After 14 years, the investment will be worth $ 2,306.72.
Given that an investment has a $ 1000 principal, 6% annual interest, 6 interest periods and 14 years of investment, to determine, after 14 years, how much the investment will be worth, the following calculation must be performed:
1000 x (1 + 0.06 / 6) ^ 14x6 = X 1000 x 1.01 ^ 84 = X 1000 x 2.3067 = X 2,306.72 = X
Therefore, after 14 years, the investment will be worth $ 2,306.72.
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Tropical dried fruit costs $1.50 per pound and regular dried fruit costs $0.90 per pound. You want to create a mixed bag of tropical dried fruit and regular dried fruit that is worth $1.30 per pound. How many pounds of tropical dried fruit do you need if you have already purchased 50 pounds of regular dried fruit?
t = total amount of lbs of Tropical dried fruit
m = total amount of lbs of mixed bag
[tex]\begin{array}{lcccl} &\stackrel{fruit}{lbs}&\stackrel{per~lb}{price}&\stackrel{total}{price}\\ \cline{2-4}&\\ \textit{tropical fruit}&t&1.50&1.5t\\ \textit{regular fruit}&50&0.90&45\\ \cline{2-4}&\\ \textit{mix bag}&m&1.30&1.3m \end{array}~\hfill \begin{cases} t+50=m\\ 1.5t+45=1.3m \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{substituting on the 1st equation}}{1.5t+45=1.3\stackrel{m}{(t+50)}}\implies 1.5t+45=1.3t+65\implies 0.2t+45=65 \\\\\\ 0.2t=20\implies t=\cfrac{20}{0.2}\implies \boxed{t=100}[/tex]
Lella will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $46 and costs an additional $0.14 per mile driven. The
second plan has an initial fee of $51 and costs an additional $0.10 per mile driven
Need help asap algebra 1
Answer:
Charlie is walking to the stadium. He has to wait for the traffic to stop, so he can cross the street. The light turns red and he is able to cross. He makes it to the stadium.
Step-by-step explanation:
hope this helps!!
Answer:
Charlie began walking and continued at a speed of 4 mph for 24 minutes. Then he stopped walking and took an 8-minute rest. He then walked for 16 minutes at a constant speed of 4 mph. Finally, Charlie slowed his pace down but kept walking for another 16 minutes.
There are 400 bricks used to build a wall that's 15 feet high. How many bricks will be used to build a wall that's 36 feet high?
There are 300 students in the 6th grade class. 252 of the students have received dragon
tickets. What is this as a percent?
The percentage of students in the 6th grade class that have received dragon tickets is 84%.
Given the following data:
Total number of students = 300 studentsNumber of students with dragon tickets = 252 studentsTo determine the percentage of students in the 6th grade class that have received dragon tickets:
A percentage is used to describe or represent a portion of a given population or total number of something.
Mathematically, the percentage for the given number of students is:
[tex]D = \frac{Students}{Total\;students} \times 100\\\\D = \frac{252}{300} \times 100\\\\D=0.84\times 100[/tex]
D = 84%
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I want a way to solve such a problem
Answer:
none of these is the answer
hope it helps you
Step-by-step explanation:
Hope it will help you...
What is 50 million + 32 hundred thousands + 41 hundred
Answer:
82041000
Step-by-step explanation:
50,000,000 + 32,000,000 + 41,000
Help please , need answer ASAP
Answer:
(fg)(9) = 948
Step-by-step explanation:
(fg)(9) = f(9)×g(9) = (9 +3)(9^2 -2) = (12)(79)
(fg)(9) = 948
When a number is divided by 5, it has a remainder of 4.
The number is between 35 and 40.
What is the number?
Answer:
37
Step-by-step explanation:
I plugged in the numbers between 35 and 40 and got this. No problem. :)
2+6i/2-4i = a + bi What is the value of a? What is the value of b?
[tex]\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1[/tex]
determine the intercepts of the line
Answer:
y- (0,2.5) x-(3.5,0)
Step-by-step explanation:
This is because the intercepts of a graph are the points at which a line intersects with a desired axis. So for the Y axis the inercept would be at 2.5 making the y intercept (0,2.5). The same concept is used on the X axis.
