Answer:
A) Amount = $ 116,601.31
B) Compound Interest = $ 91,601.31
Step-by-step explanation:
Compound interest Formula
A = P(1 + r/n)^nt
Where
P = Initial amount invested = $25,000
r = interest rate = 5.5 %
n = Compounding frequency = daily
t = time in years = 28 years
A). What amount will he have in his account 28 years later ?
First, convert R percent to r a decimal
r = R/100
r = 5.5%/100
r = 0.055 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 25,000.00(1 + 0.000150685/365)^(365)(28)
A = $ 116,601.31
B.) How much will be compound interest ?
I = Amount - Principal
A(Amount ) = $ 116,601.31
P (principal) = $ 25,000.00
I = $ 116,601.31 - $ 25,000.00
I (interest) = $ 91,601.31
If the simple interest on $7,000 for 3 years is $1890, then what is the interest rate?
Answer:
I = Prt
Interest = Principal x rate x time
Step-by-step explanation:
1890 = 7000(3)r
1890 = 21000r
r = 1890/21000
r = .09 or 9%
Which lines are parallel? Check all that apply
A: B||F
B: B||D
C: C||E
D: C||D
E: D||F
F: E||F
Answer:
Options A, C and D
Step-by-step explanation:
Option A
Angle p = 180° - 89.5° = 90.5° [Linear pair of angles]
If b║f and line a is a transversal line,
m∠p = 90.5° [Alternate exterior angles]
True
Option B
If B║D and line a is a transversal,
m∠q = 89.5° [vertically opposite angles]
∠q + 89.5° = 89.5° + 89.5° = 179°
But angles q and angle with measure 89.5° are the consecutive interior angles and their sum should be 180°.
So the given statement is False.
Option C
c║e
Since, m∠r = 91.5° [Vertically opposite angle]
And m∠r + 89.5° = 180° [Consecutive interior angles]
True.
Option D
c║d
Since, ∠r and ∠q are consecutive interior angles,
m∠r + m∠q = 180°
91.5° + 89.5° = 180°
True
Option E.
d║f
m∠s = 90.5°[Vertically opposite angles]
Since, ∠s and angle with measure 89.5° are the alternate interior angles,
So measure of angle s should be 89.5°.
Therefore, d║f is False.
Option F.
If e║f, angles with measures 89.5° and 90.5° should be equal.
But measures of both are different.
Therefore, e║f is False.
Options A, C and D are the correct options.
can someone help me
Answer:
a: the points graphed would be: (5,4), (3,5), (2,3), (3,6), (1,1)
b: the domain is: 5, 3, 2, 3, 1 and the range is: 4, 5, 3, 6, 1
c: the relation is not a function because some of the x-values are repeated
Step-by-step explanation:
Which of the sets of ordered pairs represents a function? (5 points) A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2), (6, −3), (−9, 5)} Only A Only B Both A and B Neither A nor B
Answer:
We conclude that Neither A nor B represents the function.
Hence, the correct option is:
Neither A nor BStep-by-step explanation:
A function relates an input to an output.
For example, a certain animal grows 30 cm each year. Thus, the height of the animal is associated with its age using the function
h (age) = age × 30
Therefore, if the age of the animal is 3 years, the height is:
h(3) = 3 × 10 = 90 cm
Set A
A = {(1, −5), (8, −5), (8, 7), (2, 9)}
Please check that there are duplicated inputs.
i.e. x = 8 is appeared twice.
Thus, set A does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.
Therefore, the set A of ordered pairs does not represent a function.
Set B
B = {(7, −4), (7, −2), (6, −3), (−9, 5)}
Please check that there are duplicated inputs.
i.e. x = 7 is appeared twice.
Thus, the set B does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.
Therefore, the set B of ordered pairs also does not represent a function.
Conclusion:
We conclude that Neither A nor B represents the function.
Hence, the correct option is:
Neither A nor BPLZ HELP 50 POINTS
1. The slopes of the sides of a triangle are 3/4, -1/2, and 2.
Is the triangle a right triangle?
If so, explain how you know that it is a right triangle.
Answer:
cuz of the 3\4 and the 1\2
Step-by-step explanation:
Can some one help me?
Answer:
W = 10 cm
Step-by-step explanation:
Area of a Triangle and a Rectangle
The area of a triangle of base B and height H is:
[tex]\displaystyle A_t=\frac{BH}{2}[/tex]
The area of a rectangle of width W and length L is:
[tex]A_r=WL[/tex]
We are given the base of the triangle B=6 cm and the height H=8 cm, thus the area is:
[tex]\displaystyle A_t=\frac{6*8}{2}= 24\ cm^2[/tex]
The area of the rectangle is 5 times the area of the triangle, thus:
[tex]A_r=5*24\ cm^2=120\ cm^2[/tex]
If we know the area of the rectangle and its length, we can find the width by solving for W:
[tex]\displaystyle W=\frac{A_r}{L}[/tex]
The rectangle has a length of L=12 cm, thus:
[tex]\displaystyle W=\frac{120}{12}=10\ cm[/tex]
W = 10 cm
Jared and Mike are racing
to meet at the park which
is 4 miles away from their
house. Jared runs at a rate
of 1 mile every 10 minutes
and Mike runs at a rate of
0.5 miles every 4 minutes.
Who will get there first?
Someone can help me with this?
Answer:
VUT- FEG
QRS-QGF
Step-by-step explanation:
Round to the nearest percent.
From 13 friends to 19 friends
what is the percent increase?
Answer: 19
Step-by-step explanation:decrease this is really easy truest me wait actually dine lmoa hahah
88 multiplied by 10000
Answer:
880,000
I hope this helps!
Answer:
880,000
Step-by-step explanation:
10000 x 88 = 880000
When multiplying by anything with zero's, without decimals. You will multiply your two numbers (other than 0) by each other, then add however many zero's there are total to the end.
The ages of 10 randomly selected students in a piano class are recorded below. 12, 14, 16, 15, 14,
18, 11, 12, 14, 15
What is a good estimate of the average age of all the students in the piano class?
A: 12 years
B: 14 years
C: 18 years
D: 16 years
Answer:A ..
Step-by-step explanation:
Gas costs $1.64 a gallon. Elaine spent $23.78 at a gas station. How many gallons of gas did she buy? (Tell me how you got the answer)
Answer:
if the cost on gas is 1.64 you can divide 23.78 by 1.64 which is 14.5
Step-by-step explanation:
23.78 divided by 1.64 =14.5
Answer:
14.45
Step-by-step explanation:
can someone help out
Answer: was there a total number of people?
Step-by-step explanation:
Answer:
1720
Step-by-step explanation:
so 45 percent were supporting visiting team
100 is the total
100-45=55
55 percent=people supporting home team
55%=946 people
946/55
17.2=1%
so multiply 17.2 times 45
774 supported visiting team
to find total add 774+946 or multiply 17.2 times 100
1720
solve the folloeing equation for a number x.
5x-x-6=6(2x+7)
plllllzzz help
Answer:
x=-6
Step-by-step explanation:
5x-x-6=6(2x+7)
4x-6=6(2x+7)
4x-6=12x+42
-8x=48 |:(-8)
x=-6
Help please!!!!ASAP! Ill give brainliest! And 50pts!
What is the value of q?
HURRY PLEASE
Based the equation, what is
the slope
y= 3x+1
Answer:
3
Step-by-step explanation:
y=mx + b, slope = m.
fatima donates 20000 rs to a school ,the interest on which is to be used for awarding 5 scholarships of equal value every year. If the donater earns an interest of 10% per annum,find the value of each scholarship
Answer: ₹400
Step-by-step explanation:
The interest is 10% of ₹20,000 which is;
= 10% * 20,000
= ₹2,000
It is to be awarded to 5 scholarships of equal value. Each scholarship is there valued at;
= 2,000/5
= ₹400
Solve each of the following: Show your work. 3 movie tickets cost $36. At this rate, what is the cost per ticket? 3 ice cream cones cost $8.25. At this rate, how much do 2 ice cream cones cost? 3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
Answer: Look below for the answers
Step-by-step explanation:
unit rates...
MOVIE TICKETS
$36/3=12
$12 for each ticket so
ICE CREAM CONES
$8.25/3=$2.75
$2.75 for each cone so
2 icecream cones cost $5.5
BANANAS
.99/3=.33
.33 for each banana so
.33*5=$1.65
Math Problem:
(PLEASE HELP ME I WILL GIVE BRAINLIEST)
Tammy figured her math exam would be difficult unless she put in at
least 15 hours of study time to prepare. She studied 2½ hours on
Monday, 3 hours on Tuesday, 4¾ hours on Wednesday, and 4 ½
hours on Thursday. Did she study at least 15 hours? Explain.
Answer: She put 14 hours and 45 minutes into studying.
Step-by-step explanation: 2 1/2 hours plus 4 1/2 hours is 7 hours. Plus 3 is 10 hours. Plus 4 3/4 is 14 3/4 hours. 14 3/4 hours is = to 14 hours 45 minutes studying.
!!!!!HELP ASAP WILL MARK BRAINLIEST IF CORRECT!!!!!!
Salt was mixed with pure water in a 1:3 proportion. What is the percentage of salt in the new solution?
Answer:
25%
Step-by-step explanation:
The proportion of salt in the mixture is 1:3; which means that for every portion of solution, salt makes up 1 part for every 3 parts of pure water.
Thus, salt makes up 1 part of every 1+3=4 portions of solution, or 25% ....................
Answer:
25 percent, because 1/4 is 0.25
Identify the description of data that would be best represented by a histogram.
O IQ scores
O hours a store is open each week
o number of trees sold each day
O favorite ice cream
here is a polygon. draw a scaled copy of the polygon using a scaled factor or 1/2
tell me the size amount since you cant draw
Answer:Answer: For the first question it is basically half of the polygon.
Step-by-step explanation:
If you count the units, for example one of the side is 4 units. What is half of 4. It is 2
You are given 3 sticks of length 2 cm, 3 cm and 5 cm. What kind of triangle these sticks would form ? Justify your answer ?
Answer:
These sticks would for a scalene triangle.
Step-by-step explanation:
This is because none of the lengths are equal
Need help please come help
Answer:i ate cookies
Step-by-step explanation:
How can x + 3 = -2x + 5 be set up as a system of equations? (1 point)
01) y - x + 13
y = -2x + 5
O2) y = x + 3
Y-3x + 11
O3) y = x + 12
y = -2x + 1
O4) y = x + 3
y = -2x + 5
9514 1404 393
Answer:
4) y = x + 3
y = -2x + 5
Step-by-step explanation:
Set each side of the equal sign equal to y.
Left side:
y = x + 3
Right side:
y = -2x +5
Plz help what is 1 and 2:)!!!
Gareth enjoys swimming. The graph represents Gareth’s distance in feet from the bottom of the pool in terms of the time he swims in minutes. What is the rate of change of Gareth’s distance from the bottom of the pool with respect to time, and what is his initial distance from the bottom? A. rate of change = 0 feet per minute, and distance = 0 foot B. rate of change = 12 feet per minute, and distance = 12 feet C. rate of change = 12 feet per minute, and distance = 0 foot D. rate of change = 0 feet per minute, and distance = 12 feet
Answer:
D.
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
Choose which postulate proves the triangles congruent.
(please answer for all of them thanks in advance)
9514 1404 393
Answer:
ASA, SAS, SSS, SAS, ASA
Step-by-step explanation:
In order of attachments, left to right:
1) ASA . . . . the bisected angles are on either end of the common segment. ∆ABC ≅ ∆ADC
__
2) SAS . . . . the vertical angle lies between the sides congruent by virtue of the midpoint being X. ∆RSX ≅ ∆PQX
__
3) SSS . . . . two sides and the shared segment are congruent. ∆KLM ≅ ∆KGM
__
4) SAS . . . . the parts of the bisected angle lie between the congruent sides and the common side. ∆WXZ ≅ ∆YXZ
__
5) ASA . . . . the common segment lies between parts of a bisected angle and ones that are given as congruent. ∆PQR ≅ ∆SQR
An aquarium has a base in the shape of a trapezoid. The base is 80 cm long at the front, 50 cm long at the back, and 30 cm wide (from front to back). The height is 100 cm. What is the volume of the aquarium in litres?
Answer:
The volume of the aquarium is 195 litres.
Step-by-step explanation:
The volume ([tex]V[/tex]), measured in cubic centimetres, of the aquarium is equal to the area of the base multiplied by the height. That is:
[tex]V = \frac{1}{2}\cdot (L+l)\cdot w\cdot h[/tex] (1)
Where:
[tex]L[/tex] - Long leg length of the aquarium, measured in centimetres.
[tex]l[/tex] - Short leg length of the aquarium, measured in centimetres.
[tex]w[/tex] - Width of the aquarium, measured in centimetres.
[tex]h[/tex] - Height of the aquarium, measured in centimetres.
If we know that [tex]L = 80\,cm[/tex], [tex]l = 50\,cm[/tex], [tex]w = 30\,cm[/tex] and [tex]h = 100\,cm[/tex], then the volume of the aquarium is:
[tex]V = \frac{1}{2}\cdot (80\,cm+50\,cm)\cdot (30\,cm)\cdot (100\,cm)[/tex]
[tex]V = 195000\,cm^{3}[/tex]
If we know that a litre equals 195000 cubic centimetres, then the volume of the aquarium is:
[tex]V = 195000\,cm^{3}\times \frac{1\,L}{1000\,cm^{3}}[/tex]
[tex]V = 195\,L[/tex]
The volume of the aquarium is 195 litres.
Find the x−and y−intercepts. 3x + 12y = −48
Answer:
y-intercept: (0,-4)
x-intercept: (-16,0)
Step-by-step explanation:
To solve for X, Substitute 0 for Y and continue.
To solve for Y, Substitute 0 for X and continue.