First begin with the interest formula.
Interest = Principal x Rate x Time
The $250 is the principal is the amount of money invested.
The rate is 4% which translates to the decimal .04.
The time is 5 years.
So we have I = (250)(.04)(2).
Multiplying, (25)(.04) is 10 and we have 10(2) which is 20.
This means that the interest earned in 2 years is $20.
Please help will give Brain!!
Answer:
x=3
Step-by-step explanation:
Identify the initial amount a and the rate of decay r (as a percent) of the exponential function y = 8(1 – 0.15). Evaluate the function
when t = 3. Round your answer to the nearest tenth.
Answer:
Initial amount = 8
Decay rate = 15%
Step-by-step explanation:
Given the exponential function :
y = 8(1 – 0.15)
The general form of an exponential Decay function is :
A = P(1 - r)^t
Where
A = final amout ; P = initial amount ; r = days cay rate ; t = time
Hence, comparing with the equation given :
P = 8 = initial amount
r = 0.15 = 0.15 * 100% = 15% = Decay rate
A map website claims to be available 99.995% of the time (measured in minute long increments). Suppose
that we took random samples of n = 1000 minutes from the population of minutes in a year and
computed the proportion of minutes in each sample for which the website was available. We can assume
the website's claim is accurate.
What will be the shape of the sampling distribution of the proportions of minutes in which the website is
available?
Choose 1 answer:
O Approximately normal
Uniform
Skewed to the right
Skewed to the left
Answer:
Skewed to the left
Step-by-step explanation:
Khan Academy
The shape of the sampling distribution of the proportions is "approximately normal" is the correct answer.
What is the sampling distribution of proportion?"The sampling distribution of proportion measures the proportion of success, i.e. a chance of occurrence of certain events, by dividing the number of successes i.e. chances by the sample size n".
For the given situation,
Total number of random samples = 1000
A map website claims to be available of time = 99.995%
⇒ [tex]0.99[/tex]
Let us assume the website's claim is accurate.
Sample proportions closest to 0.6 would be most common, and sample proportions far from 0.6 in either direction would be progressively less likely. In other words, the shape of the distribution of sample proportion should bulge in the middle and taper at the ends: it should be somewhat normal.
Hence we can conclude that the shape of the sampling distribution of the proportions is "approximately normal" is the correct answer.
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Work out the size of angle x.
Not drawn accurately
132°
X Х
54°
Answer:
x = 84
Step-by-step explanation:
The sum of the angles around a point = 360°
sum the given angles and equate to 360
x + 132 + 54 + 90 = 360
x + 276 = 360 ( subtract 276 from both sides )
x = 84
Answer:
x = 84°
Step-by-step explanation:
→ Recall the fact that angles around a point add up to 360°
360 - (90 + 54 + 132 ) = x
→ Simplify
360 - 276 = x
→ Simplify again
84 = x ∴ x = 84°
What is a 20% tip on a $40 haircut?
Answer:
$8.00 tip
$48.00 total (haircut+tip)
Step-by-step explanation:
40 x .20 = 8
40 + 8 = 48
Answer:
Step-by-step explanation:
Solve the system of equations by the substitution method:
4x-y = 35
7x + 6y = 38
Answer:
x=8 and y=−3
help ill give brainliest
Answer:
x = 2
y = -3
Step-by-step explanation:
6x+6y = -6
x = -5y-13
substitute for x
6(-5y-13) + 6y = -6
-30y-78+6y = -6
-24y-78 = -6
add 78m to each side
-24y = 72
divide each side by -24
y = -3
x =-5(-3)-13 = 2
HELP I NEED HELP ASAP
Which best describes the linear correlation between x and y?
Which verbal expression represents the following algebraic expression?
10+4(9)
Answer:
the sum of 10 and the product of 4 and 9
Step-by-step explanation:
Find x
I'm struggling plz help
Step-by-step explanation:
the right side of the diagram
9^2 + x^2 = 24^2
81 + x^2 = 576
x^2 = 576 + 81
x^2 = 657
x=√657
the left side of the diagram
9^2 + x^2 = 24^2
81 + x^2 = 576
x^2 = 576 + 81
x^2 = 657
x=√657
A local little league has a total of 65 players, of whom 40% are left-handed. How many left-handed players are there?
Answer:
26 are left-handed
Step-by-step explanation:
Rita is designing a building shaped like a pyramid that's cut off in a plane parallel to its base (this is called a truncated pyramid). The building has a 64×64 m end text square base and is 36 m tall. The cut off section has an a16×16m square base and is 12 m tall. What is the volume of the building? Round to the nearest cubic meter.
Answer:
64,512 m3
Step-by-step explanation:
3 1
(base area)(height) = 3 1
(64⋅64)(48) =65,536
The volume of the building is 64512 cubic meters if the pyramid that's cut off in a plane parallel to its base.
What is a right square pyramid?In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the squares joints at the top which is perpendicular to the center of the square.
We know volume for the right square pyramid is given by:
[tex]\rm V= \frac{1}{3} b\times h[/tex]
Volume for the cut off portion:
[tex]\rm v = \dfrac{1}{3}\times16\times16\times12[/tex]
v = 1024 cubic meters
Volume for the completer pyramid"
[tex]\rm V=\dfrac{1}{3}\times64\times64\times48[/tex]
V = 65536 cubic meters
Volume of the building = 65536 - 1024
= 64512 cubic meters
Thus, the volume of the building is 64512 cubic meters if the pyramid that's cut off in a plane parallel to its base.
Learn more about the right square pyramid here:
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Factor the equation.
Answer:
[tex](5t+3), (t+3), (t-3)[/tex]
Step-by-step explanation:
Reorder terms.
[tex]5t^3+3t^2-45t-27[/tex]
Factor out the greatest common factor from each group
[tex]t^2(5t+3)-9(5t+3)[/tex]
Factor the polynomial by factoring out the greatest common factor, [tex]5t +3[/tex]
[tex](5t+3)(t^2-9)[/tex]
Factor.
[tex](5t+3), (t+3), (t-3)[/tex]
hope this helps :)
Find the area of a trapezoidal tabletop, if its parallel sides are 2 m and 3 m long and the perpendicular distance
between them is l m.
Answer:
The area of the trapezoidal table top is 2.5 m²
Step-by-step explanation:
The area, A, of a trapezoid is given as half times the sum of the parallel side multiplied by the perpendicular distance between them
Therefore, we have;
[tex]A = \dfrac{a + b}{2} \times h[/tex]
The given parameters of the trapezoidal table top are;
The length of the parallel sides = 2 m and 3 m
The length of the perpendicular distance between the parallel sides = 1 m
Where, for the rectangular table top, we have;
'a', and 'b' = The lengths of the parallel sides = 2 m and 3 m respectively
h = The perpendicular distance between the parallel sides = 1 m
By substituting in the values, we have;
[tex]A = \dfrac{2 \ m + 3 \ m}{2} \times 1 \ m = 2.5 \ m^2[/tex]
The area of the trapezoidal table top, A = 2.5 m².
Please help will give Brain
Answer:
6.82
Step-by-step explanation:
15/11=x/5
(15/11)5=6.81818181818
"A cylindrical container has a radius of 25 inches and a height of 31 inches. What is the volume of
the container?
Volume =
Use the formula:
Radio= r, Height= h
V= 3.14xrx2h
r =25, h=31
V= 3.14 x 25 x 2 (31) =. 4867
V= 4867 cubic inches
Step-by-step explanation:
If there are 5,280 feet in a mile and 3,600 seconds in an hour, then a speed of 26 feet per second is closest to which of the following
Answer:
17.72[tex]\frac{miles}{hr}[/tex]
Step-by-step explanation:
If you are trying to take 26 ft/s to being miles per hour this is how you do it.
26 [tex]\frac{ft}{s}[/tex] * [tex]\frac{mile}{5280ft}[/tex] *[tex]\frac{3600s}{hr}[/tex]
so
17.72[tex]\frac{miles}{hr}[/tex]
Sorry for tabs!! I need help in this. Please help me.
Answer: 11 more i think
Step-by-step explanation:
Can someone please help me with this questions
Step-by-step explanation:
a. 3⁴
b. 7⁵
c. 10²
d. 5⁷
Hope this helps?
Hopkins has a 1 meter wire using to make clocks. Each fourth meter is marked off and divided into 5 smaller equal lengths.
Complete question :
Mr. Hopkins has a 1 meter wire he is using to make clocks. Each fourth meter is marked off with 5 smaller equal lengths. If Mr. Hopkins bends the wire at ¾ meter, what fraction of the marks is that?
Answer:
15 th ; 15/20
Step-by-step explanation:
Length of wire = 1 m
Number of fourth length possible = 1 ÷ 1/4 = 1 * 4/1 = 4
Each fourth length divided into 5 equal sizes :
Hence. Total number of equal spaced division :
5 * 4 = 20
If wire is bent at 3/4 meter :
Fraction of the mark
3/ 4 of 20
3/4 * 20
(3 * 20) / 4
60 / 4
= 15th
= 15/ 20
Keon biked 78 kilometers in 3 hours. How many kilometers did he bike per hour
Answer:
26km/hr
Step-by-step explanation:
78 divided by 3 hours is equal to 26km/hr
PLEASE HELP! I WILL GIVE BRAINLIEST!
Dani wants to spend less than $25 on a birthday present for her friend. If she buys a necklace for $9.50, how many pairs of earrings, e, can she buy for $3.75 each without exceeding her budget? Enter your answer in the box.
Answer:
4
Step-by-step explanation:
25- 9.5 is 15.5 and 4 ×3.75 is 15 you would have still have .5 cents
Describe the transformations from the parent function y = 2x
a.
y = -22
b.
y = 2x-3
С.
y = 2* + 4
Please helppppp I’m almost done with itttt
The answer is [tex]\frac{5}{10}[/tex]
And that is correct
Answer:
5/10
Step-by-step explanation:
can be reduced to 1/2 or 0.5
How many solutions does this system of equations have?
Answer:
1 solution
Step-by-step explanation:
A system of linear equations has no solution when the graphs are parallel.
What is the coefficient of the second term of the trinomial? (In other words, what is B?)
(3x − 1)^2 = 9x^2 −Bx + 1
In the blank, write what B equals. Use only numbers - no letters or spaces.
Answer:
b = 6
Step-by-step explanation:
Let's solve for b.
(3x−1)2=9x2−bx+1
Step 1: Flip the equation.
−bx+9x2+1=9x2−6x+1
Step 2: Add -9x^2 to both sides.
−bx+9x2+1+−9x2=9x2−6x+1+−9x2
−bx+1=−6x+1
Step 3: Add -1 to both sides.
−bx+1+−1=−6x+1+−1
−bx=−6x
Step 4: Divide both sides by -x.
b = 6
Hope this helpss!!!
Cashews cost $6.45 a
pound, how much
would it cost to buy
three and a quarter
pounds of cashews?
Answer:
$20.96
Step-by-step explanation: 6.45 times three equals 19.35 plus a quarter of 6.45 equals 1.6125 which you round to 1.61. So 19.35+1.61= 20.96
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Determine which figure matches the pattern for the given base, side, and front.
Base
Side
Front
Answer:
the first one!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!