Money with Nathan in his savings account = $40
Rate of interest per annum = 5%
We know that :
[tex]\color{hotpink}\tt \: simple \: interest \color{plum}= \frac{principal \times rate \times time}{100} [/tex]
In this case :
Principal = $40
Rate = 5%
Time = 1 year
Simple interest he will earn in 1 year :
[tex] =\tt \frac{40 \times 5 \times 1}{100} [/tex]
[tex] = \tt \frac{200}{100} [/tex]
[tex]\color{plum} =\tt\$ \: 2[/tex]
Amount = Principal + Interest
Amount Nathan has to pay at the end of one year :
[tex] = \tt40 + 2[/tex]
[tex]\color{plum} =\tt \$42[/tex]
Thus, at the end of 1 year Nathan has to pay $42.
Therefore, simple interest Nathan will earn in 1 year = $2
Which statement is true based on the graph ?
Answer:
C: The speed increases from A to F
Step-by-step explanation:
Check each node A to F including A and F.
B is higher than A, C is higher than B, ...
This is true for all of them, so it is increasing.
The speed of the car is increasing in the time interval from point A to point F. Option C is correct.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
What is the graph?The graph depicts the relationship between the x and y axes through the use of curves.
Here,
The graph shows the speed and time relation of the car,
Where,
The speed of the car is increasing from A to F,
The speed of the car is decreasing from F to G,
The speed of the car is increasing from G to H,
The speed of the car is decreasing from H to K,
Thus, the car's speed increases over the time span from point A to point F. Option C is the right answer.
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Find the third, fifth, and eleventh terms of the sequence described by the rule.
A(n) = - 6+ (n - 1)(6)
A(3)= ?
Answer:
A(3) = 6
A(5) = 18
A(11) = 54
PLS MARK AS BRAINLIEST
all vertical and horizontal cross-sections of any Cube are all the same size and shape what about vertical and horizontal cross-sections of a pyramid are they all the same size are they all the same shape discuss why or why not
Answer:
All the horizontal sections are the same shape like their base, but have different sizes.
All vertical sections through top are triangles, size are different.
The vertical sections not cut through top are 4 sided shapes, sizes are different.
Step-by-step explanation:
Write -√-49 as an imaginary number using i.
Represent 4-3i on the graph
Sasha ate 3 pieces of bacon for breakfast and ate some pieces for lunch. How many pieces of bacon did she eat today?
Use the substitution method to solve the system of equations. choose the correct ordered pair.x+y=12 -x=-y+10
Answer:
x=1 y=11
Step-by-step explanation:
What is the formula for circumference? а a C = (pi) bo C = 2r с C = (pi) r2
Answer:
2(pi)r=C
Step-by-step explanation:
How many real and how many are imaginary
Please Explain how to do it
Answer:
no idea bud
Step-by-step explanation:
Answer:
There are no real solutions, and 2 imaginary solutions.
Step-by-step explanation:
There are no real solutions since the function never touches the x-axis and it does not have any roots. Imaginary solutions always come in pairs, and since the exponent degree of x is 2, there are 2 solutions to the problem. You can find the imaginary solutions by plugging the equation into the quadratic formula.
A profit of a football club after a takeover is modeled by p(t) = t3 - 14t2 + 20t + 120, which t is the number of years after the takeover. In which years was the club making loss?
The club losses during the years 4.89 years<t<11.29 years.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
Profit of a football club after a takeover is modeled by p(t) = t³ - 14t² + 20t + 120,
t is the number of years after the takeover
We need to find in which years was the club making loss
p(t) = t³ - 14t² + 20t + 120,
the profit is negative when the club is in loss.
Plot the cubic equation
The profit p(t) is negative in the interval (4.89,11.29)
The number of years t cannot be a negative number
Hence the club lost during the years 4.89 years<t<11.29 years.
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Will give brainliest
What is the missing reason in step three?
A.SAS
B.SSS
C. Triangle sum theorem
D. CPCTC
Write the set using the roster method A={a|a an even number and 15< a< =25}
Answer:
{16, 17, 18, 19, 20, 21, 22,23, 24, 25}
Step-by-step explanation:
Given the set A={a|a an even number and 15< a< =25}
The inequality 15< a< =25 mean the set A consists of all the values between 15 and 25 with 25 inclusive (due to presence of the equal to sign)
Hence the required set A are {16, 17, 18, 19, 20, 21, 22,23, 24, 25}
Note that 15 is excluded from the set of number since 15<a i.e a > 15
how many perfect square are there between 1,000,000 and 9,000,000?
