200 letters.

What is a probability?

The probability explains the chances of happening a event. The probability of an event is a number between 0 and 1, where, 0 indicates impossibility of the event to happen and 1 indicates certainty of the event to happen.

From the question it is said that a bag of 50 letter contain 23 Y letters. Thus the probability of the letter Y picking is 23/50 i.e, number of times the letter Y can come out if we pick the letters 50  times. So, it is certain that 23 Y letters can come out.

23/50= 0.46 or 46%

And if the bag contain 200 letters in which 172 are Y letters then the probability to pick Y is 172/200

172/100 =0.86 or 86%

As the chance to get Y letter is mor in bag containing 200 letters thus pick this bag.

thus the 1st bag probability is 46% and for 2nd bag is 86%. Hence choose 2nd bag

To know more about probability click here

https://brainly.com/question/11234923

#SPJ2

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon ABCD is a parallelogram, and m-ABC = 127º. The length of BC is 10 units, and the length of AB is 5 units.
1271
D
units, and m_BCD is
The perimeter of the parallelogram is

Answers

Answer:

Perimeter = 30 units

m<BCD = 53°

Step-by-step explanation:

Recall: in any parallelogram, consecutive angles are supplementary. Also, the pairs of parallel sides are equal in length.

We would use this knowledge to solve the problem given.

m<ABC = 127° (given)

BC = 10 units

AB = 5 units

✔️Perimeter of the parallelogram = AB + BC + CD + AD

AB = CD = 5 units (pair of parallel sides)

BC = AD = 10 units (pair of parallel sides)

Perimeter = 5 + 10 + 5 + 10

Perimeter = 30 units

✔️m<BCD = 180° - m<ABC (consecutive angles are supplementary)

m<BCD = 180° - 127° (Substitution)

m<BCD = 53°

Felix is a quality control expert at a factory that paints car parts. Their painting process consists of a primer coat, color coat, and clear coat. For a certain part, these layers have a combined target thickness of 150 microns. Felix measured the thickness of 50 randomly selected points on one of these parts to see if it was painted properly. What is Felix's margin of error? "Round to 2 decimal places​

Answers

Answer:

0.9

Step-by-step explanation:

His sample had a mean thickness of 148 microns and a standard deviation of 3.3 microns with a 95% confidence interval for the mean thickness.

Solution:

The z score shows by how many standard deviations the raw score is above or below the mean.

Given that:

The mean (μ) = 148 microns, standard deviation (σ) = 3.3 microns, sample size (n) = 50 and confidence interval (C) = 95%

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 is the same as the z score of 0.475 (1 - 0.025) which is equal to 1.96

The margin of error (E) is given by:

[tex]E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{3.3}{\sqrt{50} } \\\\E=0.9\ microns[/tex]

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