Answer:
3+2i, 3-2i
Step-by-step explanation:
no rational solutions
if you use quadratic formula you get (6±[tex]\sqrt{-4}[/tex])÷2
First National Bank is offering 4.25% interest on an account. Susan makes an
initial deposit of $20,000. Calculate the interest camed over 20 years if the
bank...
a) Calculates the interest using simple interest (I -- Prt).
b) Calculates the interest using compound interest compounded annually.
c) Calculates the interest using compound interest compounded quarterly.
d) Calculates the interest using compound interest compounded monthly.
The simple interest earned is $17,000.
The interest earned with annual compounding is $25,978.13.
The interest earned with quarterly compounding is $26,583.59.
The interest earned with monthly compounding is $26,722.72.
The formula that can be used to determine simple interest is: principal x time x interest rate
$20,000 x 20 x 0.0425 = $17,000
The formula that can be used to determine the interest earned with compounding is: Future value - amount invested.
The formula that can be used to determine future value is:
FV = P (1 + r/m)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
Annual compounding = $20,000 x (1.0425)^20 = $45,978.13
Interest earned = $45,978.13 - $20,000 = $25,978.13
Quarterly compounding = $20,000 x (1 + 0.0425/4)^80 = $46,583.59
Interest earned = $46,583.59 - $20,000 = $26,583.59
Monthly compounding = $20,000 x (1 + 0.0425 /12) ^240 = $46,722.72
Interest earned = $46,722.72 - $20,000 = $26,722.72
To learn more about future value, please check: https://brainly.com/question/18760477
what is most likely to be represented by the number -40
Answer:
You tell me the question properly and i will edit this and put answer
Step-by-step explanation:
Until then bye
Answer:
Read Explanation Below
Step-by-step explanation:
So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)
1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.
Find the sum of 12.351 and 0.5362
Find the sum of 12.351 and 0.5362
Answer:-12.351 + 0.5362 = 12.8872
Graph question
f(x)=3/5x-5
two points of function
Step-by-step explanation:
1) plot a point at (0,-5)
2) count 3 units up and 5 units to the right, plot the new point
3) connect the points with a straight line
Ali had 5/7 of a spool of yarn. He used 5/6 of his yarn for a project. What fraction of the spool was used for the project? Write your answer in simplest form.
- Due 11:59 today
- Will mark brainliest
Answer:
Step-by-step explanation:
We have no idea what time zone you are in so hope this gets there soon enough.
Do you mean "What fraction of a FULL spool of yarn did he use?" because he used 5/6 of the spool he had.
IF SO
Then
(5/7)(5/6) = 25/42
That's just under 60% of a full spool would be used to complete the same project again.
Name the triangle as described
Answer:
scalene triangle
Step-by-step explanation:
the 9-dight number that identifies the bank that a check came from is called
Answer:
im pretty sure its the routing number
Step-by-step explanation:
trust me
If Janet earned e extra credit points. Mona earned 32 fewer extra credit points than Janet.
What is the expression that shows how many extra credit points Mona earned?
How many terms are in the expression?
Which expression is equivalent to 3(2t + 6) – 4t?
A. 8t
B. 20t
C. 2t +6
D. 2t +18
HELP PLS
Answer:
b part 20 t or i think c part 2t +6
Simplify. x+y -x²-y²/x-y
6/24 divided by 12/16 show work please
The value when 6/24 is divided by 12/16 is equal to 1/3.
To divide the fraction 6/24 by 12/16, we can simplify the problem by multiplying the first fraction by the reciprocal of the second fraction.
Reciprocal of 12/16 is 16/12.
So, the division can be written as:
6/24 ÷ 12/16 = 6/24 × 16/12
6/24 = (6 ÷ 6) / (24 ÷ 6) = 1/4
16/12 = (16 ÷ 4) / (12 ÷ 4) = 4/3
Now, we have:
1/4 × 4/3
To multiply fractions, we multiply the numerators together and the denominators together:
(1 × 4) / (4 × 3)
= 4/12
The fraction 4/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:
(4 ÷ 4) / (12 ÷ 4)
= 1/3
Therefore, 6/24 divided by 12/16 is equal to 1/3.
To learn more on Division click:
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A. y = 2x
B. y = x ÷ 2
C. y = x – 1
D. y = x + 1
Answer:
D) y = x + 1
Step-by-step explanation:
D is the answer because the slope is 1 and the y-intercept is 1
Find the perimeter of the figure.
[tex]perimeter = 17 + 19 + 7 + 11 + 10 + 8 \\ [/tex]
[tex]perimeter = 72 \: \: cm[/tex]
Pls help I’ll brainlest ASAP
I NEED HELP WITH PRECALC PLEASE
Answer: First question: D, Second question: A
Step-by-step explanation:
Note: I'm not so good at expanding so I'll just solve it :)
So this leaves either C or D
Apply the sum rule:
8-70=-62
The only one that gives a negative sum is D
For the second picture, the one you have chosen is correct
a1 = 3 and r = -5 so:
an = 3/5 * (-5)^n
Plugging in 8 for n (the first choice) we get the given term: -234,375
Answer:
(d) 2 +(-5) +(-12) +... (a) a8Step-by-step explanation:
1.Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.
2 -7n for n=0 is 2 -7·0 = 2
2 -7n for n=1 is 2 -7·1 = -5
The series of the last choice (d) is correct.
__
2.The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...
an = 3(-5)^(n -1)
We want to find n for an = -234,375.
-234375 = 3(-5)^(n-1)
-78125 = (-5)^(n-1)
For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...
78125 = 5^(n -1)
Taking logs of both sides, we get ...
log(78125) = (n -1)·log(5)
log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)
n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate
-234,375 is the 8th term of the sequence.
How many solutions does the system of equation have?
2x + 3y = 9 and y = 2/3x - 2
A.
One solution
B.
Two solutions
C.
Infinitely many solutions
D.
No solutions
Answer:
A. One solution
Step-by-step explanation:
y = 2/3x - 2 has slope of 2/3
2x + 3y = 9
3y = -2x + 9
y = (-2/3)x + 3 has slope of -2/3
lines with different slopes have only ONE intersection
Admission to the zoo costs $15 per person. Which graph correctly represents the total cost for a group to visit the zoo? Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 30), (3, 45), (4, 60), (5, 75), (6, 90), and (7, 105). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 15), (3, 15), (4, 15), (5, 15), (6, 15), and (7, 15). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 16), (3, 17), (4, 18), (5, 19), (6, 20), and (7, 21). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (1, 30), (1, 45), (1, 60), (1, 75), (1, 90), (1, 105).
Admission to the zoo costs $15 per person.
The graph y = 15x correctly represents the total cost for a group to visit the zoo.
Given;
Admission to the zoo costs per person = $15
Let:
The total number of people visiting the zoo = x
The total cost for a group to visit the zoo = y
So, y ∝ x
y = 15x
Therefore, the graph y = 15x correctly represents the total cost for a group to visit the zoo.
Answer:
A
Step-by-step explanation:
Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?
18 divided by StartFraction 2 Over 9 EndFraction = 81
18 times StartFraction 2 Over 9 EndFraction = 4
StartFraction 2 Over 9 EndFraction divided by 18 = StartFraction 1 Over 81 EndFraction
StartFraction 9 Over 2 EndFraction divided by 18 = one-fourth
Answer:
18 times StartFraction 2 Over 9 EndFraction = 4
Amount of almonds = 18 × [2/9]
Amount of almonds = 4 almonds
Step-by-step explanation:
Given:
Number of mixed nuts = 18
Probability of almonds = 2/9
Find:
Amount of almonds
Computation:
Amount of almonds = Number of mixed nuts × Probability of almonds
Amount of almonds = 18 × [2/9]
Amount of almonds = 36 / 4
Amount of almonds = 4 almonds
Answer:
IT'S B I CAN CONFIRM BC I JUST FINISHED THE TEST
Step-by-step explanation:
find the maclaurin series of the given function f(x)=ln(1-x)
Answer:
[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
Step-by-step explanation:
1) the rule is:
[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]
2) according to the rule above:
[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]
finally,
[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
do my teeth look straight?
answer asap
Answer:
yeah your teeth is good and strong too
Writing a ratlo as a percentage
Manuel has ridden 8 miles of a bike course. The course is 20 miles long. What percentage of the course has Manuel ridden so far?
0
se
%
X 5
?
Three-fourths of the 8th graders at Kingston
Middle School went on the class trip. If 252
students went on the trip, how many 8th
graders are there?
sAnswer:189 students
Step-by-step explanation:
Determine the number of solutions you will have for the system 4y + x = 16 and y = 4 – x.
Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:
D: one solutionThe equations are:
[tex]4y + x = 16 \rightarrow x = 16 - 4y[/tex]
[tex]y = 4 - x \rightarrow x = 4 - y[/tex]
Equaling both equations for x, we have that:
[tex]16 - 4y = 4 - y[/tex]
[tex]3y = 12[/tex]
[tex]y = \frac{12}{3}[/tex]
[tex]y = 4[/tex]
[tex]x = 4 - y = 4 - y = 0[/tex]
Hence, the system has one solution, which is (0,4), and option d is correct.
You can learn more about the number of solutions a system of equations has at https://brainly.com/question/25960609
1. There are 2 hiking trails in Watkins Park. The Spicebush Trail is 2.7 miles and the Loop Trail is 1.7 miles. If you hiked both trails, how many miles would you walk?
2. On your hike, you brought 1.7 pounds of almond trail mix and 1.4 pounds of cashew trail mix. How much trail mix do you have all together?
3. At the end of the hike you still had 2 pounds of trail mix left. How much trail mix did you at on the hike?
4. Solve these decimal addition and subtraction problems with your base-10 blocks or a number line:
5.3 + 7.4
2.45 + 3.95
2.5 – 1.3
4.12 – 2.80
1. Add 2.7 and 1.7 together to discover the total amount
2.7 + 1.7 = 4.4
You would walk 4.4 miles if you walked both trials.
2. Add the amounts of both trail mixes together
1.7 + 1.4 = 3.1
There were 3.1 pounds of trail mix brought on the hiking trip
3. Subtract answer from 2 by 2 and recieve the answer for this question
3.1 - 2 = 1.1
There were 1.1 pounds of trail mix eaten on this hiking trip
4. Answers:
12.7
6.40
1.2
1.32
Complete the recursive formula of the arithmetic sequence -15, -11, -7, -3,...−15,−11,−7,−3,...minus, 15, comma, minus, 11, comma, minus, 7, comma, minus, 3, comma, point, point, point. c(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus
Answer:
c(1) = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
Given arithmetic sequence is,
-15, -11, -7, -3...........
Common difference between each successive and previous term is,
d = -11 - (-15)
= -11 + 15
= 4
Since recursive formula of the arithmetic sequence is represented by,
a₁ = First term of the sequence
a(n) = a(n - 1) + d
where a(n) is the nth term and a(n-1) is the previous term of the nth term.
Form the given sequence,
c₁ = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
Select all the correct answers.
Which equations have a greater unit rate than the rate represented in the table.
We need slope/rate of the table
(3,2)(6,4)[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{4-2}{6-3}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{2}{3}[/tex]
Slopes of all options
5/7=25/213/5=9/151/37/9 7/11=21/33Option D is correct
Option
The designers of a new website expect the number of visitors to the site to double each month. There were 600 visits to the site the first month. Which function can be used to predict the number of visitors during month m
The exponential function used to predict the number of visitors during month m is [tex]y = 600(2)^m[/tex]
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the factor.
Let y represent the number of visitors during month m.
There were 600 visits to the site the first month and they double each month, hence:
a = 600, b = 2
The exponential function is given by:
[tex]y = 600(2)^m[/tex]
Find out more on exponential function at: brainly.com/question/2456547
Write an equation in POINT-SLOPE for a line parallel to y=-2/3x+1 and goes through (5,-2)
Answer: y-(-2)=-2/3(x-5)
Step-by-step explanation:y-y1=m(x-x1)
Plug-in
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
C or the third option.
Step-by-step explanation:
The equation is y = 4x - 4
Hope this helps! Pls give brainliest!
An 80 ounce bottle of apple juice contains 32 ounces of water and 64 ounce bottle of orange juice has 48 ounces of water which juice has a greater percent of water?