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
crimeas [40]
1 year ago
5

$15,074 is invested, part at 14% and the rest at 5%. If the interest earned from the amount invested at 14% exceeds the interest

earned from the amount invested at 5% by $1694.07, how much is invested at each rate? (Round to two decimal places if necessary.)
Mathematics
1 answer:
Flauer [41]1 year ago
4 0

The rate at 14% and 5% are $12, 883 and $2191 respectively.

<h3>How to determine the rate</h3>

Given that;

Invested amount = $ 15, 074 at 14% and 5%

Let rate at 14% = x

rate at 5% = y

We have rate at 9% exceeds that of 5% by $1694. 07

Hence,

0. 14x = 0. 05y + $1694. 07 ⇒ equation 1

x + y = $15, 074 ⇒ equation 2

Make 'x' the subject

x = 15, 074 - y

Substitute in equation 2

0. 14(15, 074 - y) = 0. 05y + $1694. 07

Expand the expression

2, 110. 36 - 0. 14y = 0.05y + 1694. 07

Collect like terms

416. 29 = 0. 19y

Make 'y' the subject

y = \frac{416. 29}{0. 19}

y = $2, 191

Substitute the value in equation 2

x + y = $15, 074

x = $15, 074 - y

x = $15, 074 - 2191

x = $12, 883

Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.

Learn more about simultaneous equations here:

brainly.com/question/16863577

#SPJ1

You might be interested in
Elijah can spend up to $23 on groceries. She wants to buy 3 pounds of tomatoes, 4 pounds of oranges, and x pounds of lean ground
Colt1911 [192]

Answer: 2 pounds

Step-by-step explanation:

Hope this helps!!! ; )

7 0
3 years ago
Alexandra has 78 emails in her box. she deletes 47 emails. How many emails are left in her box? Draw jumps and label the number
labwork [276]
There are 31 emails left in her box. Hope this helps!! :)
7 0
2 years ago
Read 2 more answers
Why is it important to know how to use area or volume in real life?
Jet001 [13]
It’s important because you may doing something that includes that and you don’t have a ruler etc..
4 0
3 years ago
Read 2 more answers
11. PLEASE HELP AND SHOW WORK
deff fn [24]

Answer:

C. 4.5

Step-by-step explanation:

Represent Macon to Albany on map with x

On map --- Real life

¼ inch ---- 5 miles

x inches ---- 90 miles

90 × ¼ = 5x

22.5 = 5x

22.5/5 = x

4.5 = x

3 0
3 years ago
Can somebody help me plz plz
Paul [167]

Answer:

a. Function; every x-value corresponds to only 1 y-value

b. Not a function; doesn't pass the VLT

c. Function, passes the VLT

2.

a. -200

b. x= -22.5

Step-by-step explanation:

Here is the basic rule for a function:

Every input (x) value goes only to one output (y) value.

For example, an x-value of 4 cannot go to y-values of both 2 and 4. {(4,2), (4,4)

a.

In a, we see that every x value has only one line- no x-value goes to two different y values, therefore, a is a function.

b. Remember that every x-value can only have one matching y value. This definition allows us to do a special test called the vertical line test (VLT). If we pass a vertical line through a graph (|) and it doesn't pass through two points at the same x value, then that graph is a function.

However, in this graph we can clearly see that this function DOES NOT pass the VLT.

(-2, 2) and (-2,-3)

c.

We're going to use the VLT once again. If we put a vertical line through the observable graph does any x value appear to have two or more y-values? No, so this is the graph of a function

2.

g(x)= 16 -4x

g(54) is the same as saying input 54 in for x, so

16- 4(54)

16- 216 = -200

a. -200

b.

So, g(x) = 106 and they want you to determine x.

Set g(x) equal to 106 and solve:

106= 16-4x

90 = -4x

x= -22.5

3 0
3 years ago
Other questions:
  • Help worth 25 points
    11·2 answers
  • Domain, first element, and y -value all have the same meaning.<br> True Or False
    9·1 answer
  • Bees are one of the fastest insects on Earth. They can fly 22 miles in 2 hours, and 55 miles in 5 hours. Write an expression to
    13·1 answer
  • Bess and Gina earn $45 per week for delivering flowers. Bess worked for x weeks and earned an additional total bonus of $20. Gin
    15·1 answer
  • You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e
    13·1 answer
  • Tim Worker estimates his taxable income will be $7,000. He is paid twice a month or 24 times a year. Because Tim has only one so
    15·1 answer
  • Jesus loves you all have a blessed morning
    7·1 answer
  • What is the slope of (4,8) and (10,7)
    9·2 answers
  • Solve 5x=80. (Round to three decimal places.)
    12·2 answers
  • What is the approximate area of rectangle GHIJ?<br> A: 902<br> B: 434<br> C: 672<br> D: 784
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!