Answer:
The amount is $18548.38 and the interest is $2548.38
Steps for solution:
First you want to use the formula A=P(1+[tex]\frac{r}{n}[/tex])^n*t. A= total amount, P= principle or amount of money deposited, r= annual interest rate, n= number of times compounded per year. and t= time in years. In the problem we have P= $16000, r= 3%, n= 1 and t= 5 years. The first picture is the formula used to find the total amount. After we use the formula A=P+I, since A=18548.38 and P=16000. The second picture represents the interest after 5 years.
Find g(x), where g(x) is the reflection across the y-axis of f(x)= –9|x–10|+1.
Answer:
To reflect a graph, f(x) over the x-axis, you take -f(x).
So if f(x)=x^2, then -f(x) is -x^2.
Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.
Step-by-step explanation:
write a formula, including units, for the surface area.
Answer:
plz mark me as a brainliest plz
Factor out the coefficient of the variable term.
4x - 20
Factored expression:
Answer:
[tex]4(x-5)[/tex]
Step-by-step explanation:
The expression 4x - 20 has the greatest common factor (GCF) of 4.
[tex]4x-20\\4(x-5)[/tex]
Therefore, the factored expression is 4(x - 5).
The coefficient of the variable for the expression 4x - 20 is found as 4.
What is defined as the coefficient of the variable?A coefficient is just an integer that is either written alongside or multiplied by a variable. A coefficient, in other words, is the numerical factor of the a term containing constants and variables. For example, the coefficient in the term 12x is 12.For the given question,
The expression is given as;
4x - 20
where,
4 is the coefficient of the variable of the expression.
-20 is the constant in the expression.
Thus, the coefficient of the variable is found as 4.
To know more about the coefficient of the variable, here
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maria buys 2 dozen pens at $7.20 a dozen. she then sells the pens at 80c each. calculate her profit
PLEASE HELP I NEED THIS NOW. 20 POINTS & ILL MARK BRAINLIEST
Find the measures of the complementary angles that satisfy each case:
The measure of the first angle is 40 degrees less than the measure of the second
9514 1404 393
Answer:
25°, 65°
Step-by-step explanation:
Essentially, you want two angles that have a sum of 90 degrees and a difference of 40 degrees.
The smaller is half the sum less half the difference: 90/2 -40/2 = 45 -20 = 25.
The larger is half the sum plus half the difference: 90/2 +40/2 = 45 +20 = 65.
Of course, once you know either value, you can add or subtract the difference (as needed) to find the other value.
The two angles are 25° and 65°.
_____
Additional comment
There are many ways you can arrive at this conclusion. Algebraically, we can write ...
a+b = sum
a-b = difference
Adding these two equations gives ...
2a = sum +difference
Multiplying by 1/2, we get ...
a = 1/2sum +1/2difference . . . . . . as described above
Subtracting the difference gives ...
b = a -difference = 1/2sum -1/2difference
Line with a slope of -1/4 and containing. (4,-3)
Answer:
y = -1/4x - 2
Step-by-step explanation:
y = -1/4x + b
-3 = -1/4(4) + b
-3 = -1 + b
-2 = b
A farmer has 1804 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is required along the river, find the dimensions of the fenced
area that will maximize the area. What is the maximum area?
What is the length of the fenced area?
Answer:
length: 601 1/3 area: 361601 7/9
Step-by-step explanation:
the maximum area would be a square, and we only need 3 sides, so we can divide the amount of fencing by 3
1804/3=601 1/3
the length is 601.(3)
square to find the area
(1804/3)^2
361601 7/9
area is 361601 7/9
Choose the scientific notation for 0.01.
O 1x 10-4
O 1x 103
O 1x 10-2
O 1x 101
Answer:
1×10-2
Step-by-step explanation:
10-2 = 1÷100 =0.01×1 = 1× 10-2
n) Using the given information, determine the medal category in which the United States far outperformed its closest competitor. Show your working to justify your answer.
The medal category in which the United States far outperformed its closest competitor is the gold medal category.
In order to determine which medal category the United States far outperformed its closest competitor, we need to determine the difference in the medals gotten by the United States and its closest competitor for each medal category. The medal category with the largest difference is the correct answer.
Gold medal
Medals US got = 1022
Medals the closest competitor had = Soviet Union = 440
Difference = 1022 - 440 = 582 medals.
Silver medals
Medals US got = 794
Medals the closest competitor had = Soviet Union = 357
Difference = 794 - 357 = 437 medals
Bronze medals
Medals US got = 704
Medals the closest competitor had = Germany = 349
Difference = 704 - 349 = 355 medals
Please find attached the table containing information used to answer this question. A similar question was answered here: https://brainly.com/question/18257586?referrer=searchResults
What is the sum of the roots of the quadratic equation x²+6x-14=0?
Sum of Roots = ___ Product of Roots = ____
Answer:
Sum of Roots = (-8) Product of Roots = (-84)Step-by-step explanation:
[tex] {x}^{2} + 6x - 14 = 0[/tex]
Roots :- 6 and -14
Sum of the roots :
[6 + (-14)]
= (-8)//
Product of the roots :
[(6)(-14)]
= (-84)//
if a system of equations have no solution, what does the graph look like?
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 100 m long and 60 m wide.
