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
prisoha [69]
3 years ago
10

Larry Mitchell invested part of his $23,000 advance at 3% annual simple interest and the rest at 7% annual simple interest.His t

otal yearly interest from both accounts was $810 find the amount invested at each rate
Mathematics
1 answer:
leonid [27]3 years ago
7 0

Answer:

$20,000 into the account earning 3% interest

$3000 into the account earning 7% interest

Step-by-step explanation:

let "a" be the account that earns 3% annual simple interest

let "b" be the account that earns 7% annual simple interest

Create two equations to represent the total investment and interest:

a + b = 23,000

0.03a + 0.07b = 810

When two or more equations have the same variables, it is called a "system" and you can solve for the variables.

Solve using the method substitution.

Rearrange one of the equation so that one variable is isolated

a + b = 23,000

a = 23,000 - b

Substitute "a" for 23,000 - b in the other equation

0.03a + 0.07b = 810

0.03(23,000 - b) + 0.07b = 810    Distribute over the bracket

690 - 0.03b + 0.07b = 810      Combine like terms (with the variable "b")

690 + 0.04b = 810       Start isolating "b" by subtracting 690 on both sides

0.04b = 120        Divide both sides by 0.04

b = 3000         Investment in 7% interest account

Substitute "b" for 3000 in the simpler equation to find "a"

a + b = 23,000

a + 3000 = 23,000     Subtract 3000 from both sides to isolate "a"

a = 20,000        Investment in 3% interest account

Therefore Larry Mitchell invested $20,000 into the account earning 3% annual simple interest and $3000 into the account earning 7% annual simple interest.

You might be interested in
I need helppp what is the blue line called in the circle??
andrezito [222]

Answer: B: diameter

Step-by-step explanation:

The blue line the goes across the shape is called the diameter

Hope this helps ;)

8 0
2 years ago
Read 2 more answers
4 x ? is close to 105
Serga [27]
Do you have a picture to your problem ?
6 0
2 years ago
Read 2 more answers
The question is:
kifflom [539]
Pythagoras theorem is  c^2 = b^2 + a^2

so when you plug in the numbers its 12^2 + 5^2 =169
which means 144+24=169

square root 169 = 13

AB =13 cm



hope this helps I tried my best. xx
6 0
3 years ago
The table lists several points that form a line on a coordinate plane.
omeli [17]

Answer:

Slope is 1/4 (0.25) while y-intercept is 5

Step-by-step explanation:

Here, we are interested in getting the y intercept and slope of the line joining the given points.

We can get the slope by using any two points

Let’s say (4,6) and (12,8)

Mathematically; slope

= (y2-y1)/(x2-x1) = (8-6)/(12-4) = 2/8 = 1/4 = 0.25

To get the y-intercept, we proceed

kindly recall that the equation of a straight line is;

y = mx + c

where m is the slope and c is the y-intercept

Let’s take any of the points (28,12)

Thus:

12 = 0.25(28) + c

12 = 7 + c

c = 12-7

c = 5

6 0
3 years ago
Part 3 - Discussion/Explanation Question
SpyIntel [72]

Step-by-step explanation:

Vertical asymptote can be Identites if there is a factor only in the denominator. This means that the function will be infinitely discounted at that point.

For example,

\frac{1}{x - 5}

Set the expression in the denominator equal to 0, because you can't divide by 0.

x - 5 = 0

x = 5

So the vertical asymptote is x=5.

Disclaimer if you see something like this

\frac{(x - 5)(x + 3)}{(x - 5)}

x=5 won't be a vertical asymptote, it will be a hole because it in the numerator and denominator.

Horizontal:

If we have a function like this

\frac{1}{x}

We can determine what happens to the y values as x gets bigger, as x gets bigger, we will get smaller answers for y values. The y values will get closer to 0 but never reach it.

Remember a constant can be represent by

a \times  {x}^{0}

For example,

1 = 1 \times  {x}^{0}

2 =  2 \times {x}^{0}

And so on,

and

x =  {x}^{1}

So our equation is basically

\frac{1 \times  {x}^{0} }{ {x}^{1} }

Look at the degrees, since the numerator has a smaller degree than the denominator, the denominator will grow larger than the numerator as x gets larger, so since the larger number is the denominator, our y values will approach 0.

So anytime, the degree of the numerator < denominator, the horizontal asymptote is x=0.

Consider the function

\frac{3 {x}^{2} }{ {x}^{2}  + 1}

As x get larger, the only thing that will matter will be the leading coefficient of the leading degree term. So as x approach infinity and negative infinity, the horizontal asymptote will the numerator of the leading coefficient/ the leading coefficient of the denominator

So in this case,

x =  \frac{3}{1}

Finally, if the numerator has a greater degree than denominator, the value of horizontal asymptote will be larger and larger such there would be no horizontal asymptote instead of a oblique asymptote.

8 0
2 years ago
Other questions:
  • A survey of high school students showed that 63% of students plan to take college courses after graduation predict how many of t
    14·1 answer
  • Solve for x. step by step please show the work<br> x+(-4) =10
    5·1 answer
  • For 2 weeks, Gabrielle raised money by selling magazines. She raised $72 during the second week, which brought her total to $122
    12·2 answers
  • A truck's distance from a warehouse, d , (measured in miles) is modeled by the formula d = t 2 + 70 t where t represents the num
    7·1 answer
  • Really need help !!!!:(
    7·1 answer
  • Please helpppppp!!! ASAP
    5·1 answer
  • Use the terms 4, 12a 6 2a and 24 to make equivalent expressions use each term only once use substitution to prove that the expre
    8·1 answer
  • How do i solve for x and y <br> 4x+y=8<br> x=5-y
    15·1 answer
  • Write 21/25 as a percent.
    8·2 answers
  • 7 1/8 - 5 2/3 = <br><br> Whois I’ve answer to this problem in fraction form? Step by step please?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!