An investor invested a total of ​$3,000 in two mutual funds. One fund earned a 7​% profit while the other earned a 3​% profit. If the​ investor's total profit was ​$142​, how much was invested in each mutual​ fund?

Answers

Answer 1

Answer:

Step-by-step explanation:

x= fund that got 7%

y= fund that got 3%

x+y=3000

.07x+.03y=142

y=3000-x

.07x+.03(3000-x)=142

.07x+90-.03x=142

.04x=52

x= 1300

x+y=3000

1300+y=3000

y=1700

1300 in the fund that earned 7%

1700 in the fund that earned 3%


Related Questions

Helppppppppplplppppai

Answers

Answer:

D.

Step-by-step explanation:

Well, here we look at the frequency to determine probability. As a dice has 3 even and odd numbers, the probability shall be gotten by dividing the total number of frequencies for even numbers (2,4,6) by the total number of trials.

i.e (10+10+9)/50

so the probability is 29/50 or 0.58 or 58%

Since the probability of getting even numbers is 0.58 and since the total probability is always 1, we can clearly see that the probability of one rolling an even number as per the sample is higher than that of rolling an odd number.

What is the distance between the points (3,7) and (15,6) on a coordinate plane ?

Answers

Answer:

12.04

Step-by-step explanation:

the distance between two points in the x-axis

15-3 = 12

the distance between two points in the y-axis

7-6=1

using Pythagorean theory

a²+b²=c²

12²+1²=c²

144+1=c²

145=c²

√145=√c²

12.04=c

Evaluate the expression below when a = 5 and b = 2: a (10b - 2a).

Answers

100-50 (not too sure)
Explanation:
5(10(2)-2(5))
5(20-10)
100-50

Answer:

50

Step-by-step explanation:

First, substitute the 2 given values into the expression.

a ( 10b - 2a )

5 ( 10(2) - 2(5) )

Simplify to the lowest terms possible, without distributing.

5(20-10)

Distribute 5 into each term.

100-50 or 20(5)-10(5)

=50

 Find the perimeter. Simplify the answer

Answers

[tex]Perimeter = \\ 9v - 7 + v + 10 + 9v - 7 + v + 10 \\ = 9v - v + 9v + v - 7 + 10 - 7 + 10 \\ = 8v + 10v - 17 - 17 \\ = 18v - 34[/tex]

- BRAINLIEST answerer

а
Find the length of side x in simplest radical form with a rational denominator.
\30
X
60°
3

Answers

Answer:3√3

Step-by-step explanation:

tanx=opp/adj

tan60=x/3

make x the subject: 3 × tan60= x

x= 3√3 or 5.196 in decimals

Additional questions!!! Please help, due today!!!

Answers

Answer:

A.

Step-by-step explanation:

?

put a factor back into the square root.

[tex]3 \sqrt{2a}[/tex]

Answers

Answer:

sqrt(18a)

Step-by-step explanation:

3^2=9

2*9=18

sqrt(18a)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The factor that can be put back into the square root is 9.

√(2 x 9 x a) = √(18a) = 3√(2a)

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3√(2a)

A factor that can be put back into the square root is 9.

√(2 x 9 x a) = √(18a) = 3√(2a)

3² = 9

Thus,

The factor that can be put back into the square root is 9.

√(2 x 9 x a) = √(18a) = 3√(2a)

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Evaluate the expression m+np−q if m=1/15, n=−1/3, p=−0.4, and q=2 1/3. Express your answer as a decimal. Use bar notation if necessary.

Answers

Answer:

-2.4, or -72/30 or -2 4/10

Step-by-step explanation:

m + np - q

m = 1/15

n = -1/3

p = -0.4

q = 2 1/3

1/15 + (1/3)(-0.4) - 2 1/3

1/15 + (-4/30) - 2 1/3

2/30 - 4/30 - 70/30

-2/30 - 70/30 = -72/30

-72/30 = -2.4

-Chetan K

The line passes through (10,5) and (5,20)

Answers

Answer:

0

Step-by-step explanation:

Equation of the line

(5 15) and (10 20)

Slope of the line is m =(20-15)/10-5 =5/5 =1

The line passes through (5 15)

Y-15=1(x--5)

x-y= --10

The equation of the line is

x-y+10=0

Find the value of 15/4 ÷ 5/8

Answers

Answer:6

Step-by-step explanation:

when dividing by a fraction. you can multiply by its reciprical

15/4 *8/5

(15*8)/(4*5)

120/20

If you need to simplify

6

EDIT: answer above got this right before me. for some reason I did 8*5 as 30  :/

uppose a normal distribution has a mean of 16 and a standard deviation of 4. A value of 26 is how many standard deviations away from the mean

Answers

Answer:

2.5 s. d.

Step-by-step explanation:

Use the formula for calculating z scores:

      26 - 16

z = ------------- = 10/4 = 2.5

           4

Here the value 26 is 2.5 standard deviations above the mean (16).


2) State the area of the given triangle.
9
4
5
12
A) 24 square units
B) 36 square units
48 square units
D) 60 square units

Answers

Answer:

i'm pretty sure its 36 aka b

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

took on k12

Pls look at the photo and identify the extrema pls! I only have one try left!!
A. A and C
B. B and D
C. A,C and F
D. B,D, and F

Answers

A C and F those would be the correct answers girlie

645 plus 763 to the nearest hundredth

Answers

Answer:

1408

What you have to do is 645 + 763 = 1408 that's how you doing I think so and sorry if I did it wrong

helpppppppppppppppppppppppppppppppp

Answers

Answer:

x ≤ -14

Step-by-step explanation:

can you convert the following
1/8 to decimal and percent
and show work

Answers

Answer:

0.125 as a decimal and 12.5% as a percentage

Step-by-step explanation:

1 divided by 8 to get decimal and for percent take the value and multiply it by 100

find the measure of all the angle b’s pls. pretty pretty please. if you do all four ily. #desperate.

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll be helping you today :D. I hope you are having a nice day.

Theorums

To solve the problem, since it is in the field of Geometry, there is bound to be theorums and basic knowledge that we need to know, upon seeing this problem what we need to know are:

Supplementary Angles: When two angles add up to 180 degrees.

Complementary Angles: When two angles add up to 90 degrees.

Interior/Exterior Angles Theorum.

Right Angles.

Solving

So to solve this, I'll first start with number 11. In this, we need to solve for B and we are given the first angle and b as the second angle.

What we can do is first we know that it is a Complementary angle as we know 65 degrees + b has to equal to 90 degrees.

Upon solving that, we know that B for the first one is

[tex]90=b+65\\b= 25[/tex]

We know that b is 25 degrees for the first one.

For the second one, we know that due to the interior/exterior angles theorem that 80 + b has to equal to 180 degrees due to the int/ext angles theorem and supplementary angles.

[tex]180=80+b\\b=100[/tex]

We know that b is 100 degrees.

For the third one, we know the entire thing is 360 degrees. Since we know that, we can solve for b as we have all the angles needed.

[tex]244+23+b=360\\b=93[/tex]

Upon solving, we know that b is 93 degrees.

For the final one, due to vertical angles, b is equal to 48 degrees!

Feel free to ask any questions you have in the comments!

Cheers!

I think it’s 6) 25 7) 60 8) 93 9) 46 hope this helps :D

How to find unique prime factorization of 10 factorial.

Answers

How to find th unique prime factorization of 10 factorial

Write an equation in standard form of the line that contains the point ​(-1,4) and is parallel to​​ (has the same slope​ as) the line y=2x-7

The equation of the line in standard form is

Answers

Answer:

slope of line AB = 5

Let the required line be 'l'.

since AB is parallel to 'l'.

so slope of 'l' = slope of AB = 5.

So, the required equation of line which passes through (4,5) and having slope 5 is given by

y - 5 = 5(x - 4).........[using slope point form]

y = 5x - 20 + 5

y = 5x - 15.

Step-by-step explanation:

3. Write three ratios equal to 4/36

Answers

[tex]{\Huge{\boxed{\mathbb{QUESTION}}}[/tex]

Write three ratios equal to [tex]\frac{4}{36}[/tex]

[tex]{\huge{\boxed{\mathbb{EXPLANATION\:WITH\:REASONING\;}}}[/tex]

This ratio can be represented as [tex]4:36[/tex]

_______________________________

[tex]{\Huge{\boxed{\mathbb{THE\:RATIOS}}}[/tex]

_______________________________

[tex]1:9[/tex] [tex]2:18[/tex] [tex]3:27[/tex]

_______________________________

[tex]{\huge{\boxed{\mathbb{TERMS}}}[/tex]

Equivalent/Equal ratios - Definition of Equivalent Ratio A ratio can be represented as a fraction. The concept of an equivalent ratio is similar to the concept of equivalent fractions. A ratio that we get either by multiplying or dividing by the same number, other than zero, to the antecedent and the consequent of a ratio is called an equivalent ratio.

PLEASE HELP URGENT!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

3x^2-2x+4-5x^2+6x-8 = -2x^2-8x+12

The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to plant groups of 2 flowers in the garden per square foot. Garden 3 feet 18 feet Fountain Which is closest to the number of flowers needed to plant in the garden?
A 71 flowers
B. 141 flowers
C 156 flowers
D 255 flowers
E 284 flowers ​

Answers

Answer:  The answer is 284.

