Answer: $48,366.78
Step-by-step explanation:
3000(1+0.04/4) 4t
The function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
Here P = $30,000
r = 4% = 0.04
n = 4
t = 12
The function of this situation:
[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4t}[/tex]
Plug t = 12 in the above function.
[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4\times12}[/tex]
A = $48,366.78
So compound interest CI = 48,366.78 - $30,000
CI = $18,366.78
Thus, the function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.
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PLEASE HELP ME I HAVE NO CLUE WHAT THE ANSWER IS PLEASE HELPPP!!!!!!!!
Answer:
I think C
Step-by-step explanation:
oh god sorry if you get this wrong im so sorry.
Which of the following are not polynomials?
Answer:
A, B, C, and D
Step-by-step explanation:
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.
Which system of linear inequalities is represented by the graph?
Answer:
A. y≥[tex]\frac{1}{3\\}[/tex]x+3, 3x-y>2
Step-by-step explanation:
The linear equations above match the lines in terms of slope and y-intercept.
I hope you found this helpful! If you did, I'd really appreciate if you'd mark my work as 'brainliest'. Please don't hesitate to ask any questions!
Have a great day!
The system of linear inequalities of the given points is required.
The system of inequality is
[tex]x-3y\leq -9[/tex]
[tex]3x-y>2[/tex]
Points of the first line
[tex](0,3)[/tex]
[tex](3,4)[/tex]
The equation of the line is
[tex]y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9[/tex]
Let us take a point above this line [tex](2,4)[/tex]
It is also a solid line.
[tex]2-3\times 4=-10<-9[/tex]
So, the inequality is [tex]x-3y\leq -9[/tex]
Points of the second line
[tex](0,-2)[/tex]
[tex](1,1)[/tex]
The equation of the second line is
[tex]y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2[/tex]
Let us take a point towards the right of the line [tex](2,2)[/tex]
[tex]3\times 2-2=4>2[/tex]
Since, the line is dashed the second inequality will be [tex]3x-y>2[/tex]
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Write a rule for the linear function shown in the graph.
y = –x + 4
y = x – 4
y = 3x + 1
y = - 4/1x -1
Answer:
Step-by-step explanation:
it doesn't show anything
Will give brainliest if correct!
Determine the slope of the following
Answer:
m = 2
Step-by-step explanation:
Plug 2 coordinates into the slope formula
(y2-y1)/(x2-x1)
For this I will choose the first and third coordinates:
15-7/5-1 = 2
The slope is 2
Choose the function that correctly identifies the transformation of f(x) = x2 shifted three units to the left and five units up.
og*) = (x - 3)2-5
og(x) = (x - 3)2 + 5
og(x) = (x + 3)2 + 5
o g() = (x + 3)2-5
The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function that correctly identifies the transformation of f(x) = x² shifted three units to the left and five units up is:
g(x) = (x + 3)² + 5
To see why, we can use the following steps:
To shift a function three units to the left, we replace "x" with "(x + 3)".
This is because for any value of "x", "x + 3" represents a point that is three units to the left of "x".
To shift a function five units up, we add 5 to the entire function.
This is because for any value of "x", the value of the function is increased by 5 units.
Combining these transformations, we get:
g(x) = (x + 3)² + 5
This function represents a parabola that is shifted three units to the left and five units up from the original function f(x) = x^2.
Thus,
The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
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What is the distance between points (7,2) and (-4,2) on the coordinate plane?
help? please? maybe?
hii please help i’ll give brainliest if you give a correct answer please please hurry it’s timed (it’s not math but nobody’s answering)
Answer:
they are equal and act in opposite directions
Step-by-step explanation:
-3 is a zero for the polynomial:
x^3 + 7x^2 + 16 x + 12
True or False
Answer:
true
Step-by-step explanation:
If x = - 3 is a zero of the polynomial then f(- 3) = 0
f(x) = x³ + 7x² + 16x + 12
= (- 3)³ + 7(- 3)² + 16(- 3) + 12
= - 27 + 63 - 48 + 12
= 0
Since f(- 3) = 0 then x = - 3 is a zero of the polynomial
What is the slope of a line that passes through (1,4) and (-2,6)
4. What does a purchasing power calculator compare?
A. The relative value of a past amount of dollars to a present amount.
B. Nickels and dimes.
C. How many stores you can buy goods from.
D. Checking and savings accounts.
Answer: A
Step-by-step explanation: A power calculator helps show how much the currency has changed therefore showing the past amount to the present amount
Cook´s bakery is making 15 cakes . Each contains 2 cups of flour . How many cups of flour {f} are needed to make all the cakes
Answer:
A
Step-by-step explanation:
i got from USATestprep
In a school, there are 880 students in
total. If there is 20% more boys than
girls, find the number of boys and girls in the school
Answer:
400 girls.
480 boys.
Step-by-step explanation:
If the number of girls is x then the number of boys is 1.2x, so we have:
x + 1.2x = 880
2.2x = 880
x = 880/2.2
= 400.
Girls = 400, boys = 1.2*400 = 480.
