Step-by-step explanation:
Interest (I)=R9600
Rate(R)=16%
Time (T)=5years
Principal (P)=?
P=100×I÷R×T
P=100×R9600÷16×5
P=R960000÷80
P=R12, 000
Answer:
The amount he took as loan = R12,000
Step-by-step explanation:
Simple Interest
Let loan amount be = P
R = 16%
T = 5years
I = 9600
Find P
[tex]I = \frac{PRT}{100}\\\\9600 = \frac{P \times 16 \times 5}{100}\\\\P = \frac{9600 \times 100}{16 \times 5} = 12,000[/tex]
I need help with this word problem.
Answer:
$3.22 per square feet
Step-by-step explanation:
To solve, I usually set up an equation:
sq ft = 12 1/2 = 1
$ 40.21 x
Then, use cross multiplication.
(12 1/2)x=40.21
Divide both sides by 12 1/2 or 12.5
x = 3.2168
Round to the hundredths place [because we're dealing with money]
$3.22
I hope this helps!
Answer:
3.22 per sq ft
Step-by-step explanation:
Take the total cost and divide by the amount of tiles
40.21 / 12.5
3.2168 per sq ft
Rounding to the nearest cent
3.22 per sq ft
Help help help !!!!
the third choice
Step-by-step explanation:
check the exchange between logarithms and exponential functions srry but cannot write it here with my phone
nit 4 Topic 3 HW Sets Applications e Sunday by 11:59pm Points 100 Submitting an external tool Question How many subsets and proper subsets does the set M = {1,2,3} have? Select the correct answer below:
Answer:
ghthtf
Step-by-step explanation:
tygtgg
Solutes in the bloodstream enter cells through a diffusion process called
osmosis, the diffusion of fluid through a semi-permeable membrane. Let C = C(t)
be the concentration of a certain solute inside a particular cell. The rate at which
the concentration inside the cell is changing is proportional to the difference in the
concentration of the solute in the bloodstream and the concentration within the cell.
Suppose the concentration of a solute in the bloodstream is maintained at a constant
level of L gm/cm?
(a) Write a differential equation involving
dc\dt
Answer:
en la calasa ni esta en la estacion
Consider this linear function:
y = 1/2x + 1
Plot all ordered pairs for the values in the domain.
D: {-8, -4,0, 2, 6)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The attachment shows the ordered pairs (x, f(x)) and their graph.
When randomly selecting adults, let M denote the event of randomly selecting a male and let B denote the event of randomly selecting someone with blue eyes. What does P(M|B) represent? Is P(M|B) the same as P(B|M)?
Answer:
See explanation
Step-by-step explanation:
Given
[tex]M \to[/tex] randomly selecting a male
[tex]B \to[/tex] randomly selecting someone with blue eyes
Solving (a): Interpret P(M|B)
The above implies conditional probability
The interpretation is: the probability of selecting a male provided that a person with blue eyes has been selected
Solving (b): is (a) the same as P(B|M)
No, they are not the same.
The interpretation of P(B|M) is: the probability of selecting a person with blue eyes provided that a male has been selected
Dr. Smith is interested in the relationship between nicotine and hand steadiness. Two groups participated in the experiment. One group smoked 5 cigarettes in an hour, while another group read during the same hour. Participants are then tested on the hand steadiness apparatus (yielding a score with the number of errors made). What is the independent variable
Answer:
Exposure to nicotine is the independent variable
Step-by-step explanation:
An independent variable is a factor that remains unchanged (by other factors in the experiment) throughout the course of an experiment. It can however be manipulated by the researcher. A dependent variable, on the other hand, is the factor being measured that relies on the independent variable. In the case above, exposure to 1 hr of nicotine intake forms the independent variable while the levels of hand steadiness, which will be measured, form the dependent variable.
I need help with this question
Answer:
A=W, B=X, C=Y, D=Z, AB=WX, BC=XY, CD=YZ, AD=WZ
(The second answer down)
Step-by-step explanation:
Cách tính chu vi hình vuông?
Answer:
Xin hãy đánh dấu cho tôi là một người tồi tệ nhất
Để tìm chu vi hình vuông, bạn phải nhân 2 cạnh với 4..
