Answer:
$184383.7
Step-by-step explanation:
We are given that
Principal, P=$85800
Rate of interest, r=8.5%=0.085
Time, t=9 years
We have to find the amount of money after 9 years
[tex]V=Pe^{rt}[/tex]
Using the formula
[tex]V=85800e^{0.085\times 9}[/tex]
[tex]V=184383.7[/tex]
Hence, the amount of money after 9 years=$184383.7
Martha will build a pool in her backyard. She wants the pool to have a rectangular shape
and to be five meters long and three meters wide. What would the area in Martha's backyard that will be lost due to the construction of the pool? There are 3.28084 feet in
one meter.
A 15 square feet
B 80.729 square feet
C 161.459 square feet
D 322.918 square feet
9514 1404 393
Answer:
C. 161.459 square feet
Step-by-step explanation:
In feet, the dimensions of the pool are ...
(5 m)(3.28084 ft/m) = 16.4042 ft
(3 m)(3.28084 ft/m) = 9.84252 ft
Then the area of the pool is ...
(16.4042 ft)(9.84252 ft) = 161.458666584 square feet
about 161.459 square feet
_____
Additional comment
If you consider that a square meter is slightly less than 11 square feet, the pool area can be estimated to be (5 m)(3 m)(11 ft²/m²) = 165 ft². This is close enough to point you to the correct answer choice.
Lcm of 20, 3 quick math
Answer:
least common multiple of 20 and 3? it would be 60.
Does anyone know this answer ?
Pippin went to a game room that charged $4 admission, plus $0.25 per token. The equation which represents his total cost is y = 0.25x + 4.What are the ordered pairs for the equation when you use these x-values: 5, 10, 20?(5, 5), (10, 8), (20, 15)(5, 8), (10, 10), (20, 15)(5, 5.25), (10, 6.50), (20, 9)(5, 5.50), (10, 8.50), (20, 13)
Answer:
(5, 5.25) , (10, 6.50) , (20, 9)
Step-by-step explanation:
As given ,
y = 0.25x + 4
Now,
if x = 5
⇒ y = 0.25(5) + 4
= 1.25 + 4
= 5.25
⇒ y = 5.25
∴ the ordered pair be (x, y) = (5, 5.25)
if x = 10
⇒ y = 0.25(10) + 4
= 2.5 + 4
= 6.50
⇒ y = 6.50
∴ the ordered pair be (x, y) = (10, 6.50)
if x = 20
⇒ y = 0.25(20) + 4
= 5 + 4
= 9
⇒ y = 9
∴ the ordered pair be (x, y) = (20, 9)
Which graph represents the solution set for the inequality 7.5 < x?
Att +
-10-9-8-7 -6 -5 -4
+
-1 0
+
3 4
++++
7 8 9 10
-3-2
О
1
2.
5
6
-10-9-8-7 -6 -5 -4
LO
-32
-1
0 1
2
3
4
5
6
7 8 9 10
-3 -2 -1 0 1 2 3
-10-9-8-7 -6 -5 -4
4 5
6
7
8 9 10
AHHO++
-10-9-8-7 -6
-2
0 1
- 1
2
3
4
5
6
7
8 9 10
9514 1404 393
Answer:
(a)
Step-by-step explanation:
The appropriate graph is the one that has x-values greater than 7.5 shaded. That is the meaning of ...
7.5 < x
This probability distribution shows the typical grade distribution for a Geometry course with 35 students. HELLLPPP PLSSS
Answer:
P(A, B or C) = 6/7 or 0.8571
Step-by-step explanation:
From the image, we have the frequency for each grade as;
Grade A = 5
Grade B = 10
Grade C = 15
Grade D = 3
Grade F = 2
We want to find the probability that a student earns a grade of A, B or C.
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
Thus;
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
Answer:
0.86Step-by-step explanation:
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
now we round to the hundredths place
0.8571 ⇒ 0.86
8 miles is approximately 6 kilometers. How many kilometers is equal to 40 miles?
Answer:
30 kilometers
Step-by-step explanation:
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer
Answer:
neither!
Step-by-step explanation:
2. The time, t, for am ice cube to melt. is inversely proportional to the temperature, T, of the water the ice cube is placed. If it takes an ice cube 2 minutes to melt in 750F water, how long will it take an ice cube of the same size to melt in 800F water?
Answer:
21 mins
Step-by-step explanation:
9+10=21
Given the function f(x) = [tex]\frac{|x|}{x}[/tex] , find [tex]\lim_{x \to \00^-} f(x) and \lim_{x \to \00^+} f(x) and \lim_{x \to \00} f(x)[/tex]
Answer:
[tex]\displaystyle \lim_{x \to 0^-} f(x) = -1 \\ \lim_{x \to 0^+} f(x) = 1 \\ \lim_{x \to 0} f(x) = DNE[/tex]
General Formulas and Concepts:
Algebra I
Graphing FunctionsFunction NotationCalculus
Limits
Evaluating Limits GraphicallyIf [tex]\displaystyle \lim_{x \to a^-} f(x) = \lim_{x \to a^+} f(x)[/tex], then [tex]\displaystyle \lim_{x \to a} f(x)[/tex] existsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{|x|}{x}[/tex]
Step 2: Graph/Evaluate
Graph the function so we can evaluate the given limits. See attachment.
We see from the function that when we approach 0 from the left, we will get a -1.
∴ [tex]\displaystyle \lim_{x \to 0^-} f(x) = -1[/tex]
We see from the function that when we approach 0 from the right, we will get a 1.
∴ [tex]\displaystyle \lim_{x \to 0^+} f(x) = 1[/tex]
Since the limit from the left does not equal the limit from the right, the limit as x approaches 0 of f(x) does not exist (DNE).
I want to withdraw 400.00 for 9 years at 8%. How much do I need to deposit
Answer:
The principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.
Step-by-step explanation:
Given
Total accrued Amount A = 400.00 (Let say $)Time period t = 9 yearsInterest rate r = 8% = 0.08To determine
Principle P = ?
Using the formula
P = A / (1 + rt)
substituting A = 400.00, t = 9 and r = 0.08 in the formula
P = 400 / ( 1 + (0.08 × 9))
P = $232.56
Therefore, the principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.
I WILL GIVE BRAINLY What will be the surface area of the figure given below (in square feet)? Choose the correct option.
Answer:
145
Step-by-step explanation:
Each triangular side is 30ft
bottom is a 5*5 so it 25ft
30*4(#of sides)=120
120+25(bottom)=145
Answer:
I will give you the easy explanation here, go down there though to get a more complexed explanation and answer. Seeing it is a triangle, you can not multiply the 12 by 5. You have to multiply it by 2.5 because it dips in (because it's a triangle). Now you multiply the 5x5 to get 25. Now we have 25 for the base and 30 for each side. 30x4 to represent each side and add 25 for the base to get 145 as the final answer.
Step-by-step explanation:
Ok, they made this really easy with the 5's. You multiply the 5 by the 5 to get 25 in which the 12 there is about half of that, that made things really easy. Since the 12 goes to the middle that means that we can take what is from the middle to the side removing the half there getting you -2. Therefore, 12-2=10. Meaning the center is 10.
12. How much more energy is released by an earthquake with a magnitude of 8.0
on the moment magnitude scale than one with a 6.0 magnitude?
A 32 times more
B 64 times more
c 2 times more
D. 20 times more
Answer:
Lets conside the order of magnitudeWe have a different of 8.0- 6.0=2.0 An 8 magnitude has 63.09 ×10^15 joules A 6 magnitude has 63.09×10^12 J Which is 1000 times more energy Your answer choices are incorrect I do quizzes and exams if your interestedYou start driving north for 24 miles, turn right, and drive east for another 10 miles. At
the end of driving, what is your straight line distance from your starting point?
Answer:
26 miles.
Step-by-step explanation:
To solve this problem, the Pythagorean theorem must be applied, which states that the hypotenuse squared of every right triangle is equal to the sum of its squared legs, that is, A^2 + B^2 = C^2 .
Therefore, applying this formula, to determine the distance in a straight line from the starting point to the driving end point, the following calculation must be performed:
24^2 + 10^2 = X^2
576 + 100 = X^2
√676 = X
26 = X
Thus, the distance between the two points is 26 miles.
A community college professor is interested in determining the relationship between the number of posts students make on Schoology and their respective grades. He planned to correlate the results from a sample from all his classes, however, due to time constraints, he decided to sample only from students with high grades. As his statistical consultant, state whether or not you support his plans and why.
Answer:
no
Step-by-step explanation:
How are these three numbers related. 50 1/2, 1/4, 202
Answer: If you divide 202/4=50.5 or 50 1/2
Step-by-step explanation:
Sam puts $500 in the bank and does not put any more money in or take any out for elght years. He receives 6% Interest
yearly, compounded semi-annually. How much money will be in the account after elght years?
O $793.44
$796.92
O $800.52
O $802.36
Answer:
$793.44
Step-by-step explanation:
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
Answer:
56.7°
Step-by-step explanation:
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
We solve this question using the Trigonometric function of Sine
From the question, we are told that:
A rectangle is 5.1 cm wide
and each diagonal is 9.3 cm long.
Since we have a diagonal, this means the shape is transformed to a triangle.
The width of the rectangle = Adjacent side of a triangle = 5.1cm
The diagonal of the rectangle = Hypotenuse = 9.3cm
Hence,
cosθ = Adjacent/Hypotenuse
cosθ = 5.1/9.3
cosθ = 0.5483870968
θ = arccos(0.5483870968)
θ = 56.743568714°
Approximately = 56.7°
The measure of the angle is 56.7°
If the exchange rate of US dollar to Naira is 1:70, what's the value of $1.50 in Naira?
Answer:
$1.50 is 105 Naira
Step-by-step explanation:
If the exchange rate is 1:70, that means that in order to get the amount of Naira equal to some amount of US dollars, you would multiply the number of US dollars by 70. And so we get...
1.5 x 70 = 105 (Naira)
Answer:
105 Naira
Step-by-step explanation:
Please see the attached image.
I hope this helps!
I need help with this question this question is worth 25 points.
Answer:
i hope it help you :)
Step-by-step explanation:
1)x=25 ,m<KOL=m<DOA=80ْ
2)x=13 ,m<UOT=m<VOS=93ْ
3)x=8 , m<KOL=m<NOM=142ْ
4)x=20 ,m<HOG=m<EOF=46ْ
5)x=53 ,m<ROS=m<QOP=10ْ
6)x=14 , m<LOM=m<KOJ=127
60° 2x + 149 degrees
Answer:
x = 23
Step-by-step explanation:
60°=x+14
60+14=84=X
This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 90 customer orders to fill. Each order requires one component part that is purchased from a supplier. However, typically, 3% of the components are identified as defective, and the components can be assumed to be independent.
Required:
a. If the manufacturer stocks 90 components, what is the probability that the 90 orders can be filled without reordering components?
b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?
c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?
Answer:
a) 0.0645 = 6.45% probability that the 90 orders can be filled without reordering components.
b) 0.4062 = 40.62% probability that the 100 orders can be filled without reordering components.
c) 0.9034 = 90.34% probability that the 100 orders can be filled without reordering components
Step-by-step explanation:
For each component, there are only two possible outcomes. Either it is defective, or it is not. The components can be assumed to be independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
3% of the components are identified as defective
This means that [tex]p = 0.03[/tex]
a. If the manufacturer stocks 90 components, what is the probability that the 90 orders can be filled without reordering components?
0 defective in a set of 90, which is [tex]P(X = 0)[/tex] when [tex]n = 90[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{90,0}.(0.03)^{0}.(0.97)^{90} = 0.0645[/tex]
0.0645 = 6.45% probability that the 90 orders can be filled without reordering components.
b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?
At most 102 - 100 = 2 defective in a set of 102, so [tex]P(X \leq 2)[/tex] when [tex]n = 102[/tex]
Then
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{102,0}.(0.03)^{0}.(0.97)^{102} = 0.0447[/tex]
[tex]P(X = 1) = C_{102,0}.(0.03)^{1}.(0.97)^{101} = 0.1411[/tex]
[tex]P(X = 2) = C_{102,2}.(0.03)^{2}.(0.97)^{100} = 0.2204[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0447 + 0.1411 + 0.2204 = 0.4062[/tex]
0.4062 = 40.62% probability that the 100 orders can be filled without reordering components.
c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?
At most 105 - 100 = 5 defective in a set of 105, so [tex]P(X \leq 5)[/tex] when [tex]n = 105[/tex]
Then
[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{105,0}.(0.03)^{0}.(0.97)^{105} = 0.0408[/tex]
[tex]P(X = 1) = C_{105,0}.(0.03)^{1}.(0.97)^{104} = 0.1326[/tex]
[tex]P(X = 2) = C_{105,2}.(0.03)^{2}.(0.97)^{103} = 0.2133[/tex]
[tex]P(X = 3) = C_{105,3}.(0.03)^{3}.(0.97)^{102} = 0.2265[/tex]
[tex]P(X = 4) = C_{105,4}.(0.03)^{4}.(0.97)^{101} = 0.1786[/tex]
[tex]P(X = 5) = C_{105,5}.(0.03)^{5}.(0.97)^{100} = 0.1116[/tex]
[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0408 + 0.1326 + 0.2133 + 0.2265 + 0.1786 + 0.1116 = 0.9034[/tex]
0.9034 = 90.34% probability that the 100 orders can be filled without reordering components
A drum has a diameter of 26 inches and is 15 inches deep. Find the volume of this drum.
Answer: 7964.97 in³
Step-by-step explanation:
A drum is a cylinder. Therefore, we will have to calculate the volume of a cylinder which will be:
Volume = πr²h
where π = 3.142
r = Diameter/ 2 = 26/2 = 13
h = 15
Volume = πr²h
= 3.142 × 13² × 15
= 3.142 × 169 × 15
= 7964.97 in³
calcule:(-2)⁰+(-2)¹+(-2)²+(-2)³
por favor
Answer:
-5
Step-by-step explanation:
jannete has 326 pennies, 64 nickles, and 15 dimes. if she has to exchange her coins for dollars how many dollars will she have ? how many cents will remain?
Answer:
She will have 7 dollars, with 96 cents remaining.
Step-by-step explanation:
326 pennies is $3.26
64 nickels is $3.20
15 dimes is $1.50
Add them all;
$3.26 + $3.20 + $1.50 = $7.96
She will have 7 dollars, with 96 cents remaining
Solve for "T" in the following formula: P= NRT/V
Answer:
T = PV / NR
Step-by-step explanation:
Find 47.5% of 690 (remember this is a non calculator question)
Answer:
327.75
Step-by-step explanation:
Need quickly please help!
=======================================================
Work Shown:
We use the intersecting chords theorem
(AH)*(HG) = (FH)*(HB)
(x-2)*(x+7) = (2x-1)*(4)
x*(x+7) - 2(x+7) = 4(2x-1)
x^2+7x - 2x - 14 = 8x - 4
x^2 + 7x - 2x - 14 - 8x + 4 = 0
x^2 - 3x - 10 = 0
(x - 5)(x + 2) = 0
x-5 = 0 or x+2 = 0
x = 5 or x = -2
If x = -2, then AH = x-2 = -2-2 = -4, but having a negative segment length is not possible. Lengths must be positive. So we ignore x = -2
If x = 5, then we find the following lengths
AH = x-2 = 5-2 = 3HG = x+7 = 5+7 = 12FH = 2x-1 = 2*5-1 = 9Then note how AH*HG = 3*12 = 36 while FH*HB = 9*4 = 36. This confirms that (AH)*(HG) = (FH)*(HB) is a true equation and confirms we have the correct x value.
a school has 300boys.if this is 60% of the total no. of pupils in the school, how many girls are there in the school?
Answer:
240
Step-by-step explanation:
if that is 60 percent that means that if you times 600 by 40 percent that should get you your awnser
Katsuro ran 3 1/6 miles each day for 7 days. How far did he run in all?
Answer:
22 1/6
Step-by-step explanation:
Answer:
22 1/6
Step-by-step explanation:
Katsuro ran 3 1/6 each day for 7 days straight how far did he run in all? ANSWERS:
10 1/6 miles
10 1/2 miles
22 1/6
44 1/3