Santiago has $6000 spread across his 3 accounts. He has a checking account which pays 2% interest, a savings account that pays 5% interest, and a money market account which pays 7% interest. At the end of 1 year, he earned a total of $355 in interest. If he put $2300 less in his savings accout than his money market account. Find how much money Santiago put into each account

Answers

Answer 1

Answer:

Santiago put $700 into a checking account, $1,500 into a savings account and $3,800 into a money market account.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y+z=6000 (1)

0.02x+0.05y+0.07z=355 (2)

y=z-2300 (3)

First, you have to replace (3) in (1) and (2):

x+z-2300+z=6000

x+2z=8300 (4)

0.02x+0.05(z-2300)+0.07z=355

0.02x+0.05z-115+0.07z=355

0.02x+0.12z=470 (5)

Now, you have 2 equations:

x+2z=8300 (4)

0.02x+0.12z=470 (5)

Then, you can solve for x in (4):

x=8300-2z (6)

After this, you have to replace (6) in (5):

0.02(8300-2z)+0.12z=470

166-0.04z+0.12z=470

0.08z=304

z=3800

Now, you can replace z in (6) to find x:

x=8300-2(3800)

x=700

Finally, you can replace z in (3) to find y:

y=3800-2300

y=1500

According to this, the answer is that Santiago put $700 into a checking account, $1,500 into a savings account and $3,800 into a money market account.


Related Questions

Given: K is the midpoint of JL, M is the midpoint of LN,
JK = MN
Prove:
KL

LM

Answers

Answer:

Given that JK = MN, JK = KL, and LM = MN, therefore, by transitive property, we have;

KL ≅ LM

Step-by-step explanation:

The given information are;

The midpoint of the segment JL = The point K

The midpoint of the segment LN = The point M

Given that JK = MN

The two column proof is given as follows;

Statement [tex]{}[/tex]               Reason

1) JK = KL  [tex]{}[/tex]               Definition of the midpoint of segment JL

2) LM = MN  [tex]{}[/tex]            Definition of the midpoint of a segment LN

3) JK = MN   [tex]{}[/tex]            Given

4) KL ≅ LM   [tex]{}[/tex]            Transitive property.

Which number is farther from 0 -325 1.3

Answers

-325 ! Numbers that are on the left (negative ) are always the greatest number which would make it farthest from 0

HELP ME AND MAKE IT QUICK PLEASE.

Problem 3
Highlight your answer
Which of these sets of angle measures could be the three angles in a triangle?
A: 40, 50, 60
B: 50-, 60, 70 -
C: 60, 70, 80
D: 70, 80, 90

Answers

Answer:

B

Step-by-step explanation:

the sum of angles of triangle=180

B: 50+60+70=180

2
Francis ran
2 3/5 miles in 7/12 of an hour
. How many miles can Francis run in one hour?
ОА.
35
156
B.
18
35
C.
4
OD. 221 14

Answers

Answer:

B

18

35

harus di cari sendiri jalannya

Find the length of AB if AC=18 and BC=7

Answers

Answer:

25

Step-by-step explanation:

Step 1:

AC + BC = AB       Equation

Step 2:

18 + 7 = AB     Substitute

Answer:

25     Add

Hope This Helps :)

PLEASE SOMEONE HELP ASAP FIRST TO ANSWER ILL GIVE THEM THE BRAIN CROWN PLEASEEEE
If x=5 and y=7 to one significant figure, find the largest possible and smallest value of:

(I) x+y
(ii) y-x
(iii) x/y

Answers

Answer:

Answer down below.

Step-by-step explanation:

1) x+y (5+7=13)

2) y-x (7-5=2)

3) x/y (5/7) (five-sevenths)

A troop leader recorded whether the members from two troops prefer hiking or swimming. He plans to create a two-way table to display his results. Which describes the variables he can use in the first row and first column to create his table?
troop number and number who prefer hiking
troop number and activity preference
activity preference and number of troop 1 members
activity preference and number of troop 2 members

Answers

Answer:

B: troop number and activity preference

Step-by-step explanation:

I took the quiz :)

Answer:

The answer would be B. troop number and activity preference

Step-by-step explanation:

I took the test.

The question is in the picture

Answers

Answer:

no clue sorry.

Find -3- (-5).
The difference is ?

Answers

Answer:

Step-by-step explanation:

-3 + 5 = 2

What is the range of 1,2,2,3,3,4,4
a. 1
b.2
c.3
d.4

Answers

The answer would be C. 3

You find range by subtracting the highest number minus the lowest number.

Grayson had 3.75 yards of fabric. He used 4/5 of the fabric. How many yards of fabric did Grayson use:

Answers

Answer:

3

The answer is 3 because:

4/5 of 3.75 is 3.

So, the answer should be 3.

Hope it helps!

Answer is 3 for sure

To estimate what percent of people in the US wash their hands after using a public restroom, researchers pretend to comb their hair while observing 6000 people in public restrooms throughout the United States. They found that 85% of the people who were observed washed their hands after going to the bathroom. Could there be any sources of sampling bias in this study?

Answers

Answer:

30%

Step-by-step explanation:

pls help :(
I dont get this

The lunch lady has 4 pounds of lasagna left over. If she makes 1/3 pound servings, how many servings of
lasagna can she serve with the amount left over?

Answers

12 servings of this doesn’t make sense comment and i will explain it!

