Hunter invested $750 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded continuously. London invested $750 in an account paying an interest rate of 6\tfrac{1}{2}6 2 1 % compounded daily. After 18 years, how much more money would Hunter have in his account than London, to the nearest dollar?
Answer: $ 55
Step-by-step explanation:
When interest is compounded continuously, the final amount will be
[tex]A=Pe^{rt}[/tex]
When interest is compounded daily, the final amount will be
[tex]A=P(1+\dfrac{r}{365})^{365t}[/tex]
, where P= Principal , r = rate of interest , t = time
For Hunter , P= $750, r = [tex]6\dfrac{5}{8}\%=\dfrac{53}{8}\%=\dfrac{53}{800}=0.06625[/tex]
t = 18 years
[tex]A=750e^{0.06625(18)}=\$2471.48[/tex]
For London , P= $750, r = [tex]6\dfrac{1}{2}\%=\dfrac{13}{2}\%=\neq \dfrac{13}{200}=0.065[/tex]
t = 18 years
[tex]A=750(1+\dfrac{0.065}{365})^{18(365)}=\$2416.24[/tex]
Difference = $ 2471.48 - $ 2416.24 =$ 55.24≈$ 55
Hence, Hunter would have $ 55 more than London in his account .
In the trapezoid below, x = [ ? ].
2x+6
I
5x=20
4r+2
Answer:
x = 12
Step-by-step explanation:
To get the value of x, we use the mid-segment theorem of trapezoid
The theorem is that the mid-segment is half the sum of the other two segments
We have this as
;
5x - 20 = 1/2(2x + 6 + 4x + 2)
2(5x-20) = 6x + 8
5x -20 = 3x + 4
5x -3x = 4 + 20
2x = 24
x = 24/2
x = 12
-3x + 4 > 25 explain the steps needed to solve the inequality.
Answer:
x < - 7
Step-by-step explanation:
Given
- 3x + 4 > 25 ( subtract 4 from both sides )
- 3x > 21
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
x < - 7
h e l p please. can't solve
Answer:
[tex] \frac{1}{2} 3 \\ [/tex]
Step-by-step explanation:
Your welcome
What is the equation of the following are you sure to scroll down first to see all answer options
Answer:
Y=-3x+0 or Y=-3x
Step-by-step explanation:
Y=mx+b
m=slope
b=y-intercept (where the line crosses the y axis)
The line crosses the Y axis at (0,0), so:
Y=mx+0 or
Y=mx
Slope:
Rise/run= Change in y/Change is x= 9/-3=-3
So:
Y=-3x+0 or
Y=-3x
Answer: 3x + y = 0
Step-by-step explanation: Remember that slope is represented by
rise over run from one point to the next on our graph.
To get from the point (0, 0) to (3, -9), we go down -9 units
so our rise is -9 and we run 3 units so our run is 3.
Our slope therefore or m = -9/3 or -3.
Our y-intercept is represented by the point where this line
crosses the y-axis which in this case is up 0 units.
So our y-intercept or b = 0.
Since we have the slope and y-intercept of our line,
we can now write its equation in y = mx + b form.
Since m = -3 and b = 0, that gives us y =-3x + 0.
Now we convert this equation to standard form.
Just add 3x to both sides to get 3x + y = 0.
So the equation of this lie is 3x + y = 0.
Use intercepts to graph the linear equation -2x+7y=-21 Question 2
Identify the points corresponding to the intercepts
Answer:
The point representing the y-intercept is: (0, -3)
The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.
The point representing the x-intercept is: (10.5, 0)
The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5
Step-by-step explanation:
Given the linear equation
-2x+7y=-21
Determining the y-intercept
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
substituting x = 0 in the equation
-2x+7y=-21
-2(0) + 7y = -21
0+7y = -21
7y = -21
divide both sides by 7
7y/7 = -21/7
y = -3
Therefore, the point representing the y-intercept is: (0, -3)
The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.
Determining the x-intercept
We know that the value of x-intercept can be determined by setting y = 0, and determining the corresponding value of x.
substituting y = 0 in the equation
-2x+7y=-21
-2x+7(0) = -21
-2x + 0 = -21
-2x = -21
divide both sides by -2
-2x / -2 = -21 / -2
x = 21/2
x = 10.5
Therefore, the point representing the x-intercept is: (10.5, 0)
The graph of the linear equation containing the y-intercept (0, -3) and x-intercept (10.5, 0) is shown and attached below.
The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5
Please check the attached graph.
Hi so i have a test tmmr about proportional relationship can anyone help me by chance at 1:40
Morgan is trying to complete the square. What number should she put in the blank?
A) -9
B) 18
C) 81
D) -81
Answer:
C. 81
Step-by-step explanation:
x^2-18x+81
(x-9)(x-9)
You earn $60 for mowing 5 lawns. How much do you earn for mowing 15 lawns ?
for 15 lawns
Answer:
It is $180
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
PLEASE HELP!!!! Which equation describes this line?
10
(1,9)
6-2,3)
O A. Y-3 = 2(x - 2)
B. y - 9 = 2(x - 1)
O C. y - 1 = 2(x - 9)
D. y-2 = 2(x - 3)
Answer:
y- 9 = 2 (x -1)
Step-by-step explanation:
find the measure of the missing angle
Step-by-step explanation:
given
as it is right angled triangle so
Let the unknown angle be x Then
90° + 40° + x = 180° ( being sum of angles of triangle)
130° + x = 180°
x = 180° - 130°
Therefore x = 50°
Hope it will help you :)❤
Answer:
The other angle will be 50°.
Step-by-step explanation:
Given that the diagram shows a right angle triangle (90°) and the total sum of angles of a triangle is 180°. In order to find the other angle, you have to subtract :
x + 40° + 90° = 180°
x + 130° = 180°
x = 180° - 130°
x = 50°
HURRY
Which is the largest ratio?
StartFraction 5 Over 36 EndFraction, 2:9, 3 to 18, 1:3
StartFraction 5 Over 36 EndFraction
Image with alt text: StartFraction 5 Over 36 EndFraction
2:9
2:9
3 to 18
3 to 18
1:3
1:3
Answer:
D: 1:3
Step-by-step explanation:
I took the test and got it right
Aiden shaded numbers in the addition table. Which statement tells what the
shaded numbers show?
+
0
1
2
3
4
5
0
0
1
2
3
4
5
1
1
2
3
4
5
6
2
2
4
5
6
7
3
3
U A w
5
6
7
8
4
4
6
7
8
9
5
5
6
7
8
9 10
15)
The sum of an odd number and an
even number is an odd number.
The sum of an odd number and an
even number is an even number.
The sum of two even numbers is an
even number.
The sum of two odd numbers is an
even number.
The statement that tells what the shaded numbers show is (d) The sum of two odd numbers is an even number.
How to interpret the shaded numbers?From the figure, we can see that the shaded numbers are even numbers.
While the row and column number of the shaded numbers are odd numbers
This means that two odd numbers add up to an even number
Hence, the statement that tells what the shaded numbers show is (d)
Read more about numbers at:
https://brainly.com/question/251701
#SPJ2
can someone please help me !!!!!!
Answer:
Slopes are= 3/2, 6, -6, -1, 1/2, 1
Vertical Intercepts are= (0,5), (0,6), (0,8), (0,7), (0,-10), (0,0)
Equations= y= -6x+8 y= 1/2x-10
Step-by-step explanation:
Hope it helped!!
Washington High School has a total of 625 students. There are 250 girls in the school. What is the ratio of girls to boys at Washington High School?
A) 2:3
B) 2:5
C) 3.1
D) 3.2
Answer:
B)
Step-by-step explanation:
625:250=2.5
so i think it is B
Answer:
A 2:3
Step-by-step explanation:
625-250= 375 which is the number of boys in the school now it's 375 and 250
250:375
= 250/375
Dividing by 5/5, we have,
50/75
Again, Dividing by 5/5, we have,
10/15
Again, Dividing by 5, we have,
2/3
Hence, the ratio 250:375 in the simplest form will be 2:3
-X + 5 + 3x = 4 + 2x + 1
Answer;
its answer is 0.
Step-by-step explanation:
-X+5+3X=4+2X+1=-X+3X-2X+5-4-1=-3X+3X+5-5=cut -3X+3Xand +5-5=answer is 0solve the linear equation 1/5(10x-20)=x-3
Answer:
x=1
Step-by-step explanation:
1/5(10x-20)=x-3
2x-4=x-3
2x-x=4-3
x=1
Answer:
The value of x is 1 after solving the linear equation.
Step-by-step explanation:
Given equation is:
[tex]\frac{1}{5}(10x-20)=x-3[/tex]
We will solve the equation by simplifying first.
[tex]\frac{1}{5}*10x-\frac{1}{5}*{20}=x-3\\2x-4=x-3[/tex]
Now, we will subtract x from both sides of the equation,
2x-x-4 = x-x-3
x-4 = -3
Next, we will add 4 on the both sides of the equation,
x-4+4 = -3+4
x = 1
Hence,
The value of x is 1 after solving the linear equation.
Hosea borrowed $20,000 to buy a new speed boat. The interest rate on his loan is 5%. If he plans to pay the loan back in three years, how much interest will he pay? What will be the total cost that he will owe including interest?
Answer:
a. Interest amount is $3,000.
b. Total cost is $23,000.
Step-by-step explanation:
a. How much interest will he pay
This can be calculated as follows:
Interest amount = Principal loan Amount * Interest rate * Number of years ........ (1)
Where;
Principal loan Amount = $20,000
Interest rate = 5%
Number of years = 3
Substituting the values into equation (1), we have:
Interest amount = $20,000 * 5% * 3 = $3,000
b. What will be the total cost that he will owe including interest?
Total cost = Principal loan Amount + Interest amount = $20,000 + $3,000 = $23,000
please help me please will give brainliest to anyone
Answer:C
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
line v has a slope of - 5/2. line w has a slope of - 2/5. are line v and line q parallell, perpendicular, or neither?
Answer:
neither
Step-by-step explanation:
Parallel lines need to have the same slope.
Perpendicular lines have opposite reciprocal slopes.
-5/2 and -2/5 are opposite reciprocals nor are they equal.
A cell phone plan costs $200 to start. Then there is a $50 charge each month
What is the label for the y axis?
Answer:Depending on how high u do it either by 0,25,50 or 0,50,100
Step-by-step explanation:
12
13
13
14
10.954
Find volume
Answer:
311005.968^2
im pretty sure that is it
Help please lol anyoneeee
Ms. Fry started walking as her New Year's resolution. She calculated that she can walk ½ mile in ¼ of an hour. What is her walking rate in miles per hour?
Answer:
the walking rate miles per hour is 2 miles per hour
Step-by-step explanation:
The computation of the walking rate miles per hour is shown below;
Given that
She can walk half mile in one-fourth of an hour
= Miles ÷ hours
= (1÷ 2) ÷ (1 ÷4)
= 0.50 ÷ 0.25
= 2 miles per hour
Hence, the walking rate miles per hour is 2 miles per hour
The same is considered
im traing to make sure
Simplify the expression below.
45 × 43
A.
45
B.
48
C.
415
D.
1615
Answer:
1935 that's the answer when u simplify it
What is the slope of the line passing through the points (-1, 3) and (4, -7)?
A: -2
B: -4/3
C: 2
D: 3/4
Answer:
-7-3/4+1= -2
Hence its A
What's the expression that is equal to (9x+ 3) - (5x-7)
Answer:
4x+10
Step-by-step explanation:
Answer: 4x + 10
Step-by-step explanation:
(9x + 3) - (5x - 7)
Distribute
9x + 3 - 5x + 7
Combine like terms
4x + 10
4x + 10 is the simplified version of the original expression so they're equivalent.
Edit: I made a mistake at first, then changed it to the right one. This one is correct. :)
A mechanic charges $43 per hour for labor and $217 for parts. The total bill is $432. How
many hours did the mechanic work?
Answer:
5 hours
Step-by-step explanation:
217+43+43+43+43+43=432
PLEASE HELP WITH THE FIRST 3 parts
Answer:
a) x = -2+√3 and -2-√3
b) x = -1 + 2√3/3 and -1 - 2√3/3
c) x = 3.185 and 0.315
Step-by-step explanation:
To solve the following quadratic equation, we will use the general formula
x = -b±√b²-4ac/2a
a) x²+4x+1 = 0
a = 1, b = 4 and c = 1
Substitute into the formula
x = -4±√4²-4(1)(1)/2(1)
x = -4±√16-4/2
x = -4±√12/2
x = -4±2√3/2
x = (-4+2√3)/2 and (-4-2√3)/2
x = -2+√3 and -2-√3
b) 3x²+6x-1 = 0
a = 3, b = 6 and c = -1
Substitute into the formula
x = -6±√6²-4(3)(-1)/2(3)
x = -6±√36+12/6
x = -6±√48/6
x = -6±4√3/6
x = (-6+4√3)/6 and (-6-4√3)/6
x = -1 + 2√3/3 and -1 - 2√3/3
c) 2x² - 7x + 2 = 0
a = 2, b = -7 and c = 2
x = -(-7)±√(-7)²-4(2)(2)/2(2)
x = 7±√49-16/4
x =7±√33/4
x = 7±5.74/4
x = 7+5.74/4 and 7-5.74/4
x = 12.74/4 and 1.26/4
x = 3.185 and 0.315
HELP PLEASE
In ΔPQR, = 36 cm, = 21 cm and =17 cm. Find the measure of ∠Q Round to the nearest tenth
Answer:
Step-by-step explanation: