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

solve pls brainliest

Answers

Answer:

y = 13x

Step-by-step explanation:

Substitute 2 in x and you'll get 26:

y = 13•2

y = 26

The equation for line A is given by y= -3/4x-2. Suppose line A is parallel to line B, and line T is perpendicular to line A. Point (2,5) lies on both line B and line T. What is the equation for line B?

Answers

Answer:

y=4/3x+19/3

Step-by-step explanation:

perpendicular = slope is the negative reciprical.

plug in the point (-4,1) for (x,y)

1(y)=4/3(-4)+b

1=-16/3+b

b=19/3

Select the correct range of the function represented by the graph.

Answers

Answer:

[-1,3]

Step-by-step explanation:

A certain class has 25 students. If 8 students play football and, 10 plays baseball and 6 plays both, how many students play neither football nor baseball?

Answers

Answer:1

Step-by-step explanation:

8+10=18 18+6=24 25-24=1

Answer:

7

Step-by-step explanation:

8 fb

10 bb

6 both, but are among the 8 & 10

so 7

hope it helps

What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?

Answers

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope. it is expressed as ratio of y change / x change when going from one point to another.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b.

we see costs is on the y axis, and miles is on the x axis.

so what points do we identify on the chart for the green taxi ?

there is right on the y-axis (0, 5). which is already our y-intercept.

and then let's pick e.g. the point where both lines intercept : (3, 8).

for the slope we look at the coordinate changes :

x changes by +3 (from 0 to 3).

y changes by +3 (from 5 to 8).

so, the slope is 3/3 = 1.

and again, the y- intercept is +5.

therefore, the line equation is

y = x + 5

meaning the cost of a fare is the number of miles plus 5.

A garden snail moves 1/6 foot in 1/3 hour. How far is the snail moving per hour?


A. 2 feet per hour


B. 1/2 foot per hour


C. 1 foot per 2 hours


D. 1/4 foot per hour

Answers

Answer:

c)  1 foot per 2 hours

Step-by-step explanation:

1/6 of a foot (which is 12 inches) is 2 inches

1/3 of an hour (which is 60 minutes) is 20 minutes

2 inches in 20 minutes is the same as 12 inches (which is 1 foot) in 120 minutes (which is 2 hours)

I'm taking the ssat upper level on December 11th and really need help with the math section. Are there any tips or help that can be provided?

Answers

Answer:

1, Stay calm

2, be confident

3, if you know the type of questions they are gonna ask practiece those type of questions

Also good luck

Help me guys!

Fill in the table using this function rule.

y = -2x+3

Answers

Y=-2(-6)+3
Y=12+3
Y=15

Y=-2(-3)+3
Y=6+3
Y=9

Y=-2(0)+3
Y=0+3
Y=3

Y=-2(3)+3
Y=-6+3
Y=-3

Y=15
Y=9
Y=3
Y=-3

The emotional atmoshere a reader sences in a poem or story is referred toas its

Answers

It would be mood. I hope this helps.

Solve. 1/3(x+3/5)=3
x=36/5
x=42/5
x=48/5

Answers

Answer:

x=42/5

Step-by-step explanation:

what times what equals 48 and adds to -16 ​

Answers

Answer:

-4 and -12

Step-by-step explanation:

For what times what equals 48:

-4(-12) = 48

-4 - 12 = -16

Answer:

x= -4 and y= -12

Step-by-step explanation:

x*y=48

x+y=-16

solve one equation for x

y=-16-x

then plug that y into the other equation

x(-16-x)=48

-16x-x^2=48

multiply by -1

x^2+16x=-48

complete the square

x^2+16x+64=-48+64

(x+8)^2=16

solve for x

x+8=sqrt(16)

x+8=4

x=4-8

x=-4

plug x back into original equation

x+y=-16

-4+y=-16

y=-16+4

y=-12

so your answers are x=-4 and y=-12

6.4 + 3.2? I need it in simplist form

Answers

Answer:

9.6

Step-by-step explanation:

Answer:

9.6 in decimal form, 9 6/10 in a mixed fraction, 96/10 in an improper fraction.

Step-by-step explanation:

6.4 + 3.2, 6 plus 3 = 9

4+2 = 6

Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?

Answers

Answer:

$125 per month

Step-by-step explanation:

What is an ideal gas.

Answers

An ideal gas is a theoretical gas composed of many randomly moving point particles that are not subject to interparticle interactions. The ideal gas concept is useful because it obeys the ideal gas law, a simplified equation of state, and is amenable to analysis under statistical mechanics.

A number b subtracted from seven is greater than eight. What is the sentence as an inequality?

Answers

Answer:

7 - b > 8

Step-by-step explanation:

please help this is homework and I don’t know how to do it!!!

Answers

Step-by-step explanation:

you don't understand what the multiplication or division with 10 (or a higher power of 10) does ?

or you don't know. what 10² means ?

this means 10 to the power of 2 or 10 squared and is simply 10 multiplied with itself 2 times : 10×10.

and 10×10 is ... 100.

as you can imagine, this is not restricted to the number 2 (and 10). "power of" can be any number and just indicates how often the base number is multiplied with itself.

a surcharge case is "power of 0", which is simply 1.

now that we understand that, let's have a quick look at how the numbers we are dealing with (in daily life as well as in class and in science) are actually built :

when I write e.g the number

1234

then this actually means

4×10⁰ + 3×10¹ + 2×10² + 1×10³

when I multiply this now by e.g. 10 this becomes

4×10⁰×10 + 3×10¹×10 + 2×10²×10 + 1×10³×10 =

4×10¹ + 3×10² + 2×10³ + 1×10⁴

as you can see, the previous "single" position 4 now becomes a 40.

and the result looks in short form :

12340

so, a multiplication by 10 adds a 0 at the low end of the number.

a multiplication by 10² or 100 (= 10×10) adds then 2 0s at the low end. and so forth.

a division by 10 does the opposite and removes a 0 at the low end of the number.

but what if we don't have any 0 at this position of the number ? then we enter the system of the decimal point.

because on the right side of the decimal point we continue to countdown the exponent of 10 below 0.

the first position right of the decimal point stands for 10^‐1, the second position for 10^‐2, and so forth. and that is nothing else than tenths, hundredths, thousandths, ...

so, in short, a multiplication by 10 moves the decimal point one position to the right. and if we run out of written positions, then we can simply assume an infinite sequence of 0s continuing further to the right.

and a division by 10 moves the decimal point one position to the left. and if we run out of written positions, then we can simply assume an infinite sequence of 0s continuing further to the left too that are then showing up on the right side of the decimal point.

now, I think we covered all the basics and we can look at the question here :

10² × 18.72

10² = 100 = 10×10

so, we are multiplying twice by 10 and move the decimal point therefore 2 positions to the right.

the result is then

1872

as a little guide : when it is clear that the number has to get bigger by the operation (like a multiplication by 10 or 100), you need to move the decimal point in the direction that makes the number bigger (which is to the right).

and if the operation is clearly trying to make the number smaller, then you have to move the decimal point in the direction to make the number smaller (to the left).

Andrea buys 3 pounds of Georgia pecans for
$10.35. What is the unit rate for the pecans?

Answers

Answer:

3.45 per pound of peacans

Step-by-step explanation:

we know that 3 pounds of peacans is 10.35 dollars so all that we have to do to find the unit rate is divide 10.35 by 3 and we get 3.45$

please help me its easy ​

Answers

Answer: 31.6

Step-by-step explanation:

There were 6 teams in a baseball tournament. Each team played against every other team exactly once during the tournament. A team earned 2 points for a win, 1 point for a tie, and 0 points for a loss. What was the total number of points earned by all 6 teams in the tournament?

Answers

Since there were 6 teams in a baseball tournament, and each team played against every other team exactly once during the tournament, and a team earned 2 points for a win, 1 point for a tie, and 0 points for a loss, to determine what was the total number of points earned by all 6 teams in the tournament, since a series of results have not been raised, the following table should be made:

Possible outcomes: 5 wins = 5 x 2 = 10 4 wins and 1 a draw = 4 x 2 + 1 = 9 4 wins and 1 loss = 4 x 2 = 8 3 wins and 2 draws = 3 x 2 + 2 x 1 = 8 3 wins, 1 draw and 1 loss = 3 x 2 + 1 = 7 3 wins and 2 losses = 3 x 2 = 6 2 wins and 3 draws = 2 x 2 + 3 x 1 = 7 2 wins, 2 draws and 1 loss = 2 x 2 + 2 x 1 = 6 2 wins, 1 draw and 2 losses = 2 x 2 + 1 = 5 2 wins and 3 losses = 2 x 2 = 4 1 win and 4 draws = 2 x 1 + 4 x 1 = 6 1 win, 3 draws and 1 loss = 2 x 1 + 3 x 1 = 5 1 win, 2 draws and 2 losses = 2 x 1 + 2 x 1 = 4 1 win, 1 draw and 3 losses = 2 x 1 + 1 x 1 = 3 1 win and 4 losses = 2 x 1 = 2 5 draws = 5 x 1 = 5 4 draws and 1 loss = 4 x 1 = 4 3 draws and 2 losses = 3 x 1 = 3 2 draws and 3 losses = 2 x 1 = 2 1 draw and 4 loss = 4 x 1 = 1 5 losses = 0

Learn more in https://brainly.com/question/6283215

solve the short line equation, image attached, giving brainliest please help

Answers

Answer:

x = 3

Step-by-step explanation:

2 - 2x = -3 - -1

2 - 2x = -4

-2x = -6

-2x / -2 = 1x

-6 / -2 = 3

ur answer is then 1x = 3 or x = 3.

