Goran invested his savings in two investment funds. The amount he invested in Fund A was 7000 less than the amount he invested in Fund B. Fund A returned a 4% profit and Fund B returned a 2% profit. How much did he invest in Fund B, if the total profit from the two funds together was 500?
If Goran invested his savings in two investment funds. The amount that Goran invest in Fund B, if the total profit from the two funds together was 500?
How to find the amount invested?Amount Invested in Fund A = x
Amount invested in Fund B = x+7000
Profit from fund A = 0.04x
Profit from fund B = 0.02(x+7000)
0.04x +0.02(x+7000) = 500
0.04 +0.02x + 140 =500
Combine like terms
0.06 x =360
Divide both side by 0.06x
x = 360 /0.06
x = 6,000
Amount Invested in Fund A = x =6,000
Amount invested in Fund B = x+7000
Amount invested in Fund B = 6,000 + 7,000
Amount invested in Fund B = 13,000
Therefore the amount invested in Fund A 6,000 and the Fund B is 13,000.
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Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 83 Sophomores 68 Juniors 85 Seniors 64 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The calculated value for the test statistic equals a. 6.66. b. 1.66. c. .54. d. .65. Icon Key
Answer:
1.66
Step-by-step explanation:
Using the Chi square statistic (χ²) test :
χ² = Σ(Oi - Ei)² / Ei
Expected, Ei :
Freshmen = 30% * 300 = 90
Sophomore =24% * 300 = 72
Junior = 26% * 300 = 78
Senior = 20% * 300 = 60
Observed, Oi :
Freshmen = 83
Sophomore = 68
Junior = 85
Senior = 64
χ² = ((83 - 90)²/90) + ((68 - 72)²/72) + ((85 - 78)²/78) + (64 - 60)²/60)
χ² = 49/90 + 16/72 + 49/78 + 16/60
χ² = 0.544 + 0.222 + 0.628 + 0.267
χ² = 1.661
The test statistic = 1.66
Find the length of the third side. If necessary, round to the nearest
tenth.
Answer:
7.5
Step-by-step explanation:
Using pythagoras theorem
Sqrt(9^2-5^2)=7.483
What is an equation of the line that passes through the points (6, -7) and (-6,3)?
Answer:
y=-5/6x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-(-7))/(-6-6)
m=(3+7)/-12
m=10/-12
simplify
m=-5/6
y-y1=m(x-x1)
y-(-7)=-5/6(x-6)
y+7=-5/6x+30/6
y+7=-5/6x+5
y=-5/6x+5-7
y=-5/6x-2
what are the types of sneakers the students in our school wear? Is this a statistical question?
Answer:
No.
Step-by-step explanation:
This is not statistical because a statistical question is a question that can be answered by collecting data that vary. Data pertains to numbers. Your question is not asking for numbers.
write one lakh ninety thousand eight hundred and fifty in digits
Answer:
it is
190850
it is the correct answer
Step-by-step explanation:
1,90,850 is your answer...
hope it helps
a kite string is 50 feet long, and you are able to measure the angle of elevation to be 25 degrees. You are holding the kite from 5 feet above the ground.
Show all your work to find the total height (h) of the kite.
9514 1404 393
Answer:
26.1 ft
Step-by-step explanation:
The height of the kite above your position is the opposite side of a right triangle whose hypotenuse is 50 ft. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
Filling in the known values, we have ...
sin(25°) = height/(50 ft)
height = (50 ft)sin(25°) ≈ 21.1 ft
Added to the height at which you are holding the string, this becomes the total height of the kite.
h = 5 ft + 21.1 ft = 26.1 ft . . . . total height of the kite
A triangular prism has a height of 6 meters and a triangular base with the following dimensions. What is the value of B ? 54 m 2 48 m 2 96 m 2 30 m 2
Answer:
96m
Step-by-step explanation:
Answer:
The correct answer is 48 m.
Step-by-step explanation:
To find our answer we will first multiply the base times height. 16 is the base and 6 is the height. Therefore, 16 x 6 = 96. Now we are going to multiply 1/2 or 0.5 by 96 and we get 48m.
I also had a quiz on this and I got it correct after I checked my work. Have a good one mate
50 POINTSSS!!!!!! PLS HURRRYYYYY!!!!!!! A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?
1 The mean of the data will not be between 81 – 90.
2 All the data lies below 80.
3 The relative frequency of the class 81 – 90 is 0.
4 The median could be in the range 81 – 90
Answer:
3
Step-by-step explanation:
Rhombus LMNO is shown with its diagonals.
Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent.
The length of LN is 28 centimeters. What is the length of LP?
7 cm
9 cm
14 cm
21 cm
Answer:
14 cm
Step-by-step explanation:
The length of the line segment, LP is; 14 cm
Diagonals of a RhombusFrom the task content, it follows that the diagonal LN of the Rhombus has length, 28 centimetres.
However, from the task content also, the point P is the point of intersection of the two diagonals.
On this note, it follows that P is the midpoint of line LN and the length of line LP is therefore;
LP = 28/2 = 14 cm.Read more on Diagonals of a Rhombus;
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HELP ME PLEASE I HAVE NO CLUE
Answer:
tan =opposite divided by adjacent
therefore tan j is 11÷60 = 0.1833
tan-1 0.1833= 10.39
so tan j is 10.39
tan l is 60 ÷11 = 5.4545
tan-1 5. 4545= 79.61
hope it made sense
Keenan is buying tires. Keenan has to spend 2 dollars for each tire purchased
Answer:
what's the question? I don't know
if you randomly choose a number 1-10 what is the probability of choosing either an odd number or an even number
Answer:
wouldn't it be a 10/10 for probability just my thoughts
Joe earned 2,100$.He spent 1/5 on rent and 1/3 on food.How much money did he have left
Answer:
$980
Step-by-step explanation:
Step 1: Find [tex]\frac{1}{5}[/tex] of 2100 = 420
[tex]\frac{1}{5}\times \:2100[/tex]Convert 2100 to a fraction: [tex]\:2100=\frac{2100}{1}[/tex][tex]=\frac{1}{5}\times \frac{2100}{1}[/tex]Cross Divide[tex]2100 \div 5 = 420[/tex]Step 2: Find [tex]\frac{1}{3}[/tex] of 2100 = 700
[tex]\frac{1}{3}\times \:2100[/tex]Convert 2100 to a fraction: [tex]\:2100=\frac{2100}{1}[/tex][tex]=\frac{1}{3}\times \frac{2100}{1}[/tex]Cross Divide[tex]2100 \div 3 = 700[/tex]Step 3: Add both results together
[tex]420 + 700 = 1120[/tex]
Step 4: Subtract the result from how much joe earns ($2,100)
[tex]2100 - 1120 = 980[/tex]
Joe has $980 left
If Joe earned 2,100$ and He spent 1/5 on rent and 1/3 on food, Joe had $980 left after paying for rent and food.
Joe earned $2,100 and spent 1/5 of it on rent and 1/3 on food. To calculate the amount he spent on rent, we need to find 1/5 of $2,100, which is
(1/5) * $2,100 = $420.
Similarly, the amount he spent on food is found by calculating 1/3 of $2,100, which is (1/3) * $2,100 = $700.
To determine how much money Joe had left, we subtract the total amount he spent from his earnings. Adding the amounts spent on rent and food, we get $420 + $700 = $1,120.
To find the money Joe had left, we subtract the total spent from his earnings: $2,100 - $1,120 = $980.
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use partial quotients to solve
5,140÷9=
Answer: 571.11111...(Fraction: 9/28)
Step-by-step explanation:
5,140÷9 = 571.11111...
geometric sequence
plz help me
thank you
Answer:thats your answer
Step-by-step explanation:
a doughnut factory can make 1980 doughnuts in 1.5 hr how long would it take to make 6600 doughnuts
Answer: 5 Hours
Step-by-step explanation:
Divide 6600 by the amount per 1.5 hours.
6600 / 1980 = 3.333
Multiply the answer by the 1.5 hours.
1.5 x 3.333 = 5
Find the measure of the angle.
The angle turns through
1/10
of the circle.
What measure is the angle?
Answer:
radian
Step-by-step explanation:
1/10 circle or degree The SI derived unit for angle is the radian. 1 radian is equal to 1.591549430919 or 1/10 circle, or 57.295779513082 degree.
36 deg
1/10 of a circle is equal to 36 deg.
PLEASE HELP! Image below. This is due in 10 Minutes!
Answer:
9 x 3.5 = 31.5 (area of rectangle now time for the trapezoid!)
Area of little square:
2 x 2 = 4
Area of two triangles:
2 x 2 = 4
4 divided by 2 = 2
5 x 2 = 10
10 divided by 2 = 5
The summed up area's of triangles:
5 + 2 = 7
7 + 4(little square's area) = 11
11 + 31.5 = 42.5
Edet took sixth at the end of term test and each test was marked out of 80. If his marks were 48, 52, 46, 46, 44 and 52. What percentage of the total marks did he get?
The percentage of the total marks that Edet gets is 60%
How to calculate the percentage?The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
In this situation, the score of Edet will be:
= 48 + 52 + 46 + 46 + 44 + 52
= 288
Total score = 80 × 6
= 480
The percentage will be:
= 288 / 480 × 100
= 60%
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Well hi and hi and please help 10 points
Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces
Answer:
$0.10 per piece means $0.40 for 1 apple there are 12 in a dozen so multiply it by 12 which would be $4.80 for a dozen multiply again by 3
$14.40 for 3 dozen I'm pretty sure
Guys, how many triangles are in this picture? Triangles with stripes inside also count
Therefore , as a result Two of a triangle's sides and the included SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.
What is the SAS?The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.
Here,
if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.
Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.
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PLZ HELP
Solve each equation.
a.(8.5) ⋅ (- 3) = a
b.(- 7) + b = (-11)
c.c - (- 3) = 15
d.d⋅ (-4) = 32
Answer:
[tex]a = - 25.5 \\ b = - 4 \\ c = 12 \\ d = - 8[/tex]
Equations of Exponential Functions
Given the following equation of an exponential function
C = 10.5(1.194)t
determine the base, b, of the exponential model. Is the base a growth or decay factor?
a. b is 1.94; It is a growth factor.
b. b is 1.194; It is a decay factor.
c. b is 10.5; It is a growth factor.
d. b is 10.5; It is a decay factor.
Please select the best answer from the choices provided
Answer:
A. B is 1.194; It is a growth factor.
Step-by-step explanation:
I calculated it logically
A large ice cream cone can hold 143.56 cm of ice cream. The cone is 15 cm tall. What is the radius of the base of the cone? Be sure your answer is in the proper units. Round your answer to the nearest hundredth.
Answer:
r = 3.02 cm
Step-by-step explanation:
V cone = πr²h/3
r = √(3V/πh)
r = √(3(143.56)/π(15))
r = 3.0231297
Please help answer question
Answer: x = 9
Step-by-step explanation: To find the value of x, we must understand a few things:
- whatever is in lines like | 2x + 4 | means it's the absolute value or positive value of the number.
Now, with that out of the way, I have one more thing to explain.
- whenever trying to find the value of a variable, you need to do inverse operations, so the opposite of adding is subtracting, and the opposite of multiplication is division. Now, let's solve:
22 - 4 = ?
? = 18
18 / 2 = ?
?(x) = 9
Therefore, x = 9
We can check our answer by doing:
| 2(9) + 4 | = 22
2 x 9 = 18
18 + 4 = 22
22 = 22
So, both answers add up, so x = 9
I hope this helps!
Pls I really need help with this. I need 5, 6, and 7
Answer:
5. F, G, L, and A are the vertices.
6. The answer is isosceles trapezoid.
If two obtuse angles are next to each other (100° and 100°) and followed by two acute angles next to each other as well ((80° and 80°), the shape is trapezoid. Trapezoid is quadrilateral shape that has a pair of parallel sides parallel. When angles on each of its base are equal, trapezoid is called isosceles trapezoid.
7. No. A trapezoid is a quadrilateral, and therefore must have an interior angle sum of 360 degrees. Any obtuse angles must be offset by acute ones, unless they’re all right angles/it’s a rectangle.
91 + 91 + 91 + 91 = 364 > 360.
An obtuse angle always lies between 90° and 180°.
Step-by-step explanation:
Have a nice day!
Customary American Units of Capacity
1 cup = 8 ounces
1 pint = 2 cups or 16 ounces
1 quart = 2 pints, 4 cups, or 32 ounces
1 gallon = 4 quarts, 8 pints, 16 cups, or 128 ounces
5 quarts 4 pints =____ pints
Answer:
14
Step-by-step explanation:
5 quarts = 10 pints
10 pints + 4 pints = 14 pints
Find Mn to the nearest tenth
Answer:
B. 23.8
Step-by-step explanation:
Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)
c = length of side you are finding
a = length of side a
b = length of side b
y =angle opposite c