Answer:
It will take 26.4 years for investment to reach $2000
Step-by-step explanation:
2000=100(1+.12)^x
20=1.12^x
㏒_{20} 1.12=x
log 1.12/ log 20=x
x= 26.434
The number of years that should be taken for reaching $2,000 is 26.40 years.
Given that,
The deposit made at the bank is $100.The interest rate per year is 12%.And, the reaching amount is $2,000.Based on the above information, the calculation is as follows:
[tex]2000=100(1+.12)^x\\\\20 = 1.12^x[/tex]
Now apply log to both sides
[tex]\frac{log1.12}{log20} = x[/tex]
x = 26.4 years
Therefore we can conclude that the number of years that should be taken for reaching $2,000 is 26.40 years.
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find the equation of the line that has the given slope and passes through the given point. write the equation in the slope intercept form. m=2 (5,4)
Answer:
y = 2x - 6
Step-by-step explanation:
Use the slope-intercept form of the equation of a line.
y = mx + b
y = 2x + b
4 = 2(5) + b
4 = 10 + b
b = -6
y = 2x - 6
need help with promblem
Una partícula se mueve sobre el eje x de acuerdo con la ecuación del movimiento
s=f(t) donde s es la distancia dirigida al origen en pies a los t segundos.
a) La velocidad v(t) y la aceleración a(t) en el instante t.
b) El instante t en el que la velocidad es cero.
s= 6t-t²
s=t²-6t
s= t²-9t+24
Answer:
a)
s= 6t-t² --> v = 6 -2t --> a = -2
s=t²-6t --> v = 2t-6 --> a = 2
s= t²-9t+24 --> v = 2t -9 --> a = 2
b)
v = 6 -2t = 0 --> t = 3
v = 2t-6 = 0 --> t = 3
v = 2t -9 = 0 --> t = 9/2
Step-by-step explanation:
si s(t) es la distancia, la velocidad es la primera derivada v(t) = s'(t)
y la acceleracion es la segunda derivada : a(t)= v'(t) = s''(t)
s= 6t-t² --> v = 6 -2t --> a = -2
s=t²-6t --> v = 2t-6 --> a = 2
s= t²-9t+24 --> v = 2t -9 --> a = 2
Eight more than the quotient of thirty and a number is fourteen.
Answer:
The number is 5
Step-by-step explanation:
First, we turn words into an equation(using x as the unknown number). Then, we solve for x.
[tex]\frac{30}{x} +8=14\\\frac{30}{x}=6\\30=6x\\5=x[/tex]
The width of a rectangle
is 11 feet longer than the
length. The perimeter of the
rectangle is 70 feet. Find
the length and the width
Answer:
Hello! The answer to this problem is Length= 27 and Width= 8
Step-by-step explanation:
2(11+2x) +2x = 70
6x + 22 = 70
6x = 48
x = 8
Kenya went to the convenience store to buy some snacks. She spent a total of
$12.00 on soda and candy. The soda cost $3.00 and each candy bar cost $1.50. If
Kenya bought one soda, how many candy bars did Kenya buy?
Answer:
6
Step-by-step explanation:
12
-3
----
9 divided by 1.50= 6
Kenya buy 6 candy bars.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Give:
Kenya spent a total of $12.00 on soda and candy.
The soda cost $3.00 and each candy bar cost $1.50.
Now, Money left after spending on Candy
= 12- 3
= $9
Now, number of candy bars Kenya buy is
= 9/ 1.50
= $6
Hence, Kenya buy 6 candy bars.
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g If a snowball melts so that its surface area decreases at a rate of 8 cm 2/min, find the rate at which the diameter decreases when the diameter is 9 cm.
Step-by-step explanation:
The snowball is spherical in nature
The total surface area of the ball = 4πr²
Or 4π(d/2)²
S = 4πd²/4
S = πd²
d is the diameter of the ball
The rate at which the area is decreasing is expressed as;
dS/dt = dS/dd • dd/dt
dd/dt is the rate at which the diameter is decreasing
dS/dd = 2πd
dS/dt = 2πd • dd/dt
dS/dt = 2π(9) • dd/dt
8 = 18π•dd/dt
dd/dt = 8/18π
dd/dt = 4/9(3.14)
dd/dt = 4/28.26
dd/dt = 0.1415cm/min
Hence the diameter is decreasing at the rate of 0.1415cm/min
Find the missing angles.
Answer:
150
Step-by-step explanation:
Suppose you have a 6-face unfair dice with numbers 1,2,3,4,5,6 on each of its faces. If the probability distribution of throwing a number up is as follows: 1 with probability 1/12 2 with probability 1/12 3 with probability 1/12 4 with probability 1/12 5 with probability 1/12 6 with probability 7/12 What are the mathematical expectation and variance of the dice based on the above probability distribution
Answer:
Expectation is equal to 4.75
Variance is equal to 3.02
Step-by-step explanation:
Consider the attached image.
Let [tex]x_i[/tex] denotes each of the outcome.
Expectation [tex]=E(X)[/tex] = ∑[tex]x_if(x_i)[/tex]
[tex]=1(\frac{1}{12}) +2(\frac{1}{12}) +3(\frac{1}{12}) +4(\frac{1}{12}) +5(\frac{1}{12}) +6(\frac{7}{12})[/tex]
[tex]=\frac{1}{12}+\frac{2}{12}+\frac{3}{12}+\frac{4}{12}+\frac{5}{12}+\frac{42}{12}\\\\=\frac{57}{12}\\\\=4.75[/tex]
[tex]E(X^2)=[/tex] ∑ [tex]x_i^2f(x_i)[/tex]
[tex]=1^2(\frac{1}{12}) +2^2(\frac{1}{12}) +3^2(\frac{1}{12}) +4^2(\frac{1}{12}) +5^2(\frac{1}{12}) +6^2(\frac{7}{12})[/tex]
[tex]=(\frac{1}{12}) +4(\frac{1}{12}) +9(\frac{1}{12}) +16(\frac{1}{12}) +25(\frac{1}{12}) +36(\frac{7}{12})\\\\=\frac{307}{12}[/tex]
Variance [tex]=E(X^2)-[E(X)]^2[/tex]
[tex]=(\frac{307}{12})-(\frac{57}{12})^2\\\\ =\frac{307}{12}-\frac{3249}{144}\\\\ =\frac{3684-3249}{144}\\\\ =\frac{435}{144}\\\\ =3.02[/tex]
Kai needs a car to get to work and school. He's decided on a used car with a cost of $12,000. According to his budget he can afford to pay up to $300 per month and car payments. Which loan offer is best for Kai?
Answer:
The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget
Answer: c, offer 3
Step-by-step explanation: just did the quiz
idk the answer at all
Answer:
y-1=3/2(x+3)
Step-by-step explanation:
Calculate the slope m of the given line using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line
m=2+4/2+2=6/4=3/2
Parallel lines have equal slopes.
The equation of a line in point-slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3/2 and (a, b) = (- 3, 1), thus
y - 1 = 3/2 (x - (- 3)), that is
y - 1 = 3/2 (x + 3) ← equation in point- slope form
Suppose that a regression line for some data transformed with logarithms predicts that when x equals 8, will equal 1.603. What does the regression line predict y will equal when x equals 8? Round your answer to the nearest whole number. A. 2 B. 40 C. 13 D. 28
Answer:40
Step-by-step explanation:
Answer:
B. 40
Step-by-step explanation:
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The science teacher gives daily homework. For a random sample of days throughout the year, the median number of problems is 5 and the IQR is 2. The Spanish teacher also gives daily homework. For a random sample of days throughout the year, the median number of problems is 10 and the IQR is 1. If you estimate the median number of science homework problems to be 5 and the median number of Spanish problems to be 10, which is more likely to be accurate? Explain your reasoning.
Answer:
SCIENCE SEEMS MORE ACCURATE
Step-by-step explanation:
The interquartile range (IQR) = difference between the upper and lower quartile (Q3 - Q1)
The median can be estimated as :
(Q3 - IQR/2) or (Q1 + IQR/2).
FOR SCIENCE:
MEDIAN NUMBER = 5
IQR = 2
IQR = Q3 - Q1
Q3 = median + IQR/ 2 = 5 + 2/2 = 6
Q1 = median - IQR/2 = 5 - 2/2 = 4
FOR SPANISH:
MEDIAN = 10
IQR = 1
IQR = Q3 - Q1
Q3 = median + IQR/ 2 = 10 + 1/2 = 10.5
Q1 = median - IQR/2 = 10 - 1/2 = 9.5
Science has a lower median score and an interquartile range which is reasonable wider than Spanish with a larger median value (but a very narrow interquartile range).
f(x) = 2x^3 g(x) = x-3
find f(2)
find g(4)
find (f+g) (x)
[tex]f(x) = 2 {x}^{3} [/tex]
[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]
_________________________________
[tex]g(x) = x - 3[/tex]
[tex]g(4) = 4 - 3 = 1[/tex]
_________________________________
[tex](f + g)(x) = f(x) + g(x) [/tex]
[tex](f + g)(x) = 2 {x}^{3} + x - 3 [/tex]
_________________________________
Done...♥️♥️♥️♥️♥️
Stacy buys a bagel assortment that has 6 oat bagels for every 2 blueberry bagels. Naomi buys a bagel assortment that has 9 oat bagels for every 5 blueberry bagels. Each girl bought 10 blueberry bagels.
Stacy’s Bagels
Oat 6 12 18 24 30 36
Blueberry 2 4 6 8 10 12
Naomi’s Bagels
Oat 9 18 27 36 45 54
Blueberry 5 10 15 20 25 30
Find the number of oat bagels that each girl bought.
Stacy bought
oat bagels, and Naomi bought
oat bagels.
Answer:
stacy 30 and naomi 18
Step-by-step explanation:
What the area of 149m and 76m
Answer:
11324
Step-by-step explanation:
Area= B x H so 149 x 76= 11324
Answer:
The perimeter is 550 meters.
Step-by-step explanation:
Amy is having her birthday party at a roller skating rink. The rink charges a fee of $50 plus $8 per person. If Amy wants to spend at the most $170 for the party at the rink, how many people can she invite to her party? Write a let x statement, an inequality and solve.
Answer:
(170 - 50)/8 = X
Step-by-step explanation:
X = amount of people
(170 - 50)/8 = X
Inequality
X = Number of People
50+(8*X) [tex]\leq[/tex] 170
The x statement is x ≤ 15. An inference is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.
What is meant by inequality?Inequality the state of not being equal, particularly in status, rights, and opportunities1 is central to social justice theories. However, it is prone to misunderstanding in public debate because it means different things to different people. Some distinctions, however, are universal. A solution to an inequality in x is a number that, when substituted for x, yields a true statement. So, for example, 4 is a solution, whereas 8 is not. An inequality's solution set is the set of all solutions.The expression 5x 4 > 2x + 3 resembles an equation, but the equals sign has been replaced by an arrowhead. It's an example of inequity.Therefore,
(170 - 50)/8 = X
X = Number of People Over 50 (170 - 50)/8 = X
Inequality (8 × X) ≤ 170
An inequality is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.
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At a local grocery store, bananas were on sale. Green bananas were priced at $14.00 and yellow bananas were priced at $12.00. Sabrina bought 9 bananas and spent a total of $114.00. How many yellow bananas did she purchase?
Answer:
Sabrina bought 6 yellow bananas and 3 green bananas
Step-by-step explanation:
Let
Green bananas = x
Yellow bananas = y
Green bananas = $14.00
Yellow bananas = $12.00
Total cost = $114.00
x + y = 9 (1)
14x + 12y = 114 (2)
From (1)
x = 9 - y
Substitute x = 9 - y into (2)
14(9 - y) + 12y = 114
126 - 14y + 12y = 114
- 14y + 12y = 114 - 126
-2y = -12
Divide both sides by -2
y = -12 / -2
= 6
y = 6
Substitute y = 6 into (1)
x + y = 9
x + 6 = 9
x = 9 - 6
= 3
x = 3
Sabrina bought 6 yellow bananas and 3 green bananas
Four times the sum of f and g is identical to six times g
Answer:
4(f+g)=6g
Step-by-step explanation:
4(f+g)=6g
Help please thanks :)
Answer:
the answer is part 3 : exactly 30 .....
BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
many cups of sliced apples are needed to make 4 apple pies?
Answer:
24 cups of sliced apples
Step-by-step explanation:
6 multiplied by 4=24
hope this helps
Which of the following is a true statement 68/5 - 22/5 = 9 1/5
Please somebody awnser
Answer:
The answer is D
Step-by-step explanation:
I took the test and got it right <3
Answer: The first question in the selection is correct!
Step-by-step explanation:
If 10% of x is 20, what is 23% of x? A. 33 B. 46 C. 200 D. 230
Answer:
B. 46
Step-by-step explanation:
20*10=200
200*0.23=46
The critical path for a project was found to be 37 days. The variances total 27. What is probability of completing in 43 days? Below is information that might be useful to answer the question. Answer to 2 decimal points
Answer:
0.1241.
Step-by-step explanation:
So, from the question we are given the following parameters or information or data which are going to help us in solving this particular question/problem. They are; [1]. The critical path for a project = 37 days, the variances total or variance of critical path or sum of variance on critical path]². = 27, the desired completion time/day = 43 days.
So, we will be making use of the formula given below;
The number of standard deviation = desired completion time/day - critical time or sum of critical path times ÷√[variance of critical path or sum of variance on critical path]².
The number of standard deviation = 43 - 37 ÷ √27 = 1.1547.
Thus, the probability of completing in 43 days = P(Z > 1.1547) = 0.1241.
Please help!!!!! Assume the blue lines are parallel. Based on the diagram, select all angles that are congruent to angle 3.
Answer:
Angle 7
Step-by-step explanation:
It is on the same side down from 3 so it would be congruent because they are lined up.
Choose another name for plane s look at the picture for the full answer thank you for helping!
Answer:
c: plane ptm
Step-by-step explanation:
HELP ASAP!!!!!!!!!!!!!!
Answer: is it a function-yes
why: none of the y values are the same
Step-by-step explanation:
Question 3 of 5
In which pair do both decimals represent rational numbers?
O A. 0.752 and 0.232323...
OB. 8.3182706837521... and 0.752
O C. 4.32891789376287184... and 0.2323
O D. 8.3182706837521... and 0.232323...
Answer:
A. 0.752 and 0.232323...
Step-by-step explanation:
A rational number is a number that can be expressed as a ratio. That is, it can be written as a quotient of two integers. A rational number can have a terminating decimal. E.g. 0.5, which can be expressed as ½ or 1:2. This is a terminating decimal. Also, a rational number could be a number that has repeating decimal that keeps repeating forever. E.g. 0.333... which can be expressed as ⅓, or 1:3.
An irrational number is just the opposite of a rational number. Thus, am irrational number cannot be expressed as ratio, and also has a decimal that goes on forever without repeating. For example, π = 22/7 = 3.14159... it has no definite ratio.
From these explanation we can easily pick out which pair that has both decimals representing rational numbers.
Thus, the answer is A. 0.752 and 0.232323...
0.752 is a terminating decimal, therefore it is a rational number.
0.232323... is a non-terminating decimal, however, its decimal is a repeating decimal. Therefore, it is a rational number.
Answer:
The answer is A 0.725 and 0.232323...
Step-by-step explanation:
translate the sentence into an equation
The sum of 6 times a number and 2 is equal to 3
Answer:
6x + 2 = 3
Step-by-step explanation:
x would represent the unknown number
The sum refers to addition
6 times a number would be 6x (you can use any variable, but for this example I'm using x)
When you put it all together, it is 6x + 2 = 3
The required equation is 6x + 2 = 3.
It is required to find the equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers
Given:
The sum of 6 times a number and 2 equals 3.
According to given question we have,
Let the number be x.
6 times a number would be
6x
The sum of 6 times a number and 2 equals 3.
6x + 2 = 3.
Therefore, the required equation is 6x + 2 = 3.
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Given (-1, -8) & m=2
write the corresponding equation in SLOPE-INTERCEPT FORM (No caps, no spaces)
Answer:
y=2x+15
Step-by-step explanation:
just count from (-1,8) to get y intercept