1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
viva [34]
3 years ago
7

Nico is saving money for his college education. He invests some money at 6​%, and ​$1600 less than that amount at 4%. The invest

ments produced a total of ​$156 interest in 1 yr. How much did he invest at each​ rate?
He invested ​$___ at 6​% and ​$___ at 4​%.
Mathematics
1 answer:
strojnjashka [21]3 years ago
7 0
Let's say the amounts are "a" and "b"
                                      6%       4%

now... we dunno what "a" is, but nevermind, whatever that is, "b" invested at 4%, is 1600 less than that or less than "a", namely b = a - 1600

so.. "a" is the bigger amount than "b" by 1600, but no matter

what is 6% of a? well, 6/100 * a or 0.06a, that's how much it yielded
what is 4% of b? well, 4/100 * b, or 0.04b, that's much it earned in interests

we know, their yield, or total in earned interest is 156, so.. whatever those yields are, they add up to 156 or

0.06a + 0.04b = 156

now      \bf \begin{cases}
\boxed{b}=a-1600\\\\
0.06a+0.04b=156\\
----------\\
0.06a+0.04\left( \boxed{a-1600} \right)=156
\end{cases}

solve for "a", to see how much was invested at 6%

how much is "b"?  well, b = a - 1600
You might be interested in
Pleas help me find the area of this compound shape I will give you loads of points
worty [1.4K]

Answer:

62

Step-by-step explanation:

4*7 = 28

(14 - 1 - 4) * (7 - 4) = 27

1 * 7 = 7

7 + 28 + 27 = 62

4 0
2 years ago
Read 2 more answers
A bag grass seed covers 3750 square feet and costs $27.50. If a gardener is reseeding a city park that has the shape of a right
solmaris [256]

Answer:

C = (13.75 * B * H)/3750

Step-by-step explanation:

The area of a triangle is represented by the equation A = 1/2 * B * H

Every time another 3750 square feet is covered, $27.50 is spent. So, we can represent the cost using the equation C = A/3750 * 27.50

Plugging in the base and height, C = (1/2 * B * H * 27.50)/3750

C = (13.75 * B * H)/3750

4 0
2 years ago
Read 2 more answers
Can you plz help I need help because I kinda don’t get it plz help
dmitriy555 [2]

Answer:

Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. ... A straight line will result from a simple linear regression analysis of two or more independent variables as you know..A line of best fit (or "trend" line) is a straight line that best represents the data on a scatter plot. This line may pass through some of the points, none of the points, ... The Line of Best Fit is an independent online magazine based in London, concentrating on new music. It publishes independent music reviews, features, interview, and media, so there may be different things about it! try to add it or try different ways to connect it

Step-by-step explanation:

5 0
3 years ago
Find the volume of the cone round to the nearest tenth
svlad2 [7]

Answer:

pi*2^2*2sqrt3/3

if pi=3

8sqrt3

Step-by-step explanation:

5 0
2 years ago
The school that Joe goes to is selling tickets to a choral performance. On血e first day of ticket
ArbitrLikvidat [17]

Answer:

The price of one senior citizen ticket is $8, and the price of one child ticket is $11.

Step-by-step explanation:

You are looking for two things: the price of a senior citizen ticket and the price of a child ticket.

We need to write two equations using two variables.

Let s = price of 1 senior citizen ticket.

Let c = price of 1 child ticket.

First day of ticket sales:

6 senior citizen tickets, 8 child tickets, total sales of $136

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 8 tickets cost 8c.

The total sales is 6s + 8c.

The total sales is $136, so our first equation is

6s + 8c = 136

Now we do the same for the second day of ticket sales.

6 senior citizen tickets, 9 child tickets, total sales of $147.

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 9 tickets cost 9c.

The total sales is 6s + 9c.

The total sales is $147, so our second equation is

6s + 9c = 147

The system of equations is

6s + 8c = 136

6s + 9c = 147

Multiply both sides of the first equation by -1. Write the second equation below it. Then add the equations.

       -6s - 8c = -136

(+)     6s + 9c = 147

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

                  c =   11

c = 11, so the cost of a child ticket is $11.

Now substitute 11 for c in the first equation, and solve for s.

6s + 8c = 136

6s + 8(11) = 136

6s + 88 = 136

6s = 48

s = 8

The price of a senior citizen ticket is $8.

The price of a senior citizen ticket is $8, and the price of a child ticket is $11.

6 0
3 years ago
Other questions:
  • Ashley’s Phone bill went from 32.25 to 18.70 what was the percent of decrease? Plz help a little confused...plz explain how you
    10·1 answer
  • Arrange the numbers from least to greatest<br><br> -0.43, -0.34, -4/9, -2/7, -0.434
    9·1 answer
  • Four times the difference of 15 and 6
    13·1 answer
  • Help!!! 10 points dhdhdhhhshmsmhsm
    13·1 answer
  • The total number of lollipops Eric buys from a store is given by 6×7. Braxton says that Eric buys 6 packs of lollipops with 7 lo
    8·1 answer
  • How many cubes are colored on one side when there are 729 cubes that form a 9 x 9 x9 cube
    8·1 answer
  • Find all missing angles.
    14·1 answer
  • What is the mode: 18,21,22,18,19
    13·1 answer
  • Find the area of the shaded portion in each of the following​
    15·1 answer
  • Simplify 1/2x - 2/3 + 7/8x + 5/6
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!