Kiara invested $3,500 into two accounts. One account paid 5% interest and the other paid 7. 5% interest. She earned 6% interest on the total investment. How much money did she put in each account?.

Answers

Answer 1

The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.

What are the simultaneous equations that can be used to represent the question?

0.05a + 0.075b = (0.06 x $3500)

0.05a + 0.075b = $210 equation 1

a + b = $3,500 equation 2

Where:

a = amount invested in the account that paid a 5% interest

b = amount invested in the account that paid a 7.5% interest

How much was invested in the account that pays a 7.5% interest?

In order to determine this value, multiply equation 2 by 0,05

0.05a + 0.05b = 175 equation 3

0.025b = 35

b = $1400

How much was invested in the account that pays a 5% interest?

a + $1400 = $3500

a = $3500 - 1400

a = $2100

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552


Related Questions

A farmer can borrow $8,000 for planting supplies at the
County Co-op for 12 months at a simple interest rate of 9
percent. He can also borrow the same amount from the
City Bank in the County Seat for 12 months at a compound
interest rate of 6 percent.
Compute the missing information in the table:

Answers

Answer:

Bank A

interest = 1500*2*0.18= 540$

total owed = 1500+540= 2040$

Bank B

compound interest= 1881.6

total owed = 1500+1881.6= 3381.6$

Step-by-step explanation:

3


math



pls help geniuses!!
——————-
-

Answers

Answer:

C

= (-1.75,9)

Step-by-step explanation:

PLEASE HELP ASAP DUE 11:59 TODAY PLEASE ANSWER 6 and 7.​

Answers

Number 1 is:

C and E

Number 2 is:

400

Find the volume of a prism whose area of base is 15 cm2 and hight is 10 cm

Answers

Answer:

Step-by-step explanation:

V = Bh

V = 15(10)

V = 150 cm3

One equation in a system of equations with no solution is y=-20 +5.
Which equation could be the second equation in the system?

Answers

Answer:

the answerr is i9 dont know haha bum

Step-by-step explanation:

hahay

Answer:

B. 2x + y = 8

Step-by-step explanation:

y = -2x + 5 matches with 2x + y = 8, as they have same slope of "-2".

There you go, it is the second equation with y = -2x + 5.

Jake says that there should be a decimal point in the quotient 142.45 divide 1,925 after the 2.

Part A
Which equation shows the best estimate for the quotient?


A: 150 divide 10 = 15

B: 140 divide 10 = 14

C: 150 divide 5 = 30

D: 140 divide 7 = 20

How did u answer this?

Answers

Answer:

B

Step-by-step explanation:

If you did 1925 divided by 142.45 you get 13.51 so if you round it you get 14

Guys help I literally don’t know how to do this

Answers

Answer:

Ok, so to find the volume of a sphere, the volume is 4/3 (3.14 which is pie) times the radius cubed so r^3

so the radius of this sphere is 2 because 4-2=2

Step-by-step explanation:

so now we do 4/3 times 3.14 times 2^3 power=

now first we multiply 4/3 times 2 to the 3rd power bc we dont need to multiply pie (3.14) your answer would be 10.66667 so its 10.66667 pie (3.14) so round 10.66667 it would just be 10.7 because the 7 round up the 6 to a 7. Hope this helps!

A group of friends shared the cost of a printer. If John, Carl and Jason each paid $15, $25, and $112 respectively, then Carl paid what percent of the cost of the printer?

Answers

The percent of the cost of the printer Carl paid is 16.45%

The total cost of printer

Since John, Carl and Jason each paid $15, $25, and $112 respectively, the total cost of the printer is T = $15 + $25 + $112 = $152

Since Carl paid $25, we need to find the percent of the total amount Carl paid.

Percent Carl paid

So, percent Carl paid = amount Carl paid/total cost × 100 %

Since amount Carl paid = $25 and total cost = $152,

Substituting the values of the variables into the equation, we have

percent Carl paid = amount Carl paid/total cost × 100 %

percent Carl paid = $25/$152 × 100 %

percent Carl paid = 0.1645 × 100 %

percent Carl paid = 16.45%

The percent of the cost of the printer Carl paid is 16.45%

Learn more about percent here:

https://brainly.com/question/24877689

HELPPPPPPPPPP!!!!!!!

Answers

This might help if you have A then it will be a curved line which traces somewhat the line of the image good luck

Write the expression using exponents 5.2 • y • y • y =

Answers

Answer:

5.2y^3

Step-by-step explanation:

There are 3 y's which can be presented as y^3

5.2 times y^3 = 5.2y^3

( By the way, " ^ " is a square root sign )

Estimate the unit rate.
283 students in 11 classes

Answers

Answer:

So estimate.

Really depends on what needs to be estimated, the answer or the overall equation.
So doing the real one first.
283/11 = 25 8/11

You can’t have “part” of a student so rounding this you can go up since 8 is more then half of 11

So 26 students

If you were to round the overall equation then you’d get
280 / 10 which is 28 students per class

So two options.

Find the missing dimension of the triangle. Area is 5cm squared and the base is 4cm. what is the height.​

Answers

Answer:

  2.5 cm

Step-by-step explanation:

Put the given values into the area formula, and solve for height.

  A = 1/2bh

  5 cm² = 1/2(4 cm)h . . . . . . . . . . . . . fill in the values

  (5 cm²)/(2 cm) = h = 2.5 cm . . . . . divide by the coefficient of h

The height is 2.5 cm.

Sonia sells stuffed animals, She sells a stuffed dog for $25.10, and the sales tax is 4% of the sale price. About
how much is the sales tax on the dog?
A. $0.10
B. $1.80
C. $2.25
D. $1.00

Answers

Answer:

$1.004 so rounded it would be Answer D ($1.00)

Step-by-step explanation:

You multiply $25.10 by the decimal form of 4 percent, which gives you the tax.

25.10(.04)=1.004

1.004 is the tax, but with the way currency work, cents do not go to the thousandths place , so you round it to $1.00.

Incase you woudl also like to know, if you add that 1 dollar to the original price you get teh total price. which woudl be $26.10.

Find the minimum and maximum value for the function with the given domain interval

Answers

Step-by-step explanation:

1) the suggested function in the condition is hyperbola, that means

[tex]w_{min}(x)=w_{min}(x_{max}) \ and \ w_{max}(x)=w_{max}(x_{min});[/tex]

2) using this

[tex]w_{min}(x)=w_{min}(\frac{1}{7} )=7;[/tex]

[tex]w_{max}(x)=w_{max}(\frac{1}{12})=12.[/tex]

Please, help me. Thanks.
Subject: Hypothesis testing and margin of errors

Answers

Answer:

See below

Step-by-step explanation:

Problem 4

[tex]H_0:\mu=145\\H_a:\mu>145[/tex]

The null hypothesis, [tex]H_0[/tex], comes from the fact that the nurse initially thinks that the average height of 7th graders is equal to 145 cm.

The alternative hypothesis, [tex]H_a[/tex], comes from the fact that the average height may be greater than 145 cm since the nurse measured the average height to be 147 cm from the random sample.

Problem 5

[tex]H_0:\mu\geq273\\H_a:\mu<273[/tex]

The null hypothesis, [tex]H_0[/tex], comes from the fact that the manufacturer initially thinks that the mean lifetime of a certain type of batteries is at least 273 hours.

The alternate hypothesis, [tex]H_a[/tex], comes from the fact that the sample taken may show that it's actually less given a sample mean of 270.5 hours.

Problem 6

The mass population data set would be most suitable because the average score of a test comes from all those who have taken the test while the sample is the class with 25 students. That sample represents the population of all those that have taken the test.

Problem 7

Because it would take a lot of time and money to check every single child in Africa, it would make the most sense to use the sample data set where your samples come from each village and those samples have the children from each village.

Problem 8

This is a population characteristic because the sample that Sarah took for the average number of children per family represents the entire population.

Problem 9

This is a sample characteristic because the size of the sample was clearly large, this was a study, and other claims made.

You started the trail with 550lbs. of food.

You now have 232lbs. of food.