Step-by-step explanation:

The area of the garden is an annulus whose,  

Outer diameter = 18 ft  

Inner diameter = 18 ft - 2*3ft = 12 ft

Therefore,  

Outer radius = 18/2 = 9 ft  

Inner radius = 12/2 = 6 ft  

 Area of garden = Area of annulus  

 Area of garden = π*(9 ft)2 - π * (6 ft)2

 Area of garden = 142  

 Given:  

2 flowers are planted per square foot.  

 Therefore for 142 ft2,  

Number of flowers required = 2*142 = 284  

 The answer is 284.

A 3-pack of light bulbs costs $3.27. What is the unit price

Answers

Answer:

0.91$

Step-by-step explanation:

At a corner store, apples cost $1 and orange cost $2 victor has 18$ to spend buy fruits

Write an equation that relates the number of apples a, to the number of oranges,o, victor can buy while spend exactly $18

Answers

18 = 1a + 2b


That’s the equation for it

18-3(8c+4)=-6(4c-1) show your work

Answers

Answer:

No solution  

Step-by-step explanation:

Solve:

18 + -3(8c + 4) = -6(4c + -1)

Reorder the terms:

18 + -3(4 + 8c) = -6(4c + -1)

18 + (4 * -3 + 8c * -3) = -6(4c + -1)

18 + (-12 + -24c) = -6(4c + -1)

Combine like terms: 18 + -12 = 6

6 + -24c = -6(4c + -1)

Reorder the terms:

6 + -24c = -6(-1 + 4c)

6 + -24c = (-1 * -6 + 4c * -6)

6 + -24c = (6 + -24c)

Add '-6' to each side of the equation.

6 + -6 + -24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

0 + -24c = 6 + -6 + -24c

-24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

-24c = 0 + -24c

-24c = -24c

Add '24c' to each side of the equation.

-24c + 24c = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = 0

Solving

0 = 0

No Solution

(Hope this helps can I pls have brainlist (crown)☺️)

hihi pls help with geometry:)​

Answers

Answers:

problem 6) x = 5problem 7) x = 5problem 8) x = 4problem 9) x = 6

================================================

Explanation:

The angles with the similar arc markers are congruent angles. This is only when we consider any particular triangle isolated from the others.

Since we have 2 congruent angles, the triangles are considered isosceles. The congruent sides are opposite the congruent angles.

So we'll set the congruent side expressions equal to one another and solve for x. We ignore the side that isn't opposite one of the congruent angles. This applies to all four problems.

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

Work Shown for Problem 6:

3x = x+10

3x-x = 10

2x = 10

x = 10/2

x = 5

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

Work Shown for Problem 7:

x = 10-x

x+x = 10

2x = 10

x = 10/2

x = 5

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

Work Shown for Problem 8:

4x-12 = x

4x-x = 12

3x = 12

x = 12/3

x = 4

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

Work Shown for Problem 9:

2(x+3) = 18

2x+6 = 18

2x = 18-6

2x = 12

x = 12/2

x = 6

Or you can solve it like this

2(x+3) = 18

x+3 = 18/2

x+3 = 9

x = 9-3

x = 6

what equation is equal to 2x+3y=12

Answers

Answer:

y=-2/3x+4

Step-by-step explanation:

2x+3y=12 --- rewrite so it looks like y=mx+b

3y=-2x+12

y=-2/3x+4

The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f(x + 3)
b. y = f(x – 3)
C. y + 3 = f(x)
d. y - 3 = f(x)

Answers

Answer:

C

Step-by-step explanation:

When

f(x+3) would indicate a Shift 3 units to the left

f(x-3) indicates a Shift 3 units to the right

y+3=f(x) indicates a Shift 3 units up

y-3=f(x) indicates a Shift 3 units down

Because the graph is shifted 3 units up, it would be y+3=f(x), which is option C

(WILL GIVR BRAINLSIT TO BEST ANSWER)
Find the missing angle measures

Answers

Answer:

[tex]( < 1) + 127 = 180(straight \: line) \\ < 1 = 53 \\ \\ ( < 1) + 100 + ( < 2) = 180(triangle) \\ 53 + 100 + ( < 2) = 180 \\( < 2) = 180 - 153 \\ = 27 \\ \\ [/tex]

[tex]75 + ( < 1) + ( < 2) + ( < 3) = 180 \\ 75 + 53 + 27 + ( < 3) = 180 \\ ( < 3) = 180 - 155 \\ ( < 3) = 25[/tex]

[tex]( < 3) + ( < 4) + 75 = 180 \\ 25 + ( < 4) + 75 = 180 \\ ( < 4) = 180 - 100 \\ ( < 4) = 80[/tex]

pls help very confusing

Answers

Step-by-step explanation:

option D is correct.

hope this answer helps you dear! take care

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The additional information to prove the Triangles congruent is ~

[tex] \bar{AC} \cong\bar{ DF}[/tex]

The Triangles are congruent by SAS congruency criteria ~

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