Answer:
x = 4/3
Step-by-step explanation:
[tex]\frac{4}{3x} + \frac{5}{4} = \frac{3}{x}[/tex]
take lcm of the denominator
lcm = 12x
[tex]\frac{4*4 +5*3x}{12x} = \frac{3}{x}[/tex]
[tex]\frac{16+15x}{12x} = \frac{3}{x}[/tex]
do cross multiplication
x(16 + 15x) = 3*12x
16x + 15x^2 = 36x
15x^2 = 36x - 16x
15x^2 = 20x
x^2 = 20x /15
x*x = 4x/3
x = 4x/3/x
x = 4x/3 *1/x
x = 4x/3x
x = 4/3
Today is your 10th birthday, and you decide to start saving for your college education. You will begin college on your 20th birthday and will need to pay ksh144,000 at beginning of first in a 4- year program. Fees will increase at inflation rate of 10% per year. You will make a deposit 1 year from today in an account paying 12% (percent) annually and continue to make an identical deposit each year up to and including the year you begin college. What should be the size of your deposit?
Answer:
The size of your deposit should be $13,023.92.
Step-by-step explanation:
First, the real interest has to be calculated using the following formula:
r = [(1 + i) / (1 + inf)] - 1 ..................... (1)
Where;
i = market interest rate = Interest rate on the account = 12%, or 0.12
r = real interest rate = ?
inf = inflation rate = 10%, or 0.10
Substituting the values into equation (1) and solve for r, we have:
r = [(1 + 0.12) / (1 + 0.10)] - 1 = 0.0181818181818183
Since you will need to pay ksh144,000 at beginning of first in a 4- year program, this implies that the relevant to use in calculating the size of the deposit is the formula for calculating the Future Value (FV) of an Annuity Due as follows:
FV = P * (((1 + r)^n - 1) / r) * (1 + r) ................................. (2)
Where,
FV = Future value or the amount needed to pay on the 20th birthday = ksh144,000
P = Fixed annual payment or size of the deposit = ?
r = real interest rate = 0.0181818181818183
n = number of years = 20 - 10 = 10 (Since you will make a deposit 1 year from today annually and continue to make an identical deposit each year up to and including the year you begin college.)
Substituting the values into equation (2) and solve for P, we have:
144,000 = P * (((1 + 0.0181818181818183)^10 - 1) / 0.0181818181818183) * (1 + 0.0181818181818183)
144,000 = P * 10.8591414092614 * 1.0181818181818183
144,000 = P * 11.0565803439752
P = 144,000 / 11.0565803439752
P = $ 13,023.92
Therefore, the size of your deposit should be $13,023.92.
The picture up above
Answer:
its being reflected over the y-axis
Step-by-step explanation:
Which inequalities are true? Select the four correct answers.
0< √8
√8 <3
√8 >√7
√8 < 2
√8 >8
1< √8
Answer:
Step-by-step explanation:
True
True
True
False
False
True
In MNO, The Measure of <0= 90°, NM = 17, MO= 15, and ON= 8. What ratio represents the tangent of
Answer:
Step-by-step explanation:
tanN = MO/ON = 15/8
N = about 61,9 it’s 62 degree
Answer: 15/8
Step-by-step explanation:
Choose an equation of a line through the point (1,-1) parallel to y=−3x+4.
Answer:
y=-3x-1(4+1) I hoped this helped if not I am sorry I did the BPEMDAS
Gerald bought a computer on the installment plan. The price was $1,560. He paid $82 a month for 24 months
What did Gerald pay in finance charges?
O $310
O $408
O $456
O $620
Answer:
$408
Step-by-step explanation:
on a saturday morning, owen earned 27 dollars. by the end of the afternoon, owen earned a total of 62 dollars. enter an equation, using x as your variable, to determine whether owen earned 35 or 33 on saturday afternoon.
Answer:
its 36 dollars
Step-by-step explanation:
27 + x = 62
x = 62 - 27
x = 36
A scientist determines that an antibiotic reduces a population of 20,000 bacteria to 5,000 in 24 hours. Find
the rate of decline caused by the antibiotic.
Answer:
5.8%
Step-by-step explanation:
H= 1/r (in P - in A)
H=24
P=2000
A=5000
24= 1/r (in2000 - in5000)
24r = in 2000 - in 5000
r = in 2000 - in 5000
_________________
24 r
= 05 .7762265
= 5.8 %
Which shows the front view of the figure shown?
The front view of the figure is figure A.
What is the difference between normal surfaces and hidden lines?Normal surfaces exist surfaces that stand at 90° to each other.
Hidden lines exist utilized to display surfaces that stand not directly visible. All surfaces must be displayed in all sights. If an edge or surface exists obstructed from sight by another feature, it stands drawn utilizing a hidden line.
