If a person invested half of her money at 9% and half at 7% and received $160 interest, find the total amount of money invested.

Answers

Answer 1

Answer:

$2000

Step-by-step explanation:

let x be the money she invested

lets assume this was for 1 year

0.09(x/2) + 0.07(x/2) = 160

multiply each side by 2 to cancel the denominators:

0.09x + 0.07x = 320

0.16x = 320

x = 2000

Answer 2

Answer: $2000

Let the amount of money she invested be x

Lets assume the time of investment as 1 year

ATQ

0.09(x/2) + 0.07(x/2) = 160

0.09x + 0.07x = 320

0.16x = 320

x = 2000

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Related Questions

The Sugar Sweet Company needs to transport sugar to market. The graph below shows the transporting cost (in dollars) versus the weight of the sugar being transported (in tons).
slope of line

Answers

Answer:

where is graph. Hope you understand mr

Step-by-step explanation:

Please mark me brainliest thanks

what is the area and perimeter of the figure below?

Answers

Answer:

the perimeter is : 40

the area is: 10,000

Do you think we would have had a civil war to end slavery if we had not expanded west and taken territory from Mexico? Thinking about Manifest Destiny, the Texas Revolution, and The Mexican American War, do you think the choice to expand sparked a civil war or do you think westward expansion had nothing to do with the civil war?

Answers

I think we would have still had the civil war, the civil war was many about freeing the enslaved persons, and the war was mainly between the North and South

find the measure of the angle indicated

Answers

Answer:

Step-by-step explanation:

59°

what is factorization of the trinomial below? -x2+2x+48

Answers

Answer:

-(x+6) (x-8)

Step-by-step explanation:

-(x^2-2x-48)

two values the multiply to get 48 and the difference of those two numbers gives you -2.

6,-8

6 x -8 =-48

6-8=-2

In this case we factored out the negative so leave it outside

-(x+6) (x-8)

Answer:

-1(x-8)(x+6) is the answer just took the test

Step-by-step explanation:

Which equation is equivalent to the formula below?

Answers

Answer:

option C is best.

Step-by-step explanation:

y=a(x-h)^2+k

y-k=a(x-h)^2y

y-k/(x-h)^2=a

option c is right………..

2. In a 100m race, Luke was 2m ahead of Azam. Chandra was 3m behind Luke, Maggie was 7m ahead of Chandra. Luke was 5m behind Darren. Who was in the first place?​

Answers

Answer:

luke won

Step-by-step explanation:

he is 2 meters ahead of azam witch is in 2dn place

Maggie is the winner. She was the most ahead

Find the mean 9,1,8,3,2,1 graphically.

Answers

10+11+3
21+3
24
24/6
The mean is 4

How much money will there be in an account at the end of 10 years if $4000 is deposited at 6% compounded quarterly

Answers

Answer:

$7,256.07

Step-by-step explanation:

A = p(1+r/n)^nt

A = 4000(1+.06/4)^(10*4)

Driving 70 mph, it takes Alicia 3 hours to reach the airport to go on a vacation. It then takes her 3 hours to get to her destination with the jet traveling at a speed of 400 mph. How many miles does Alicia travel to get to her destination?

Answers

Answer:

Total distance covered= 910 miles

Step-by-step explanation:

Distance = speed x time

Distance covered from home to airport = 70 x 3= 210 miles

Distance covered from airport to destination= 350 x 2= 700 miles

Add them together to get the final answer.

An educator wants to see how the number of absences for a student in her class affects the student’s final grade. The data obtained from a sample are shown.

Number of absences

26

29

32

34

36

37

Final grade

48

68

66

69

76

67

Answers

The Question is solved with a simple linear equation and is explained as follows:

Simple linear equation is :

Y = 86.784 - 2.67x

The educator wants to see the relationship between no of absences and final grades of the student.

No. of absence of student is independent variable while final grade is dependent variable.

The final grades of the student are dependent on the no. of absence they do.

b = Sxy / Sxx

b =  { 2312 [ 37 * 422 ] / 6 } / 337 - 37^2 / 6 = -2.67

a = -2.67 * 37/6 = 86.784

Learn more at https://brainly.com/question/24319270

Find the slope of the line containing the points (5, 3) and (-7, 2).

Answers

The slope is 1/12 or 0.083
The slope would be 1/12

Jamal traveled a distance of 520 miles in 9 hours. Part of the time, his rate of speed was 55 mph. The rest of the time his rate of speed was 60 mph. How long did Jamal travel at each rate?

Answers

Answer:

jamal traveled 5 hours at 55mph and 4 hours at 60mph

Step-by-step explanation:

time x will be time jamal travels 55 mph (in hours)

time y will be time jamal travels 60 mph (in hours)

distanced traveled 520 miles

distance = time*speed

520= x*55+y*60

520=55x+60y

jamal traveled for 9 hours

9 hours is composed to the two times x and y

9=x+y

then

x=9-y

substitute into 520=55x+60y

520=55(9-y)+60y

520=495-55y+60y

520=495+5y

25=5y

y=5

x+y=9

x+5=9

x=4

time x is time jamal travels 55 mph (in hours)

time y is time jamal travels 60 mph (in hours)

jamal traveled 5 hours at 55mph and 4 hours at 60mph

1. Find the 4th term for the sequence with formula tn= n² + 1

Answers

Answer:

17

Step-by-step explanation:

T4 = 4² + 1

T4 = 4² + 1 = 17

Yip yip that's all

6. Find x and y plz help ​

Answers

Answer:

x=6 square root 3 y=9

Step-by-step explanation:

x= 3 square root 3 * 2

y=3 square root 3 times square root 3

Help
Plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

angle G

sin inverse (21/29) = 46.4

GH

c^2 - b^2 = a^2

29^2 - 21^2 = a^2

a = √(29^2 - 21^2)

GH = 20

therefore ans is B) <G = 46.4º, <I = 43.6º, GH = 20

Select the correct answers in the table.
Rachel enjoys exercising outdoors. Today she walked 5 2/3 miles in 2 2/3 hours. What is Rachel’s unit walking rate in miles per hour and in hours per mile?

Answers

Rachel enjoys exercising outdoors. Today she walked 5 2/3 miles in 2 2/3 hours. What is Rachel's unit walking rate in miles per hour and in hours per miles? 5 2/3 / 2 2/3 = 17/3 / 8/3 = 17/3 x 3/8 = 17/8 = 2 1/8 miles per hour.

A bag contains 4 white and 2 black balls of the same size and weight and two balls are selected at random without replacement,what are the possible outcomes ?

Answers

Answer:

Step-by-step explanation:

Total balls in bag = 4+2

= 6 balls

Total white balls = 4

Total black balls = 2

The possible outcomes are

Black and Black or White and White or White and Black or Black and White.

Probability of black and black = 2/6

= 1/3

Probability of white and white = 4/6

= 2/3

Probability of Black and white or White and black

= 1/3×2/3

= 2/9

please click thanks and mark brainliest if you like :)

possible outcomes will be white and black, white and white, black and white or black and black

1. Use the circle shown to answer each question a. Name the circle b. Identify a radius of the circle c. Identify a diameter of the circle d. Identify a different diameter of the circle. ​

Answers

i think the answe is sixteen

If the statement is true, type true in the space provided. If it is false, replace the underlined
word(s) with the word(s) that will make the statement true.
* The associative (associative is underlined) property is used on the following expression: 2 + 3 = 3 + 2.

Answers

False, It is the commutative property.

the cost of 1 kg tomato is RS . 75.Find the cost of 14 kg​

Answers

Answer:

Cost of 1kg tomato=rs.75

Cost of 14kg tomato=(75×14)

rs.1050

Which phrase describes the linear relationship between the x and y values shown in the table?

x l y
8 l 2
9 l 3
10 l 4

A. y is 6 times x
B. x is 6 times y
C. y is 6 less than x
D. y is 6 more than x

Answers

9514 1404 393

Answer:

  C. y is 6 less than x

Step-by-step explanation:

It is not hard to check.

  A. 6 times x is 6×8 = 48, not 2

  B. 6 times y is 6×2 = 12, not 8

  C. 6 less than 8 is 2; 6 less than 9 is 3

  D. 6 more than 8 is 14, not 2

__

The relation described in C matches the table.

A box is filled with 14 green cards, 2 yellow cards, and 2 red cards. A card is chosen at random from the box. What is the probability that it is a green or a red card?
Write your answer as a fraction in simplest form.

Answers

Answer:

Probability of getting a green card = 14/18 = 7/9

Probability of getting a red card = 2/18 = 1/9

Step-by-step explanation:

Answer from Gauth math

Which pair of numbers has an LCM of 8​

Answers

Answer:

2,8

Step-by-step explanation:

Find the eigenvalues of the matrix:

[-43 0 80]
[40 -3 80]
[24 0 45]

Answers

Answer:

-3

1 + 4 sqrt( 241 )

1 - 4 sqrt( 241 )

Step-by-step explanation:

We need minus lambda on the entries down the diagonal. I'm going to use m instead of the letter for lambda.

[-43-m 0 80]

[40 -3-m 80]

[24 0 45-m]

Now let's find the determinant

(-43-m)[(-3-m)(45-m)-0(80)]

-0[40(45-m)-80(24)]

+80[40(0)-(-3-m)(24)]

Let's simplify:

(-43-m)[(-3-m)(45-m)]

-0

+80[-(-3-m)(24)]

Continuing:

(-43-m)[(-3-m)(45-m)]

+80[-(-3-m)(24)]

I'm going to factor (-3-m) from both terms:

(-3-m)[(-43-m)(45-m)-80(24)]

Multiply the pair of binomials in the brackets and the other pair of numbers;

(-3-m)[-1935-2m+m^2-1920]

Simplify and reorder expression in brackets:

(-3-m)[m^2-2m-3855]

Set equal to 0 to find the eigenvalues

-3-m=0 gives us m=-3 as one eigenvalue

The other is a quadratic and looks scary because of the big numbers.

I guess I will use quadratic formula and a calculator.

(2 +/- sqrt( (-2)^2 - 4(1)(-3855) )/(2×1)

(2 +/- sqrt( 15424 )/(2)

(2 +/- sqrt( 64 )sqrt( 241 )/(2)

(2 +/- 8 sqrt( 241 )/(2)

1 +/- 4 sqrt( 241 )

The perimeter of a park is 300 feet the length of the park is 50 feet longer than the width. Find the length

Answers

Answer:

55.41 feet

Step-by-step explanation:

Let the width be x.

ATQ, (x+50)*x=300, x=5*srt(37)-25=5.41. Length is 55.41 feet

Tom and Jerry had a race. Tom started at 0200 running at 4.5km per hour. Jerry started
later at 6:30am running at 6.5km per hour. After five hours, who was ahead, and by how
much (answer in kilometres)

Answers

Answer:

Tom, 10.25

Step-by-step explanation:

Distance covered by Tom=4.5*(4 1/2+5)=81/4=42.75km

Distance covered by Jerry=6.5*(5)=32.5km

Tom is ahead from Jerry by 10.25km

Simplify the following expression:

Answers

Step-by-step explanation:

[tex]{ \bf{( \frac{ - 10 {a}^{3} {b}^{5} \times 6 {a}^{6} {b}^{2} }{ {12a}^{9} {b}^{5} } ) {}^{3} }} \\ \\ = { \sf{( \frac{ - 60 {a}^{9} {b}^{7} }{12 {a}^{9} {b}^{5} } ) {}^{3} }} \\ \\ = { \sf{(5 {b}^{2}) {}^{3} }} \\ = { \sf{125 {b}^{5} }}[/tex]

15 more than 2 times a number is equal to -14. Find the number.
please help asap and thank you in advance!

Answers

Answer:

The number is - 14.5

Step-by-step explanation:

Let the number be x.

ATQ, 15+2x=-14, x=-29/2=-14.5

15+ 2x= -14. That is the answer

Find the value of X.

Answers

Answer:

[tex]the \: two \: angles \: are \: equal \: so \: this \\ \: triangle \: is \: issosceless \\ then3x - 6 = 12 \\ 3x = 18 \\ x = \frac{18}{3} \\ x = 6 \\ thank \: you[/tex]

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