Genevieve has $9000 to invest. She invests some at 6% annual interest and the rest at 4% annual interest. After one year, her total interest from both accounts is $444. How much did she invest in each account? (Clearly label which amount is for which account in your answer. Hint: Over a one year period, annual interest is the same as simple interest.)

Answers

Answer 1

Answer:

The first account, she invested = $4200 and in the second = $4800

Step-by-step explanation:

Let us assume that Genevieve invests $x at 6% ,

Hence, she invests ($9000 - $x ) at 4% ,

It's given that the combined interest from both of the above accounts is $444,

So,

0.06x + 0.04 (9000 - x) = 444

=> 0.06x + 360 - 0.04x = 444

=> (0.06x - 0.04x) + 360 = 444

=> 0.02x = 444 - 360

=> 0.02x = 84

=> x = 84/0.02

=> x = 8400/2 (By multiplying the denominator and numerator)

=> x = 4200

Therefore, 9000 - x = 9000 - 4200 = 4800

$4200 at 6% and $4800 at 4%

Therefore, the first account, she invested = $4200 and in the second = $4800

If my answer helped, kindly mark me as the brainliest!!

Thank You!!


Related Questions

2
¿Cuál de los siguientes causa que un sólido cambie a liquido

Answers

Answer:heat

Step-by-step explanation:heat turns solid into liquid

Find the slope of the line containing the points (3,-2) and (-1, 6).

Answers

Answer:

-2

I hope this helps!

8k = 0
A.)8
B.)16
C.)0
D.)4

Answers

Answer:

C

Step-by-step explanation:

Anything divided by 0 is equal to 0.

C .)0
I don’t reallly know how to explain sorry

acomoda 2 8 3 y 4 en este orden con las operaciones +-×÷ de forma que el resultado sea 76 y 40







Answers

Answer:

[(2*8) + 3] *4 = 76

[2*(8 - 3)]*4 = 40

Step-by-step explanation:

Los paréntesis ( ), corchetes [ ] y llaves {} son símbolos de agrupación que indican el orden de las cuatro operaciones aritméticas básicas (suma, resta, multiplicación y división). Las reglas del orden de operaciones establece que se debe realizar primero el cálculo dentro de los símbolos de agrupación.

En otras palabras, la jerarquía de operaciones es el orden en el que hay que realizar las distintas operaciones, ya que unas tienen prioridad frente a otras. Y establece primero debes empezar por resolver los paréntesis, luego los corchetes y finalmente las llaves. Es decir, cuando haya símbolos de agrupación dentro de símbolos de agrupación, calcula de adentro hacia afuera. Esto es, empieza simplificando los símbolos de agrupación en el centro.

Para obtener 76, se pueden realizar la siguiente operación combinada:

[(2*8) + 3] *4

Aplicando lo anteriormente mencionado de la jerarquía de operaciones, comienzas por resolver el paréntesis:

[16 + 3]*4

Ahora, resolviendo el corchete:

19*4

Finalmente, resolviendo la multiplicación:

19*4= 76

Entonces [(2*8) + 3] *4 =76

Para obtener 40, se pueden realizar la siguiente operación combinada:

[2*(8 - 3)]*4

Comenzando a resolver el paréntesis:

[2*5]*4

Ahora, resolviendo el corchete:

10*4

Finalmente, resolviendo la multiplicación:

10*4= 40

Entonces [2*(8 - 3)]*4 = 40

A bag contains nine balls labeled 1 through 9. One ball will be randomly picked. What is the probability of picking a multiple of 3?

Answers

Answer: 3/9 or 1/3

Step-by-step explanation:

3, 6 and 9 are all multiples of 3 equal or below 9.

which shows the best use of the associative and commutative properties to make simplifying 2/7 - 17 + 6 - 5/7 + 1 easier?

Answers

Answer:

B

Step-by-step explanation:

:)

35 POINTS WILL MARK BRAINLIEST!!!
Please solve it from the picture below!!

Answers

I believe it’s B
Good luck!!!

Which situation can be modeled by the equation y = mx + b?

Answers

Answer:

That is a slope intercept equation if that's what your asking.

Step-by-step explanation:

y = mx + b

-In this situation y and x represent a set of cordinates on the graph that are a solution to the equation.

-m represents the slope of the line.

-b represents the y intercept on the graph.

I hope this helps you.

Answer:

A.

The number of subscribers (y) of an online news journal doubles every week (x).

B.

The time (y) it takes to make 100 pots at a pottery wheel depends on the number of pots made per hour (x).

C.

The total daily income (y) of a hotel clerk who earns $12 per hour depends on the number of hours worked (x).

D.

The volume (y) of a square prism with a height of 8 inches depends on the side length (x) of its square base.

Step-by-step explanation:

C

19c + 31 = 26c - 74




solve for c

Answers

Answer:c

c = - 15

Step-by-step explanation:

Simplifying

19c + 31 = 26c + -74

Reorder the terms:

31 + 19c = 26c + -74

Reorder the terms:

31 + 19c = -74 + 26c

Solving

31 + 19c = -74 + 26c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-26c' to each side of the equation.

31 + 19c + -26c = -74 + 26c + -26c

Combine like terms: 19c + -26c = -7c

31 + -7c = -74 + 26c + -26c

Combine like terms: 26c + -26c = 0

31 + -7c = -74 + 0

31 + -7c = -74

Add '-31' to each side of the equation.

31 + -31 + -7c = -74 + -31

Combine like terms: 31 + -31 = 0

0 + -7c = -74 + -31

-7c = -74 + -31

Combine like terms: -74 + -31 = -105

-7c = -105

Divide each side by '-7'.

c = 15

Simplifying

c = - 15

PLEASE HELP!
Thank you! :)

Answers

Answer:

1. W'(-4,2), X'(-1,2), Y' (-1,4), Z' (-4,4).

2. W"(4,-2), X"(1,-2), Y"(1,-4), Z"(4,-4)

RULE:

- If reflected an image over x-axis:

x stay the same, y change.

Ex: A(1,2)>>>x-axis= A'(1,-2)

- If reflected an image over y-axis:

x change, y stay the same.

Ex: B(3,4)>>>y-axis= B'(-3,4)

Hope you understand.

Write and solve an equation to find the value of x and the missing angle measures

Answers

Answer:

x=8

the top angle=120

the bottom angle=120

Step-by-step explanation:

angle rules say that those angles will be equal

therefore right the quation 14x+8=16x-8

and solve for x

Prime numbers have...
Less than two factors
More than two factors
Exactly two factors
Less than or equal to two factors

Answers

Answer:

(Exactly two factors)

Answer:(C) Exactly two factors

Step-by-step explanation:(C) Exactly two factors

During the first half of a football game, a running back ran for 9 total yards. In the second half, he ran for a loss of 12 yards. What was the running back's total yardage?

Answers

Answer:

21

Step-by-step explanation:

The running back's total yardage is 21 yards

From the question we are given the following parameters

Distance travelled in the first half of the game is 9 yards

Distance travelled in the second half of the game is 12 years

In order to determine the running back's total yardage, we will take the sum of the distance travelled as shown

Total distance travelled = 9 yards + 12 yards

Total distance travelled = 21 yards

Hence the running back's total yardage is 21 yards

Learn more here: https://brainly.com/question/22309443

The diagram shows a window in the shape of a square. Each side of the measures 8 √5 centimeters, and the area of the square is 32x square centimeters. What is the value of x?

Answers

Answer:

x = 10  

Step-by-step explanation:

recall that for a square with side length "L", the area of the square can be expressed as

Area = L x L

or

Area = L²

in this case we are given that Area, A = 32x

and that Side Length, L = 8√5

If we substitute these into the equation, we will get:

Area = L²

32x = (8√5)²   (using the properticals of exponents, we can re-write the right side)

32x = (8)² · (√5)²  

32x = 64 · 5

32x = 320   (divide both sides by 32)

x = 320 / 32

x = 10  

“CAN”
PLACE VALUE
How does the 5 in the tens place
compare to the 5 in the ones place?
3,055

Answers

Answer:

The 5 in the tens place is 10 times greater than the 5 in the ones place

Step-by-step explanation:

You can do 5*10 witch would get you 50 and 50 is 10 times greater than 5.

Answer:

  it has 10 times the value

Step-by-step explanation:

5 in the tens place is worth 5 tens, or 50

5 in the ones place is worth 5 ones, or 5

50 is 10 times 5.

The 5 in the tens place has 10 times the value of the 5 in the ones place.

find the value of x
115-5x-10

Answers

Answer:

i assume the question is 115-5x=10

Step-by-step explanation:

if yes then the answer will be

-5x=125

-5x/-5=125/-5

x=25

Find the GCF for the given list.
24x,12
The GCF is [_]?​

Answers

Answer:

GCF is 2 x 2 x 3 = 12

Step-by-step explanation:

to get the GCF of 24 and 12

you have to factor each value, then choose all the copies of

factor and times or multiply them.

so,

  24 = 2 2 2 3

   12 =  2 2    3

GCF =  2  2    3

therefore, the GCF is 2 x 2 x 3 = 12

hope it helps. good luck!

Jason traveled to Portland by carGoing there took 7 hours, and the return trip lasted 5 hours. Jason averaged a speed of 63 mph while returningFind the average speed of the trip there

Answers

Answer:

4.57 hours

Step-by-step explanation:

0.3 (2x+5x) = 4.2
How do you solve Decimal Equations? i need help again

Answers

Answer x=2
Step 1: Simplify both sides of the equation.
2.1
x
=
4.2
Step 2: Divide both sides by 2.1.
2.1
x
2.1
=
4.2
2.1

6532+76544*980766+9888-765655=

Answers

Answer:

75,071,003,569

Step-by-step explanation:

use pemdas

means we must multiply before adding and subtracting

6,532 + 76,544 × 980,766 + 9,888 - 765,655

6,632 + 75,071,752,704 + 9,888 - 765,655

now we add and subtract, starting from left to right

75,071,759336 + 9,888 - 765,655

75,071,769,224 - 765,655

75,071,003,569

Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%. What was the time, using exact interest? (Do not round intermediate calculations. Round up your answer to the nearest day.)

Answers

Answer:254 days

Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%. What was the time, using exact interest? (Do not round intermediate calculations. Round up your answer to the nearest day.)

Step-by-step explanation

Note that

Interest is represented by I=1326

The principal is represented by P=47,600

Rate is R =4%

And Time is year

Interest is calculated using the formulae,

I =PRT/100

From the above formulae, time can be calculated as

T=100I/PR

T= 100×1326/(47600×4)

T= 132600/190400

T= 0.6964 years

To convert to days, multiply by 365(since those no of days make a year)

T= 0.6964×365=254 days

This was approximated to the nearest day

Answer is 254 days

describe the sequence of translation used to move figure 1 onto figure 2

Answers

The shape moved over 10 and up three. Is this what you’re looking for?

What would the phrase "three times the sum of a number and 4" look like as a
variable expression?
3x +4
O3(3x +4)
O3(x + 4)
3x -4

Answers

The 3rd one, 3(x + 4)

-Зу = 7x - 21
Use intercepts to graph the line described by each equation

Answers

Answer:  to get the equation needed to graph the equation, divide tach term by -3 to isolate y. The  slope-intercept equation becomes

y = -7x/3 + 7

Step-by-step explanation:

Use the y-intercept to plot 7 on the y axis then plot a point down 7 and 3 to the right  (3,0) and draw the line through those points.

What would be the profit when the price is $35?

Answers

Step-by-step explanation:

The total expenses stay the same at $92,039.

The income changes to 12,000 × $35 = $420,000.

So the profit is $420,000 − $92,039 = $327,961.

Question 3
Now select point A, B, or D on the line segment and move the point while keeping the order of A, B, C, and
between the lengths of the line segments change?
В І о
x?
BE
X
Font Sizes
A-
А -
:
Characters used: 0 / 15000

Answers

Answer:

The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.

Step-by-step explanation:

this is the exact answer word for word, so id recommend to put it in your own words

ex. when i move one point the other points move so the lengths stay equal to each other

Answer:

The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.

Step-by-step explanation:

PLATO answer.

Gavins is making goodie bags for his little brothers party he is supposed to put the same number of candies into each bag there are 8 bags and he has 35 pieces of candy how many pieces will not be used in the goodie bags

Answers

Answer:

Four pieces of candy won't be used.

Step-by-step explanation:

Im a la fin du monde et la vie de mon père c’est pas

pls help me with this

Answers

Answer:

-18/4 and 18/-4 are equivalent the rest are not

Step-by-step explanation:

In how many ways can you select a committee of four students of a group of nine students?

Answers

Answer:

126

Step-by-step explanation:

n! / (r! (n-r)!)

In this case n = 9 and r = 4

9!/ (4! * (9-4)!)

9!/ (4! * 5!)

= 126

9! = 9x8x7x6x5x4x3x2x1

Why might you need to use the addition or subtraction property of equality more than once after you have used the distributive property and combined like terms?​

Answers

Answer:

If there is a variable term and a constant on each side of the equation, then you will need to use the addition or subtraction property of equality once to isolate the variable term and once to isolate the constant.

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