Answer:
100
Step-by-step explanation:
Because you just add 10, 10 times
A man invests $16800 in a savings plan that pays simple interest at a rate of 5% per annum. Find the time taken for his investment to grow to $19800.
Answer: 3.57 years
Step-by-step explanation:
Based on the question given, the interest is the difference between the amount and the principal which will be:
= $19800 - $16800
= $3000
The formula for Simple interest is given as:
Interest = Principal × Rate × Time
3000 = 16800 × 5% × Time
3000 = 16800 × 0.05 × Time
3000 = 840 × Time
Time = 3000 / 840
Time = 3.57
The time taken to grow the investment is 3.57 years
Factor n2 + 8n + 12 completely.
Answer:
(n+2)(n+6)Step-by-step explanation:
[tex]n^2+8n+12\\\\[/tex]
Break the expressions into groups
[tex]=\left(n^2+2n\right)+\left(6n+12\right)\\\\[/tex]
Factor out n from n^2+2n
Factor out 6 from 6n+12
[tex]=n\left(n+2\right)+6\left(n+2\right)[/tex]
Factor out common term : n+2
[tex]=\left(n+2\right)\left(n+6\right)[/tex]
The factors of the quadratic equation by applying the factorization method are (n + 2) and (n + 6).
Given that,
The quadratic equation is,
n² + 8n + 12
Used the factorization method to factor the quadratic equation.
Now, factor the equation,
n² + 8n + 12
n² + (6 + 2)n + 12
n² + 6n + 2n + 12
n (n + 6) + 2(n + 6)
(n + 2) (n + 6)
Therefore, the factors of the equation are (n + 2) and (n + 6).
To learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ6
The question is down below
Answer:
The volume at the highest point is 64 times greater
Step-by-step explanation:
Mathematically, the volume of a sphere is simply the same formula irrespective of the size
Now, we have the formula as;
V = 4/3 * pi * r^3
While the 4/3 pi is a constant term, the value of r changes
initially we have the value of r as d = 2
where r is the radius and d is the diameter
we have this as;
8/2 = 4 ft
r^3 of this is 4^3 = 64
For the second part, we have
r as 32/2 = 16 ft
now, the r^3 part here is 16^3 = 4096
So now, we have to divide the final by the initial
we have this as 4096/64 = 64
So the volume at the highest point is 64 times greater
Solve the equation below by completing the square.
x? + 8x = -11
Answer:
[tex]x { }^{2} + 8x + 11 = 0 \\ d = 64 - 44 = 20 \\ x1 = \frac{ - 8 - \sqrt{20} }{2} = - 4 - \sqrt{5} \\ x2 = \frac{ - 8 + \sqrt{20} }{2} = - 4 + \sqrt{5} [/tex]
Let’s say you want to play a new card game called Pokee. Every player isdealt 4 cards and everyone compares what hands they have to see who wins. Our job isto figure out what the hierarchy of the hands should be. Below is a list of several scoringhands that we wish to compare. For each hand, count how many hands of that type thereare (include the expression you used to get that value) along with a simple explanation ofhow you got that expression. Assume a standard 52 card deck with 4 suits.
a) Presidential Flush (J, Q, K, Ace, all the same suit)
b) Straightish (4 consecutive cards)
c)Flushed (4 cards of the same suit)
d) House (Two pairs of different cards)
Answer:
a)
Step-by-step explanation:
base on the hierarchy of the hands should be
Straight flush - Poker hand in with 4 consecutive cards of the same suit
Flush - Poker hand with any 4 cards of the same suit
Full house - Poker hand that contains three of the same cards and one pair
Since: Poker hand refers to the 4 cards that are held in the game. Every game features the same hierarchy of poker hands. Based on this hierarchy, there can be different types of poker hands:
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet.
Complete question :
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?
1) 2 1/2 feet
2) 3 feet
4) 5 feet
5) 8 1/2 feet
Answer:
2.5
Step-by-step explanation:
Solving for X in the perimeter equation :
2[(12+2x)+15+2x)]=74
Open the bracket
2[(12 + 2x + 15 + 2x)] = 74
2(27 + 4x) = 74
54 + 8x = 74
8x = 74 - 54
8x = 20
x = 20/8
x = 2.5
Hence, width fo border = 2.5
REAL ANSWERS ONLY!!! 20 POINTS
Answer:
113°Step-by-step explanation:
Angle formed by two chords = 1/2(sum of intercepted arcs)
m∠NSR = 1/2(176° + 50°) m∠NSR = 113°find the lcm of m²+2m, m²- 4 ,m² + 3 m+2 plzzzz answer fast
Answer:
(m + 2)
Step-by-step explanation:
First, factorise out m from the first equation:
m² + 2m = m (m + 2)
Second, use difference of two squares to factorise the 2nd equation:
m² - 4 = (m + 2) (m - 2)
Third, just factorise the last one normally as you would to solve for m:
m² + 3m + 2 = (m + 2) (m + 1)
Finally, to find the lowest common multiple, you need to identify what value goes into all of the equations and that is (m + 2).
Rebecca decides to give all employees in her company a raise on their daily wage. She allows each employee to
choose between two options.
• Option 1: $10 added to the daily wage.
• Option 2: 10% increase on the daily wage.
Enter a whole number daily wage amount for which Option 1 is a larger raise. Enter your response in the first
response box.
Enter a whole number daily wage amount for which Option 2 is a larger raise. Enter your response in the second
response box.
Pretty pwease help are im gonna get hit oml I just wanna gts
Clark deposited $3600 for three years into a money market account. At the end of three years he had earned $432 in interest. What rate of interest did he receive? (See Example 1 from your notes.)
a
3.8%
b
4%
c
4.32%
d
0.04%
if f(x) = 1/5 x^2 – 3x, what is the value of f(5)? please help
Answer:
0, -10
Step-by-step explanation:
PICK ABC OR D !!!!!!!!