Answer:

If she has four pounds left over of lasagna and she's making 1/3 pound servings which means she giving 1/3 pound serving per person she is giving 12 people 1/3 serving of lasagna each! if you wanna know how to get the 12 people all ya gotta do is see how many times 1/3 goes into four, which is 12 times, have a nice day!!

Step-by-step explanation:

hope this was helpful

Write 230,000,000,000 in scientific notation.

Answers

Answer:

4?

Step-by-step explanation:

Please hurry, I'll mark brainliest!!! Write the sentence as an equation. 10 is the same as the total of q and 174

Answers

The equation is 10=q+174

simplify honestly : 3a(2a-x+1) please

Answers

Answer:

6a2-3ax+3a

Step-by-step explanation:

Answer:

6a² - 3ax + 3a

Step-by-step explanation:

3a(2a-x+1)

= 6a² - 3ax + 3a

0.04x -0.06y=0.48
0.08x-0.11 y=0.92

Answers

Answer:

0.04x -0.06y=0.48

x = 1.5y + 12

0.08x-0.11 y=0.92

x = 1.375y + 11.5

Hope this helps!

What is the image point of (7,0) after a translation right 5 units and down 5 units?

Answers

Answer:

(12, - 5 )

Step-by-step explanation:

A translation of 5 units right means adding 5 to the x- coordinate

A translation of 5 units down means subtracting 5 from the y- coordinate

Thus

(7, 0 ) → (7 + 5, 0 - 5 ) → (12, - 5 )

43 (x) =48
Could you explain how to do it please?

Answers

If this means 43 times x equals 48, you would divide 48 by 43 to get 1.11627907. This way, when you do the original equation, 43 (1.11627907) = 48 is true.

what is -5x-1=-2x+14

Answers

Answer:

x= -5

Step-by-step explanation:

Isolate the variable by dividing the factors that don't contain the variable.

Hope this helps. Plz give brainliest.

Enrique is measuring the mass of a flower petal. Which unit of measurement should he use to eliminate the need to write the value in scientific notation? grams. centimeters. liters. kilograms.​

Answers

Answer:

Grams

Step-by-step explanation:

Edg. 2020 :D

Answer:

grams

Step-by-step explanation:

what is the volume of this figure?help asap!!!!!

Answers

Answer:

50

Step-by-step explanation:

Answer:

vol. = 875 ft³

Step-by-step explanation:

you to divide the figure into 3 parts (see attached image)

volume = L*W*H

where:

L = 5 ft

W = 5 ft.

H = 10 + 15 + 10 = 35 ft.

plug in values into the formula:

vol. = 5 x 5 x 35

vol. = 875 ft³

Find the midpoint of the line segment with the endpoints (−8,5) and (6,3).

Answers

Answer:

(-1,4)

Step-by-step explanation:

Half way on the line

(-1,4) thats the answer

lenny is reading a novel for his english class. he has read 168 pages of the 480 pages. what percent of the book has he read?

Answers

The answer your looking for is 35%

"The sum of a number and 4."

Answers

Answer:

n + 4

Step-by-step explanation:

It´s like a normal sum, but since the number is unknown just put n.

Answer:

x +4

Step-by-step explanation:

it can really be any letter you choose

Please help me i dont understand this. I dont get it or at least explain to me. please ​

Answers

Answer:

what grade is this

Step-by-step explanation:


A stadium sells 2,000 tickets for $15 and 4,000 tickets for $10. What is the average price per ticket?

Answers

Answer:

$11.66

Step-by-step explanation:

To find the average price, you need to find the total revenue, then divide that by how many tickets were sold.

2,000 * 15 = ? --> 30,000

*To find how how much money was made from the $15 tickets*

4,000 * 10 = ? --> 40,000

*To find how how much money was made from the $10 tickets*

30,000 + 40,000 = ? --> 70,000

*To find the total revenue*

2,000 + 4,000 = ? --> 6,000

*To find the total amount of tickets sold*

70,000 / 6,000 = ? --> 11.66666...

Average price per ticket

The average price per ticket is the ratio of the Cummulative earning and the total number of tickets sold, Hence, average price per ticket is $11.67

The Cummulative earning :

(4000 × $10) + (2000 × $15) = $70000

Total number of tickets sold

(2000 + 4000) = 6000 tickets

The average price per ticket :

$70000 ÷ 6000 = $11.67

Therefore, the average price per ticket is $11.67

Learn more : https://brainly.com/question/18109354

what is the value of x in the equation 8x-2y=48 when y=4

Answers

8x-2y = 48 equals x=7

Answer:

7

Step-by-step explanation:

8x-2y=48 8x-2(4)=48. The Y=4. so you replace the y. 8x-8=48. multiply it +8 +8. get rid of the eight 8x=56. divide it!

÷ ÷

8. 8

The answer is 7

5x-3)-7(x-2)=2(4x+3)-3(2x-4)+1

x=-2

PLS VERIFY IT
DO THE OPERATION TO VERIFY IT

I HAVE 10 MINS LEFT

Answers

(5x-3) - 7(x-2) = 2(4x+3) - 3(2x-4) + 1

5x - 3 - 7x + 2 = 8x + 6 - 6x + 4 + 1

-2x -1 = 2x + 11

-4x = 12

x = -3

Hope this helps! :)

i need this answered asap

Answers

Answer :

[tex]p = 169[/tex]

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