Answer:
Complementary angles add to 90 degrees.
If they are equal, each angle is 45 degrees.
Step-by-step explanation:
Nelson decides to invest $1,000,000 in a period annuity that earns 4.8% APR
compounded monthly for a period of 15 years. How many years will it take
Nelson to earn back his initial investment?
Answer:
21yearsStep-by-step explanation:
Amount invested by Nelson = $1,000,000
Interest rate per month = 4.8%
Simple Interest = Principal * Rate * Time/100
simple Interest = $1,000,000 * 4.8 *(1/12)/100
simple Interest = $1,000,000 * 4.8/1200
simple interest = $4,000/ month
Simple interest for one year = $4,000*12 = $48,000
In order to determine the number of years it will take Nelson to earn back his initial investment, we will divide its initial investment by the interest earned on the investment yearly as shown;
amount of years = $1,000,000/ $48,000
Amount of years = 20.8years ≈ 21years
10.7 years
Step-by-step explanation:
hope this helps
what is the volume of the prism to the nearest whole unit?
Answer:
715 in^3; Option D
Step-by-step explanation:
We know that the basic formula for most 3 - dimensional figures is to multiply the base by height. Here the base consists of dimensions 13 by 11, with height 5 inches so that the volume of this rectangular prism can be calculated through the following procedure;
[tex]Base - 13 in * 11 in = 143 in * in = 143 square inches,\\Height - 5 inches,\\Volume of Rectangular Prism - Base * Height = 143 square inches * 5 inches = 715 cubic inches / 715 in^3\\\\Solution; 715 in^3[/tex]
Volume of Prism ⇒ 715 in^3; Option D
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to ?
(5 – 7)2
(5)2 – 7
(5)2(5 – 7)
(5 – 7)x2
Answer:
Option A.
Step-by-step explanation:
The given question is incomplete. Let as consider we need to find [tex](g\circ h)(5)[/tex]
The given functions are
[tex]h(x)=x-7[/tex]
[tex]g(x)=x^2[/tex]
We need to find the expression for [tex](g\circ h)(5)[/tex].
[tex](g\circ h)(5)=g(h(5))[/tex]
[tex](g\circ h)(5)=g(5-7)[/tex] [tex][\because h(x)=x-7][/tex]
[tex](g\circ h)(5)=(5-7)^2[/tex] [tex][\because g(x)=x^2][/tex]
Therefore, the correct option is A.
if w = 54 what is the value of x
Answer:
i think it's like this
Step-by-step explanation:
w+7x+3x=180
w+10x=180
54+10x=180
10x=180-54
10x=126
x=126-10
x=116
Answer=116
I hope it's right :)
Can someone help me with this question?
The one-year survival rate for pancreatic cancer is 20%. Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year. What is the probability of that happening.
Answer:
The required probability is 0.0155.
Step-by-step explanation:
We are given that the one-year survival rate for pancreatic cancer is 20%.
Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.
The above situation can be represented through binomial distribution;
[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]
where, n = number of trials (samples) taken = 12 people
r = number of success = 6 survived
p = probability of success which in our question is probability of
one-year survival rate for pancreatic cancer, i.e; p = 20%
Let X = Number of people survived one year
So, X ~ Binom(n = 12 , p = 0.20)
Now, the probability that 6 survived one year is given by = P(X = 6)
P(X = 6) = [tex]\binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}[/tex]
= [tex]924 \times 0.20^{6} \times 0.80^{6}[/tex]
= 0.0155
Area of a triangle (picture provided)
Answer:
C
Step-by-step explanation:
The area of triangles is 1/2 x b x h.
Plug them in!
1/2 x 24 x 35
Simplify.
12 x 35
420 square inches
Find the value of x in each case. Give reasons to justify your solutions! NEEDED ASAP
Answer:
( x = 17° )
Step-by-step explanation:
Consider the following steps;
[tex]m< ZYW = 2x - Given,\\m< YXW = ( 3x - 5 ) - Given,\\m< XYW = 90 - Given,\\\\m< YXW + m< XYW + m< YWX = 180 - Sum of Angles in Triangle,\\( 3x - 5 ) + 90 + m< YWX = 180,\\3x - 5 + 90 + m< YWX = 180,\\3x - 5 + m< YWX = 90,\\m< YWX = 90 - 3x - 5,\\m< YWX = 85 - 3x,\\\\m< ZYW = m< YWX - Alternate Interior Angles,\\2x = 85 - 3x,\\5x = 85,\\Conclusion ; ( x = 17 degrees )[/tex]
Solution ; ( x = 17° )
Plz help asap, shdhhshdhshxh
Answer:
The measure of angle 2 is 38 degrees
Step-by-step explanation:
38 degrees and angle 6 are vertical angles and are equivalent. Angle 6 and 2 are alternate interior angles meaning that they are also equivalent. So the angle of measure 2 must be 38 degrees.
Answer: 38 degrees
Step-by-step explanation: angle 8 is an exterior angle to angle 4. Angle 4 is vertical to angle 2 so the answer would be 38 degrees.
HOPE THIS HELPS
What is the volume of a sphere if it has a radius of 3 centimeters? (Use 3.14 for π.)
The right answer is 113.04cm^3
please see the attached picture for full solution
hope it helps
good luck on your assignment
Answer:
113.04
Step-by-step explanation:
→The formula for the volume of a sphere is:
[tex]V = \frac{4}{3} (3.14)r^3[/tex]
→The "r," is the radius, which is already given as 3.
[tex]V = \frac{4}{3} (3.14)3^3[/tex]
V = 113.04
Find the volume of a pyramid with a square base, where the area of the base is
12.7 ft- and the height of the pyramid is 17.8 ft. Round your answer to the nearest
tenth of a cubic foot.
Answer:
Volume, [tex]V= 75.35\ \text{feet}^3[/tex]
Step-by-step explanation:
We have,
Area of the base of of a pyramid with a square base is 12.7 ft
Height of the pyramid is 17.8 ft
It is required to find the volume of of a pyramid with a square base.
The formula used to find the volume of a pyramid with a square base is given by :
[tex]V=\dfrac{1}{3}Ah[/tex]
Plugging all the values in above formula
[tex]V=\dfrac{1}{3}\times 12.7\times 17.8\\\\V=75.35\ \text{feet}^3[/tex]
So, the volume of a pyramid is [tex]75.35\ \text{feet}^3[/tex].
Answer: 75.4 ft^3 when rounded
Step-by-step explanation:
Volume of Pyramid V=1/3BH
Area of base= 12.7
h=17.8
V=1/3 (12.7)(17.8)
V=75.353333
V=75.4 ft^3
AB is included between
A. BC and AC
B.
C. < A and
D. AB and BC
Answer:
Option C.
Step-by-step explanation:
By the property of unique triangles (ASA), one side is included between the two angles.
By this property, if included side of the triangle ABC is AB then this side will be included between the two angles A and B.
Therefore, [tex]\bar{AB}[/tex] is included between ∠A and ∠B.
Option C. will be the answer.
How many 3-digit multiples of 13 are there?
Answer:
There are 69
Step-by-step explanation:
1+(104-998)/13=69
What is the Product?
Answer:
C
-9,-8 and 2,0
Step-by-step explanation
edge 2021
x^2 + 4x = 6
solve by completing the square plz show step by step
Answer:
x = -2 ±sqrt( 10)
Step-by-step explanation:
x^2 + 4x = 6
Take the coefficient of x
4
Divide by 2
4/2 =2
Square it
2^2 =4
Add this to each side
x^2 + 4x+4 = 6+4
Take the 4/2 term which is the factor inside the (x+ )^2
(x+2)^2 = 10
Take the square root of each side
sqrt((x+2)^2) =±sqrt( 10)
x+2 = ±sqrt( 10)
Subtract 2 from each side
x+2-2 = -2±sqrt( 10)
x = -2 ±sqrt( 10)
Answer:
x= +/- \sqrt(10) - 2
Step-by-step explanation:
use the formula (b/2) in order to create a new term.
Solve for x by using the term to complete the square.
Use mathematical
reasoning to explain how
someone can predict the
number of people that will
become infected based on
the number of days in
school.
Answer:
This is a pretty broad question but im guessing you could use math to calculate how many people would get infected each day. You could start with
Ex.
Okay if we have one infected person how many people could they possibly pass the illness onto the next day. Well if they have x number of classes and see y number of people in those classes whats the PROBABILIITY one of those people gets the virus. Than you could calculate how many people will get infected the NEXT day.
A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Everyone liked at least one sport except 7 kids, which doesn't like any of these three kind of sports. 12 children liked Chess and Football but not Swimming, 16 children liked Chess and Swimming but not Football, 8 children liked Swimming and Football but not Chess, 10 children liked Chess only, 40 children liked Swimming, 32 student liked Football.
a)Find the number of kids who liked Swimming and Football.
b)What is the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?
c)What is the probability that a randomly-chosen child from this group does not like active kinds of sport?
Answer:
see below
Step-by-step explanation:
Let C = chess
S = swimming
F = football
x = football only
y = all three sports
z = swimming only
x+y+ 8+12 = 32 those who like football
y+z+8+16 = 40 those who like swimming
7+x+8+y+12+10+16+z = 72 all children
Simplifying these equations
x+y = 32-20 = 12
y+z = 40-24 = 16
x+y +z = 72-53 = 19
Substituting x+y = 12 into the last equation
12 +z = 19
z = 7
y+z = 16
y = 9
x+y =12
x =5
Swimming only is 7
Football only is 5
Swimming and football y+8 = 9+8 = 17
P( chess or swimming but not football) = (10+16+z)/ total
=(10+16+7)/ total
=33/72
P( no active sport) = chess only or no sport/total
=(10+7)/72
What are two main purposes of all business?
deeloping communities ingraece
improving pubic image
incurring costs
macming profits
Answer:
Developing communities ingraece and improving pubic image is the correct answer to the given question
Explanation:
Following are the purposes of all business is given below
Giving the maximum profit to the owner of the business .Providing the social profit to the people as well as improving the pubic image in the environment .The business sometimes is creating the customer kindness in the organization .The business main objective to increasing the local jobs as well as in the disposable income.All the other option are not correct as we compare to the public environment so these are incorrect option .Answer:
earning revenue
maximizing profits
-6 + 4 i need help plz
Suppose a normal distribution has a mean of 38 and a standard deviation of
2. What is the probability that a data value is between 36 and 43? Round your
answer to the nearest tenth of a percent.
A. 56.5%
B. 62.5%
C. 83.5%
D. 77.5%
SUBMIT
Answer:
C. 83.5%
Step-by-step explanation:
-1 < z < 2.5
0.9938-0.1587 = 0.8351
83.5%
HELP PLEASE THANKS
Solve N = 3pg^2 - 2pv for v.
[tex]N=3pg^2-2pv\\\\N+2pv=3pg^2\\\\2pv=3pg^2-N\\\\v=\dfrac{3pg^2-N}{2p}[/tex]
which choice is equivalent to the quotient shown here when x>0
Answer:
D
Step-by-step explanation:
Answer:
C. x sqrt 5
I hope this helps! I just took the quiz
13. If 3 times a number minus 2 equals 13, what is the number?
A. 4
old
B. -6
OOOO
C.5
D.2
Answer:
5
Step-by-step explanation:
Answer:
The number is 5
Step-by-step explanation:
3x -2 = 13
Add 2 to each side
3x-2+2 = 13+2
3x = 15
Divide each side by 3
3x/3 = 15/3
x = 5
Which equation correctly represents the distance between - 15.1 and -3.9 on a number line?
- 3.9 - (-15.1)] = 11.2
-3.9 - 15.1 = -11.2
|- 15.2 + (-3.9) |= 19
-15.1 - 3.9 = -19
Answer:
Step-by-step explanation:
Keep in mind that distance is positive, not negative. Eliminate the negative results.
- 3.9 - (-15.1)] = 11.2 is correct. -(-15.1) - 3.9 is approximately 15 - 4, or 11, which agrees with the 11.2 correct result.
Which of the following does the graph show?
Answer:
4, D, or fourth option
Step-by-step explanation:
if x was 3, it would be greater
Answer:
thw last one
Step-by-step explanation:
the circle is colored in so it has to be more than or equal to/ less than or equal to ( basically the sign will have a line under it) and then the sign should be pointing the direction the arrow is pointing
Choose EVERY true proportion.
AB - DE
OAB - AC
AB - BO
BD
AC
BC
DE
Answer:
Step-by-step explanation:
I think its 2 and 4.
Which parabola will have one real solution with the line y = x – 5? y = x2 + x – 4 y = x2 + 2x – 1 y = x2 + 6x + 9 y = x2 + 7x + 4
Answer:
y = x² + 7x + 4
Step-by-step explanation:
First option
System of equations:
y = x² + x – 4
y = x – 5
Replacing:
x - 5 = x² + x – 4
0 = x² + x – 4 - x + 5
0 = x² + 1
Discriminant:
b²-4*a*c
0²-4*1*1
-4 < 0 then the equation has no real roots
Second option
System of equations:
y = x² + 2x – 1
y = x – 5
Replacing:
x - 5 = x² + 2x – 1
0 = x² + 2x - 1 - x + 5
0 = x² + x + 4
Discriminant:
b²-4*a*c
1²-4*1*4
-15 < 0 then the equation has no real roots
Third option
System of equations:
y = x² + 6x + 9
y = x – 5
Replacing:
x - 5 = x² + 6x + 9
0 = x² + 6x + 9 - x + 5
0 = x² + 5x + 4
Discriminant:
b²-4*a*c
5²-4*1*4
9 > 0 then the equation has two different real roots
Fourth option
System of equations:
y = x² + 7x + 4
y = x – 5
Replacing:
x - 5 = x² + 7x + 4
0 = x² + 7x + 4 - x + 5
0 = x² + 6x + 9
Discriminant:
b²-4*a*c
6²-4*1*9
0 then the equation has one real root
Answer: y = x² + 7x + 4
Step-by-step explanation:
Trust
Solve h = - 16t2 + 36 for the time t in seconds it takes for the height h to reach 0. Apply the square root method.
Step-by-step explanation:
I'm not sure what the square root method is, but I'm assuming that you factor.
This is how I would solve it:
[tex]h = - 16 {t}^{2} + 36 \\ 0 = - 16 {t}^{2} + 36 \\ 0 = - 4(4 {t}^{2} - 9) \\ 0 = (2t - 3)(2t + 3) \\ t = \frac{3}{2} \\ t = - \frac{3}{2} [/tex]
Since time can't be negative, you rule out the -3/2.
Answer:
[tex]t = \frac{3}{2}[/tex]
Greyson finances a car for $19,000. There is an additional $750 in fees, making the APR 5.95%. The interest rate on the loan is
a) 2.5%
b) 1.5%
c) 2.0%
d) 3.0%
Plz do it for meee x
Answer:
2,400cm²
Step-by-step explanation:
FORMULA FOR VOLUME OF A CUBOID = L×B× H
WHERE L is LENGTH =20cm
B=15cm
H= 8cm
:• VOLUME=20cm ×15cm ×8cm
=2,400cm²
Answer:
Volume = 2400 cm³
Step-by-step explanation:
Volume of Cuboid = [tex]Length*Width*Height[/tex]
Where L = 20 cm, W = 8 cm and H = 15 cm
Volume = [tex]20*8*15[/tex]
Volume = 2400 cm³
If f(x) = 3x - 2, find f(4).
Answer:
10
Step-by-step explanation:
f(x) = 3x - 2
Let x=4
f(4) = 3*4 - 2
=12-2
=10
Answer:
10
Step-by-step explanation:
Replace 4 for all the x values and solve
f(4)=3(4)-2
f(4)=12-2
f(4)=10