What percentage of your starting
amount do you have left?

Answers

Answer:

42%

Step-by-step explanation:

232 divided by 550= 0.42

0.42=42%

I do not understand this can y’all help me

Answers

n=3

Step-by-step explanation:

24=3n-15

9=3n

3=n

Answer:

n = 13

Step-by-step explanation:

24 = 3(n - 5)

divide each side by 3

8 = n - 5

add 5 to each side

13 = n

check your work

24 = 3(13 - 5)

24 = 3(8)

24 = 24

30. A store company is going to close one of its two stores and combine all the inventory from both stores. The polynomials below represent the inventory in each store. Which expression represents the combined inventory of the two stores? ​

Answers

Answer:

A

Step-by-step explanation:

hope this helps :)

There are 30 students in Mrs. Bristow‘s class. 20% of the students receive a gold ticket on the last quiz. How many students receive a golden ticket?

Answers

Answer:

6

Step-by-step explanation:

20% of 30 is 6. You can figure this out because 100 divided by 20 is 5, so you do 30 divided by 5, which is 6

20% is 1/5 1/5 x 30/1 = 30/5 = 6 6 is ur answer

7x-4y=37 6x+3y=51 please​

Answers

Step-by-step explanation:

2 equations with 2 variables.

either we use 1 equation to express 1 variable by the other and bring this into the second equation to solve for the second variable.

or we do equation arithmetic (subtract one equation from the other so that one variable disorders in the result, and solve for the remaining variable).

since the factors and constants don't seem to be multiples or share nice factors with each other, I suggest the second way.

7x - 4y = 37

6x + 3y = 51

multiply the first equating by 3, and the second one by 4, and then add both equations :

21x - 12y = 111

24x + 12y = 204

------------------------------

45x + 0 = 315

x = 7

then we use one of the original equations to get y :

7×7 - 4y = 37

49 - 4y = 37

12 = 4y

y = 3

Tarantulas are one of the largest spiders on Earth. A
tarantula can grow to be about 6.8 centimeters long.
A spitting spider can grow to be about 0.9 centimeters long.
About how much longer are the largest tarantulas than the
largest spitting spiders?

Answers

Tarantulas are 5.9 centimeters longer.

witch of polygon B,C,D,Eand F are similar to Polygon A. Please choose All that apply

Answers

Answer:

Polygon B

Step-by-step explanation:

If you look at polygon B although it looks bigger it's still the same as A

WILL MARK BRAINLIST
Find 24% of 450.

Answers

Answer:

108

Step-by-step explanation:

450*0.24

Please answer this question correctly thank you

Answers

Step-by-step explanation:

9% of 200 = 1840% of 120 = 4845% of 90 = 40.5

Written as a rate, 32 miles in 8 hours would be ____ miles per hour.

Answers

Answer:

4 mph

Step-by-step explanation:

If you divided 32 by 8 you get 4.

The area of a rectangle is 17 1/2 square and it’s shorter side is 3 1/2 in. Draw a diagram that shows this information. What is the length of the longer side.?

Answers

Answer:

The area of a rectangle is 17 1/2 in and it’s shorter side is 3 1/2in.draw a diagram that shows this information. What is the length of the longer side

Step-by-step explanation:

Solve for x in the diagram below.

Answers

Answer:

x = 12

Step-by-step explanation:

(6x-2) + 20 = 90

6x-2 = 70

6x = 72

72 / 6 = 12

x = 12

help help help help ​

Answers

Answer:

x=30 ; y=60 ; z=120.

Step-by-step explanation:

(we can solve it in a system.)

z+2x=180 => z=180-2x
y+4x=180 => y=180-4x

y+z=180

4x+2x=180 => 6x=180 => x=30

<=>


z=180-2*x=180-2*30=180-60=120

y=180-4x =180-4*30=180-120=60


Graph 0.04x+0.02y=0.08.

Answers

Answer:

help me please

Step-by-step explanation:

pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls

a convex hexagon has exterior angles of 33°, 38°, 27°, 43°, and 60°. what is the measure of an exterior angle at the sixth vertex.

Answers

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