Find the area of the training field. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Step-by-step explanation:
given,
length = 100 m
breadth = 60 m
we know,
area = l × b
now,
100 × 60 = 6000 m
therefore, area of rectangular field is 6,000 m.
and for both the semicircle if we add both the semicircle we will get a complete circle.
as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m
we know,
Area = πr²
now,
→ 3.14 × 30²
→ 3.14 × 900
→ 2826 m
so,
area of rectangle + area of circle = area of the training field.
→ 6000 + 2826 = 8826.
therefore, area of training field is 8,826 m.
hope this answer helps you dear...take care and may u have a great day ahead!
Answer:
8826 m²
Step-by-step explanation:
The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )
area = area of rectangle + area of circle
= lb + πr² ( r = 60 ÷ 2 = 30 )
= (100 × 60) + (3.14 × 30²)
= 6000 + (3.14 × 900)
= 6000 + 2826
= 8826 m²
Graph the line that passes through the points (-3, -5)(−3,−5) and (-6, -3)(−6,−3) and determine the equation of the line.
Help me please help me help please
Answer:
4
Step-by-step explanation:
-4/-1 = 4
What is 4 times 4 and 5555 times 8999989
Answer:
4 *4 = 16
16 * 5555 = 88880
88880 * 8999989 = 799919022320
Brainliest :D
Step-by-step explanation:
Answer:
49994938911
Step-by-step explanation:
(4times4)(5555times8999989)
a. Complete the table to chart his calorie expenditure for different amounts of time.
Time (minutes)
to
5
45
30
120
20
80
75
15
Calories Burned
to
20
9
b. Plot the table of values on the graph.
X/
x9
400f%
300
Calories Burned
200
100
20
10 20 30 40 50 60 70 80 90 100
Time (minutes)
Answer:
you are missing the values; 25, 50, 90, and 105
Solved by using - Guv=8piG(Tuv+P^Guv)
Culver has 1 quarter, 3 dimes and 1 penny. How much money does he have
Answer:
56 cents
Step-by-step explanation:
1 quarter = 25 cents
3 dimes = 30 cents
1 penny = 1 cent -_-
25 + 30 + 1 = 56
1.
D x y
a dxdy
2
S D r 4 .
Answer:
ok
Step-by-step explanation:
ok fjFjxggkgclclcchlclcullcucuclcvuullulj
like a good neighbor...........?
Answer:
state farm is there!
Step-by-step explanation:
state farm is there............?
Rashawn read 25 pages of his book each day until he finished the book. his book was 400 pages long. which sketch represents this situation?
Answer:
It took 16 days
Step-by-step explanation:
400/25=16
Help!!!!!! I'll give you brainliest!!!
Which of the following is the correct interpretation of 2?
In a statistics class, a teacher had the students
complete an activity in which they grabbed as many
bite-sized pretzels as they could with their dominant
hand, without crushing them. The teacher then
measured their handspan in centimeters. A regression
analysis was completed and the value for was
52.1%
* About 52.1 percent of the variation in handspan is
accounted for by the linear relationship formed with
the number of bite-sized pretzels grabbed with the
dominant hand.
About 52.1 percent of the variation in number of
bite-sized pretzels grabbed with the dominant hand
is accounted for by the linear relationship formed
with handspan
About 47.9 percent of the variation in handspan is
accounted for by the linear relationship formed with
the number of bite-sized pretzels grabbed with the
dominant hand
About 72.1 percent of the variation in number of
bite-sized pretzels grabbed with the dominant hand
is accounted for by the linear relationship formed
with handspan
Answer:
B
Step-by-step explanation:
EDGEN
Answer:
B. About 52.1 percent of the variation in number of bite-sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan.
Step-by-step explanation:
(0,3) and (2,4) are on the line
help for brainliest also 30 points
[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)
[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]
[tex]\\ \sf\longmapsto 6x-4x=56[/tex]
[tex]\\ \sf\longmapsto 2x=56[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]
The ratio of boys to girls in math is 9 to 12. Write this ratio to girls in simplest form as a fraction.
Answer:
3/4
Step-by-step explanation:
you can make it into a fraction just putting it like this 9/12
well 12 - 9 = 3
so we divide by it
9÷3 = 3
12÷3 = 4
lastly you put these as a fraction
3/4
I hope this helps :)
Please answer both of them questions please no links or you will be reported
If Cindy uses 1
1/2 cups of sugar to make 2 pints of Kool-aid, how much sugar would she need for 5 pints of Kool-aid?
Answer: 3.75
Step-by-step explanation:
5/2=2.5
1 1/2 = 1.5
1.5*2.5=3.75
What kind of question is this? To say you are in college...
PLS HELP AND DONT PUT LINKS
Explain how to graph a scatterplot and its regression line using a regression calculator
before you enter the data into the regression calculator, decide which variable should be on x and y axis. then enter the data pairs. press the linear regression button to create the regression line
Which equation represents a line which is parallel to the line Y= 1/2 X +3 1. y-2x=-5 2. 2x+y=-6 3. x-2y=2 4. x+2y=4
Answer:
x-2y=2.
Step-by-step explanation:
1) if to re-write all the given equations of the lines, then
y=2x-5; y=-2x-6; y=1/2x-1; y= -1/2x+4.
2) y=1/2x-1 only is parallel to the given y=1/2x+3.
The value of A is -6. The difference between A and C is 6. Type all possible values of C.
Answer:
-12, 0
Step-by-step explanation:
A= -6
If A-C = 6 then, A-6=C
-6-6 =C
C= -12
or C-A =6
C=A+6
C= -6+6
C=0