Is 15/60 equivalent to 1/4
Answer: Yes
Step-by-step explanation:
15/60 divided both by 15:
15/15=1 and 60/15=4
Answer:
yes
Step-by-step explanation:
15/60 divided by 15/15 = 1/4, or you could day that 15/60 simplified = 1/4, making the answer yes
Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?
Answer:360
Step-by-step explanation:g-g5
The rate of interest will be 0.35.
What is compound interest?
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest formula[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]
and, the Amount is given by
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A is amount
P is principal
r is rate of interest
n is number of times interest is compounded per year
t is time
According to the given question
Principal, P = $210
Amount, A = $250
Time, t = 5 years
n = 1
Therefore, the interest rate is given by
Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]
⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]
⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]
⇒[tex]1.19 = (1+r)^{5}[/tex]
⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]
⇒ 1.035 = 1 + r
⇒ r = 1.035 - 1
⇒ r = 0.35
Hence, the interest rate is o.35.
Learn more about compound interest here:
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Please help !! (no fake answers please !!) I'll mark brainlist.
Answer: area mean multiply
Step-by-step explanation:
Answer:
76 feet (Just put 76 in the answer box)
Step-by-step explanation:
Knowing the perimeter of a rectangle is 2l + 2w, multiply 2 by 3.5. Then multiply 2 by 4.5, and add them together.
2(3.5) + 2(4.5)
The two products would be 7 and 9 respectively.
7 + 9 = 16 feet of fencing for 1 rabbit pen.
We have 2 pens, so multiply 16 by 2.
The rabbit pens need 32 feet of fencing.
(Alternatively you could have done 2(2(3.5 + 4.5)).
2(2(8))
2(16)
32 ft of fencing (rabbit pens))
Now, add 12 and 10. Then multiply that by 2.
2(12 + 10)
2(22)
The garden needs 44 feet of fencing.
Now add 32 and 44 to get the total amount of fencing needed.
32 + 44
The rabbit pens and the garden need 76 feet of fencing. (Just put 76 in the answer box as the unit (feet) is already given.)
Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4
Answer:
[tex]\displaystyle f'(4) = 63[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/CoefficientsCalculus
Derivatives
The definition of a derivative is the slope of the tangent line.
Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = 7x² + 7x + 3
Slope of tangent line at x = 4
Step 2: Differentiate
Substitute in function [Limit Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify: [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate: [tex]\displaystyle f'(x) = 14x + 7[/tex]Step 3: Find Slope
Substitute in x: [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply: [tex]\displaystyle f'(4) = 56 + 7[/tex]Add: [tex]\displaystyle f'(4) = 63[/tex]This means that the slope of the tangent line at x = 4 is equal to 63.
Hope this helps!
Topic: Calculus AB/1
Unit: Chapter 2 - Definition of a Derivative
(College Calculus 10e)
9 ounces = how many pounds? in fraction form
Answer:
9/16 pounds
Step-by-step explanation:
1 pound = 16 ounces
With this information, we have make a proportion to find the number of pounds 9 ounces is
Let p = the number of pounds
16/1 = 9/p
Multiply both sides by 1 to get
16 = 9/p
Multiply both sides by p
16p = 9
Divide both sides by 16
p = 9/16
This fraction is in its simplest form and can't be simplified any more.
Answer:
9/16 is the answer brainliests
Step-by-step explanation:
which of the following statements is not true
Answer:
2nd option is the answer
Step-by-step explanation:
A boxer punches a sheet of paper in midair and brings it from rest up to a speed of 20m/s in 0.044 S
Complete Question:
A boxer punches a sheet of paper in midair and brings it from rest up to a speed of 20m/s in 0.044 Seconds.
a. what acceleration is imparted to the paper?
b. if the mass of the paper is 0.003 kg, what force does the boxer exert on it?
c. how much force does the paper exert on the boxer?
Answer:
a. Acceleration = 454.55m/s².
b. Force = 1.36N
c. Force = -1.36N
Step-by-step explanation:
Given the following data;
Final velocity = 20m/s
Time = 0.044 seconds.
Since the paper is at rest, we know that it's initial velocity is equal to 0m/s.
a. To find acceleration;
Mathematically, acceleration is given by the equation;
[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]
Substituting into the equation, we have;
[tex]a = \frac{20 - 0}{0.044}[/tex]
[tex]a = \frac{20}{0.044}[/tex]
Acceleration = 454.55m/s²
b. To find the force exerted by the boxer;
Mass = 0.003kg
Force = mass * acceleration
Force = 0.003 * 454.55
Force = 1.36N
c. To find the force exerted by the paper;
According to Newton's third law of motion which states that, for every action there is an equal and opposite reaction. Therefore, the paper exerts an equal but opposite force on the boxer.
Force = -1.36N
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who has hooked a fish that is 10 meters below the surface of the water. a. Use positive and negative numbers to represent the locations in relation to sea level. Scottie =
Complete question :
Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above
sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who
has hooked a fish that is 10 meters below the surface of the water.
a. Use positive and negative numbers to represent the locations in relation to sea level.
Scottie =
Top of the lighthouse =
The boat =
The fish =
meters
b. How far is Scottie from the fish?
Answer:
30 m ;
15 m ;
0 m;
40 m
Step-by-step explanation:
Scottie's position = standing on cliff
Height of cliff = 30 m above sea level
Height of lighthouse = 15 meters
Position of fish = 10m below sea level
Above sea level = positive, +
Below sea level = negative, -
Scottie's position = 30 m
Top of lighthouse = 15m
BOAT = surface of sea = 0m
Fish = - 10 m
Distance of Scottie from fish :
Scottie's position - Position of fish
30m - (-10)m
30m + 10m
= 40m
Sheldon is creating a graph to represent the trip he takes from his home to his favorite clothing store. In his graph, one unit on the coordinate plane is equal to one mile. He draws a point at $\left(4,\ 3\right)$ to represent the location of his house. The store is $5$ miles away from his house. Which coordinate pairs could represent the location of Sheldon's favorite clothing store?
Answer:
hjgfghjk
Step-by-step explanation:
:)
The length of a rectangle is equal 3x - 2. The width of the rectangle is equal to
x2 - 4x + 8. Which expression is equal to the perimeter of the rectangle?
pls answer someone
Answer:
14x-4
Step-by-step explanation:
2(3x-2)+2(2x-4x+8)
6x-4+4x-8x+16x
14x-4
Simplify the expression -2 (x + 4 + 5y).
Answer:
-2x-10y-8
Step-by-step explanation:
Rearange terms
-2(x+4+5y)
-2(x+5y+4)
Distribute
A football team carried out a report to see the impact of stretching on preventing injury. Of the 60 footballers in the squad 48 stretch regularly. Of those who stretch, 8 got injured last year. There was a total of 17 injured players last year.
The results can be presented in a frequency tree. What fraction of players who do stretch get injured?
Answer:
1 in every 6 players 1/6
8/48=1/6
One angle of a right triangle measures 34°. What is the measure of the other acute angle?
Answer:
Step-by-step explanation: one has to be 90 degrees, so 34 plus 90. The angles of a triangle always add up to 180 so, subtract the answer of 34 plus 90 from 80 and you should get the answer.
Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK
a. 2
b. 1/2
c. -3
d. 2/3
Answer:
b, c, and d are solutions
Step-by-step explanation:
3x - 2 < 2 - 2x
5x - 2 < 2
5x < 4
x < 4/5
b) 1/2 < 4/5 true
c) -3 < 4/5 true
d) 2/3 < 4/5 true
15 pints because 2 questions
Answer:
1.its B
2.G
Step-by-step explanation:
HELP PLEASE CHECK MY ANSWER!!!
Answer:
its almost correct but its just a little bit off
Step-by-step explanation:
1. on the left its on the two bring it closer to the 4 than the 2 so its gonna be right before the four ill insert a picture so u can see as well.
2. on the left side its going to be right before -2.
3. on the bottom its going to be moved down to -18 and a little bit out going to the right.
the picture is right there hope it helped
Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each kind did she buy?
Answer:
3 spoons and 6 forks
Step-by-step explanation:
9 = x + y; x= 9-y
44 = 4x + 6y
44 = 4(9-y) + 6y
44 = 36 - 4y +6y
44 = 36 +2y
2y = 44-36 = 12
y = 12/2 =6
x= 9-y = 9-6 =3
can you help me please
Answer:
25/6
Step-by-step explanation:
help please lol yuhaaaaaas
Answer:
When you read the points on the graphs answer choice A is the only answer choice with all of the points grasped correctly.
Find the product.
10(-7)
Answer:
-70
Step-by-step explanation:
If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.
what's bigger -1/5 or -0.9
Answer:
-1/5
Step-by-step explanation:
-1/5=-0.2
-0.9<-0.2
Tell whether each equation has no solution, one solution, or infinitely many solutions.
3x-12=3x+1
help me please, i don’t get it loll
Answer:
subtract to find A
Step-by-step explanation:
solve : 2⁴
I need to show work
Answer:
16
Step-by-step explanation:
2 to the power 4
2 × 2 × 2 × 2 = 4 × 2 × 2 = 8 × 2 = 16
2⁴=16
2•2=4
4•2=8
8•2=16
hope i helped. (:
Is the function even,odd, or neither
Answer:
even :D
Step-by-step explanation: :D
2/5 divided by 4 and reduce the answer
Answer:
1/10 i guess
Step-by-step explanation:
2/5=0.4
0.4/4=0.1
0.1=1/10 (one tenth_
Answer:
1/10
Step-by-step explanation:
2/5 ÷4 is the same as 2/20, which is 1/10
Which expressions have exactly two factors? Choose ALL that apply.
Please Help
Answer: xy and 3(b - 1 )
Step-by-step explanation:
Answer:
Step-by-step explanation:
this expression is xy and 3(b-1)
Asap
Each part needs fourteen small holes drilled in its outer surface and four larger holes drilled in its inner surface. Write an expression that shows how many holes need to be drilled for c parts.
Answer:
(14 + 4)c, or 18c
Step-by-step explanation:
Answer:
(14 + 4)c, or 18c
Step-by-step explanation:
Function g can be thought of as a translation (shifted) version of f(x)=x^2
What is the equation for g (x).?? PLEASE HELP ASAP
Answer:
(x+5)²
Step-by-step explanation:
To solve this we just need to shift the graph 5 spots to the left
to do this we need to add 5 to the x
(x+5)²