Sử dụng công thức
chu vi = 4 * (một mặt)
Someone pls help me due in 30 min. Given that x and y show inverse variation, complete the table.
Answer:
1st blank=[tex]y_{1}[/tex]
2nd blank=[tex]x_{1}[/tex]
3rd blank= [tex]y_{2}[/tex]
3*27=81
so 1*[tex]y_{1}[/tex]=81
hence [tex]y_{1}[/tex]=81
9* [tex]x_{1}[/tex]= 81
[tex]x_{1}[/tex]=9
27*[tex]y_{2}[/tex]=81
[tex]y_{2}[/tex]=3
Thus solved.
Hope this helps.
Please mark me as brainliest.
The house-numbers on a certain street go from 1 to 88. The function B(n) models the type of the building whose number is n according to the following key:
(GRAPH ATTATCHED)
What number type is more appropriate for the domain of B?
A. Integer
B. Real Number
What's the appropriate domain?
Hello,
Answer A
[tex]dom (B(n)) =\{0,1,2,3\} =\{ z\ in \ \mathbb{Z} \ |\ 0 \leq z \leq 4\}[/tex]
Get brainly if right!! Plsss help
A dozen roses in a gift box cost 21 dollars. Twenty roses in a
gift box cost 32.6 dollars. How much does a gift box cost? How
much does one rose cost?
Answer: [tex]\$1.45[/tex]; [tex]\$3.6[/tex]
Step-by-step explanation:
Given
A dozen roses in a gift box costs $21
Similarly, 20 roses in a gift box costs $32.6
Suppose the price of single rose and gift box is [tex]x[/tex] and [tex]y[/tex]
[tex]\therefore 12x+y=21\quad \ldots(i)\\\Rightarrow 20x+y=32.6\quad \ldots(ii)[/tex]
Solving (i) and (ii) , we get
[tex]x=\$1.45;y=\$3.6[/tex]
Thus, the price of the one rose is [tex]\$1.45[/tex] and the price of gift box is [tex]\$3.6[/tex]
Answer:
1.45 and 3.5
Step-by-step explanation:
In a recent poll of 500 13-year-olds, many indicated to enjoy their relationships with their parents. Suppose that 200 of the 13-year olds were boys and 300 of them were girls. We wish to estimate the difference in proportions of 13-year old boys and girls who say that their parents are very involved in their lives. In the sample, 93 boys and 172 girls said that their parents are very involved in their lives. What is a 96% confidence interval for the difference in proportions (proportion of boys minus proportion of girls)?
(a) Calculate a 95% confidence interval for the difference in proportions (proportion of boys minus proportion of girls)?
(b) Interpret your interval calculated above.
Answer:
CI 96 % = ( - 0.1128 ; 0.0728 )
CI 95% = ( - 0.1087 ; 0.6878 )
The two intervals contain 0 value therefore we can support that there is not statistics difference between the two groups with confidence level of 96 % and 95%
Step-by-step explanation:
Boys sample:
sample size n₁ = 200
x₁ number of boys saying their parents are very involved in their lives
= 93
p₁ = x₁/n₁ = 93/200 = 0.465 then q₁ = 1 - p₁ q₁ = 1 - 0.465 q₁ = 0.535
Girls sample
sample size n₂ = 300
x₂ number of girls saying their parents are very involved in their lives
= 172
p₂ = x₂/n₂ = 172/ 300 = 0.573 then q₂ = 1 -0.573 q₂ = 0.427
CI 96 % α = 4 % α = 0.04 α/2 = 0.02
p₁ - p₂ = 0.465 - 0.573 = - 0.168
CI 96 % = ( p₁ - p₂ ) ± z(c) * SE
z(c) for α = 0.02 z(c) = - 2.05
SE = √ (p₁*q₁)/n₁ + (p₂*q₂)/n₂
SE = √ ( 0.465*0.535)/200 + (0.573*0.427)/300
SE = √ 0.00124 + 0.000815
SE = √ 0.00205
SE = 0.0453
CI 96 % = ( -0.02 ± ( 2.05 * 0.0453 ) )
CI 96 % = ( -0.02 ± ( 0.0928 ))
CI 96 % = ( - 0.1128 ; 0.0728 )
a) CI 95% α = 5 % α = 0.05 α/2 = 0.025
SE = 0.0453
z(c) for 0.025 is from z-table z(c) = 1.96
CI 95% = ( - 0.02 ± 1.96 * 0.0453)
CI 95% = ( - 0.02 ± 0.08878 )
CI 95% = ( - 0.1087 ; 0.6878 )
What is the value of y?
Enter your answer, as an exact value, in the box.
Answer:
y=4√3 units
Step-by-step explanation:
Hi there!
We are given ΔABC, which is a right triangle (m<C=90°), m<A=60°, AB=8, and BC=y
We need to find the value of y (BC)
The side AB is the hypotenuse of the (the side opposite from the right angle).
BC is a leg, which is a side that makes up the right angle.
Now, if we have a right triangle that has one of the acute angles as 60°, the side OPPOSITE from that 60° angle (in this case, BC) is equal to [tex]\frac{a\sqrt{3}}{2}[/tex], where a is the length of the hypotenuse
Since we have the hypotenuse given as 8, the length of BC (y) is [tex]\frac{8\sqrt{3}}{2}[/tex], or 4√3
so y=4√3 units
Hope this helps!
When you buy the latest iPad for $799, they offer you an extended warranty for $90; they will replace the iPad if it breaks in the next 2 years. The probability that it will break is 0.1. Assume there is no chance the ipad can break more than one time in the next two years. Calculate the total expected cost of the ipad if you take the warranty (i.e. include cost of ipad and warranty). Enter this value below in dollars (calculated to nearest cent, i.e. $10.90, etc).
Answer:
889 dollars
Step-by-step explanation:
Carin opened a money market account with a
deposit of $3,000. This account earns 2% simple
interest annually. How many years will it take for
her $3,000 deposit to earn $420 in interest, assum-
ing she does not withdraw any of the money?
Answer:
7
Step-by-step explanation:
For simple interest,
I = prt
where I = interest,
p = principal (amount deposited)
r = annual rate of interest
t = time in years
We have r = 2% = 0.02
p = $3,000
I = $420
We need to find t
I = prt
420 = 3000 * 0.02 * t
420 = 60t
t = 420/60
t = 7
Answer: 7 years
nen,
Problem: Two towns, A and B, located along the coast of the Pacific Ocean are 30
km apart on a north-south line. From a ship, the line of sight of town A is W30°N,
while that of town B is S400W.
1. How far is the ship from town A?
2. How far is the ship from town B?
Answer:
Step-by-step explanation:
From the picture attached,
m∠COB = 90° - m∠BOS
= 90° - 40°
= 50°
tan(30°) = [tex]\frac{AC}{OC}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{AC}{OC}[/tex]
AC = [tex]\frac{OC}{\sqrt{3}}[/tex] ------(1)
Similarly, tan(50°) = [tex]\frac{BC}{OC}[/tex]
BC = OC[tan(50°)] -------(2)
Now AC + BC = 30 cm
By substituting the values of AC and BC from equation (1) and (2),
[tex]\frac{OC}{\sqrt{3}}+OC(\text{tan}50)=30[/tex]
(1.769)OC = 30
OC = 16.96
1). cos(30°) = [tex]\frac{OC}{AO}[/tex]
[tex]\frac{\sqrt{3}}{2}= \frac{16.96}{OA}[/tex]
[tex]OA=19.58[/tex] cm
Therefore, distance between the ship and town A is 19.58 cm.
2). cos(50°) = [tex]\frac{OC}{OB}[/tex]
0.6428 = [tex]\frac{16.96}{OB}[/tex]
OB = 26.38 cm
Therefore, distance between the ship and town B is 26.38 cm.
2+8+5+9+90=
3+45+111=
Answer:
1) 114
2) 159
Step-by-step explanation:
2+8+5+9+90 = 114
3+45+111 = 159
Hope this helps.
Answer:
1)144
2)159
..........
is there a formula for this?
help asap!!
