Answer:
F $1800
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 15000 × 0.04 × 3 = 1800
I = $ 1,800.00
The simple interest accumulated
on a principal of $ 15,000.00
at a rate of 4% per year
for 3 years is $ 1,800.00.
Answer:
F. $1800
Step-by-step explanation:
Simple interest means that a percent of the initial amount will be paid back each year, this amount will not change from year to year. To calculate the simple interest over a given unit of time, multiply the amount by the interest rate in decimal form, then multiply that value by the time span that this was taken over. The result will be the amount earned.
The following formula can be used to describe this scenario,
[tex]simple\ interest=(time)((amount)(interest\ rate))[/tex]
Substitute,
[tex]=(3)((15000)(4))[/tex]
To convert a percent to decimal form, divide the percent by (100)
[tex]=(3)((15000)(0.04))[/tex]
[tex]=(3)(600)\\\\=1800[/tex]
A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t
is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the
nearest whole number, and do not include units.
Answer:
Step-by-step explanation:
A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t
is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the
nearest whole number, and do not include units.
reduce 12/20 to lowest term
Answer:
3/5
Step-by-step explanation:
12/20
(divide both by 2)
12/2= 6
20/2=10
6/10
(divide by both by 2)
6/2= 3
10/2= 5
3/5
A baker uses 5 cups of flour to make 75 cookies. Using this same ratio, how many cups of flour will be needed for 45 cookies? Use the ratio table given to solve the problem.
Answer:
Since, the baker use 5cups for 75cookies.Then for 30 cookies number of cups=
=75/5
=15.
Therefore no. 1cups for 15cookies.so,for 30 cookies=
=15*2
=30.
So, 2cups are needed for 30cookies
Which answer choice represents a person burning 45
calories by climbing 9 flights of stairs?
F
Number of Flights of
Stairs Climbed, f
Number of Calories
Burned, c
G.
c=f+5, where c represents the number of
calories burned and f represents the number of
flights of stairs climbed.
1
5
3
15
5
25
7
35
J
A person who climbs 5 flights of stairs will
burn 1 calorie
90
22
Need
Heln2
Solve using the tangent formula(real answers only please)
9514 1404 393
Answer:
21.07
Step-by-step explanation:
The tangent ratio is ...
Tan = Opposite/Adjacent
For the given values, this is ...
tan(36°) = x/29
Solving for x, we have ...
x = 29·tan(36°)
x ≈ 21.07
$410 is invested in an account earning 4.2% interest (APR), compound quarterly. Write a function showing the value of the account after t years, where the annual growth rate can be found from constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
Find the slope of each line (no links I’ll report)
Answer:
Slope = ⁵/7
Step-by-step explanation:
Slope (m) = change in y / change in x
Using two points on the graph, (-4, -4) and (3, 1),
Slope (m) = (1 - (-4))/(3 - (-4)) = 5/7
Slope (m) of the line = 5/7
Simplify 4x + 3x² + x² - 3x
Answer:
[tex]x + {4x}^{2} [/tex]
Step-by-step explanation:
simplify by combining like terms
4x - 3x = x
[tex]3x ^{2} + {x}^{2} = {4x}^{2} [/tex]
we're left with
[tex]x + {4x}^{2} [/tex]
Answer:
4x²+x
Step-by-step explanation:
4x-3x+3x²+x²
4x minus 3x is x and 3x² +x² is 4x²
therefore,
4x²+x
What fraction is equivalent to 10 and has a denominator of 100? (2 points)
6
100
7
60
100
o
600
100
a
60
10
Answer:
1000 / 100
Step-by-step explanation:
Answer:
ff
Step-by-step explanation:
PLEASE HELP!
I AM IN A HURRY
Answer:
Honestly I have no idea what is going on in this passage or whatever it is.
Step-by-step explanation:
What is the slope of the line that goes through (0,0) and (6, 3)?
Answer:
0.5
Step-by-step explanation:
so the slope is also known as the gradient in y=mx+c
How is the graph of the parent quadratic function transformed to produce the graph of y--(2x+6)2+3?
O The graph is compressed horizontally by a factor of 2, shifted left 3 units, reflected over the x-axis, and translated
up 3 units
O The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated
up 3 units
The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3 units, and translated up
3 units
O The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6 units, and translated up
3 units
Answer: a
Step-by-step explanation:
just took the test
What formula can be used to find circumference? Choose all that apply. *
Cat
2r
nd
2nd
Answer:
circumference =pi ×diameter
OR
pi × radius × 2
Please help me with this ASAP ASAP please please help
Answer:
Step-by-step explanation:
Base perimeter: 4 x 2 x π = 8π
LA = 8π x 6 = 48π
Base area = 4^2π = 16π
SA = 16π x 2 + 48π = 80π
V= 16π x 6 = 96π
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
-8x+8=-6x+20 and x= -6
Step-by-step explanation:
Reason to equation:
This image shows alternative interior angles.
Alternative interior angles are congruent to each other.
How to find x:
-8x+8=-6x+20
We subtract 8 from both sides
-8x=-6x+12
We add 6x to both sides
-2x=12
We divided -2 from both sides
-2x/-2x = 12/2
Leaving us with x=-6
Which expression is the simplest form of 2(4x + y) + 3(x - 6y) + x2?
O A. x2 + 11x-17y
B. x2 + 11x – 4y
C. x2 + 9x- 17y
O D. x2 + 11x-16y
Answer:
x² + 11x-16y
Step-by-step explanation:
The given equation is :
[tex]2(4x + y) + 3(x - 6y) + x^2[/tex]
It can be simplified as follows :
[tex]2(4x + y) + 3(x - 6y) + x^2\\\\=2(4x)+2y+3x-3(6y)+x^2\\\\=8x+2y+3x-18y+x^2\\\\=11x-16y+x^2[/tex]
So, the correct option is (d) i.e. x² + 11x-16y.
NEED HELP ASAP PLEASE! BRAINLIEST TO RIGHT ANSWER! Are the polygons similar? If they are, write a similarity statement and give the scale factor.
Answer:
B) Yes; POSN~KDAG; scale factor 5:4
Step-by-step explanation:
B) Yes; POSN~KDAG; scale factor 5:4
Same angles (If 3 are the same, the 4th is the same).
Comparing the 4 respective sides:
15/12=5/4
10/8=5/4
7.5/6=5/4
15/12=5/4
Pick the correct value for the image of A after applying the rotation matrix.
(- 3, -4)
(- 1, -4)
(1, -4)
(3, -4)
Answer:
A) (- 3, -4)
Step-by-step explanation:
edge 2021
Answer:
A) (-3, -4)
Step-by-step explanation:
If x is an acute angle, and tan x=3/4
evaluate
COS x-sin x/COS x+ sin x
please answer fast 10 points and brainliest answer
Use the pic and solve the COS x-sin x/COS x+ sin x part
comment if there's something u don't understand
The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
tanx = 3/4 (x is an acute angle)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex] ….(1)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex] …(2)
Divide (1) ÷ (2)
(cosx-sinx)/(cosx+sinx) = (1/3)/(7/3) = 1/7
Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
Learn more about trigonometry here:
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Elijah bought a new car for $25,000. He paid
$5,000 up front and then $600 per month. How
many months will it take Elijah to pay off the car?
Answer: 6 days too be exact
Step-by-step explanation:
Answer:
33.333 months
Step-by-step explanation:
25,000-5,000=20,000
20,000/600=33.333
If he payed $5,000 upfront, the he only has $20,000 remaining to pay. If he is paying $600 a month then you divide the $20,000 by the $600 to 33.333 months. Hope this helps
The mean number of points in 1977 was 1189 points with standard deviation of 397 points. With a roughly normal distribution, what percent of performances would fall between 395 and 1983 points?
Your answer
A. 100%
B. 68%
C. 95%
D.99.7%
Answer:
C. 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1189 points, standard deviation of 397 points.
Percentage between 395 and 1983 points?
395 = 1189 - 2*397
1983 = 1189 + 2*397
So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.
A scale drawing used for the model of a building is 1 inch = 150 feet. How tall is the building if the scale model is 6 inches tall?
Answer:
900
Step-by-step explanation:
1 inch/150 feet x 6 inch/x feet
cross multiply
1x=900
If ∠1 and ∠2 are vertical angles and m∠2 = 108°, find m∠1.
Answer:
angle 1 = 108°
Step-by-step explanation:
because angle 1 and angle 2 are vertical angles and vertical angles are equal.
6/x=2x+4/5 multiply each side by the common denominator to find the quadratic equation equivalent to this equation
9514 1404 393
Answer:
C. 2x² +4x -30 = 0
Step-by-step explanation:
This is what you get when you follow the instructions.
[tex]\dfrac{6}{x}=\dfrac{2x+4}{5}\qquad\text{given}\\\\\dfrac{6(5x)}{x}=\dfrac{(5x)(2x+4)}{5}\qquad\text{multiply by the common denominator $5x$}\\\\30=x(2x+4)\qquad\text{cancel common factors}\\\\30=2x^2+4x\qquad\text{eliminate parentheses}\\\\\boxed{2x^2+4x-30=0}\qquad\text{subtract 30}[/tex]
Tell whether it is possible to draw a figure with the given description.
a triangle with sides of length 5 inches and 6 inches that meet at a 50° angle
Is it possible or not possible. Will give brinliest
Answer:
in my opinion it is not possibleStep-by-step explanation:
hope it helps you have a good day
i will be sooooo thankful if u helped me
Answer:
For 35 its C
Step-by-step explanation:
In rectangle ABCD,If EC=13 find BD
Answer:
[tex]BD = 26\\[/tex]
Step-by-step explanation:
Given
[tex]EC = 13[/tex]
Required
Find [tex]BD[/tex]
In the given rectangle.
AC and BD are the diagonals.
This implies that:
[tex]AC = BD[/tex]
AC is calculated as:
[tex]AC = AE + EC[/tex]
Where
[tex]AE = EC[/tex]
So:
[tex]AC = EC + EC[/tex]
[tex]AC = 13+13[/tex]
[tex]AC = 26[/tex]
Recall that: [tex]AC = BD[/tex]
[tex]BD = 26\\[/tex]
Which shape is the base of the pyramid shown below?
A triangle
B square
Answer:
B. it's a square pyramid so the base is a square.
Step-by-step explanation:
If x =10 what is x over 2 plus 3x ??
Answer:
35
Step-by-step explanation:
Substitute x in the equation for 10
x/2 = 10/2
+ 3x = + 3(10)
10/2 = 5
+ 3(10) = + 30
5 + 30 = 35
If I apply distributive property to 6 (t + 12) = 114 then what operation will I need to use first
Answer:
Step-by-step explanation:
First divide 6 from the left size so it gets cancelled.
Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6
Which becomes (t + 12) = 19
Now, (t + 12) - 12 = 19
Therefore, t = 19 - 12
Answer: t = 7
(whatever you do to one side, most be done to the other side too).
To check,
6(t+12)=114
6(7+12)=114
Solve brackets first, 6(19)=114
114=114
The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.
What is Distributive property?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
As per the given data:
To apply distributive property in 6 (t + 12) = 114
Distributive property: A (B + C) = A × B + A × C
Now for, 6 (t + 12) = 114
First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:
6 × t + 6 × 12 = 114
6t + 72 = 114
6t = 114 - 72
6t = 42
t = (42/6) = 7
Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.
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