I need Help Asapp
Please!!!!!!!!!!!!!!!!!!
Answer:
i know it is C last year i took that quiz and well i studied /j
Step-by-step explanation:
The difference between two numbers is 8. if 2 is added to the bigger number the result will be three times the smaller number. Find the numbers.
Answer:
The bigger number is 13 and the smaller number is 5
what is the answer to this question?
posted a picture for better understanding:)
Answer:
5
Step-by-step explanation:
Usually, the sequence is [tex]a_{1}, a_{2}, a_{3}, a_{4}, ..., a_{n}[/tex] where n is a postive number.
From the question,
[tex]a_{n} = a_{n-1} - 5[/tex]
if n = 2 ;
[tex]a_{2} = a_{1} - 5[/tex]
[tex]a_{2} = 20 - 5 = 15\\[/tex]
Thus, we got [tex]a_{2} = 20[/tex].
if n = 3 ;
[tex]a_{3} = a_{2} - 5[/tex]
[tex]a_{3} = 15 - 5 = 10[/tex]
Thus, we got [tex]a_{3} = 10[/tex].
if n = 4 ;
[tex]a_{4} = a_{3} - 5[/tex]
[tex]a_{4} = 10 - 5 = 5[/tex]
Thus, we got [tex]a_{4} = 5[/tex].
***There are many ways to solve this question
example:
[tex]a_{n} = a_{n-1} - 5[/tex]
[tex]a_{n} - a_{n-1} = - 5[/tex]
Substitute n with 2, 3, 4
Then, we will get 3 equations.
Sum them up;
We will get
[tex]a_{4}-a_{3}+a_{3}-a_{2}+a_{2}-a_{1} = -15\\a_{4}-a_{1} = -15\\a_{4} = -15+20 = 5[/tex]
I have a red, blue, green, and yellow ball. If I put them all in a bag and pick one ball at a time (putting it back each time), what chance do I have of never picking a red ball, assuming I pick a color 40 times. Write as a decimal/percentage. (20 points! A good answer would be appreciated)
Answer:
Step-by-step explanation:
You have four balls
A draw of blue, green or yellow (3 balls) means success for NOT drawing a red ball
You have a 3 in 4 chance of not drawing a red ball on the first draw.
With replacement, the 3 in 4 chance occurs on every draw
the odds multiply together for each draw.
Chance of not drawing a red ball in 40 tries is (3/4)⁴⁰
or about 1 in 10⁻⁵ or 0.00001
in a survey of 500 voters 430 said they would vote for the same candidate again what percent of the votes would vote the same way again
22% of x is 26.4 Find X
Answer:
x=120
Step-by-step explanation:
this is obtained by finding 22% of x, and equating it to the answer as shown below
x *22/100 = 26.4
22x/100 = 26.4
22x = 2640
x =120
The ratio of the distances a driver and a 2-iron will drive a
golf ball is 5 to 4. If a golfer averages 240 yards with a 2-
iron, how far should she average with a driver?
The average distance is 300 yards
How to determine the average distance?The ratio is given as:
Driver : 2-iron = 5 : 4
When the iron driver is 240 yards, we have:
Driver : 240 = 5 : 4
Express as fraction
Driver/240 = 5/4
Multiply both sides by 240
Driver= 300
Hence, the average distance is 300 yards
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#SPJ1
In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the area of the trapezoid if AC = 3, AD = 5.
Answer:
10.5
Step-by-step explanation:
A=a+b
2h=2+5
2·3=10.5
Answer:
solution given:
let's see only in a right-angled triangle Δ ACD.
AC=3 units
AD=5 units
since Δ ACD is a right-angled triangle. It satisfies Pythagoras law
[tex]AD^{2}=AC^{2}+CD^{2}[/tex]
25=9+[tex]CD^2[/tex]
[tex]CD^2[/tex]=25-9=16
[tex]CD=\sqrt{16} =4 units[/tex]
Now
Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]
similarly,
[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]
since AB=CE=2.4 units
Δ ACE is a right-angled triangle. It satisfies Pythagoras law.
[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]
now
area of trapezoid=area ofΔACD+Area of ΔABC
=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]
Step-by-step explanation:
The simplified equation after clearing the decimals is
-12.2 + 2.8w - 8.8 = 1.05w
Answer:
-21=-4w
w=5.25
but you don’t want decimals
so- you round down
w=5
Step-by-step explanation:
You combine like terms, and then make sure your variable is alone, the only way to get it alone from a ”mixed number” is to divide
you do the same thing to both sides
so divde each side by -4
-21/-4 = 5.25
or with it rounded down since it’s under a five
It’s 5 with the decimals removed
i hope this helps
PrOblem 1: Find the slope of the line containing the points: (3,-5) and (-1, -2)
Problem 2: Find the x and y intercepts of the line: 2x – 3y = 12
Problem 3: Graph the line x-4y=8
Answer:
1) -3/4
2) (6, 0), (0, -4)
3) connect (0,-2) and (8,0) together
Step-by-step explanation:
1) (-2) - (-5) / (-1) - 3 = -3/4
2) x = 0 -3y=12 y = -4, y= 0 2x = 12 x = 6, x intercept = (6, 0) y intercept = (0, -4)
3) x - 4y = 8 this could be written as y = x/4 - 2 and y intercept is (0, -2) and x intercept is (8, 0) so connect these points together and make a line
#1
m=y2-y1/x2-x1m=-2+5/-1-3m=3/-4#2
Inetercept form x/a+y/b=1
2x-3y=122/12x-3/12y=12/12x/6-y/4=1x inetercept at 6 and y intercect at -4
#3
Graph attached
Find the period of the function y=3/2 tan(1/3^x)
A) π/3
B) π/6
C) 3 π
D) π
Determine if the two triangles are congruent. If they are, state how you know
Answer:
yes the two triangles are congruent by the SSS theorum.
Step-by-step explanation:
it is given that two of the sides are congruent. they also share a side making that side also congruent. so, all three sides are equal, making the two triangles congruent by SSS/side-side-side theorum.
given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2
Answer:
16
Step-by-step explanation:
1) Plug x=1 into equation
f(x) = -2(1)²+4(1)+6
f(x) = -2²+4+6
f(x) = 4+4+6
y = 14
(1,14)
2) Plug in x=2 into equation
f(x) = -2(2)²+4(2)+6
f(x) = -4²+8+6
f(x) = 16+8+6
y = 30
(2,30)
3) Use slope formula ([tex]\frac{y2-y1}{x2-x1}[/tex])
[tex]\frac{30-14}{2-1}[/tex]
[tex]\frac{16}{1}[/tex]
16
Use the drawing tools to form the correct answer on the graph.
What is the inverse of the function shown?
Click on a tool to begin drawing.
Delote
Undo
Reset
Drawing Tools
Select
iz
Point
10
Line Segment
8
6
4
2
x
6
-10
-8
-6
-4
-2
2
6
8
10
2
Answer:
i need to know this one fast i cant get past this mastery test
Step-by-step explanation:
The inverse of a function is the opposite of the function
From the graph, we have the following ordered pairs
(5,0), (8,3) and (2,-3)When the (x,y) coordinates are rewritten as (y,x), we have the following ordered pairs
(0,5), (3,8) and (-3,2)This means that the inverse of the function passes through the above points
See attachment for the graph of the inverse function
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14. Provide a written description of the complement of the given event.
of ten adults, at least one of them has high blood pressure.
None of the adults have high blood pressure.
At most one of the adults has high blood pressure.
All of the adults have high blood pressure.
Nine of the adults have high blood pressure
Answer:
At most one of the adults has high blood pressure.
Step-by-step explanation:
A line has a slope of and passes through the point (4, 7). What is its equation in
slope-intercept form?
Answer:
y = (7/4)x + 0
Step-by-step explanation:
yeah-ya....... right?
Which that is that could be represented by the plot chart shown below?
Answer:
24 25 26 27 28 29 30 31 32 33 34
Step-by-step explanation:
Who are you favorite male country singers?
Answer:
kanye west
Step-by-step explanation:
Integer Exponents
#1: Simplify the expression below using properties of exponents. Write your
answer using positive exponents. *
5-2
Answer:
Step-by-step explanation:
5 - 2 cannot be further simplified? No properties of exponents can be used due to already knowing the answer of the top of your head, it could be a mistype though, or I'm just very very d*mb.