Answer:
yes
Step-by-step explanation:
the answer is c well thats what my teacher said
Answer:
B
Step-by-step explanation:
using sine rule
[tex] \frac{y}{sin \: 45} = \frac{5}{sin \: 45} \\ y = 5[/tex]
using sin rule
[tex] \frac{x}{sin \: 90} = \frac{5}{sin \: 45} \\ \\ 5sin90 = xsin45 \\ \\ x = \frac{5 \: sin \: 90}{sin \: 45} \\ x = \frac{5}{0.7071} \\ x = 7.071[/tex]
x=5√2
The asymptote of the function f(x) = 3x + 1 – 2 is . Its y-intercept is
Answer:
-1
Step-by-step explanation:
1-2=-1
y=mx+b
b= y intercept
Answer:
-1
Step-by-step explanation:
Find the sum of the complex numbers (3+3i)+(8+7i)
Answer:
11 + 10i
Step-by-step explanation:
Just treat i like any other variable, and combine like terms. Hope that helps!
Question 3
Solve In(x + 1) = 1.
A) X= 2
B) x = e + 1
C)x= e
D)x= e-1
Answer:
D) x = e - 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra II
Natural Logarithms ln and Euler's number eSolving logarithmic equationsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle ln(x + 1) = 1[/tex]
Step 2: Solve for x
[Equality Property] e both sides: [tex]\displaystyle e^{ln(x + 1)} = e^1[/tex]Simplify: [tex]\displaystyle x + 1 = e^1[/tex][Equality Property] Isolate x: [tex]\displaystyle x = e - 1[/tex](x-1)/(x-1)=1, what is the answer and explenation
7. What is given in the problem?
A. Radius of 80m C. Radius of 80 ft.
B. Diameter of 40 ft. D. Diameter of 40 m paki sagot
Answer:
radius of 80cm is the answer
Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed.
X +3 SO
X-220
y
Answer:
Step-by-step explanation:
X+3 SO = Cymath can't further simplify this.
Please try another operation.
X-220= Cymath can't further simplify this.
Please try another operation.
y= AsymptotesFind the vertical, horizontal and slant asymptotes.
"Asymptotes y=x^2/(x+8)"
"Asymptotes y=1/x"
DifferentiateFind the derivative.
"Differentiate cos(x)^4"
"Differentiate x^5/y for x"
DomainFind the domain of a function.
"Domain y=2/x"
"Domain y=sqrt(x-3)"
Solve for X.
-6x + 14 < -28
AND 3x + 28 < 25
Answer:
1. -6x + 14 < -28
6x<42
x<7
2. 3x + 28 < 25
3x < -3
x<-1
Hope This Helps!!!
ASK YOUR TEACHER A 12-sided die can be made from a geometric solid called dodecahedron. Assume that a fair dodecahedron is rolled. (a) What is the probability of getting a number less than 10 on a single roll
9514 1404 393
Answer:
3/4
Step-by-step explanation:
Assuming the faces are numbered 1 to 12, there are 9 faces with values less than 10. Since the outcomes are equally probable and mutually exclusive, the probability of any of the 9 is the sum of their individual probabilities:
P(n < 10) = 9×1/12 = 9/12 = 3/4
5x5+90
I honestly have no idea wth this answer is . Please help meeee
Find the volume (in cubic yards) of a cylinder with radius 1.2 yards and height 2.9 yards. (Round your answer to one decimal place.)
Answer:
11.8 yd³
Step-by-step explanation:
A screw manufacturer makes specialized tiny screws that are 15mm long. The manufacturing process does not make every screw exactly 15mm long. The lengths of the screws are normally distributed with mean 15mm and standard deviation 0.04mm. To test for quality control, 36 screws are to be measured. What is the probability that a sample mean is less than 14.99mm?
Answer:
The probability that a sample mean is less than 14.99mm=0.066808
Step-by-step explanation:
We are given that
Mean,[tex]\mu=15 mm[/tex]
Standard deviation,[tex]\sigma=0.04 mm[/tex]
n=36
We have to find the probability that a sample mean is less than 14.99mm.
We know that
[tex]P(\bar{x}<a)=P(Z<\frac{\bar{x}-a}{\frac{\sigma}{\sqrt{n}}})[/tex]
Using the formula
[tex]P(\bar{x}<14.99)=P(Z<\frac{14.99-15}{\frac{0.04}{\sqrt{36}}})[/tex]
[tex]P(\bar{x}<14.99)=P(Z<-1.5)[/tex]
=[tex]1-P(Z\geq -1.5)[/tex]
[tex]=1-0.93319[/tex]
=0.066808
Hence, the probability that a sample mean is less than 14.99mm=0.066808