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
Vlada [557]
3 years ago
6

Martina invested her savings in two investment funds. The $12,000 that she invested in Fund A returned a 5% profit. The amount t

hat she invested in Fund B returned a 1% profit. How much did she invest in Fund B, if both funds together returned a 4% profit?
Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

we know she invested 12000 in A, and say "b" dollars in B, so the total amount invested or principal must be 12000 + b.

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{3em}\underset{\textit{\Large profit from A}}{\stackrel{\textit{5\% of 12000}}{\left( \cfrac{5}{100} \right)12000}}\implies 600~\hfill \underset{\textit{\Large profit from B}}{\stackrel{\textit{1\% of "b"}}{\left( \cfrac{1}{100} \right)b}\implies 0.01b}

we also know that those profits added together, yielded only 4% of the total amount invested, namely 4% of (12000 + b), which will be 0.04(12000 + b).

\bf \stackrel{\textit{\Large returned profits}}{\stackrel{A}{600}+\stackrel{B}{0.01b}~~=~~0.04(12000+b)}\implies 600+0.01b=480+0.04b \\\\\\ 120+0.01b=0.04b\implies 120=0.03b\implies \cfrac{120}{0.03}=b\implies \boxed{4000=b}

You might be interested in
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Olin [163]

Answer:

Step-by-step explanation:

X is 1 y is -4

Which gets the following:

X(1) + y(-4) = -3

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

3 0
3 years ago
Read 2 more answers
Conduct a hypothesis test to test the hypothesis that cloud seeding with silver nitrate increases rainfall. Use significance lev
masya89 [10]

Answer:

Paired t-test

Step-by-step explanation:

paired t–test is used  when there is one measurement variable and two nominal variables. The most common design is that one nominal variable represents individual organisms, while the other is "before" and "after" some treatment.

6 0
3 years ago
Write and solve a real-world additional problem including the sum of a rational number and it's additive inverse?
Harrizon [31]
  1. If Kayla has a red ribbon with length 25  9 m and piece of 5 7 m is cut from it and gave to Sania . Find how much long ribbon left with her?                                                                                                                                                                                                                      
  • Kayla has a ribbon of length = 25 9 m.
  • Part of ribbon give to Sania = 5 7 m.
  • So, the length of the ribbon left =25 9 m - 5 7 m = 175  63 = 130  63 m
  • So , the ribbon left with Kayla is 2.06 m .








7 0
3 years ago
50 points! Mhanifa please help! I would appreciate it! Random answers will be reported!
alisha [4.7K]

Answer:

x = 4, ∠I = 33°

Step-by-step explanation:

<u>Question 1</u>

Converse to Base Angles Theorem: 28 = 9x - 8,

28 = 9x - 8 (add 8 to both sides)

9x = 36 (divide both sides by 9)

x = 4

<u>Question 2</u>

Since the triangles are congruent, ∠A ≅ ∠G:

∠A = 55 = ∠G

If we consider triangle ALX we have ∠L = 180-55-92 = 33°

And since ∠L ≅ ∠I, ∠I = 33° respectively

4 0
2 years ago
Read 2 more answers
W trójkącie ABC połączono wierzchołek C z punktem D który jest środkiem boku AB . Wyznaczono równierz środek odcinka CD punkt E
qwelly [4]
Translate into English please
8 0
3 years ago
Other questions:
  • Classify the following triangle
    5·2 answers
  • 3х - бу = -24<br>how do I get the x and y intercepts?​
    13·1 answer
  • What process do you use to find the percent change of a quantity?
    14·1 answer
  • The sum of two numbers is 42. one number is 2 times as large as the other. what are the numbers?
    10·2 answers
  • animals at a petting zoo: chickens 2, deer 4, donkey3, goats6 what is the ratio of goats to the number of animals
    14·1 answer
  • HELP PLEASEEEE ASAPPPPP PLEASEEEEEEEEEEEEEEEEEEE
    6·1 answer
  • Given the two parallel lines determine the value of x
    6·1 answer
  • If these two trapezoids are similar, what is the measure of the missing angle?​
    12·1 answer
  • 3+1905=x . .......................
    8·1 answer
  • What is the answer to 4 1/10 -1 4/5
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!