The front view of the figure is figure A.
Therefore, the correct answer is option A.
To learn more about normal surfaces
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5 3 Divide: 3 4
[tex] \frac{5}{?8 \div \frac{3}{?4} } [/tex]
Answer:
Step-by-step explanation:
x
Solve the system by substitution.
- 2x – 10y = -2
-4y = x
Answer:
x = -4 and y = 1
Step-by-step explanation:
hope this helps please like and mark as brainliest
At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 34 minutes and a standard deviation of 2
minutes. If you visit that restaurant 26 times this year, what is the expected number
of times that you would expect to wait longer than 38 minutes, to the nearest whole
number?
Which similarity postulate or theorem can be used to verify that the two triangles shown below are similar?
Answer:
C. Similarity cannot be determined
Step-by-step explanation:
Two triangles are considered similar when all three angles are equal and also when the ratio of their corresponding side lengths are equal.
Since we only know the angles of the two triangles given and we are not given the side lengths to determine if their corresponding ratio is the same, we therefore cannot determine if the two triangles are similar in anyway.
Jessica is 8 years old. Kayla is 6 years younger than twice Jessica’s age. Which expression represents Kayla’s age?
A. (8*6)-2
B. ( 8*2) -6
C. 8*(6-2)
D. 8* (2-6)
Answer:
B
We find twice Jessica’s age and then subtract 6 since she is 6 years younger than that.
Answer:
B. (8*2) -6
Step-by-step explanation:
Since Jessica is 8, and Kayla is 6 years younger than twice (doubled) Jessica's age, this means that Kayla is 6 years younger than 16. Therefore the equation would be (8*2)-6.
On the image below, which is the correct answer?
Answer:
d
Step-by-step explanation:
its the correct answer
Hope this helps:)
Hi can anyone help me with this Q ? It’s for my final. I would appreciate it a lot !!
-
The angle of elevation from a boat to the top of a 125ft hotel is 22°
How far is the boat from the base of the hotel ? ( round to the nearest TENTH )
Answer: B
Step-by-step explanation:
Bc said so
A cell phone company wants to determine the average amount of data that their smart phone customers use each month. Which group would best represent a sample of the population?
one thousand of their customers with the most expensive monthly plans
one thousand of their customers who most recently signed up with the company
one thousand of their customers with a current smart phone data plan
one thousand of their customers who called in for technical support
The group that best represents a sample of the population is one thousand of their customers with a current smart phone data plan.
What is the appropriate sample of the population?
A sample is a smaller representative group of the population. A sample is used as it might not be feasible or cost effective to access the whole population.
The appropraite sample should be representative of the whole population of customers.
To learn more about sample, please check: https://brainly.com/question/18521835
The group that would best represent a sample of the population is given by: Option C: one thousand of their customers with a current smart phone data plan.
Why do we do sampling?We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).
We've to collect sample in such a way that we can get a widespread view of the population (all customers). We want to do sampling for getting the average amount of data that their smart phone customers use each month.
Option A, B and D are choosing those customers, which are like a special part of the customers, and not an overall coverage of the customer the cell phone company has.
But option C covers assumingly all sorts of customers who use internet data.
Thus, the group that would best represent a sample of the is given by: Option C: one thousand of their customers with a current smart phone data plan
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Find the slope of a line parallel to 3x – y = 1.
A. –3
B. 3
C. one third
D. negative one third
Answer:
m =3
Step-by-step explanation:
3x – y = 1
First put the line in slope intercept form
y = mx+b where m is the slope and b is the y intercept
-y = -3x+1
y = 3x-1
The slope is 3
We want a line parallel, which means the lines have the same slope
m =3
Can you help plz
EEEEEEEEEEEEEEEEEEEEEE
Answer:
V = 125 cm³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cube Formula: V = a³
a is any side lengthStep-by-step explanation:
Step 1: Define
Identify variables
a = 5 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cube Formula]: V = (5 cm)³Evaluate exponents: V = 125 cm³Answer:
125cm^3
Step-by-step explanation:
Volume of a cube = l^3
Where l = length of cube
The given length of the cube is 5cm
Hence Volume = 5^3 = 125cm^3
Which of the following correlation coefficients would represent the strongest correlation? -0.9 -0.16 0.04 .78
Answer:
0.4 would represent the strongest correlation.
Step-by-step explanation:
Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything less than 0.4 is considered a weak or no correlation
Please answer 8,9, and 10!!
Answer:
260,
43.73,
34.28
Step-by-step explanation:
8. Triangle's base is 10, height 4.
10 * 4 = 40
40/2 = 20
24 * 10 = 240
240 + 20
= 260
9. Radius 3.
πr²
9π
12 * 6 = 72
72 - 9π
≈43.73
10. Semicircle has a radius of 2.
2²π
4π
4π/2 = 2π
≈6.28
6.28 + 28 = 34.28
≈34.28
8. It has Triangle embedded to a Rectangle
Area of Figure =Area of Triangle + Area of Rectangle
Area of Triangle = ½ base x height
= ½ x 10 x 8 =40
Area of Rectangle= 24 x 10 =240
TOTAL AREA OF FIGURE = 240 + 40 = 280
9.
Its a rectangle with a Circle in the Middle
Area of Shaded Region would be
Area of Rectangle – Area of circle
Area of Rectangle = 12 x 6 =72
Area of Circle = πr² = π x 3² = 28.27
AREA OF SHADED REGION= 72 - 28.27
=43.73in².
10.
The shape contains a semicircle on a rectangle
Area of the shape = Total Surface Area of semicircle + Area of a Rectangle
Total Surface Area of a semi circle=2πr²
Diameter was given = 4cm
Radius = Diameter/2 = 4/2 = 2cm
= 2 x π x 2² = 25.13cm²
Area of rectangular part = 4 x 7 =28cm²
AREA OF FIGURE = 25.13 + 28 =53.13cm².
Pls notify me if there are any Mistakes.
Have a great day!
Can someone please answer this I’ll give brainliest
Answer:
Step-by-step explanation:
If you look at the diagram, you notice there are two triangular bases and three rectangular faces.
Therefore, the surface area, or the total area of all the bases and faces, would be the area of one triangular base multiplied by 2 and the area of each rectangular face
area of triangle = (1/2)*height*base
area of triangular base = (1/2)*15*28 = 210 cm^2
area of rectangle = base*height
area of rectangular face #1 = 25*30 = 750 cm^2
area of rectangular face #2 = 17*30 = 510 cm^2
area of rectangular face #3 = 28*30 = 840 cm^2
total surface area = 2*210 + 750 + 510 + 840 = 2520 cm^2
a=7 c=25 b=? plz help
Answer:
b=24
Step-by-step explanation:
b= [tex]\sqrt{a^{2}-x^{b} }[/tex]
Help please, I need it due today and urgently.
Answer:
Step-by-step explanation:
James is one meter and 63 centimeters OR what your teacher likely wants
James is one and sixty-three hundreths meters tall
Ani is wrong
4 and 8 hundreths means 4.08
4.8 would be 4 and 8 tenths
ITS URGENT! PLEASE HELP!
Answer:
x = -3 b no answer is 1/27000
Step-by-step explanation:
he tables for f(x) and g(x) are shown below.
x
f(x)
–5
–11
–2
1
1
13
5
29
x
g(x)
–5
–7
–2
–1
1
5
5
13
What is the value of (f – g)(5)?
–18
–4
16
42
Answer:
[tex](f - g)(5) = 16[/tex]
Step-by-step explanation:
Given
See attachment for tables
Required
[tex](f - g)(5)[/tex]
This is calculated as:
[tex](f - g)(5) = f(5) - g(5)[/tex]
From the table, we have:
[tex]f(5) = 29;\ \ g(5) = 13[/tex]
So:
[tex](f - g)(5) = 29 - 13[/tex]
[tex](f - g)(5) = 16[/tex]
Answer:
Keep it simple: 16
Step-by-step explanation:
Jude arrived at work 7:55 am and left at 4:15pm . For how long was he at work
Answer:
500 minutes= 8.33 hr
Step-by-step explanation:
The number of hours that he works will be 8 hours and 20 minutes.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Jude arrived at work at 7:55 am and left at 4:15 pm.
Convert the time into 24 hours system. Then we have
4:15 pm = 16: 15
7:55 am = 7: 55
Then the number of hours is given as,
16: 15
- 7: 55
8: 20
Then the number of hours that he works will be 8 hours and 20 minutes.
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In the diagram, If mÐAOB = (3x)° and mÐBOC = (5x – 6)°, then what is the value of x?
Answer:
X=12
Step-by-step explanation:
Given, OC⊥AD , ∠AOB=3x° & ∠BOC=(5x-6)° .
We Know ∠AOC=90
& ∠AOC=∠AOB + ∠BOC
90 = 3x + (5x-6)
90+6 = 8x
8x=96⇔x=12
(For Diagram,Please find in Attachment)
The length of a rectangle is 6 yards more than 8 times the width. The perimeter is 102 yards. Find the length and width.
•show work/steps!!
•any links/wrong answers will be reported
Help please guys if you don’t mind
Answer:
220 people per year.
that is the answer