Answer:
1999
Step-by-step explanation:
The square root of 1,000,000 = 1,000.
The square root of 9,000,000 = 3,000.
This means that the number of perfect square will be every number from 1,000^2 to 3,000^2. To find how many numbers that is, just do 3000-1000 = 2000, and then subtract one because otherwise you would be counting the 3000^2 which you don't want to do (it asks how many perfect squares are between the two numbers).
2000 - 1 = 1999.
The number of perfect squares between the values 1,000,000 and 9,000,000 would be 1999
Taking the square root of the boundaries :
√1,000,000 = 1000√9,000,000 = 3000The number of perfect squares would be :
[(√9,000,000 - √1,000,000) - 1]
[3000 - 1000] - 1
2000 - 1
= 1999
Hence, the number of perfect squares would be 1999.
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PLEASE HELP ME ON THIS QUESTION!! Ren invested in two businesses in 2010. She invested $50,000 in Dawn's Flowers, which guaranteed a 7% return per year.
Her investment in Pop's Coffeeshop is represented by the function V(t)=24,500(1.06)t.
Which statements are true?
Select each correct answer.
Dawn's Flowers earned a greater rate of return than Pop's Coffeeshop.
In 2020, the Pop's Coffeeshop investment will have a greater value than the Dawn's Flowers investment.
Ren's initial investment in Dawn's Flowers was greater than her initial investment in Pop's Coffeeshop.
In 2015, the Pop's Coffeeshop investment had a greater value than the Dawn's Flowers investment.
Answer:
Dawn's Flowers earned a greater rate of return than Pop's Coffeeshop
Ren's initial investment in Dawn's Flowers was greater than her initial investment in Pop's Coffeeshop.
Simply
x + 50 × 10 = 150
Answer:
x + 50 × 10 = 150
x+500=150
x=150-500=-350
Step-by-step explanation:
solution,
here,
given,
x+50*10 = 150
or, x+500=150
or, x= 150 -500
therefore, x= -350
hope this helps u..
1. Lois has 10 coins in quarters and dimes in their pocket. After counting, the total value is $1.45. How many of each coin did Lois have?
Answer:
5 quarters and 2 dimes
Step-by-step explanation:
5 quarters make 1.25 + 10 cents = 1.45
Answer: she had five quarters and 2 dimes
Step-by-step explanation:
Which is an example of figurative language? 10 points
Question 13 options:
1)
Definition
2)
Evidence
3)
Metaphor
4)
Claim
Answer:
Metaphor
Step-by-step explanation:
Figurative Language: Simile, Metaphor, Personification, Hyperbole
What is the minimum of the sinusoidal function?
Answer: The minimum is -4.
Step-by-step explanation:
The minimum of a function:
y = f(x)
will be the smallest value of y that the function gives.
such that, if the minimum is y = m
m ≤ f(x) ∀ x
In this case, we can see that the smallest value of y is:
y = -4
Then the minimum of the sinusoidal function is -4.
The price of Stock A at 9 A.M. was $12.21. Since then, the price has been increasing at the rate of $0.11 each hour. At noon the price of Stock B was $12.71. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
mildiu usa so lapuaña kqyiq iwguiq oga oga. apphq. kgaoa
Step-by-step explanation:
suost. oaabqj the ksysa
Find the equation of a line perpendicular to x=−4 that contains the point (−3,4). Write the equation in slope-intercept form.
Answer:
y=4
Step-by-step explanation:
We recognize x=−4 as a vertical line, so its perpendicular will be horizontal. The equation of the horizontal line containing the point (−3,4) is given by y=4.
The slope-intercept form of a line perpendicular to x=−4 that contains the point (−3,4) is y = 4.
What is the slope of a line that is perpendicular to the other line?The slope-intercept form of a line is y = mx + c.
Here, m = slope and c = y-intercept of the line.
The equation of the given line is x = - 4
Therefore, the given line is a vertical line.
Now, the line that is perpendicular to the line x = - 4, is a horizontal line.
Now, the horizontal line that passes through the point (- 3, 4) is y = 4.
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A class of 195 students went on a field trip. They took 19 vehicles, some cars and some buses. If
each car holds 5 students and each bus hold 25 students, how many buses did they take?
Answer:
1car 8 bus
Step-by-step explanation:
1×5=5
8×25=190
Who can help me with this
Answer:
Growth
Step-by-step explanation:
Given
[tex]\frac{2}{3}(2.5)^x[/tex]
Required
Growth or decay
The general form is:
[tex]y = ab^x[/tex]
Such that:
[tex]b = rate[/tex]
For b, we have the following conditions:
[tex]b > 1[/tex] ----- Growth
[tex]0<b <1[/tex] --- Decay
[tex]b = 1[/tex] ---- None
Compare [tex]\frac{2}{3}(2.5)^x[/tex] to [tex]y = ab^x[/tex]
[tex]b = 2.5[/tex]
Because 2.5 > 1, then the first condition applies (growth)
Multiply and divide decimals.
One pound of chocolate chip cookies cost $3.79. David buys exactly 5 pounds of chocolate chip cookies. How much will the cookies cost?
State Your answer. Give Details. Explain what you did and justify Your steps.
And also, you'll get brain if u do these directions. :)
Answer:
5 pounds of chocolate chip cookies cost $18.95.
Step-by-step explanation:
If one pound of chocolate chip cookies cost $3.79, then 5 pounds of chocolate chip cookies will cost 3.79 times 5 dollars, which is equal to $18.95.
Hope this helps!
y= x/5 +3
a line perpendicular to this line would have a slope of
5. Licorice are 5 cents. How many licorice can you buy
with 10 cents?
Answer:
2
Step-by-step explanation:
5+5=10
12) Find the zeros of the function:
f(x) = x2 + 5x – 36
IS
Answer:
x² +5x - 36
= x² - 4x + 9x - 36
= x(x - 4) +9(x - 4)
= (x - 4) (x+9)
so x = 4, - 9
Find the measure of CD.
Round to the nearest tenth.
mCD= [?]
Answer:
The arc CD is: 114.64°
Step-by-step explanation:
The given triangle inside the circle, we can get the trigonometric ratio such as
sin x = opposite / hypotenuse
Here:
The opposite side of angle x = 36.7/2
The hypotenuse = 21.8
Thus,
sin x = [36.7/2] / [21.8]
sin x = 18.35 / 21.8
sin x = 0.8417
x = arc sin (0.8417)
x = 57.32°
Thus, the angle formed at the center by CD is:
2 x 57.32 = 114.64°
Therefore, the arc CD is: 114.64°
Answer:
The arc CD would be 114.6°
We use- sin x = opposite / hypotenuse
In the problem the opposite side of angle x = 36.7/2 and the hypotenuse = 21.8
So:
sin x = [36.7/2] / [21.8]
sin x = 18.35 / 21.8
sin x = 0.8417
x = arc sin (0.8417)
x = 57.32°
So the angle formed at the center by CD would have to be 2 x 57.32 = 114.64°
BUT, it says to round to the nearest tenth, so the answer would therefore, the arc CD is: 114.6°
The rectangle can be made into a hollow cylinder with height 40cm and radius 1.910cm.
a) calculate the volume of this cylinder.
Answer:
458.45 cm³
Step-by-step explanation:
Volume of a cylinder is A = πr²h.
A = π(1.910)²(40)
A = 458.43 cm³
A set of equations is given below:
Equation S: y = x + 9
Equation T: y = 2x + 1
Which of the following steps can be used to find the solution to the set of equations? (4 points)
x = 2x + 1
x + 9 = 2x
x + 1 = 2x + 9
x + 9 = 2x + 1
Elena went 60 meters in 15 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster?
Answer:
Noah went faster.
Step-by-step explanation:
Elena: 60 divided by 15 = 4
Noah: 50 divided by 10 = 5.
5 meters per second is greater than 4 meters per second, making Noah faster than Elena.
Complete the table for
y = x/4 -1
Answer:
X Y
0 -1
2 -0.5
4 0
6 0.5
8 1
Step-by-step explanation:
I hope i got that right