Answer:
171200 pennies
Step-by-step explanation:
Amount after 2 years = Principal + Interest
Given
Principal = £1600
Rate = 3.5%
Time = 2years
Get the interest
Interest = PRT/100
Interest = 1600*3.5*2/100
Interest = 32 * 3.5
Interest = £112
Get the amount after 2 years;
Recall that:
Amount after 2 years = Principal + Interest
Amount after 2 years = 1600 + 112
Amount after 2 years = £1712
Hence the amount Dan will have after 2 years is £1712
1712 pounds = (1712 * 100)penny
1712 pounds = 171200 pennies
Determine whether the relation is a function. Explain. {(2,5),(4,−2),(3,3),(5,4),(−2,5)} *
No; the elements –2, 3, 4, and 5 are in both the domain and the range.
Yes; for each element of the range, there is only one element of the domain.
No; the element 5 occurs twice in the range.
Yes; for each element of the domain, there is only one element of the range.
Answer:
Yes; for each element of the domain, there is only one element of the range.
Step-by-step explanation:
A set (x,y) represents a function if for each value of x(domain), there is only one respective value of y(range).
In this question, yes, for each value of x(2,4,3,5,-2), there is only one respective value of y, so it represents a function.
The correct answer is given by:
Yes; for each element of the domain, there is only one element of the range.
Rewrite as a simplified fraction. 0.51 = ?
the one is repeating btw
Answer:
17/33
Step-by-step explanation:
100 x = 51.51
100 x − x = 51.51 − 0.51
99 x = 51
divide both sides by 99 to get x as a fraction.
x=51/99
=17/33
Answer:
23/45
Step-by-step explanation:
This is directly from Khan academy itself as I got this question too.
(The red marker is the incorrect answer I put in before.)
In the diagram of collin ear points, LP=27, LM=NP, and MN=3
16. LM=
17. NP=
18. MP=
19. NL=
Answer:
Step-by-step explanation:
Given:
LP = 27
LM = NP
MN = 3
16). LP = LM + MN + NP
27 = LM + 3 + LM
27 = 3 + 2(LM)
LM = 12
17). Since, LM = NP
NP = 12
18). Since, MP = MN + NP
MP = 3 + 12
MP = 15
19). NL = LM + MN
NL = 12 + 3
NL = 15
10 points Find the missing angle.
Answer: 63
Step-by-step explanation:
Add the two numbers you have then subtract from 180 because a triangle is 180 degrees
given the function f(x)=x^3 +x^2-2x+1 what is the resulting function f(x) is shifted to the left one unit
Answer:
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Step-by-step explanation:
Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).
In this question, we have:
[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]
Shifting 1 unit to the left:
[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]
[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]
[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]
[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
10 What is the length of side LM?*
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
Length of MN ( Base ) = 8 Length of NL ( Hypotenuse ) = 10[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Length of LM ( Perpendicular )[tex] \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : [/tex]
[tex] \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}[/tex]
⤑ [tex] \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }[/tex]
⤑ [tex] \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }[/tex]
⤑ [tex] \sf{ \sqrt{100 - 64}} [/tex]
⤑ [tex] \sf{ \sqrt{36}} [/tex]
⤑ [tex] \boxed{ \sf{6\: units}}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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Find the domain and range. Graph the relation and determine whether it is a function or not
{(0,0)(1,-1),(2,-4),(3,-9),(4,-16)}
please help im about to fail math
The domain is the set of all x-coordinates and
the range is the set of all y-coordinates.
So the domain for this relation is {0, 1, 2, 3, 4}
and the range is {0, -1, -4, -9, -16}.
Now, I graph these points below.
For the relation tobe a function, it must pass the vertical line test.
If we can draw a vertical line that passes through only one point
anywhere on the graph, the relation is a function.
Notice that if you were to draw a vertical line,
no line would intersect two points on the same line.
Replace the values of A, b, x, and y to write an exponential equation that represents the number of cells present at h hours.
Answer:
100(2)^h =6,400
Step-by-step explanation:
For an equation in the form A(b)^x=y , A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100 .
Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2 . So the growth rate, or b, is 2.
The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is 100(2)^h =6,400.
Kendra just bought a new house and needs to buy new sod for her backyard. If the dimensions of her yard are 24.6 feet by 14.8 feet , what is the area of her yard
Answer:
364.08 Feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
the yard will have the area is A= L*W
A=24.6*14.8=364.08 ft^2
Two less than the quotient of a number and 3 is 16. What is the number? Let n be the unknown number
Answer:
13
Step-by-step explanation:
16/1 -3/1 = 16-3
= 13answer is unknow no.
I WILL MARK BRAINLIEST!!
Answer:
i think 108
Step-by-step explanation:
six less than six times a number is 12
Answer:
x = 3
equation: 6x - 6 = 12
Step-by-step explanation:
6x - 6 = 12
aka:
6x + -6 = 12
+6. +6
6x = 18
/6. /6
x = 3
check: 6(3) - 6 = 12
18 - 6 = 12
12 = 12
EMERGENCY HELP PLEASE
Answer:
11x+21
Step-by-step explanation:
blue square= x squared
green square=3x
pink square=7x
orange square=21
=
11x+21
Translate the following words into an expression:
The quotient of "y" and 3
A. Y/3
B. 3/y
C. 3y
D. Y * 3
factor polynomial
x^ + 9x + 20
Mary drove from her home to the library. After she left the library, she drove to the park. After that, she drove home. The map shows the path she took.
What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
How far did Mary drive?
a 10 miles
b 14 miles
c 24 miles
d 28 miles
Answer:
c
Step-by-step explanation:
I I don't even know why it seems I just chose that because
The distance between (4, 3) and (9, 15) on the coordinate plane is 13 units.
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places representing their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.
The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁)².
We have to determine the distance between (4, 3) and (9, 15) on the coordinate plane.
As per the question, the required distance would be as:
distance = √ (9 – 4)² + (15 – 3)²
distance = √ (5)² + (12)²
distance = √ (25 + 144)
distance = √ 169
distance = 13 units
Learn more about the distance between two points here:
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2p+18=200 solve for p show your work
Answer:
91
Step-by-step explanation:
2p+18=200
subtract 18 on both sides
2p=182
Divide 2 on each side
p=91
Answer:
p=91
Step-by-step explanation:
2p+18=200
p+9=100 (Divide both sides by 2)
p=91 (Subtract 9 from both sides)
Joanna received a loan from the bank for $5,000, and she plans on paying the loan back in 3 years. She will have paid $800 in simple interest. What is the simple interest rate of the bank loan? *
1 point
.05%
5.3%
18.75%
Answer:
5.3 is the amswer! Hope u pass
sam counted his heart beats while resting his heart beat 220 times in 4 minutes Sam heart beat at the same rate for the 4min .complete the ratio of beats to min
Answer: 220:4 or 220 to 4
Step-by-step explanation:
Answer:220:4
Step-by-step explanation:
Give the coordinates of each transformation of (2, –3)
1. horizontal translation of 5
2.vertical translation of –1
3.reflection across the x-axis
4. reflection across the y-axis
Answer:
Step-by-step explanation:
applied the distributive property to factor out the greatest common factor 35 + 14
Answer:
35+14=7(5+2) , so you have the alternative way of computing the sum.
49=7(7)
Answer:
35+14=7(5+2)
Step-by-step explanation:
Solve for x round to one decimal place.
Answer:
i wanna say 12 but i am not sure!!!!!!!!!
Step-by-step explanation:
aight man plz help me lol
the product of two number is 20 and the sum of square is 41 find the number
Answer:
Answer. The numbers are 4 and 5. Their sum = 25 + 16 = 41.
please help asap!!!!
What will be the 50th term in the sequence defined by an=11+5(n-1)
Answer:
234
Step-by-step explanation:
What is the area of the shaded region?
(25/1 - 48) cm
(2571 - 30) cm
(2572 - 24) cm
(2571 – 12) cm2
Answer:
Option (3)
Step-by-step explanation:
From the figure attached,
Area of the shaded region = Area of circle - (Area of the ΔOAB + Area of ΔOED)
Area of the circle = πr²
= π(5)²
= 25π cm²
Area of ΔOAB = 2(Area of ΔOCB)
AB = 6 cm
OC = 5 - 1 = 4 cm
By applying Pythagoras theorem in ΔOCB,
OB² = OC² + BC²
5² = 4² + BC²
BC² = 25 - 16
BC = √9 = 3 cm
Area of ΔOCB = [tex]\frac{1}{2}(OC)(BC)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 cm²
Area of ΔAOB = 2(6) = 12 cm²
Area of ΔAOB = Area of ΔDOE = 12 cm²
Area of shaded region = 25π - (12 + 12)
= (25π - 24) cm²
Therefore, Option (3) will be the answer.
Rationalize the denominator and simplify 6/√2-√3
Answer:
Step-by-step explanation:
[tex]\frac{6}{\sqrt{2} - \sqrt{3} } * \frac{\sqrt{2} + \sqrt{3} }{\sqrt{2} + \sqrt{3} }[/tex]
[tex]\frac{6\sqrt{2} + 6\sqrt{3} }{2-3}[/tex]
[tex]-6(\sqrt{2} + \sqrt{3} )[/tex]
The fraction after rationalizing the denominator is given by the equation
A = -6 ( √2 + √3 )
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction be represented as A
Now , the value of A is
A = 6 / ( √2 - √ 3 ) be equation (1)
Now , on simplifying the equation , we get
To rationalize the denominator of the fraction ,
Multiply the denominator by its conjugate ,
So , the conjugate of ( √2 - √ 3 ) = ( √2 + √ 3 )
Multiplying the numerator and denominator of the fraction by ( √2 + √ 3 )
A x ( √2 + √ 3 ) / ( √2 + √ 3 )
Substituting the values in the equation , we get
[ 6 / ( √2 - √ 3 ) ] x ( √2 + √ 3 ) / ( √2 + √ 3 )
On simplifying the equation , we get
6 ( √2 + √ 3 ) / ( 2² - 3² )
So , the value of A is A = 6 ( √2 + √ 3 ) / ( -1 )
A = -6 ( √2 + √ 3 )
Therefore , the value of A is A = -6 ( √2 + √ 3 )
Hence , the equation A = -6 ( √2 + √ 3 )
To learn more about fractions click :
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Who ever helps gets barinliest.
Answer:
1/8
Step-by-step explanation:
The second option is the answer
plz help i need it quick!!! simplify
Answer:im not sure sorry
Step-by-step explanation: