Answers
Answer:
12
Step-by-step explanation:
Related Questions
Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this account. Laura makes no additional deposits or withdrawals. Which amount is the closest to the account balance at the end of 4 years? $5,852. 00 $5,860. 53 $5,940. 00 $5,954. 31.
Answers
The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
For the considered case, we're given that:
Initial amount Laura deposited = $5,500 = PType of interest: Compound interestUnit of time: AnnuallyRate of interest = 1.6% annually = RTotal unit of time for which amount is to be calculated: 4 years = T
The final amount at the end of 4 years in the considered account of Laura is evaluated as:
[tex]A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)[/tex]
Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
Learn more about compound interest here:
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Given ether equation y=5x+3 what is the slope of a line that is parallel
Answers
The table shows values for functions f(x) and g(x). Just answer this simple simple question for a brain list and extra points.
Answers
Answer:
x = 1 and
x = 3
Step-by-step explanation:
The solution is the x for each row where the f(x) and g(x) are the same. When x is 1, f(x) and g(x) are both 0.
When x is 3, f(x) and g(x) are both 6.
Choose the correct graph of the function y=-2(2^x)
Answers
Answer:
fourth graph in second pic
Step-by-step explanation:
first lets substitute points to see whether the graph increases or decreases
sooo
y = -2(2^0)
y = -2
(0, -2)
y = -2(2^1)
y = -4
(1, -4)
y = -2(2^2)
y = -2(4)
y = -8
(2, -8)
with these points we can tell that the graph is decreasing, since there is two graphs decreasing, we can use the points to see if the parabola lies on the points (i think its called parabola)
its the last graph. fourth graph on page 2
HELP ASAP I GIVE U BIG BRAIN AND 100 points!!Question 7
Solve the system of equations by elimination. Express the solution as an ordered pair.
3x−5y=11
x−4y=−8
Answers
(12, 5)
equations:
[tex]\sf 3x-5y=11[/tex] ---- equation 1[tex]\sf x-4y=-8[/tex] ---- equation 2To solve with elimination, either the x or y coefficient should be similar.
so we will multiply 3 with the second equation.Then,
[tex]\sf 3x-5y=11[/tex]
[tex]\sf 3x-12y=-24[/tex]
============== [ subtract equation 2 from equation 1 ]
[tex]\sf 7y = 35[/tex]
[tex]\sf y = 5[/tex]
For x,
[tex]\sf 3x-5(5)=11[/tex]
[tex]\sf 3x-25=11[/tex]
[tex]\sf 3x=11+25[/tex]
[tex]\sf x=\dfrac{36}{3}[/tex]
[tex]\sf x=12[/tex]
In ordered pair: (x,y) → (12, 5)
Pls answer this don’t need a explanation just a answer should be fine <33
Answers
Answer:
slope: 5/1x (or just 5x)
y-int: -3
Step-by-step explanation:
The y-intercept is (0,-3)
you can find the y-intercept where x = 0The slope of the line is 4
the slope is found by the equation below and any two points on the line, such as (0,-3) and (1,2)[tex]\frac{y2-y1}{x2-x1} =\frac{2--3}{1-0} =\frac{5}{1} =5[/tex]
Hope it helps!
Hey could anyone help with this question?
"A container is made up of a hemisphere on top of a cylinder, both with the radius 26cm. the total volume of the container is 230,000 cm find the height of the cylinder"
Thanks so much!
Answers
Answer:
Height = 108.35 cm
Step-by-step explanation:
Given :-
Radius = 26 cm
Total Volume = 230,000 cm³
To Find :-
Height
Formula Required :-
Volume (cylinder) = π x (radius)² x height
=> height = volume / π x (radius)²
Solving :-
h = 230,000 / (3.14 x 676)
h = 230,000 / 2122.64
Solution :-
Height = 108.35 cm
help pleas, i’m fr lost
Answers
Answer:
x = 6°
Step-by-step explanation:
We know that all the interior angles of a triangle sum up to 180°.
(7x+3)°+(80°)+(55°) = 180°
(7x+3)°+(135°) = 180°
(7x+3)°= 45°
7x = 42°
x = 6°
Solve for f
5h(-m+f)=6
Step by step explanation please
Answers
Answer:
f =[tex]\frac{6}{5h}[/tex]+m
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
5h(−m+f)=6
Step 1: Add 5hm to both sides.
5fh−5hm+5hm=6+5hm
5fh=5hm+6
Step 2: Divide both sides by 5h.
5fh/5h=5hm+6/5h
f=5hm+6/5h
if 3-3\4 lb of candy cost $20.25 how much would 1 lb of candy be?
Answers
Answer: Si 3-3 \ 4 lb de dulces cuestan $ 20.25, ¿cuánto sería 1 lb de dulces
Step-by-step explanation:
One hundred people buy gum balls from the gum ball machine. 45 of them get a red gum ball, 40 get a blue gum ball, and 15 get a yellow gum ball.
A. Develop a probability model to predict the color of the next gum ball purchased. Compare the probability of getting a red gum ball to the probability of getting a yellow gum ball.
B. Of the next 10 people to buy gum balls, 7 get yellow, 1 gets red and 2 get blue. Explain a possible reason for this outcome.
Answers
A) The experimental probabilities are:
R = 0.45, B = 0.4, and Y = 0.15
From this, we can expect to get a red ball on the next draw.
B) This can happen because the experimental probabilities are bad estimations, or because the balls on the machine are not replaced.
How to get the experimental probability?
A) The probability of getting each color will be given by the quotient of the number of balls of that color and the total number of balls.
For example, we know that 100 people buy gumballs, and 45 of them got red ones, so the experimental probability of getting a red gumball is:
R = 45/100 = 0.45
40 got a blue ball, so the probability of getting a blue ball is:
B = 40/100 = 0.4
15 got a yellow gumball, so the probability here is:
Y = 15/100 = 0.15
As you can see, the experimental probability of getting a red gumball is 3 times the probability of getting a yellow one. based on that, we can expect that the next gumball out from that machine will be red.
B) So now 10 more people go to the machine, and they get:
7 yellow, 1 red, and 2 blue gumballs.
This clearly does not follow the experimental probability we got above, why this may happen?
There are two main reasons.
First, to get a valuable experimental probability an experiment must be performed a lot of times, 100 is a ratter a small number. So the experimental probability that we got on point A may be a really bad estimation.
On another hand, there is a possibility that the gumballs in the machine are not being replaced. So initially, there is a fixed number of red, yellow, and blue balls.
This would mean that if we remove one red ball on the first try. Then for the next try, the probability of getting a red ball will be smaller (because now the machine has fewer red balls).
Then, because out of the 100 first balls most were red or blue, we can assume that most of the remaining balls on the machine are now yellow, and then the probability of getting a yellow ball is increased.
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
One tenth of the markers in mr barrets Classroom are red. What fraction of the markers is red?
A.1/10
B.8/10
C.9/10
D.10/1
Answers
Answer:
A.1/10
you provided the answer... you said one tenth which is 1/10
Step-by-step explanation:
Answer:
A 1/10
Step-by-step explanation:
your welcome
can someone pls help i don't think im gonna pass this at all
Farmer Bob has a small square garden that is x feet by x feet. What is the area of his garden?
He decides to add 2 feet to one side of the garden and 7 feet to the other side.
What are the lengths of the sides of the new garden?
What is the area of the new garden?
Answers
Answer:
The area of the original garden is x^2 square feet.
The lengths of the sides of the new garden are x + 2 feet and x + 7 feet.
The area of the new garden, in square feet, is
[tex](x + 2)(x + 7)[/tex]
[tex] {x}^{2} + 9x + 14[/tex]
1) the area of his garden is, x² feet²
2) the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
And, the area of the new garden is,
Area = x² + 9x + 14
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Farmer Bob has a small square garden that is x feet by x feet.
Now,
We know that;
Area of square = Side²
Here, Side = x feet
Hence, the area of his garden is,
Area = x × x
Area = x² feet²
Now, When He decides to add 2 feet to one side of the garden and 7 feet to the other side.
Then, the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
Hence, the area of the new garden is,
Area = (x + 2) (x + 7)
Area = x² + 2x + 7x + 14
Area = x² + 9x + 14
Thus, 1) the area of his garden is, x² feet²
2) the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
And, the area of the new garden is,
Area = x² + 9x + 14
Learn more about the multiplication visit:
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in a lottery game a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25. Find the probability that number drawn is a multiple of 3 or a multiple of 4
Answers
Answer:
Multiple of 4 = {4,8,12,16,20,24}
Step-by-step explanation:
The smaller triangle is dilated to create the larger triangle. The center of dilation is plotted, but not labeled. Describe this dilation. Be sure to include all of the information someone would need to perform the dilation.The smaller triangle is dilated to create the larger triangle. The center of dilation is plotted, but not labeled. Describe this dilation. Be sure to include all of the information someone would need to perform the dilation.
Answers
To dilate of the small triangle to get the large triangle the center of dilation is required
The description of the dilation is as follows;
Location of the center of dilation;
The coordinate of the center of dilation is given as follows;
[tex]\left( x_0 = \dfrac{k \cdot x_1 - x_2}{k - 1}, \ y_0 = \dfrac{k \cdot y_1 - y_2}{k - 1} \right)[/tex]
Where;
k = The scale factor of dilation
(x₁, y₁) = A coordinate point on the preimage
(x₂, y₂) = A coordinate point on the image
From the given drawing, we have;
Two vertices on the preimage are; (2, 0), and (5, 1)
Two corresponding vertices on the image are; (0, 0), and (9, 3)
Using the formula for length, l, we have;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
[tex]l_{small} = \sqrt{\left (1 -0 \right )^{2}+\left (5-2 \right )^{2}} = \sqrt{10}[/tex]
[tex]l_{large} = \sqrt{\left (9 -0 \right )^{2}+\left (3-0 \right )^{2}} = \sqrt{90} = 3 \cdot \sqrt{10}[/tex]
[tex]The \ scale \ factor, \ k = \dfrac{l_{large}}{l_{small}} = \dfrac{3 \cdot \sqrt{10} }{\sqrt{10} } = 3[/tex][tex]\left( x_0 = \dfrac{3 \times 2 -0}{3 - 1}, \ y_0 = \dfrac{3 \times 0 - 0}{3 - 1} \right)[/tex]
[tex]\left( x_0 = 3, \ y_0 = 0\right)[/tex]
The center of dilation is the point (3, 0)The steps to create the larger triangle from the center of dilation are as follows;
From the center of dilation, draw lines passing through the vertices of the small triangleWith the ruler mark points on the radial lines that are three times the distances from the vertices of the small triangle from the center of dilationJoin the marked points to create the larger triangleAlternatively larger triangle can also be created using the vertices as follows;
The coordinates of the third vertex of the small triangle are; (4, -2)
To obtain the coordinates of the large triangle, the coordinates of
the small triangle are multiplied by the scale factor, followed by adding the
coordinates of the center of dilation, we have that the coordinates of the
image are;
[tex](k \times x_{ai} + x_0, \ k \times y_{ai} + y_0)[/tex]
Where;
[tex](x_{ai}, \ y_{ai})[/tex] = The difference between the coordinate values of the vertices of
the small triangle and the center of dilation, we have;
(2 - 3, 0 - 0) = (-1, 0)
(5 - 3, 1 - 0) = (2, 1)
(4 - 3, -2 - 0) = (1, -2)
We have [tex](k \times x_{ai} + x_0, \ k \times y_{ai} + y_0)[/tex] are;
(3 ×(-1) + 3, 3× 0 + 3) = (-3 + 3, 0) = (0, 0)
(3 × 2 + 3, 3 × 1 + 0) = (6 + 3, 3) = (9, 3)
(3 × 1, 3 × (-2) + 0) = (3 + 3, -6) = (6, -6)
The vertices of the larger triangle are found as (0, 0), (9, 3), (6, -6)
By drawing lines joining derived vertices the larger triangle can be created
Learn more about scale drawing here:
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find the cube root of 29791/1331
Answers
What is the length of BC to the nearest tenth?
Answers
I think the answer is 59.6
The length of BC to the nearest tenth will be 20.7 units
What is Cosine function?The cosine of an angle is a trigonometric function which is equal to the ratio of the lengths of the side adjacent to the angle and the hypotenuse of a right-angled triangle is called the cosine function which varies as the angle variesIt is generally denoted by cos x, where x is the angle between the base and hypotenuse.How to solve this problem?The steps are as follow:
From the given figure letAC=B=15
AB=C=13
BC=A=?
The formula to find BC is as follow:Cos95° = (b^2+c^2-a^2)/2bc
Cos95° = (15^2+13^2-a^2)/(2*15*13)
2*13*15*cos 95 =15^2+13^2-a^2
-34=225+169-a^2
A^2=394+34
A^2=428
A = 20.68 = 20.7 units
So the length of BC to the nearest tenth will be 20.7 units
Learn more about Cosine function here:
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put these in order from least to greatest 0.5, -3/2, -1 1/3, - 2.25
Please help
Answers
Answer:
-11/3, -2.25, -3/2, 0.5
Step-by-step explanation:
please help me with this question!
Answers
Pls help I will give BRAINLIEST シ♡︎
Answers
Answer:
3,1
Step-by-step explanation:
Answer:
(3,1)
Step-by-step explanation:
Combine like terms 20(−1.5r+0.75)
Answers
Find the value of x. Write your anser in simplest form
Answers
Answer:Pythagorean therome
Step-by-step explanation:a^2+b^2=c^2
A car dealership sold 120 cars in April. The dealership wants to increase the number of cars sold by 15% in May. How many cars will the dealership need to sell to reach their goal?
Answers
Answer:
See below
Step-by-step explanation:
15% of 120 is 18
120 plus 18 is 138
=138
please help me out, need help asap:) thank you
Answers
Answer:
See below.
Step-by-step explanation:
Solving :-
#1
x² - 2x - 15 = 0x = 2 ± √4 - 4(1)(-15) / 2x = 2 ± √64 / 2x = 2 ± 8 / 2x = 1 ± 4x = 5, -3#2
8x² + 2x - 15 = 0x = -2 ± √4 - 4(8)(-15) / 16x = -2 ± √484 / 16x = -2 ± 22 / 16x = -1 ± 11 / 8x = 5/4, -3/2They both have the numerator in both solutions to be 5 and -3 respectively. I believe this is because both equations have the constant term, c, to be -15 and 5 and -3 are factors of -15.
A group of friends were working on a student film that had a budget of 1200. They spent al their budget on costums and equipment. They used 62% of their budget on equipment. How much money did they spend on costumes?
Answers
Answer:
744
Step-by-step explanation:
solved on calcultor
Budget of a film = 1200
Money they spend on equipment :-
= 62% of total expense
= 62% of 1200
[tex]= \frac{62}{100} \times 1200[/tex]
[tex] = \frac{62 \times 1200}{100} [/tex]
[tex] = \frac{74400}{100} [/tex]
[tex]\color{purple}= 744[/tex]
Which means , the group of friends spent 744 on equipment .
Then , money they spent on costume :-
= 100 - 62 % of 1200
= 38% of 1200
[tex] = \frac{38}{100} \times 1200[/tex]
[tex] = \frac{38 \times 1200}{100} [/tex]
[tex] = \frac{45600}{100} [/tex]
[tex] \color{orange} = 456[/tex]
Which means the group of friends spent 456 on costumes .
Therefore , the group of friends spent 456 on costumes .
8.
In two hours a candy maker can produce 80 boxes that each contain 10 pieces of candy.
How many pieces of candy does the candy maker produce in six hours?
(A) 2400
(B) 4800
(C) 480
(D) 600
Answers
Answer:
2400 candies
Step-by-step explanation:
2 hrs - 80 boxes w/ 10 candies each = 800 candies
2 x 3 = 6
800 x 3 = 2400
So:
In 6 hours, the candy maker can make 2400 candies.
Hope this helped!
Answer:
2400 candy thank me later
A cylinder has a height of 20 centimeters and a diameter of 38 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
[tex]\huge\boxed{\sf 22670.80 \ cm^3}[/tex]
Step-by-step explanation:
Height = h = 20 cm
Diameter = d = 38 cm
Radius = d / 2 = 38 / 2 = 19 cm
Volume of cylinder:
[tex]= \pi r^2 h\\\\= (3.14)(19)^2(20)\\\\= (3.14)(361)(20)\\\\= 22670.80 \ cm^3\\\\\rule[225]{225}{2}[/tex]
Solution:
Given:
Height of cylinder = 20 cmDiameter of cylinder = 38 cmFirst, let's find the radius of the cylinder as the radius of the cylinder is included in the formula.
[tex]\text{Diameter = 2(Radius)}[/tex]
[tex]\text{Radius} = \dfrac{\text{Diameter}}{2}[/tex]
[tex]\text{Radius} = \dfrac{38}{2}[/tex]
[tex]\text{Radius} = 19 \ \text{cm}[/tex]
Recall that the volume of a cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.
[tex]\pi r^{2} h = \text{Volume of cylinder}[/tex]
[tex](\pi)( r^{2})( h) = \text{Volume of cylinder}[/tex]
[tex](3.14)( 19^{2})( 20) = \text{Volume of cylinder}[/tex]
[tex]\boxed{22670.8 \ \text{cm}^{3} = \text{Volume of cylinder}}[/tex]
plz help it's urgent
Answers
d)
[tex] \frac{2 {x}^{2} - xy + 2xy - {y}^{2} }{6xy - 3 {y}^{2} } = \frac{x(2x - y) + y(2x - y)}{3y(2x - y)} = \\ [/tex]
[tex] \frac{(x + y)(2x - y)}{3x(2x - y)} = \frac{x + y}{3x} \\ [/tex]
_________________________________
e)
I think -6 should be +6
or +3x should be -3x
[tex] \frac{ {x}^{2} + 2x + x + 2 }{ {x}^{2} + 2x + 3x + 6 } = \frac{x(x + 2) + (x + 2)}{x(x + 2) + 3(x + 2)} = \\ [/tex]
[tex] \frac{(x + 1)(x + 2)}{(x + 3)(x + 2)} = \frac{x + 1}{x + 3} \\ [/tex]
Or
[tex] \frac{x(x + 2) + (x + 2)}{x(x + 2) - 3(x + 2)} = \frac{(x + 1)(x + 2)}{(x - 3)(x + 2)} = \\ [/tex]
[tex] \frac{x + 1}{x - 3} \\ [/tex]
_________________________________
f)
[tex] \frac{ {a}^{2} - 5a - 4a + 20 }{ {a}^{2} - 5a + 2a - 10 } = \frac{a(a - 5) - 4(a - 5)}{a(a - 5) + 2(a - 5)} = \\ [/tex]
[tex] \frac{(a - 4)(a - 5)}{(a + 2)(a - 5)} = \frac{a - 4}{a + 2} \\ [/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️
Felicia brought 5/9 of a gallon of water for the track team. She poured the same amount of water into 10 cups. Then she calculated how much water she poured into each cup.
Which expression would you use to find the amount of water in each cup?
10 x 5/9
10 divided by 5/9
5/9 divided by 10
5/9 x 10
Answers
Answer:
5/9 divided by 10
Step-by-step explanation:
Just help for 15 points
Answers
Answer:
Point of Intersection = (2/3, -16/3)
Step-by-step explanation:
Equation of line AB
=> y + 18 / -15 + 18 = x + 3 / -2 + 3
=> y + 18 = 3x + 9
=> y = 3x - 9
Equation of Line CD
=> y + 13 / -7 + 13 = x + 7 / -1 + 7
=> y + 13 = x + 7
=> y = x - 6
Intersection
=> 3x - 9 = x - 6
=> 2x = 3
=> x = 2/3
y = 2/3 - 6
y = -16/3
Point of Intersection = (2/3, -16/3)