Find the interest rate if $11200 has
a future value of $14345 in 3 years.
Give your answer to 1 d.p.
Answer:
9.3%
Step-by-step explanation:
Given data
Principal=$11200
Futute value= $14345
Time= 3years
The simple interest expression is given as
A=P(1+rt)
substitute
14345=11200 (1+r*3)
14345=11200+r33600
14345-11200=r33600
3145=r33600
r= 3145/33600
r=0.093
Hence the rate is 9.3%
How do you know if you add or subtract in elimination?
In a middle school orchestra, there are 6 sixth graders, 11 seventh graders, and 8 eight graders. If one student is randomly chosen to complete a solo, what is the probability that a seventh grader is chosen?
Answer:
11/25
Step-by-step explanation:
total number of students to selet from is 6+11+8=25
number of seventh graders is 11
=11/25
Sarah has 600 quarters and dimes in her piggy bank which totals $123. 75 how many quarters does she have? (Hit: use cent values for each coin- quarters are 25 cents, 0. 25)
The answer of Coin word problem is Sarah has 425 quarters.
What is a Coin word problem?There are often two different equation types in coin word problems. The total number of coins is described by one equation, while the total amount of money is described by the other equation. However, let's choose some variables that will represent the problem's unknown values before we begin creating our equations.
Word Problems, also known as story problems, can be found in both daily life and the Common Core State Standards for every school level,
Let q be the number of quarters and d be the number of dimes
Then we are doing as :
q + d = 600 → d = 600 - q (1)
0.25q + 0.10d = 123.75 (2)
Sub (1) into (2) for d
0.25q + 0.10 ( 600 - q) = 123.75
simplify,
0.25q + 60 -0.10q = 123.75
0.15q + 60 = 123.75 (subtract 60 from both sides)
0.15q = 63.75 ( divide both sides by 0.15)
q = 425
Therefore, she has 425 quarters
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
join the meet /vwd-cfbx-dtk
You are filling a 5-L fish tank using a 250-mL container. How many full containers are required to fill the fish tank?
A.
10 containers
B.
16 containers
C.
20 containers
D.
25 containers
Step-by-step explanation:
5 liters is 5000 millilitres.
So in order to fill as much fish tanks as possible, we need to divide it as the 5000 litres is equally divided among fish tanks so: 5000/250 = 20 containers so the answer is c
Answer: C. 20 containers
Step-by-step explanation: There are 1000-mL in 1-L. Since you are filling a 5-L fish tank, you must multiply 1000 by 5 to find the total number of mL in the 5-L tank, 5000 mL. Now, you have to divide 5000 by 250 to find the total number of full containers required to fill the fish tank. Therefore, your answer would be 20 containers.
In 33,291 how is the value of the three in the 10,000s place related to the value of the three in the thousands place
The place value of 3 in 10,000s place is the product of 10 with the place value of 3 in thousands place.
What is Place Value?Every digit in a number has it's own place value. Place value is the position of a digit in a number.
For example, in the number 3456, 6 is in the ones place, 5 is in the tens place, 4 is in the hundreds place and 3 is in the thousands place.
Given the number 33,291.
Place value of 1 = 1
Place value of 9 = 90
Place value of 2 = 200
Place value of 3 in thousands place = 3000
Place value of 3 in ten thousands place = 30,000 = 3000 × 10
That is, place value of 3 in 10,000s place is the product of ten with the place value of 3 in thousands place.
Hence the place value of 3 in thousands place multiplied to 10 gives the place value of 3 in 10,000s place.
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Data on the fuel consumption y of a car at various speeds x is given. Fuel consumption is measured in mpg, and speed is measured in miles per hour. Software tells us that the equation of the least‑squares regression line is ^ y = 55. 3286 − 0. 02286 x
Fuel consumption is 53.957 miles per gallon for a car moving at a speed of 60 miles per hour using least square Regression .
What is Regression ?A statistical word for models that evaluate the connections between variables is regression. A single dependent variable Y and one or more independent variables X are studied using a linear regression model.
A technique for employing a goodness-of-fit criterion to fit a curve—not necessarily a straight line—through a collection of points. Regression that is most frequently used is linear regression. Recursion is occasionally used interchangeably with the word regression.
Y = mX + b, where X is the predictor (independent) variable, m is the estimated slope, and b is the expected intercept, is the formula for simple linear regression.
Calculation of Fuel Consumption in 60 miles per hour.
given the least square regression line is
y = 55.3286 - 0.02286x
so, y = 55.3286 - 0.02286 * 60 = 53.957 miles per gallon.
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what 3 numbers multiplied equal 36
Answer: 3 times 4 times 3
Step-by-step explanation:
Answer:
6 x 3 x 2 = 36
Step-by-step explanation:
HELP. TRUE OR FALSE?
later surface area means you do not includes the bases of the figure
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.
an airplane is flying from new york city to los Angeles the distance it travels in miles, d, is related to the time in seconds, t, by the equation d=0.15t how long will it take to go 12.75 milles
Answer: 85 seconds
Step-by-step explanation: 12.75/0.15=85
Find the value of this:
Can someone please help me with this it’s due tomorrow
Answer:
Table A, Table C, Table B
Step-by-step explanation:
f(x) = -4x - (-5)
f(0) = -4(0) - (-5) = 5
Table A
f(x) = -4x - (-1/5)
f(0) = -4(0) - (-1/5) = 1/5
Table C
f(x) = 4x + (2/5)
f(0) = 4(0) + (2/5) = 2/5
Table B
Answer:
Step-by-step explanation:
What is the coefficient of x³?
Let x equal the x³-1 coefficient. Thus, x=1 is the coefficient of the given function.
Coefficient definition.
A number or symbol that multiplies another number or symbol is referred to as a "coefficient" (used as a mathematical variable).
Give a co-efficient example in writing.
A coefficient is a result of multiplying an amount by a variable. 6z, for instance, is short for six times z. 6 is a coefficient since z is a variable. The coefficient is one for variables that don't have a value.
Let x equal the x³-1 coefficient. Thus, x=1 is the coefficient of the given function.
The expression's coefficient is the term multiplied by x³. Since x³ is not a word, the answer is 1.
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The full question should be:
What is the coefficient form of X³ 2 *?
how to subtract 3 1/2 - 1/4 as a fraction (I NEED IT TOMORROW)
Answer:
13/4 as an improper fraction
3 1/4 as a mixed number fraction
Step-by-step explanation:
Turn 3 1/2 into an improper fraction
7/2 - 1/4
To write 7/2 as a fraction with a common denominator, multiply by 2/2
7/2 x 2/2 = 14/4
14/4 - 1/4 = 13/4
{what is the area of the shaded region of the parallelogram below?}
plshelp!!
Answer:
J) 924 cm²
Step-by-step explanation:
the shaded area represents a trapezoid and the formula for area is:
1/2 x height x (sum of parallel bases)
A = 1/2(24)(35+42)
A = 12(77)
A = 924
what is 2.8 repeating as adecimal
Help please with this maths
Answer:
9 cm
Step-by-step explanation:
You want the radius of the sphere that has a surface area of 324π cm².
AreaThe area of a sphere is given by the formula ...
A = 4πr²
Filling in the given values, we can solve for r:
324π = 4πr²
81 = r² . . . . . . . . . divide by 4π
9 = r . . . . . . . . . . . take the square root
The radius of the sphere is 9 cm.
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Donald plays with his wood cubes and decides to make pyramids.
He carries on with his pyramids and labels following the same pattern.
After making p4 donald realises that he only has 12 wood cubes left. How many more cubes will he need to make p5?
Donald would need to use 5 levels of cubes, So to make p5 he would need 25-12 = 13 more cubes.
What is pyramid?A pyramid is a structure with a square or triangular base and four triangular sides that meet at a point, called the apex. Pyramids were built by ancient civilizations, such as the Egyptians, as tombs for pharaohs and their queens.
What is pyramid levels?In the context of building pyramids with wood cubes, it seems like "pyramid levels" refers to the layers of cubes used to construct the pyramid. Each level is a layer of cubes that sits on top of the previous one, and the number of cubes in each level increases as you move up the pyramid. For example, in the case of p4, the base level would use 1 cube, the next level would use 4 cubes, the next level would use 9 cubes, and so on. The top level, which forms the apex of the pyramid, would use the most cubes. So the pyramid levels refer to the different layers of the pyramid and the number of cubes used in each layer.
To make a pyramid labeled p5, Donald would need to use 5 levels of cubes.
Donald uses 1 cube for the base of p4, 4 cubes for the next layer, 9 cubes for the next, 16 cubes for the next and 25 cubes for the top level.
So to make p5 he would need 25-12 = 13 more cubes.
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PLS HURRY I HAVE 30 MIN
:)
which shape has the smallest perimeter?
-describe all of your work and how you derived your answers.
Answer:
Circle.among all shapes with the same area, a circle has the shortest perimeter
Which expression is equivalent to 3x + 2.5(4x + 2)?
A. 13x + 2
B. 13x + 5
C. 22x + 2
D. 22x + 5
Answer:
I think its B
Step-by-step explanation:
Hope this helps:)
The equivalent expression is,
⇒ 13x + 5
Option B is true.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 3x + 2.5 (4x + 2)
Now,
Simplify the expression as;
The expression is,
⇒ 3x + 2.5 (4x + 2)
⇒ 3x + 2.5 × 4x + 2.5 × 2
⇒ 3x + 10x + 5
⇒ 13x + 5
Thus, The equivalent expression is,
⇒ 13x + 5
Option B is true.
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How do you find the X and y-intercept of a function?
To find the x-intercept and y-intercept of a function, one can set the x or y value equal to zero and solve for the other variable.
The x-intercept of a function is the point where the graph of the function crosses the x-axis. To find the x-intercept, one can set the y-value equal to zero and solve for the x-value. For example, if the function is y = 2x + 3, the x-intercept can be found by setting y equal to zero and solving for x. In this case, 0 = 2x + 3, which means x = -3/2. So the x-intercept of this function is (-3/2,0).
The y-intercept of a function is the point where the graph of the function crosses the y-axis. To find the y-intercept, one can set the x-value equal to zero and solve for the y-value. For example, if the function is y = 2x + 3, the y-intercept can be found by setting x equal to zero and solving for y. In this case, y = 2(0) + 3 = 3, so the y-intercept of this function is (0,3).
Knowing the x and y intercepts of a function gives an idea of where the graph will start and the behavior of the function in the x and y-axis.
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HELP HELP PLS HELP I WILL BRAINLIST U
Answer:
y-3x=-1
2x+y-(y-3x)=4-(-1)
2x+y-y+3x.=4+1
5x =5
x=1
y=(3×1)-1,
y=3-1
y=2
Answer:
OPTION A ,YES
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
Help Please Question#8
Answer:
Step-by-step explanation:
The best answer is C. She solved 4 problems and began working on the 5th one. The equation is y = x + 4. So when x is 0, the answer is 4. That's when the timing began.
A: not A. A is a subtraction problem, but that is not what is happening. She started with 4 dollars in her change jar and added 1 dollar each week.
B: not B. If she ran 4 miles each week, the equation would be y = 4x.
D: same as B. The equation is 4x again.
Sarah has £135
gemma has £70
beth has £35
sarah gives some of money to gemma and beth.
the ratio of the amount of moneu sarah, gemma and beth have now is 3:2:1.
How much money did sarah give to gemma???
pls help i so stuck and i need the answer quick!
Answer:
£10 pounds
Step-by-step explanation:
135+70+35 = 240 pounds between all 3
3:2:1 ratio means 6x represents all of them
6x=240
x=£40 each 1
3(40) = £120 Sarah
2(40) = £80 Gemma
1(40+ = £40 Beth
Gemma received 10 pounds.
State the rule. Then write the next two terms. 240,120,60,
Answer:
The numbers are being divided by 2 each time.
240/2 = 120
120/2 = 60
So the next set of numbers would be:
30, 15 because
60/2 = 30
30/2 = 15
Step-by-step explanation:
Hope it helps!
The experimental calculation of the specific heat of aluminum was found to be. 156 cal/g °C, but the actual value was given as. 185 cal/g °C. What is the percent error?
The percentage error is 16%
We know that the formula for the percentage error.
E = (absolute error / actual value) × 100
The formula for the absolute error is:
A = |actual value - experimental value|
A = |V1 - V2|
where V1 is the actual value
V2 is the experimental value
E is the percentage error
A is the absolute error
In this question, the experimental calculation of the specific heat of aluminum = 156 cal/g °C
And the actual specific heat of aluminum = 185 cal/g °C
Using above formula of absolute error,
A = |185 - 156|
A = 29 cal/g °C
And the percent error would be,
E = (absolute error / actual value) × 100
E = (29 / 185) × 100
E = 0.16 × 100
E = 16%
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Which point has coordinates (-2, -2) ?
Please help ASAP !!! I will give 30 points too correct answer
Answer:
Point •H ( The GREEN one ) has the coordinates of (-2, -2).
Answer: H
Step-by-step explanation:
The answers correct because, when a number is in the third quadrent both numbers are negative. And since H is in the third quadrent on x=-2 then H is the correct answer.
Hope This Helps!
can you please help me with this question? :)
Answer:
B) 8 sec
Step-by-step explanation:
[tex]h=0[/tex][tex]40t-5t^2=0[/tex][tex]5t(8-t)=0[/tex][tex]8-t=0[/tex][tex]-t=-8[/tex]So, your answer will be 8, you are right!!
--------------------------------
hope it helps....
have a great day!!
Jamal will cut a piece of wood that is 212
2
1
2
feet long into 14
1
4
-foot sections. How many sections will result?
Group of answer choices
Answer:
no
Step-by-step explanation: