Answer:
Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Step-by-step explanation:
Given that Juan invested $ 19000 in two mutual funds, and Fund A earned 7% profit during the first year, while Fund B earned 3% interest, if he received a total of $ 1042 profit, to determine how much she had invested in each mutual fund the following calculation must be performed:
19000 x 0.07 + 0 x 0.03 = 1330
15000 x 0.07 + 4000 x 0.03 = 1170
11000 x 0.07 + 8000 x 0.03 = 1010
11500 x 0.07 + 7500 x 0.03 = 1030
11800 x 0.07 + 7200 x 0.03 = 1042
Therefore, Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
HELP ASAP WILL GIVE BRAINS LIST
jack and clint are running backs on rival college football teams. the table below shows the number of yards they have ran in each of their first five games of a season. how many yards would clint need to run in his next game to average the same number of yards as jack?
Answer:
Clint would have to run 127 yards next game to average the same number of yards as Jack.
Step-by-step explanation:
First, we find the boys' averages by adding all their yards and then dividing by the number of games.
For Jack, we get 490 yards in total, which we divide by 5, the number of games. We get a 98 yard average.
For Clint, we get 461 yards in total, which we divide by 5, the number of games. We get a 92.2 yard average.
We know Clint wants to average 98 yards at the end of the next game. That would make 6 games total. We can multiply 98 x 6 to get the total number of yards for a 98 yard average in 6 games. We get 588 yards in total. Clint already ran 461 yards in total, so we can subtract that from 588. We have 127 yards left. We now know that Clint needs to run 127 yards in the next game for a 98 yard average.
The number of yards that client needs to run in his next game to average the same number of yards as jack will be 127.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how small the amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Mean = sum of data / Number of data
The average of Jack = (123 + 87 + 108 + 80 + 92)/5 = 98
The average of Clint = (88 + 101 + 96 + 92 + 84)/5 = 92.2
To make this average 98 let's say Clint's score in the next game is x.
Mean = (88 + 101 + 96 + 92 + 84 + x)/6 = 98
(92.2 x 5 + x) = 98 x 6
x = 127
Hence"Clint needed to add 127 to be mean as same as Jack".
For more about the mean,
https://brainly.com/question/17060266
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The height of the equilateral triangle below is 15 units. What is the value of x?
An equilateral triangle is shown. A perpendicular bisector cuts the triangle into 2 equal parts. They hypotenuse has a measure of x.
15 StartRoot 3 EndRoot
30 StartRoot 3 EndRoot
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
StartFraction 30 Over StartRoot 3 EndRoot
Answer: b
Step-by-step explanation: on edge
Answer: C. 30 StartRoot 3 EndRoot
Step-by-step explanation:
Took the test/exam
Which fraction is greater 2/5 or 4/10
They are equal. 2/5 is 4/10.
Select all number combinations that COULD make a triangle
4 cm, 5 cm, 7 cm
5 cm, 6 cm, 11 cm
2 cm, 9 cm, 10 cm
3cm, 4 cm, 10 cm
Answer:
2 cm, 9 cm, 10 cm
Step-by-step explanation:
To know if a combination is a triangle all you have to do is see if the combinations add up to 180
(2)(9)(10)=180 therefore it is a triangle.
All the other angles do not add up to 180 so they can't be triangles!!
(4)(10)(3) =120
(5)(6)(11) =330
(4)(5)(7) =140
Transform the equation 2x^2 + 4xy + 5y^2 - 4x - 22 to parallel axes
through (-2,3).
Answer:
I think you are happy with answer
The first step in solving a problem is to write a let statement
Answer:
whats this? can you provide more context?
Step-by-step explanation:
(5x + 10) + (2x -3) =
Answer:
7x + 7
Step-by-step explanation:
Convert to the given unit. 65 m = cm
Answer:
65m = 6500 Cm.
Step-by-step explanation:
Three pounds of bananas cost $1.47 and 2 pounds of grapes cost $1.18. Which fruit is less expensive per pound? Explain how you know
Answer:
Grapes are less expensive
Step-by-step explanation:
First, find how much money 1 pound of each fruit is:
Bananas: $1.47 / 3 = $0.49
Grapes: $1.18 / 2 = $0.59
Compare:
0.49 < 0.59
So grapes are less expensive
Please solve and hurry
Answer:
225°
Step-by-step explanation:
[tex] \frac{5\pi}{4} = \frac{5 \times 180 \degree}{4} = \frac{900 \degree}{4} = 225 \degree \\ [/tex]
Abel wants to go on a trip around the world so he determines a budget for a month long trip in 14 months. If Abel determines the following cost, how much would he need to save a month in order to afford the trip?
Travel: $1,383.12
Food: $613.05
Hotel: $2,369.72
Other: $816.82
Distributive property
2(x + 1)
Answer:
Multiply using the distributive property which will give you the answer 2x + 2.
Step-by-step explanation:
Answer:
2x + 1
Step-by-step explanation:
2 * (x + 1) |
\/
2x + 1
O2) Work out 30% of £5.80.
Answer:
1.74
Step-by-step explanation:
Multiply 5.80 times .30
Answer:
1.74
Step-by-step explanation:
To solve this, lets multiply the value by the percentage.
Our value is 5.8
And our percentage is 30%.
Lets convert this into a decimal, to do this, divide 30 by 100:
30/100
=
0.3
Now that we have the percentage in decimal form, multiply it by the 5.8:
5.8*0.3
=
1.74
This is your answer!
Hope this helps! :)
If the radius is 3.5in, then the diameter is
Answer:
the diameter is 7
Simplify: x^1/3( x^1/2 + 2x^2)
Answer:
Step-by-step explanation:
x^1/3( x^1/2 + 2x^2)
x^(1/2 + 1/3) + 2x^(2 + 1/3)
x^(5/6) + 2x^(7/3)
Look at the figure. How can you prove the triangles are congruent?
Answer:
SSS - The two triangles share all 3 sides, proving they are congruent.
Step-by-step explanation:
Two sides of each triangle are marked in the diagram as equal. The third side, [tex]\overline{BD}[/tex] is shared between both sides, meaning that both triangles share all three sides. This is known as SSS (side-side-side) and is a proof of congruence.
Step-by-step explanation:
In triangle ABD In triangle CBD
AB. = BC. [Given]
AD. = CD. [Given]
BD. = BD. [Common side]
Therefore,
According to SSS Congruence condition
Triangle ABD is congruent to Triangle CBD
Jamie's Famous Hamburgers has 423.1 pounds of hamburger. If Jamie sells 279.51 pounds of hamburger for lunch now, how many pounds will be left over for dinner? (Try to do this problem without a calculator!)
Answer: The answer is 143.59
Step-by-step explanation:
I just subtracted 279.51 from 423.1! :)
Pls help it’s for a grade in math pls help
Answer:
25,200
Step-by-step explanation:
First, find what 1% equals. Divide the total amount of people by 100. 105,000 divided by 100 = 1050. Multiply this by 24, because:
If 1% = 1050
To get 24% you need to multiply 1% by 24. Whatever you do to o ne side you have to do to the other.
1050 * 24 = 25,200
Therefore, the answer is 25,200 people
Help plzz will mark brainleast
Answer: I would say that it is 7
Step-by-step explanation:
30 : 24
b : 4 (divide both sides by 6)
5 : 4
Equivalent to 5 would be 7
Sorry if its wrong
How do I work this out?
Answer:
Option 2, 3(5y-11) - 2
Hope this helps!
HELPPPP MEEEEE ITS 5 GRADE MATH IK HELP ME IM FAILING RN :(((((
Answer:
i think c
Step-by-step explanation:
Answer:
Gross income for an individual—also known as gross pay when it's on a paycheck—is the individual's total pay from their employer before taxes or other deductions. This includes income from all sources and is not limited to income received in cash; it also includes property or services received.
Net income- In business and accounting, net income is an entity's income minus cost of goods sold, expenses, depreciation and amortization, interest, and taxes for an accounting period.
I think its B
Step-by-step explanation:
3+6+2=61
2+8+3=31
4+7+4=42
5+6+4=62
8+7+4=?????
Answer:
6mm AR, a 6 mm wildcat version which shares 6.5 Grendel's casing, but sends a (usually) lighter projectile up to 1,000 yards (900 m). 6.5×42mm, also known as 6.5 MPC (Multi Purpose Cartridge), based on a necked up .223 Remington case.
Step-by-step explanation:
Answer: 19
Step-by-step explanation:
8+7+4
8+7=15
15+4=19
The function f is defined by the following rule
f(x)=3x-3
Complete the function table
x f(x)
-5
-1
1
2
4
Answer:-18
-6
0
3
9
Step-by-step explanation:
Problem ID: PRAFJA9
Look at this graph.
What is the slope of line k?
(I will give you the brainiest thing )(please answer quick)
Answer:
10/4
Step-by-step explanation:
Animals in an experiment are to be kept under a strict diet. Each animal should receive 60 grams of protein and 9 grams of fat. The laboratory technician is able to purchase two food mixes: Mix A has 30% protein and 6% fat; mix B
has 50% protein and 5% fat. How many grams of each mix should be used to obtain the right diet for one animal?
One animal's diet should consist of grams of Mix A
Answer:
hey there buddy
Step-by-step explanation:
Write the equation of the line passing through the given points.
Answer:
a) y=4x-12
b) 4x-y=12
Step-by-step explanation:
1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4
2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12
3) rearrange into ax+by=c form
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Solve the following system of equations algebraically:
Y = x^2 + 8x – 9
Y = 2x + 7
Let u=ln(x) and v=ln(y). Write the expression below in terms of u and v
=======================================================
Work Shown:
We'll apply these log rules
[tex]\text{Log Rule 1: } \ \ \ \ln\left(\frac{x}{y}\right) = \ln(x) - \ln(y)\\\\[/tex]
[tex]\text{Log Rule 2: } \ \ \ \ln\left(x^y\right) = y\ln(x)\\\\[/tex]
These log rules can be used for logs of any base, and not just natural logs.
[tex]z = \ln\left(\frac{\sqrt{x}}{y}\right)\\\\z = \ln\left(\sqrt{x}\right)-\ln\left(y\right) \text{ ... Use log rule 1}\\\\z = \ln\left(x^{1/2}\right)-\ln\left(y\right)\\\\z = \frac{1}{2}\ln\left(x\right)-\ln\left(y\right) \text{ ... Use log rule 2}\\\\z = \frac{1}{2}u-v\\\\[/tex]
Therefore,
[tex]\ln\left(\frac{\sqrt{x}}{y}\right) = \frac{1}{2}u-v\\\\[/tex]
when [tex]u = \ln(x) \ \text{ and } \ v = \ln(y)\\\\[/tex]
Whats the Diameter? I really need help understanding this
Answer:
1.8 in.
Step-by-step explanation:
Hi there!
1) Determine the radius of the base
[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius of the base and h is the height of the cone
Plug in the known values (h=4.2, V=3.6)
[tex]3.6=\frac{1}{3} \pi r^2(4.2)[/tex]
Isolate r; divide both sides by 4.2
[tex]\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2[/tex]
Multiply both sides by 3
[tex]\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2[/tex]
Divide both sides by π
[tex]\frac{18}{7\pi }=r^2[/tex]
Take the square root of both sides
[tex]\sqrt{\frac{18}{7\pi }} =r[/tex]
2) Determine the diameter
Now that we have the radius, to find the diameter, multiply r by 2:
[tex]d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8[/tex]
Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.
I hope this helps!
Answer:
1.8 in
Step-by-step explanation:
we know the equation for the volume of a cone is pi*r^2 h/3=3.6
pi r^2 *4.2=10.8
solve for r
r is about 0.9 so diameter is 1.8 in