20. Which expression is equal to 3(5x - 6) - 2(4x + 5)
7x-1
9x - 1
9x - 13
0 7x + -28
What is the value of 53?
Answer:
Value of 53 is 53
Step-by-step explanation:
What is the difference between infinite solutions and all real numbers?
Please explain or provide examples.
Willing to give brainliest!!
Answer:
Real numbers are like pi, 4, -3, 1/3, 1.25, -3468374, ......
Infinite solutions are like when you solve a problem and it doesn't work out.
like 2+2 = 3 + 2
4 = 5
It doesn't make sense at all
Hope it helps :)
write 8,000,000 in scientific notation ?
Answer:
A: 8 x 10^6
Step-by-step explanation:
Which pair of measurements is not equivalent?
9.6 cm, 96 mm
1256 m, 12.56 km
340 mm, 0.34 m
720 cm, 7.2 m
Answer:
1256m→12.56km
Step-by-step explanation:
1.256km
A.49
B.-49
C.44 2/15
D.-44 2/15
Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
y
6
2
12
4
30 10
2
y
3 1.8
7 4.2
9 5.4
y
1.2
4
8
2.4
13 3.9
Answer:
The question is unclear. Please provide the table.
yooo help me with #6
Answer:
c
Step-by-step explanation:
4) The path of a satellite orbiting the earth causes it to pass directly over two
tracking stations A and B, which are 60 km apart. When the satellite is on one side of
the two stations, the angles of elevation at A and B are measured to be 86.4 ° and
85 °, respectively.
Find how far the satellite is from station A and how high the satellite is above the
ground. Round your answers to 2 decimal places.
Answers:
Satellite is approximately 2446.43 km from station A.Satellite is approximately 2441.61 km above the ground.=========================================================
Explanation:
I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.
The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths
AB = 60 kmAD = xCD = hFocusing on triangle ACD, we can apply the tangent rule to isolate h.
tan(angle) = opposite/adjacent
tan(A) = CD/AD
tan(86.4) = h/x
x*tan(86.4) = h
h = x*tan(86.4)
We'll use this later in the substitution below.
--------------------
Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say
tan(angle) = opposite/adjacent
tan(B) = CD/DB
tan(B) = CD/(DA+AB)
tan(85) = h/(x+60)
tan(85)*(x+60) = h
tan(85)*(x+60) = x*tan(86.4) ............. apply substitution; isolate x
x*tan(85)+60*tan(85) = x*tan(86.4)
60*tan(85) = x*tan(86.4)-x*tan(85)
60*tan(85) = x*(tan(86.4)-tan(85))
x*(tan(86.4)-tan(85)) = 60*tan(85)
x = 60*tan(85)/(tan(86.4)-tan(85))
x = 153.612786190499
--------------------
We'll use this approximate x value to find h
h = x*tan(86.4)
h = 153.612786190499*tan(86.4)
h = 2441.60531869599
h = 2441.61 km is how high the satellite is above the ground.
Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(86.4) = x/AC
cos(86.4) = 153.612786190499/AC
AC*cos(86.4) = 153.612786190499
AC = 153.612786190499/cos(86.4)
AC = 2446.43279498247
AC = 2446.43 km is the distance from the satellite to station A.
The number of inches in c feet is.
Answer:
this didn't make sense
Step-by-step explanation:
can u explain it again sorry
On a map, the distance between New York City and Los Angeles is 31 inches. If the scale of the map is 1 inch: 90 miles , what is the actual distance between New York City and Los Angeles?
The area of a circle is 169π
What is the value of r?
Answer:
radius is 7.33...
Step-by-step explanation:
I think that is the answer but i am not very sure
Help me please!
If you get it right, I’ll will brainliest u!!
Answer:
A :)
Step-by-step explanation:
Law of Syllogism: q=r r=q
If complementary angles = 90-degree angles, then 90-degree angles = complementary angles
A triangle has an angle that measures 25. The other two angles are in a ratio of 11:20. What are the measures of those two angles?
Answer:
The measures of the two angles are 55 and 100 degrees.
Step-by-step explanation:
The three interior angles of a triangle always add up to 180.
So if one angle is 25 degrees
180 - 25 = 155
The two other angles must add up to 155.
If the ratio is 11:20
That means there are 31 equal parts between the two angles
So 155/31 =5
Whic means
11 x 5 = 55
20 x 5 = 100
The two missing angles are 55 and 100 degrees.
Hope this explanation helped you!
Please help me !!
Will give brainliest
Answer:
D) SC+DB=SB
Step-by-step explanation:
D) SC+DB=SB is NOT true
9 sec x + 9 tan x = 9
Answer:
Lowest root is 0 degrees.
Step-by-step explanation:
divide through by 9:
sec x + tan x = 1
sec^2x = 1 + tan^2 x so
√(1 + tan^2x) + tanx = 1
√(1 + tan^2x) = 1 - tanx
Squaring both sides:
1 + tan^2 x = 1 - 2 tanx + tan^2 x
1 = 1 - 2 tan x
2tanx = 0
x = 0 degree.
Help=pts 3and4!!!!!!!!
See picture. If it’s sideways, use the rotate button.