Please help me with this question. I don't think I understand it. Quadratic functions graphing #15-19.

Will pick brainliest answer, thank you :)

Answers

Answer:

15) (1, 1) and (-1, 1)

16) (1, 2) and (-1, 2)

17 (1,1/2) and (-1, 1/2)

18) (1,1/4) and (-1, 1/4)

19) 16 is vertical stretch, 17 and 18 is vertical compressed

Step-by-step explanation:

for qs 15-18 since x is 1 or -1 if you sq 1 or -1 you will always get 1

so y is the "a" value in the equation  y=ax²

for qs 19

y=ax²

so if a>1 -- then vertical stretch

when 0<a<1 -- then vertical compressed

   

What numbers can be used instead to x for this equation to remain the same -x>2

Answers

Answer:

2x + 1 = 11.

2x + 1 - 1 = 11 - 1 (subtracting both sides by the same number)

2x = 10.

2x/2 = 10/2 (dividing both sides of the equation by the same number)

x = 5.

Step-by-step explanation:

hope it helps

on her first six test, Sandra's scores were 75 70 80 80 85 and 90 find the mean of the six scores

Answers

Answer:  80

Explanation:

First add up the scores: 75+70+80+80+85+90 = 480

Then divide by n = 6 because there are 6 scores. We get 480/n = 480/6 = 80 as the mean.

help help help help help

Answers

Answer:

2

Step-by-step explanation:

What are the group of boxes or cells in a table that go side to side (horizontal) is called?.

Answers

Answer:

A group of boxes in a table that go side to side (horizontal) are called: Grids.

:)

A group of boxes in a table that go side to side (horizontal) are called Grids.

What is a grid answer?

A pattern of intersecting horizontal and vertical lines that creates a grid of squares is known as a rd. A grid is also a system of wires that connects several locations in a region with electricity: a power grid.When straight lines cross over one other to form squares, it is said to be in a grid pattern. The grid on maps is designed to guide you in finding a certain object or location. ...an ironwork grid.An illustration of a grid would be the lines on graph paper. noun. (football) (football) the field.

Learn more about grid

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In parallelogram HIJK, the measure of angle H is 45∘.

Find the measure of angle J. Explain how you know.
Find the measure of angle K. Explain how you know.

Answers

Answer:

The angle diagonal to angle H = 45

The other two angles equal 135

Step-by-step explanation:

A line equals 180. So 45+135 = 180

I'm sorry that I couldn't list names of the angles. I would need a picture. I hope this made since and could help. God bless!

The measure of angle J is 45 degrees and The measure of angle K is also 45 degree. In a parallelogram, opposite angles are congruent, meaning they have the same measure.

Given that angle H measures 45 degrees, we can use this property to find the measures of angles J and K.

Measure of Angle J:

Since angle J is opposite to angle H in parallelogram HIJK, angle J will also measure 45 degrees. This is because opposite angles in a parallelogram are equal.

Measure of Angle K:

Similarly, angle K is opposite to angle I in parallelogram HIJK. Since the opposite angles are congruent, angle K will also have a measure of 45 degrees.

In summary, the measure of angle J in parallelogram HIJK is 45 degrees, and the measure of angle K is also 45 degrees. This is a property of parallelograms where opposite angles are congruent.

To know more about measure:

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Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?

pls simplify
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND GETS IT RIGHT!!!

Answers

Hello there!

Grace has $105 for pizzas and a cake.

She sets aside $25, so we subtract:

105-25=80

So she has $80 for pizzas.

Now, to find out how many pizzas Grace can buy, we take $80 and divide it by the price of one pizza (9.25):

The approximate answer is 8.6

Hope it helps

~Just a gloomy teen who misses her best friend

#CarryOnLearning

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Questlon 21 of 25
What are the vertex and x-intercepts of the graph of the function given below?
- 2x - 24

Answers

[tex] - 2 \times - 24 = - 2( \times + 12[/tex])

Help please (((((((((((((((

Answers

Answer:

The side ST is 10. If the quadrilateral Q is reflected, and the side is 10, the others should also have 10 as the side for ST.

A circle has a diameter of 62 meters. What is the circumference of the circle

Answers

Answer:

the circumstance is 194.78

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