1.8 is greater than 1 so it is an increase. Raised to an exponent is an exponential increase.
The correct answer would be A. Bacteria growth increases exponentially
Roberta stood on a 36 in. high chair, then jumped into a
18 in. deep hole. Which equation applies to her action?
1.
Calculate 7% of 340
Answer:
23.8
Step-by-step explanation:
x/340= 7%/100%
340*7= 2380
2380/100 =23.8
Answer:
7
___ x 340 = 23.8
100
Using the keywords:
Of means multiplication
Consider a percent out of 100
A way to remember is that, cent means 100.
Brainliest appreciated!
Pls help, cant find this question anywhere else.
When expressing a number in scientific notation, the value of must be a ________.
Answer:
I think its "decimal" Im not sure tho
Step-by-step explanation:
to be specific I would say "decimal that is rounded to the hundredths place"
What is the equation of the line that passes through the point (4, -8) and
has a slope of - 1/2?
Answer:
I have no idea.
Step-by-step explanation:
??
Anyone know how to do this? If so PLZ HELP ASAP
Answer:
20
Step-by-step explanation:
Answer:
3626 i hope this is correct sorry if it is not
Step-by-step explanation:
In ΔWXY, w = 410 inches, x = 530 inches and y=830 inches. Find the area of ΔWXY to the nearest 10th of an square inch.
Answer:
90,597 square inches
Step-by-step explanation:
In ΔWXY, w = 410 inches, x = 530 inches and y=830 inches. Find the area of ΔWXY to the nearest 10th of an square inch.
We solve using Heron's formula
A = √s(s -a)(s - b) (s - c)
s = a + b + c/2
a = 410 inches
b = 530 inches
c = 830 inches
Hence,
s = 410 + 530 + 830/2
s = 885
A = √885(885 - 410)(885 - 530)(885 - 830)
A = 90,597.030166557 square inches
Approximately = 90,597.0 square inches
The front view of the top of a house is in the shape of a triangle whose
height is 10 inches less than the length of its base and its area is 75 in2. If b
represents the length of the base, which of the following equations can be
used to find the value of b?
Answer:
uiptyftyfkghfcytfghvchjcghcfgcjvbcfg
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 75, b = b , h = b - 10, then
[tex]\frac{1}{2}[/tex] b(b - 10) = 75 ( multiply both sides by 2 to clear the fraction )
b(b - h) = 150 ← option 2
Find the length of each arc. Use the exact answer
Answer:
D) 16π/3 ft
Step-by-step explanation:
The Question is calculated using Arc length formula
Arc length = 2πr × θ /360
r = 4 ft
θ = Central angle in degrees = 240°
2 × π × 4 × 240/360
8π × 240/360
8π × 20/30
16π/3 ft
Hence, the arc length = Option D = 16π/3 ft
Answer my question and I’ll give you points, stars, and brainlest
Put the # of the question and than answer it.
Please help me find the circumference.
Answer:
15pi
Step-by-step explanation:
The equation for circumference is C=2πr
In the question you're given the diameter so we need to take 15 and divide by 2
giving us r=7.5
then 7.5*2=15
giving us 15pi
Which mapping diagram represents a function ? Would it be D?
Answer:
D
Step-by-step explanation:
Mathematically , for us to have a function, no 2 y values must have a single x value
Although, 2 x-values can have a single y value
The y values called the output values are listed on the right
The x values called the input values are listed on the left
So out of the options, with the given definition above, the one that represents a function is the option D
Please Please Pleaaaase help me with this.
Answer:
multiple 2 with everything
Step-by-step explanation:
two by 3=6 6X2=12 and like this
Jayden took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number? Show your work.
doubling the number and then decreasing the result by 25%
increasing the number by 50%
multiplying the number by 1.25
multiplying the number by 2.5
Answer:
Step-by-step explanation:
increasing he number by 50%
look 25 x 2 = 50 woah duable means add th number again boom 50%
Answer:
third option (mult by 1.25)
Step-by-step explanation:
let's say the number is 10
now double it to get 20
now increase it be 25% which is the same as multiplying by 125% or 1.25; you will get 25
The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
Solution:-The age of Sita = (x + 5) years.
And, the age of Gautam = x years.
Now,
5 years ago, the ratio of their ages was 3 : 2
[tex] \therefore [/tex] [tex] \bf \frac{3}{2} \: = \frac{x \: + \: 5}{x} [/tex]
Now by cross multiplying, we get,
3x = 2(x + 5)
3x = 2x + 10
3x - 2x = 10
x = 10Hence, the age of Sita = (x + 5) = (10 + 5) = 15 years.
And, the age of Gautam = x = 10 years.
Now,
The present age of Sita = 15 + 5 = 20 years. (Answer)
And, the present age of Gautam = 10 + 5 = 15 years. (Answer)
Shoppers leaving Midtown Mall were asked to give their age. Use the line plot to answer each question. This question is for 40 points and ill also mark brainliest
Answer:
20, 7, 5
Step-by-step explanation:
Range-20, range=most
Mode-7, mode=22-15
Most-5
a phone call starts at 9:14a.m. the call lasts for 24 minutes. what time does the call end?
8:46 a.m.
9:28 a.m.
9:42 a.m.
10:28 a.m.
Answer:
It would end at 9:38
Step-by-step explanation:
but obviously it is not one of the answer choices, so I would go with 9:42
-5/9 as a decimal is what
Answer:
59.00
Step-by-step explanation:
kind of common sense
help?!
Compound interest means interest is earned on top of interest.
True
False
Answer:
True.
Step-by-step explanation: